Details

analyze183.0ms

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

12.0ms	256×	body	128	valid
1.0ms	11×	body	128	invalid
0.0ms	1×	body	128	nan

simplify303.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (296.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune1.0ms

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 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite32.0ms

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:

7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
12.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series325.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
118.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
117.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5077	1039

prune59.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 1 z))
0.1b	(+.f64 (+.f64 (.f64 y (-.f64 1 z)) (.f64 x 1/2)) (*.f64 (log.f64 z) y))
0.3b	(*.f64 (log.f64 z) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`associate-r_binary64`
8×	`add-log-exp_binary64` `pow1_binary64`
7×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_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` `difference-of-squares_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `log-pow_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 57

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 1 z))
10.0ms	(+.f64 (+.f64 (.f64 y (-.f64 1 z)) (.f64 x 1/2)) (*.f64 (log.f64 z) y))
4.0ms	(*.f64 (log.f64 z) y)

series216.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(*.f64 y (-.f64 1 z))
88.0ms	(+.f64 (+.f64 (.f64 y (-.f64 1 z)) (.f64 x 1/2)) (*.f64 (log.f64 z) y))
80.0ms	(*.f64 (log.f64 z) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4920	826
1	4920	826

prune54.0ms

Filtered

43 candidates to 66 candidates (-53.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Merged error: 0.0b

Counts

72 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite36.0ms

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 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
14.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series888.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
238.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
141.0ms	(cbrt.f64 z)
165.0ms	(cbrt.f64 z)

simplify54.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4963	996
1	4963	996

prune79.0ms

Filtered

65 candidates to 81 candidates (-24.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	81	7	88

Merged error: 0b

Counts

88 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.7b	(cbrt.f64 (cbrt.f64 z))
0.7b	(cbrt.f64 (cbrt.f64 z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 (cbrt.f64 z))
2.0ms	(cbrt.f64 (cbrt.f64 z))

series731.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt.f64 z)
163.0ms	(cbrt.f64 z)
204.0ms	(cbrt.f64 (cbrt.f64 z))
209.0ms	(cbrt.f64 (cbrt.f64 z))

simplify38.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5002	466

prune66.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	62	7	69

Merged error: 0b

Counts

69 → 7

regimes131.0ms

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	36	41
1	36	41

end0.0ms

sample570.0ms

Algorithm

intervals

Results

374.0ms	8000×	body	128	valid
15.0ms	321×	body	128	invalid
2.0ms	60×	body	128	nan

Details

analyze183.0ms

sample21.0ms

simplify303.0ms

prune1.0ms

localize9.0ms

rewrite32.0ms

series325.0ms

simplify67.0ms

prune59.0ms

localize10.0ms

rewrite27.0ms

series216.0ms

simplify66.0ms

prune54.0ms

localize13.0ms

rewrite36.0ms

series888.0ms

simplify54.0ms

prune79.0ms

localize18.0ms

rewrite11.0ms

series731.0ms

simplify38.0ms

prune66.0ms

regimes131.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample570.0ms

Profiling