Details

analyze246.0ms

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
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample19.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify140.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4964	12
1	4964	12

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

4.0ms	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y)
7.0ms	(*.f64 (+.f64 y 0.5) (log.f64 y))

series42.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y)))
14.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 0.5) (log.f64 y))) y)
17.0ms	(*.f64 (+.f64 y 0.5) (log.f64 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5129	737

prune80.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(+.f64 (.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod_binary64`
54×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
36×	`cbrt-prod_binary64`
29×	`*-un-lft-identity_binary64`
27×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-+l+_binary64`
12×	`associate-+r+_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`distribute-lft-out_binary64` `pow1/3_binary64`
1×	`associate-r_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 119

Calls

4 calls:

9.0ms	(.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (cbrt.f64 y))))
14.0ms	(+.f64 (.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series195.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (cbrt.f64 y))))
98.0ms	(+.f64 (.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
20.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify68.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	1498
1	4947	1498

prune146.0ms

Filtered

96 candidates to 131 candidates (-36.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	132	6	138

Merged error: 0b

Counts

138 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (pow.f64 y 2/3))
6.1b	(pow.f64 y 2/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (pow.f64 y 2/3))
3.0ms	(pow.f64 y 2/3)

series80.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt.f64 (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
20.0ms	(cbrt.f64 (pow.f64 y 2/3))
17.0ms	(pow.f64 y 2/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5203	328

prune88.0ms

Filtered

53 candidates to 69 candidates (-30.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Merged error: 0b

Counts

75 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (pow.f64 y 1/3))))
0.3b	(+.f64 (.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

68×	`log-prod_binary64`
62×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
30×	`*-un-lft-identity_binary64`
28×	`add-cube-cbrt_binary64` `associate-+l+_binary64` `add-sqr-sqrt_binary64`
27×	`unpow-prod-down_binary64`
12×	`associate-+r+_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `associate-*l/_binary64`
9×	`sqr-pow_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`distribute-lft-out_binary64`
1×	`pow-to-exp_binary64` `associate-r_binary64` `pow1/3_binary64` `pow-pow_binary64` `+-commutative_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 134

Calls

4 calls:

10.0ms	(.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (pow.f64 y 1/3))))
17.0ms	(+.f64 (.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
3.0ms	(pow.f64 y 1/3)

series219.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (pow.f64 y 1/3))))
133.0ms	(+.f64 (.f64 (+.f64 y 0.5) (.f64 2 (log.f64 (pow.f64 y 1/3)))) (*.f64 (+.f64 y 0.5) (log.f64 (cbrt.f64 y))))
17.0ms	(cbrt.f64 y)
17.0ms	(pow.f64 y 1/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5228	1577

prune141.0ms

Filtered

102 candidates to 146 candidates (-43.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	146	6	152

Merged error: 0b

Counts

152 → 6

regimes269.0ms

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	63	12
1	63	12

end0.0ms

sample520.0ms

Algorithm

intervals

Results

349.0ms	7999×	body	80	valid
2.0ms	46×	body	80	invalid
0.0ms	1×	body	640	valid

Details

analyze246.0ms

sample19.0ms

simplify140.0ms

prune6.0ms

localize9.0ms

rewrite19.0ms

series42.0ms

simplify44.0ms

prune80.0ms

localize16.0ms

rewrite32.0ms

series195.0ms

simplify68.0ms

prune146.0ms

localize28.0ms

rewrite9.0ms

series80.0ms

simplify57.0ms

prune88.0ms

localize22.0ms

rewrite37.0ms

series219.0ms

simplify42.0ms

prune141.0ms

regimes269.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample520.0ms

Profiling