Details

analyze148.0ms

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4964	31
1	4964	31

prune6.0ms

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: 0.2b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/_binary64`
17×	`pow1_binary64` `add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
10×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `frac-add_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`pow-to-exp_binary64` `distribute-lft-out_binary64` `unpow2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 91

Calls

4 calls:

15.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
11.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
6.0ms	(.f64 (.f64 a a) (+.f64 1 a))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5407	1360

prune118.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Merged error: 0.0b

Counts

104 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.1b	(.f64 (.f64 b b) (*.f64 a a))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

44×	`pow1_binary64`
28×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
21×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow-prod-up_binary64` `frac-add_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`
3×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
2×	`sub-neg_binary64` `pow-sqr_binary64` `pow2_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 102

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))

series37.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
6.0ms	(.f64 (.f64 a a) (+.f64 1 a))
10.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify48.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5033	1313

prune140.0ms

Filtered

73 candidates to 114 candidates (-56.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	114	2	116

Merged error: 0.0b

Counts

116 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.2b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
24.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64` `cbrt-prod_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-unpow_binary64`
2×	`sub-neg_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

series71.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(.f64 (.f64 a a) (+.f64 1 a))
48.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4916	943
1	4916	943

prune89.0ms

Filtered

58 candidates to 91 candidates (-56.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
21.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
25.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `sqr-pow_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `pow1/3_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `unpow2_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4)
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))

series78.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4)
7.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
22.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
27.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5008	1019

prune101.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Merged error: 0b

Counts

86 → 3

regimes142.0ms

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	78	39
1	78	39

end0.0ms

sample689.0ms

Algorithm

intervals

Results

551.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze148.0ms

sample25.0ms

simplify51.0ms

prune6.0ms

localize17.0ms

rewrite43.0ms

series37.0ms

simplify50.0ms

prune118.0ms

localize22.0ms

rewrite44.0ms

series37.0ms

simplify48.0ms

prune140.0ms

localize19.0ms

rewrite30.0ms

series71.0ms

simplify54.0ms

prune89.0ms

localize23.0ms

rewrite26.0ms

series78.0ms

simplify49.0ms

prune101.0ms

regimes142.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample689.0ms

Profiling