Details

analyze132.0ms

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%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample26.0ms

Algorithm

intervals

Results

16.0ms

256×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5054	29

prune5.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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`
9×	`associate-r_binary64`
8×	`add-cube-cbrt_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` `pow-pow_binary64` `sqr-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 79

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a)))))
9.0ms	(.f64 (.f64 a a) (-.f64 1.0 a))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
8.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))

series70.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 a a) (-.f64 1.0 a)) (.f64 (*.f64 b b) (+.f64 3.0 a)))))
7.0ms	(.f64 (.f64 a a) (-.f64 1.0 a))
28.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))

simplify28.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5438	1191

prune120.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
5×	`associate-r_binary64`
4×	`sub-neg_binary64` `associate-l_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unswap-sqr_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)) 2.0) (.f64 4.0 (+.f64 (.f64 a (.f64 a (-.f64 1.0 a))) (.f64 (*.f64 b b) (+.f64 3.0 a)))))
8.0ms	(.f64 a (.f64 a (-.f64 1.0 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
9.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))

series72.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0) (.f64 4.0 (+.f64 (.f64 a (.f64 a (-.f64 1.0 a))) (.f64 (*.f64 b b) (+.f64 3.0 a)))))
7.0ms	(.f64 a (.f64 a (-.f64 1.0 a)))
28.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2.0)
7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))

simplify29.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5525	1182

prune104.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 b b) (+.f64 3.0 a))
1.0b	(.f64 (.f64 b b) (+.f64 3.0 a))
9.1b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
9.1b	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`associate-r_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `sqrt-prod_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-*r/_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
33.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))
31.0ms	(sqrt.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0) (.f64 4.0 (+.f64 (.f64 (.f64 b b) (+.f64 3.0 a)) (.f64 (*.f64 a a) (-.f64 1.0 a))))))

simplify54.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4995	1624
1	4995	1624

prune150.0ms

Filtered

64 candidates to 90 candidates (-40.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(.f64 (.f64 b b) (+.f64 3.0 a))
19.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
19.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))
19.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `sqr-pow_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (+.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))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

series135.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(.f64 (.f64 b b) (+.f64 3.0 a))
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))
42.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5000	1049

prune120.0ms

Filtered

65 candidates to 81 candidates (-24.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Merged error: 0.0b

Counts

88 → 7

regimes152.0ms

Accuracy

0% (0.2b 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	45	59
1	45	59

end0.0ms

sample646.0ms

Algorithm

intervals

Results

509.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze132.0ms

sample26.0ms

simplify88.0ms

prune5.0ms

localize15.0ms

rewrite34.0ms

series70.0ms

simplify28.0ms

prune120.0ms

localize16.0ms

rewrite33.0ms

series72.0ms

simplify29.0ms

prune104.0ms

localize22.0ms

rewrite33.0ms

series77.0ms

simplify54.0ms

prune150.0ms

localize20.0ms

rewrite28.0ms

series135.0ms

simplify63.0ms

prune120.0ms

regimes152.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample646.0ms

Profiling