Details

analyze319.0ms

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

sample48.0ms

Algorithm

intervals

Results

26.0ms	114×	body	5120	exit
7.0ms	193×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	13×	body	640	valid
1.0ms	18×	body	160	valid
0.0ms	2×	body	80	invalid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4946	18
1	4946	18

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 14.5b

Counts

2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
0.0b	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
4.4b	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
16×	`add-cube-cbrt_binary64_561` `times-frac_binary64_585`
8×	`add-cbrt-cube_binary64_562` `add-log-exp_binary64_555`
7×	`add-exp-log_binary64_554`
6×	`pow1_binary64_532`
5×	`distribute-rgt1-in_binary64_639` `distribute-rgt-out_binary64_636` `associate-/r*_binary64_653`
3×	`associate-l_binary64_650` `associate-r_binary64_649` `associate-/l*_binary64_654`
2×	`flip-+_binary64_615` `flip--_binary64_616` `difference-of-squares_binary64_619` `div-sub_binary64_584` `flip3--_binary64_589` `associate-/r/_binary64_655` `associate-/l/_binary64_656` `flip3-+_binary64_588`
1×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `sub-neg_binary64_594` `+-commutative_binary64_657` `div-inv_binary64_591` `unswap-sqr_binary64_618` `cbrt-undiv_binary64_560` `prod-exp_binary64_537` `*-commutative_binary64_658` `frac-2neg_binary64_583` `associate--r-_binary64_648` `distribute-lft-out--_binary64_635` `clear-num_binary64_593` `diff-log_binary64_501` `sum-log_binary64_500` `div-exp_binary64_539`

Counts

4 → 86

Calls

4 calls:

5.0ms	(*.f64 wj (exp.f64 wj))
4.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
10.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
14.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 wj (exp.f64 wj))
24.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
53.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
62.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5054	2043

prune93.0ms

Filtered

80 candidates to 98 candidates (-22.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	5	100

Merged error: 0.3b

Counts

100 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 wj (-.f64 wj (.f64 x 2)))
0.0b	(+.f64 x (.f64 wj (-.f64 wj (.f64 x 2))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_575`
4×	`add-cbrt-cube_binary64_562` `sub-neg_binary64_594` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `add-log-exp_binary64_555` `*-un-lft-identity_binary64_590` `pow1_binary64_532`
3×	`associate-l_binary64_650` `associate-r_binary64_649`
2×	`associate-+r+_binary64_641` `distribute-rgt-in_binary64_633` `distribute-lft-in_binary64_632` `associate-*r/_binary64_651`
1×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `flip-+_binary64_615` `+-commutative_binary64_657` `flip--_binary64_616` `unswap-sqr_binary64_618` `prod-exp_binary64_537` `*-commutative_binary64_658` `flip3--_binary64_589` `flip3-+_binary64_588` `sum-log_binary64_500`

Counts

2 → 35

Calls

2 calls:

6.0ms	(.f64 wj (-.f64 wj (.f64 x 2)))
4.0ms	(+.f64 x (.f64 wj (-.f64 wj (.f64 x 2))))

series60.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(.f64 wj (-.f64 wj (.f64 x 2)))
30.0ms	(+.f64 x (.f64 wj (-.f64 wj (.f64 x 2))))

simplify48.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5054	598

prune38.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	37	9	46

Merged error: 0.3b

Counts

46 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_557`
23×	`add-sqr-sqrt_binary64_575`
15×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
11×	`pow1_binary64_532`
9×	`pow1/3_binary64_524`
6×	`swap-sqr_binary64_617` `add-exp-log_binary64_554` `associate-l_binary64_650` `associate-r_binary64_649`
4×	`add-cbrt-cube_binary64_562` `unswap-sqr_binary64_618` `add-log-exp_binary64_555`
2×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `pow-sqr_binary64_623`
1×	`cbrt-unprod_binary64_559` `pow2_binary64_523` `prod-exp_binary64_537` `*-commutative_binary64_658` `pow-plus_binary64_527`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series372.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
84.0ms	(cbrt.f64 wj)
87.0ms	(cbrt.f64 wj)
88.0ms	(cbrt.f64 wj)

simplify96.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune71.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.3b

Counts

94 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 wj (.f64 x 2))) (cbrt.f64 (-.f64 wj (*.f64 x 2))))
0.5b	(cbrt.f64 (-.f64 wj (*.f64 x 2)))
0.5b	(cbrt.f64 (-.f64 wj (*.f64 x 2)))
0.5b	(cbrt.f64 (-.f64 wj (*.f64 x 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_557`
23×	`add-sqr-sqrt_binary64_575`
18×	`cbrt-div_binary64_558`
15×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
11×	`pow1_binary64_532`
9×	`pow1/3_binary64_524` `flip--_binary64_616` `flip3--_binary64_589`
6×	`swap-sqr_binary64_617` `add-exp-log_binary64_554` `associate-l_binary64_650` `associate-r_binary64_649`
4×	`add-cbrt-cube_binary64_562` `unswap-sqr_binary64_618` `frac-times_binary64_582` `add-log-exp_binary64_555`
2×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `associate-l/_binary64_652` `associate-r/_binary64_651` `pow-sqr_binary64_623`
1×	`cbrt-unprod_binary64_559` `pow2_binary64_523` `prod-exp_binary64_537` `*-commutative_binary64_658` `pow-plus_binary64_527`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (-.f64 wj (.f64 x 2))) (cbrt.f64 (-.f64 wj (*.f64 x 2))))
3.0ms	(cbrt.f64 (-.f64 wj (*.f64 x 2)))
3.0ms	(cbrt.f64 (-.f64 wj (*.f64 x 2)))
3.0ms	(cbrt.f64 (-.f64 wj (*.f64 x 2)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(.f64 (cbrt.f64 (-.f64 wj (.f64 x 2))) (cbrt.f64 (-.f64 wj (*.f64 x 2))))
121.0ms	(cbrt.f64 (-.f64 wj (*.f64 x 2)))
122.0ms	(cbrt.f64 (-.f64 wj (*.f64 x 2)))
121.0ms	(cbrt.f64 (-.f64 wj (*.f64 x 2)))

simplify98.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4926	1829
1	4926	1829

prune114.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	99	10	109

Merged error: 0.3b

Counts

109 → 10

regimes42.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	25
1	41	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

832.0ms	3858×	body	5120	exit
224.0ms	6200×	body	80	valid
92.0ms	828×	body	320	valid
73.0ms	445×	body	640	valid
37.0ms	527×	body	160	valid
3.0ms	74×	body	80	invalid
0.0ms	9×	body	80	overflowed

Details

analyze319.0ms

sample48.0ms

simplify100.0ms

prune4.0ms

localize8.0ms

rewrite35.0ms

series160.0ms

simplify79.0ms

prune93.0ms

localize6.0ms

rewrite10.0ms

series60.0ms

simplify48.0ms

prune38.0ms

localize10.0ms

rewrite11.0ms

series372.0ms

simplify96.0ms

prune71.0ms

localize10.0ms

rewrite20.0ms

series505.0ms

simplify98.0ms

prune114.0ms

regimes42.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.5s

Profiling