Details

Time bar (total: 5.0s)

sample77.0ms

Algorithm
intervals
Results
31.0ms94×body2560valid
20.0ms90×body1280valid
7.0ms40×body640valid
6.0ms234×body80nan
2.0ms16×body320valid
0.0ms6×body160valid
0.0ms10×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0207
1437
2847
31557
42627
54547
628787
750017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
0.1b
(* 5.0 (* v v))
0.4b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×add-exp-log add-cbrt-cube
8×pow1
4×associate-/r* difference-of-squares
3×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv acos-asin frac-2neg div-sub div-exp associate-*r* clear-num *-commutative div-inv unswap-sqr
Counts
3 → 69
Calls
3 calls:
10.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
6.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series112.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))
28.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0349623
11288567
25001565

prune166.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 1 expressions with local error:

0.4b
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log acos-asin add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(acos (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

simplify91.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03093
15482
215382
342382
4190982
5500182

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))
0.4b
(asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
45×*-un-lft-identity
43×add-cube-cbrt
39×prod-diff
37×times-frac
13×fma-neg
4×div-inv add-log-exp
2×pow1 add-exp-log expm1-log1p-u asin-acos add-cbrt-cube log1p-expm1-u difference-of-squares
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- associate--r-
Counts
2 → 80
Calls
2 calls:
14.0ms
(- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))
0.0ms
(asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

series39.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))
6.0ms
(asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))

simplify157.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
02621948
17051130
237131107
350011078

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))
1.0b
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
1.0b
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
1.0b
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 115
Calls
4 calls:
58.0ms
(* (cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))
7.0ms
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
7.0ms
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
7.0ms
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
296.0ms
(* (cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))) (cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0))))))
244.0ms
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
238.0ms
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))
241.0ms
(cbrt (- (/ PI 2) (asin (fma 4.0 (fma v v (pow v 4)) (- 1.0)))))

simplify120.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
02042290
16512169
232892014
350011995

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

regimes46.0ms

Accuracy

0% (0.0b remaining)

Error of 0.8b against oracle of 0.7b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.0s3042×body2560valid
561.0ms2524×body1280valid
216.0ms8044×body80nan
194.0ms1176×body640valid
72.0ms615×body320valid
36.0ms425×body160valid
10.0ms218×body80valid