Details

Time bar (total: 17.7s)

sample250.0ms

Algorithm
intervals
Results
74.0ms60×body1280valid
63.0ms63×body640valid
52.0ms36×body320valid
13.0ms32×body160valid
11.0ms65×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11913
22213
32413
done2413

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(atan (/ (- y x) (+ 1.0 (* x y))))
0.0b
(+ (atan (/ (- y x) (+ 1.0 (* x y)))) z)
10.8b
(/ (- y x) (+ 1.0 (* x y)))
16.8b
(tan (+ (atan (/ (- y x) (+ 1.0 (* x y)))) z))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
14×add-cube-cbrt
add-cbrt-cube add-exp-log add-log-exp
associate-/l*
pow1 distribute-lft-out-- difference-of-squares
associate-/r*
flip3-+ associate-/r/ flip-+ associate-/l/
cbrt-undiv +-commutative tan-sum clear-num sum-log frac-2neg flip3-- div-sub div-exp tan-quot div-inv flip-- distribute-lft-out
Counts
4 → 68
Calls
4 calls:
19.0ms
(atan (/ (- y x) (+ 1.0 (* x y))))
12.0ms
(+ (atan (/ (- y x) (+ 1.0 (* x y)))) z)
82.0ms
(/ (- y x) (+ 1.0 (* x y)))
15.0ms
(tan (+ (atan (/ (- y x) (+ 1.0 (* x y)))) z))

series411.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(atan (/ (- y x) (+ 1.0 (* x y))))
36.0ms
(+ (atan (/ (- y x) (+ 1.0 (* x y)))) z)
80.0ms
(/ (- y x) (+ 1.0 (* x y)))
289.0ms
(tan (+ (atan (/ (- y x) (+ 1.0 (* x y)))) z))

simplify1.3s

Counts
80 → 80
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01651484
14001444
217321354
done50001352

prune907.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 15.4b

localize50.0ms

Local error

Found 4 expressions with local error:

10.8b
(/ (- y x) (+ 1.0 (* x y)))
10.8b
(/ (- y x) (+ 1.0 (* x y)))
29.2b
(tan (atan (/ (- y x) (+ 1.0 (* x y)))))
29.2b
(tan (atan (/ (- y x) (+ 1.0 (* x y)))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt *-un-lft-identity
30×times-frac
24×add-cube-cbrt
10×associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- difference-of-squares
associate-/r*
pow1 associate-/r/ add-log-exp associate-/l/
cbrt-undiv clear-num tan-atan frac-2neg flip3-+ flip3-- div-sub div-exp tan-quot flip-+ div-inv flip--
Counts
4 → 98
Calls
4 calls:
50.0ms
(/ (- y x) (+ 1.0 (* x y)))
39.0ms
(/ (- y x) (+ 1.0 (* x y)))
6.0ms
(tan (atan (/ (- y x) (+ 1.0 (* x y)))))
5.0ms
(tan (atan (/ (- y x) (+ 1.0 (* x y)))))

series337.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (- y x) (+ 1.0 (* x y)))
79.0ms
(/ (- y x) (+ 1.0 (* x y)))
90.0ms
(tan (atan (/ (- y x) (+ 1.0 (* x y)))))
78.0ms
(tan (atan (/ (- y x) (+ 1.0 (* x y)))))

simplify978.0ms

Counts
110 → 110
Iterations

Useful iterations: done (971.0ms)

IterNodesCost
01081774
12651736
211511600
done50001596

prune2.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.4b

regimes2.2s

Accuracy

78.2% (2.4b remaining)

Error of 7.4b against oracle of 4.9b and baseline of 16.1b

bsearch352.0ms

Steps
ItersRangePoint
8
8.333801048120717e-46
1.3682429439653268e-42
1.8640698563418134e-43
9
-5.325924954965271e-31
-2.3219860935419092e-36
-5.244091637349407e-32

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
029123
14081
done4081

end0.0ms

sample8.3s

Algorithm
intervals
Results
2.9s1848×body1280valid
2.6s1939×body640valid
1.0s1266×body320valid
551.0ms2228×body80valid
537.0ms719×body160valid