Details

analyze1.9s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample44.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
2.0ms	19×	body	80	invalid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5461	37

prune10.0ms

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: 27.2b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z)
2.4b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
25.9b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `prod-exp_binary64` `associate-l/_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `unswap-sqr_binary64` `times-frac_binary64` `-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 87

Calls

4 calls:

8.0ms	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z)
18.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
35.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series255.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z)
9.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z)
60.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
176.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5003	2045

prune209.0ms

Filtered

78 candidates to 99 candidates (-26.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.3b

Counts

100 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
0.1b	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))
23.9b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
64×	`add-sqr-sqrt_binary64`
60×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`associate-/r*_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
8×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 153

Calls

4 calls:

8.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
28.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))
31.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

series243.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
7.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
171.0ms	(/.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b)))
56.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

simplify93.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4989	6494
1	4989	6494

prune377.0ms

Filtered

127 candidates to 165 candidates (-29.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	165	8	173

Merged error: 0.3b

Counts

173 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
2.1b	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
25.1b	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`associate-l_binary64`
19×	`times-frac_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64`
6×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`

Counts

4 → 113

Calls

4 calls:

7.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
13.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
15.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
32.0ms	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

series236.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
7.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
45.0ms	(/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
175.0ms	(.f64 (/.f64 y (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b))

simplify66.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4977	3005
1	4977	3005

prune217.0ms

Filtered

90 candidates to 125 candidates (-38.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	125	8	133

Merged error: 0.3b

Counts

133 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
0.1b	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
0.2b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
23.9b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`times-frac_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
5×	`flip3-+_binary64` `associate-*r/_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 109

Calls

4 calls:

7.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
12.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
30.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
30.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series248.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262))
7.0ms	(.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z 3.13060547623) 11.1667541262)) t))
171.0ms	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
62.0ms	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (.f64 z 3.13060547623) 11.1667541262)) t)) a)) b) (+.f64 (.f64 z (+.f64 (.f64 z (+.f64 (*.f64 z (+.f64 z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify60.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5096	3335

prune198.0ms

Filtered

89 candidates to 121 candidates (-36.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	120	9	129

Merged error: 0.3b

Counts

129 → 9

regimes858.0ms

Accuracy

97.2% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 27.7b

bsearch28.0ms

Steps

Iters	Range		Point
3	4.3409877297504317e+52	5.118274257742305e+52	4.379279834858161e+52
5	-7.028339589576893e+40	-2.627337561854361e+40	-3.3456124168296954e+40

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	61
1	84	61

end0.0ms

sample1.1s

Algorithm

intervals

Results

721.0ms	8000×	body	80	valid
79.0ms	878×	body	80	invalid

Details

analyze1.9s

sample44.0ms

simplify103.0ms

prune10.0ms

localize23.0ms

rewrite74.0ms

series255.0ms

simplify50.0ms

prune209.0ms

localize27.0ms

rewrite84.0ms

series243.0ms

simplify93.0ms

prune377.0ms

localize24.0ms

rewrite70.0ms

series236.0ms

simplify66.0ms

prune217.0ms

localize25.0ms

rewrite83.0ms

series248.0ms

simplify60.0ms

prune198.0ms

regimes858.0ms

bsearch28.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling