Details

analyze151.0ms

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

sample43.0ms

Algorithm

intervals

Results

29.0ms

256×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4906	31
1	4906	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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1.0 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
0.6b	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))

rewrite38.0ms

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` `pow-pow_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a)))))
8.0ms	(.f64 (.f64 a a) (+.f64 1.0 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
8.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(.f64 4.0 (+.f64 (.f64 (.f64 a a) (+.f64 1.0 a)) (.f64 (.f64 b b) (-.f64 1.0 (.f64 3.0 a)))))
10.0ms	(.f64 (.f64 a a) (+.f64 1.0 a))
25.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
9.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4989	1428
1	4989	1428

prune148.0ms

Filtered

71 candidates to 102 candidates (-43.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
18.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
18.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
18.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`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` `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 → 68

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

series139.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(.f64 (.f64 b b) (-.f64 1.0 (*.f64 3.0 a)))
42.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
42.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
44.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5203	1104

prune143.0ms

Filtered

65 candidates to 80 candidates (-23.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Merged error: 0.0b

Counts

85 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
8.4b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
18.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
18.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod_binary64`
18×	`unpow-prod-down_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`sqrt-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 66

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

series171.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
43.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
42.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
44.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5299	1270

prune188.0ms

Filtered

66 candidates to 78 candidates (-18.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

localize43.0ms

Local error

Found 4 expressions with local error:

7.9b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
8.4b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
18.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
18.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
6×	`sqrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64` `sqr-pow_binary64`
2×	`sqrt-div_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64`

Counts

4 → 63

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

series141.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
45.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 2.0))
42.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
45.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4940	1075
1	4940	1075

prune151.0ms

Filtered

64 candidates to 75 candidates (-17.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	75	8	83

Merged error: 0.0b

Counts

83 → 8

regimes298.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	31
1	61	31

end0.0ms

sample680.0ms

Algorithm

intervals

Results

535.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze151.0ms

sample43.0ms

simplify116.0ms

prune6.0ms

localize18.0ms

rewrite38.0ms

series60.0ms

simplify46.0ms

prune148.0ms

localize24.0ms

rewrite25.0ms

series139.0ms

simplify51.0ms

prune143.0ms

localize25.0ms

rewrite23.0ms

series171.0ms

simplify60.0ms

prune188.0ms

localize43.0ms

rewrite22.0ms

series141.0ms

simplify53.0ms

prune151.0ms

regimes298.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample680.0ms

Profiling