Details

analyze147.0ms

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

sample34.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4995	46
1	4995	46

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: 0.2b

Counts

2 → 1

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.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))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.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)
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
33.0ms	(.f64 (.f64 a a) (+.f64 1 a))
29.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
37.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

simplify78.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5339	1820

prune334.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.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))
0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.9b	(.f64 (.f64 b b) (*.f64 a a))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

42×	`pow1_binary64`
32×	`associate-*r/_binary64`
26×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow-prod-down_binary64` `frac-add_binary64`
14×	`flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
13×	`add-log-exp_binary64`
8×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64` `sum-log_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-up_binary64` `pow-plus_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `pow-sqr_binary64` `associate-+r+_binary64` `pow2_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

17.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.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))

series180.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
32.0ms	(.f64 (.f64 a a) (+.f64 1 a))
34.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
36.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify112.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4967	4885
1	4967	4885

prune440.0ms

Filtered

74 candidates to 116 candidates (-56.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Merged error: 0b

Counts

120 → 4

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
15.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
15.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
15.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(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)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series298.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
88.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
90.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
89.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

simplify65.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4901	1568
1	4901	1568

prune332.0ms

Filtered

61 candidates to 83 candidates (-36.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0b

Counts

87 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
4.0b	(exp.f64 (log.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)))
18.3b	(log.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
10×	`pow1_binary64`
9×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
8×	`exp-sum_binary64`
4×	`add-log-exp_binary64` `exp-prod_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `unpow2_binary64` `rem-log-exp_binary64` `sqr-pow_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `sub-neg_binary64` `associate-*r/_binary64` `log-pow_binary64` `pow-exp_binary64`
1×	`flip3--_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(exp.f64 (log.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)))
9.0ms	(log.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series165.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
32.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
35.0ms	(exp.f64 (log.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)))
66.0ms	(log.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

simplify82.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4944	1524
1	4944	1524

prune286.0ms

Filtered

58 candidates to 92 candidates (-58.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	92	4	96

Merged error: 0b

Counts

96 → 4

regimes444.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	79	58
1	79	58

end0.0ms

sample776.0ms

Algorithm

intervals

Results

587.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze147.0ms

sample34.0ms

simplify72.0ms

prune13.0ms

localize28.0ms

rewrite35.0ms

series186.0ms

simplify78.0ms

prune334.0ms

localize44.0ms

rewrite48.0ms

series180.0ms

simplify112.0ms

prune440.0ms

localize35.0ms

rewrite29.0ms

series298.0ms

simplify65.0ms

prune332.0ms

localize33.0ms

rewrite34.0ms

series165.0ms

simplify82.0ms

prune286.0ms

regimes444.0ms

bsearch0.0ms

simplify9.0ms

end0.0ms

sample776.0ms

Profiling