Details

analyze180.0ms

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample21.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid
0.0ms	4×	body	80	nan

simplify137.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune6.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1.0 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
4×	`log-pow_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `associate-l_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

6.0ms	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))
7.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))
10.0ms	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))
11.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))
15.0ms	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5055	687

prune74.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 1.0 z))
0.0b	(+.f64 (.f64 x 0.5) (+.f64 (.f64 y (-.f64 1.0 z)) (*.f64 y (log.f64 z))))
0.1b	(+.f64 (.f64 y (-.f64 1.0 z)) (.f64 y (log.f64 z)))
0.2b	(*.f64 y (log.f64 z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
9×	`pow1_binary64` `associate-r_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`associate-+r+_binary64`
6×	`associate-l_binary64`
4×	`sub-neg_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 82

Calls

4 calls:

7.0ms	(*.f64 y (-.f64 1.0 z))
10.0ms	(+.f64 (.f64 x 0.5) (+.f64 (.f64 y (-.f64 1.0 z)) (*.f64 y (log.f64 z))))
9.0ms	(+.f64 (.f64 y (-.f64 1.0 z)) (.f64 y (log.f64 z)))
5.0ms	(*.f64 y (log.f64 z))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 y (-.f64 1.0 z))
16.0ms	(+.f64 (.f64 x 0.5) (+.f64 (.f64 y (-.f64 1.0 z)) (*.f64 y (log.f64 z))))
16.0ms	(+.f64 (.f64 y (-.f64 1.0 z)) (.f64 y (log.f64 z)))
10.0ms	(*.f64 y (log.f64 z))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4942	841
1	4942	841

prune286.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
0.3b	(*.f64 y (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

10.0ms	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
5.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series101.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
22.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
18.0ms	(cbrt.f64 z)
21.0ms	(cbrt.f64 z)

simplify41.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5719	683

prune92.0ms

Filtered

66 candidates to 88 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	5	93

Merged error: 0.0b

Counts

93 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1.0 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1.0 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1.0 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1.0 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series120.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1.0 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
46.0ms	(+.f64 (+.f64 (-.f64 1.0 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
17.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4955	636
1	4955	636

prune74.0ms

Filtered

65 candidates to 81 candidates (-24.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

regimes254.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	14
1	27	14

end0.0ms

sample562.0ms

Algorithm

intervals

Results

369.0ms	8000×	body	80	valid
14.0ms	321×	body	80	invalid
2.0ms	64×	body	80	nan

Details

analyze180.0ms

sample21.0ms

simplify137.0ms

prune6.0ms

localize9.0ms

rewrite26.0ms

series42.0ms

simplify54.0ms

prune74.0ms

localize10.0ms

rewrite32.0ms

series49.0ms

simplify58.0ms

prune286.0ms

localize14.0ms

rewrite20.0ms

series101.0ms

simplify41.0ms

prune92.0ms

localize15.0ms

rewrite29.0ms

series120.0ms

simplify43.0ms

prune74.0ms

regimes254.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample562.0ms

Profiling