Details

analyze244.0ms

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

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4947	12
1	4947	12

prune7.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite20.0ms

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 1/2) (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series38.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
14.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
14.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4947	732
1	4947	732

prune88.0ms

Filtered

50 candidates to 69 candidates (-38.0%)

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))
0.1b	(-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.2b	(*.f64 (+.f64 y 1/2) (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` `associate-+r-_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

6.0ms	(+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))
4.0ms	(-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series48.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))
23.0ms	(-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))
14.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5120	730

prune76.0ms

Filtered

49 candidates to 69 candidates (-40.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
0.3b	(-.f64 (-.f64 y (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y))))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`add-cube-cbrt_binary64`
12×	`associate--r+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-*l/_binary64`
5×	`associate-r_binary64`
4×	`associate-l_binary64` `frac-sub_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `diff-log_binary64` `pow1/3_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `log-pow_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
8.0ms	(-.f64 (-.f64 y (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y))))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series170.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y)))
90.0ms	(-.f64 (-.f64 y (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y))))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
19.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4968	1188
1	4968	1188

prune132.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (pow.f64 y 1/3))))
0.3b	(-.f64 (-.f64 y (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (pow.f64 y 1/3))))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.7b	(cbrt.f64 y)
5.0b	(pow.f64 y 1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod_binary64`
34×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
22×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`unpow-prod-down_binary64`
12×	`associate--r+_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`associate-*l/_binary64`
5×	`sqr-pow_binary64`
4×	`associate-l_binary64` `frac-sub_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `pow-unpow_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64`
1×	`pow-to-exp_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `pow1/3_binary64` `pow-pow_binary64` `pow-exp_binary64` `unpow1/3_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

11.0ms	(.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (pow.f64 y 1/3))))
9.0ms	(-.f64 (-.f64 y (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (pow.f64 y 1/3))))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
3.0ms	(pow.f64 y 1/3)

series186.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (pow.f64 y 1/3))))
112.0ms	(-.f64 (-.f64 y (.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (pow.f64 y 1/3))))) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
14.0ms	(pow.f64 y 1/3)

simplify73.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4972	1498
1	4972	1498

prune108.0ms

Filtered

76 candidates to 120 candidates (-57.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	120	7	127

Merged error: 0b

Counts

127 → 7

regimes181.0ms

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

sample544.0ms

Algorithm

intervals

Results

366.0ms	7998×	body	80	valid
1.0ms	33×	body	80	invalid
0.0ms	2×	body	640	valid

Details

analyze244.0ms

sample21.0ms

simplify147.0ms

prune7.0ms

localize10.0ms

rewrite20.0ms

series38.0ms

simplify49.0ms

prune88.0ms

localize12.0ms

rewrite19.0ms

series48.0ms

simplify46.0ms

prune76.0ms

localize14.0ms

rewrite22.0ms

series170.0ms

simplify50.0ms

prune132.0ms

localize23.0ms

rewrite31.0ms

series186.0ms

simplify73.0ms

prune108.0ms

regimes181.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample544.0ms

Profiling