Details

Time bar (total: 24.3s)

sample185.0ms

Algorithm
intervals
Results
84.0ms59×body2560valid
33.0ms44×body1280valid
26.0ms43×body640valid
12.0ms76×body80valid
10.0ms22×body320valid
3.0ms12×body160valid

simplify112.0ms

Counts
1 → 1
Iterations
IterNodes
853
753
652
550
447
344
228
118
07

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize21.0ms

Local error

Found 2 expressions with local error:

1.5b
(- 1 (cos x))
16.2b
(/ (- 1 (cos x)) (* x x))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
add-cbrt-cube add-exp-log
times-frac associate-/l* difference-of-squares
add-cube-cbrt add-log-exp
distribute-lft-out--
pow1 cbrt-undiv flip3-- div-exp insert-posit16 flip-- associate-/l/
clear-num associate-/r* sub-neg frac-2neg diff-log div-sub prod-exp cbrt-unprod div-inv
Counts
2 → 47
Calls
2 calls:
14.0ms
(- 1 (cos x))
38.0ms
(/ (- 1 (cos x)) (* x x))

series148.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- 1 (cos x))
107.0ms
(/ (- 1 (cos x)) (* x x))

simplify5.9s

Counts
53 → 53
Iterations
IterNodes
45948
31852
2642
1224
093

prune580.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (sin x) (sin x)) (+ 1 (cos x)))
0.2b
(* (sin x) (sin x))
0.4b
(+ 1 (cos x))
16.1b
(/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
24×*-un-lft-identity
22×times-frac
16×add-sqr-sqrt
14×add-cube-cbrt
12×cbrt-undiv div-exp
11×pow1 associate-/l*
prod-exp cbrt-unprod
associate-/r/ add-log-exp
associate-/r* distribute-lft-out
flip3-+ flip-+ insert-posit16 div-inv
div-sub swap-sqr associate-*r* associate-*l* sqr-sin
clear-num frac-2neg sin-mult associate-/l/
pow2 +-commutative sum-log pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 115
Calls
4 calls:
38.0ms
(/ (* (sin x) (sin x)) (+ 1 (cos x)))
27.0ms
(* (sin x) (sin x))
12.0ms
(+ 1 (cos x))
57.0ms
(/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))

series268.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ (* (sin x) (sin x)) (+ 1 (cos x)))
44.0ms
(* (sin x) (sin x))
19.0ms
(+ 1 (cos x))
130.0ms
(/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))

simplify9.0s

Counts
127 → 127
Iterations
IterNodes
39886
21808
1493
0182

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
29
19
08

end0.0ms

sample6.3s

Algorithm
intervals
Results
3.2s1582×body2560valid
1.0s1260×body1280valid
856.0ms1453×body640valid
520.0ms935×body320valid
310.0ms2289×body80valid
179.0ms481×body160valid