Details

Time bar (total: 16.2s)

sample181.0ms

Algorithm
intervals
Results
73.0ms61×body1280valid
44.0ms131×body80valid
31.0ms37×body640valid
10.0ms16×body320valid
7.0ms11×body160valid

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
418
318
216
113
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ (- (sin (+ x 1e-05)) (sin x)) 1e-05)
0.8b
(- (sin (+ x 1e-05)) (sin x))
1.8b
(sin (+ x 1e-05))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
18×times-frac
14×add-cube-cbrt
associate-/l*
add-cbrt-cube diff-sin add-exp-log distribute-lft-out-- add-log-exp difference-of-squares
pow1 associate-/r* insert-posit16
flip3-- sin-sum flip-- associate-/l/
cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp associate--l+ div-inv
Counts
3 → 69
Calls
3 calls:
118.0ms
(/ (- (sin (+ x 1e-05)) (sin x)) 1e-05)
88.0ms
(- (sin (+ x 1e-05)) (sin x))
17.0ms
(sin (+ x 1e-05))

series198.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(/ (- (sin (+ x 1e-05)) (sin x)) 1e-05)
66.0ms
(- (sin (+ x 1e-05)) (sin x))
36.0ms
(sin (+ x 1e-05))

simplify2.4s

Counts
78 → 78
Iterations
IterNodes
43914
31753
2663
1296
0133

prune720.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin x) (cos 1e-05))
0.2b
(* (cos x) (sin 1e-05))
0.7b
(/ (- (+ (* (sin x) (cos 1e-05)) (* (cos x) (sin 1e-05))) (sin x)) 1e-05)
6.9b
(- (+ (* (sin x) (cos 1e-05)) (* (cos x) (sin 1e-05))) (sin x))

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
18×add-cube-cbrt
15×times-frac
10×add-cbrt-cube add-exp-log
add-log-exp
pow1
associate-*r* associate-*l*
associate-/l* distribute-lft-out-- difference-of-squares
insert-posit16
associate-/r*
flip3-- diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-- unswap-sqr associate-/l/
cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv sin-cos-mult
Counts
4 → 95
Calls
4 calls:
26.0ms
(* (sin x) (cos 1e-05))
25.0ms
(* (cos x) (sin 1e-05))
161.0ms
(/ (- (+ (* (sin x) (cos 1e-05)) (* (cos x) (sin 1e-05))) (sin x)) 1e-05)
110.0ms
(- (+ (* (sin x) (cos 1e-05)) (* (cos x) (sin 1e-05))) (sin x))

series1.2s

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (sin x) (cos 1e-05))
186.0ms
(* (cos x) (sin 1e-05))
413.0ms
(/ (- (+ (* (sin x) (cos 1e-05)) (* (cos x) (sin 1e-05))) (sin x)) 1e-05)
361.0ms
(- (+ (* (sin x) (cos 1e-05)) (* (cos x) (sin 1e-05))) (sin x))

simplify2.9s

Counts
107 → 107
Iterations
IterNodes
35173
21319
1452
0192

prune1.4s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 6.3b

regimes204.0ms

Accuracy

0% (0.9b remaining)

Error of 7.4b against oracle of 6.4b and baseline of 7.4b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
217
117
014

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.4s1754×body1280valid
1.2s1273×body640valid
876.0ms4004×body80valid
557.0ms654×body320valid
140.0ms315×body160valid