Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	10
43.7%	56.2%	0.1%	11
43.7%	56.2%	0.1%	12
43.7%	56.2%	0.1%	13
61.7%	38.2%	0.1%	14

sample38.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5335	55

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 25.5b

Counts

2 → 1

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
0.0b	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
24.7b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_2485`
15×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
12×	`add-cube-cbrt_binary64_2471` `*-un-lft-identity_binary64_2500`
10×	`pow1_binary64_2446`
9×	`associate-l_binary64_2560` `associate-r_binary64_2559`
8×	`associate-*l/_binary64_2562` `associate-/l/_binary64_2566`
7×	`flip3-+_binary64_2498` `flip-+_binary64_2525`
4×	`frac-times_binary64_2492` `add-log-exp_binary64_2465` `prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
3×	`times-frac_binary64_2495` `pow-prod-down_binary64_2427` `associate-/r_binary64_2563` `unswap-sqr_binary64_2528` `-commutative_binary64_2568` `flip--_binary64_2526` `flip3--_binary64_2499`
2×	`associate-/r/_binary64_2565` `div-exp_binary64_2453` `cbrt-undiv_binary64_2470` `associate-*r/_binary64_2561`
1×	`frac-2neg_binary64_2493` `div-inv_binary64_2501` `associate-/l*_binary64_2564` `clear-num_binary64_2503`

Counts

4 → 91

Calls

4 calls:

14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
10.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
7.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
33.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

series236.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
16.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
41.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
146.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

simplify96.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4993	3273
1	4993	3273

prune508.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
0.0b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
24.1b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2485`
18×	`add-cube-cbrt_binary64_2471` `*-un-lft-identity_binary64_2500`
12×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
10×	`pow1_binary64_2446`
9×	`associate-l_binary64_2560` `times-frac_binary64_2495` `associate-r_binary64_2559`
6×	`associate-*r/_binary64_2561`
5×	`flip3-+_binary64_2498` `flip-+_binary64_2525`
4×	`add-log-exp_binary64_2465`
3×	`distribute-rgt-in_binary64_2543` `distribute-lft-in_binary64_2542` `associate-/l_binary64_2564` `pow-prod-down_binary64_2427` `associate-/r_binary64_2563` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `*-commutative_binary64_2568` `cbrt-unprod_binary64_2469`
2×	`associate-/l/_binary64_2566` `associate-/r/_binary64_2565`
1×	`div-exp_binary64_2453` `frac-2neg_binary64_2493` `div-inv_binary64_2501` `cbrt-undiv_binary64_2470` `clear-num_binary64_2503`

Counts

4 → 97

Calls

4 calls:

14.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
10.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
7.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
33.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

series217.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
15.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
40.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
128.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

simplify122.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5416	3537

prune456.0ms

Filtered

78 candidates to 109 candidates (-39.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	109	7	116

Merged error: 0.0b

Counts

116 → 7

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
0.2b	(/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
24.4b	(.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_2485`
25×	`*-un-lft-identity_binary64_2500`
24×	`add-cube-cbrt_binary64_2471`
21×	`associate-r_binary64_2559`
20×	`times-frac_binary64_2495`
18×	`add-exp-log_binary64_2464`
15×	`add-cbrt-cube_binary64_2472`
11×	`pow1_binary64_2446`
9×	`associate-l_binary64_2560`
6×	`flip3-+_binary64_2498` `flip-+_binary64_2525`
5×	`prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `associate-*r/_binary64_2561`
4×	`associate-/r/_binary64_2565` `add-log-exp_binary64_2465` `cbrt-unprod_binary64_2469`
3×	`associate-/l_binary64_2564` `pow-prod-down_binary64_2427` `associate-/r_binary64_2563` `*-commutative_binary64_2568`
2×	`associate-*l/_binary64_2562` `distribute-rgt-in_binary64_2543` `div-exp_binary64_2453` `frac-times_binary64_2492` `distribute-lft-in_binary64_2542` `div-inv_binary64_2501` `cbrt-undiv_binary64_2470` `rec-exp_binary64_2452`
1×	`inv-pow_binary64_2422` `frac-2neg_binary64_2493` `pow-flip_binary64_2430` `un-div-inv_binary64_2502` `clear-num_binary64_2503`

Counts

4 → 117

Calls

4 calls:

10.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
7.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
14.0ms	(/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
33.0ms	(.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
36.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
19.0ms	(/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
131.0ms	(.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (/.f64 1 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

simplify108.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5000	4277

prune500.0ms

Filtered

85 candidates to 129 candidates (-51.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	130	6	136

Merged error: 0.0b

Counts

136 → 6

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
0.0b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
25.1b	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 2 2)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 x 2)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
16×	`add-sqr-sqrt_binary64_2485`
12×	`flip3-+_binary64_2498` `flip-+_binary64_2525`
10×	`add-cube-cbrt_binary64_2471` `pow1_binary64_2446` `*-un-lft-identity_binary64_2500`
9×	`associate-l_binary64_2560` `associate-r_binary64_2559`
8×	`associate-*l/_binary64_2562` `associate-/l/_binary64_2566` `associate-/r/_binary64_2565` `frac-times_binary64_2492`
7×	`prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
6×	`associate-*r/_binary64_2561`
4×	`div-exp_binary64_2453` `add-log-exp_binary64_2465` `cbrt-undiv_binary64_2470`
3×	`pow-prod-down_binary64_2427` `unswap-sqr_binary64_2528` `*-commutative_binary64_2568` `flip--_binary64_2526` `flip3--_binary64_2499`
1×	`distribute-rgt-in_binary64_2543` `frac-2neg_binary64_2493` `distribute-lft-in_binary64_2542` `div-inv_binary64_2501` `associate-/l_binary64_2564` `times-frac_binary64_2495` `associate-/r_binary64_2563` `clear-num_binary64_2503`

Counts

4 → 99

Calls

4 calls:

14.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
10.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
7.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
37.0ms	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 2 2)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 x 2)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
14.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
41.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
174.0ms	(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 2 2)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 x 2)))

simplify91.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5340	3951

prune462.0ms

Filtered

83 candidates to 111 candidates (-33.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

regimes382.0ms

Accuracy

95.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 24.3b

bsearch72.0ms

Steps

Iters	Range		Point
10	12075886598982471390605949711593504768	3971447035505543974936699960517238431431872479232	9.310362894471865e+39
5	-23074284506636554812797222912	-11036901078926954074713620480	-1.412551777087716e+28

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	85	94
1	85	94

end0.0ms

sample918.0ms

Algorithm

intervals

Results

682.0ms	8000×	body	80	valid
1.0ms	8×	body	80	invalid

Details

analyze1.0s

sample38.0ms

simplify86.0ms

prune13.0ms

localize43.0ms

rewrite67.0ms

series236.0ms

simplify96.0ms

prune508.0ms

localize38.0ms

rewrite67.0ms

series217.0ms

simplify122.0ms

prune456.0ms

localize48.0ms

rewrite68.0ms

series201.0ms

simplify108.0ms

prune500.0ms

localize53.0ms

rewrite72.0ms

series260.0ms

simplify91.0ms

prune462.0ms

regimes382.0ms

bsearch72.0ms

simplify4.0ms

end0.0ms

sample918.0ms

Profiling