Details

analyze198.0ms

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

sample24.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid
0.0ms	6×	body	80	nan

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune3.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:

9.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))
11.0ms	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))
16.0ms	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))
16.0ms	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5055	687

prune77.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 1.0 z))
0.1b	(+.f64 (+.f64 (.f64 y (-.f64 1.0 z)) (.f64 x 0.5)) (*.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 1.0 z))
12.0ms	(+.f64 (+.f64 (.f64 y (-.f64 1.0 z)) (.f64 x 0.5)) (*.f64 y (log.f64 z)))
7.0ms	(*.f64 y (log.f64 z))

series28.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(*.f64 y (-.f64 1.0 z))
15.0ms	(+.f64 (+.f64 (.f64 y (-.f64 1.0 z)) (.f64 x 0.5)) (*.f64 y (log.f64 z)))
8.0ms	(*.f64 y (log.f64 z))

simplify56.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4947	684
1	4947	684

prune71.0ms

Filtered

51 candidates to 77 candidates (-51.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
0.2b	(*.f64 y (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite21.0ms

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:

11.0ms	(.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)

series96.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
23.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
17.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

simplify37.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5719	683

prune84.0ms

Filtered

66 candidates to 88 candidates (-33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Merged error: 0b

Counts

92 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

8.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))
14.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 (-.f64 1.0 z) (log.f64 z)) (sqrt.f64 y)))
12.0ms	(*.f64 (+.f64 (-.f64 1.0 z) (log.f64 z)) (sqrt.f64 y))

series40.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))
14.0ms	(.f64 (sqrt.f64 y) (.f64 (+.f64 (-.f64 1.0 z) (log.f64 z)) (sqrt.f64 y)))
15.0ms	(*.f64 (+.f64 (-.f64 1.0 z) (log.f64 z)) (sqrt.f64 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5062	810

prune60.0ms

Filtered

52 candidates to 81 candidates (-55.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	81	4	85

Merged error: 0b

Counts

85 → 4

regimes364.0ms

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	33	21
1	33	21

end0.0ms

sample558.0ms

Algorithm

intervals

Results

366.0ms	8000×	body	80	valid
16.0ms	300×	body	80	invalid
2.0ms	65×	body	80	nan

Details

analyze198.0ms

sample24.0ms

simplify139.0ms

prune3.0ms

localize10.0ms

rewrite28.0ms

series45.0ms

simplify48.0ms

prune77.0ms

localize10.0ms

rewrite28.0ms

series28.0ms

simplify56.0ms

prune71.0ms

localize14.0ms

rewrite21.0ms

series96.0ms

simplify37.0ms

prune84.0ms

localize11.0ms

rewrite36.0ms

series40.0ms

simplify52.0ms

prune60.0ms

regimes364.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample558.0ms

Profiling