Details

analyze310.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample16.0ms

Algorithm

intervals

Results

8.0ms	254×	body	80	valid
1.0ms	18×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	135	10
1	135	10

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: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_590`
5×	`associate-r_binary64_649` `add-sqr-sqrt_binary64_575`
3×	`add-cbrt-cube_binary64_562` `distribute-lft-out_binary64_634` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `pow1_binary64_532` `associate-l_binary64_650`
2×	`associate-*r/_binary64_651`
1×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `flip-+_binary64_615` `unswap-sqr_binary64_618` `prod-exp_binary64_537` `distribute-rgt-in_binary64_633` `*-commutative_binary64_658` `add-log-exp_binary64_555` `distribute-lft-in_binary64_632` `flip3-+_binary64_588`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify93.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4935	321
1	4935	321

prune21.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64_555`
7×	`*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
5×	`add-cbrt-cube_binary64_562` `add-cube-cbrt_binary64_561` `add-exp-log_binary64_554` `pow1_binary64_532`
4×	`associate-l_binary64_650` `sum-log_binary64_500`
3×	`flip-+_binary64_615` `associate-r_binary64_649` `flip3-+_binary64_588`
2×	`+-commutative_binary64_657` `associate-*l/_binary64_652`
1×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `associate-+l+_binary64_642` `distribute-lft-out_binary64_634` `unswap-sqr_binary64_618` `prod-exp_binary64_537` `*-commutative_binary64_658`

Counts

3 → 45

Calls

3 calls:

6.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

series82.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(*.f64 (+.f64 d3 5) d1)
30.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
31.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

simplify62.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5033	688

prune40.0ms

Filtered

39 candidates to 54 candidates (-38.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
2.6b	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))
4.1b	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
29.6b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_590`
30×	`associate-*r/_binary64_651`
28×	`flip-+_binary64_615` `flip3-+_binary64_588`
26×	`distribute-lft-out_binary64_634`
16×	`unpow-prod-down_binary64_521` `cube-prod_binary64_563` `frac-sub_binary64_581`
13×	`associate-r_binary64_649`
11×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554`
10×	`add-sqr-sqrt_binary64_575`
8×	`add-cube-cbrt_binary64_561` `frac-times_binary64_582` `add-log-exp_binary64_555`
6×	`pow1_binary64_532` `associate-*l/_binary64_652`
4×	`sub-div_binary64_579`
3×	`distribute-rgt-in_binary64_633` `times-frac_binary64_585` `distribute-lft-in_binary64_632` `associate-l_binary64_650` `associate-/r*_binary64_653`
2×	`cbrt-unprod_binary64_559` `associate--l+_binary64_646` `cbrt-undiv_binary64_560` `prod-exp_binary64_537` `sum-cubes_binary64_586` `associate--r+_binary64_645` `associate-/r/_binary64_655` `associate-/l/_binary64_656` `div-exp_binary64_539`
1×	`pow-prod-down_binary64_513` `sub-neg_binary64_594` `+-commutative_binary64_657` `flip--_binary64_616` `div-inv_binary64_591` `unswap-sqr_binary64_618` `-commutative_binary64_658` `distribute-rgt-out--_binary64_637` `frac-2neg_binary64_583` `flip3--_binary64_589` `associate-/l_binary64_654` `clear-num_binary64_593` `diff-log_binary64_501` `sum-log_binary64_500`

Counts

4 → 114

Calls

4 calls:

11.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
16.0ms	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))
18.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
27.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
38.0ms	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))
138.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
232.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

simplify103.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4953	3446
1	4953	3446

prune146.0ms

Filtered

82 candidates to 126 candidates (-53.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	126	4	130

Merged error: 0b

Counts

130 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1))
0.2b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_590`
11×	`associate-l_binary64_650` `add-sqr-sqrt_binary64_575`
9×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554` `pow1_binary64_532`
7×	`add-cube-cbrt_binary64_561` `sqrt-prod_binary64_569` `associate-r_binary64_649`
4×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `prod-exp_binary64_537` `associate-*l/_binary64_652`
3×	`distribute-lft-out_binary64_634`
2×	`flip-+_binary64_615` `unswap-sqr_binary64_618` `-commutative_binary64_658` `add-log-exp_binary64_555` `flip3-+_binary64_588` `associate-r/_binary64_651`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1))
14.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1)))

series88.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(*.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1))
42.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 (+.f64 d3 37)) (sqrt.f64 d1)))

simplify58.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	795
1	4957	795

prune30.0ms

Filtered

37 candidates to 55 candidates (-48.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	55	4	59

Merged error: 0b

Counts

59 → 4

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms

sample469.0ms

Algorithm

intervals

Results

273.0ms	7956×	body	80	valid
23.0ms	698×	body	80	invalid
2.0ms	12×	body	1280	valid
1.0ms	12×	body	640	valid
1.0ms	13×	body	320	valid
0.0ms	7×	body	160	valid

Details

analyze310.0ms

sample16.0ms

simplify15.0ms

prune4.0ms

localize5.0ms

rewrite9.0ms

series28.0ms

simplify93.0ms

prune21.0ms

localize9.0ms

rewrite19.0ms

series82.0ms

simplify62.0ms

prune40.0ms

localize16.0ms

rewrite79.0ms

series430.0ms

simplify103.0ms

prune146.0ms

localize7.0ms

rewrite25.0ms

series88.0ms

simplify58.0ms

prune30.0ms

regimes56.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample469.0ms

Profiling