Details

analyze250.0ms

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%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
31.2%	68.6%	0.1%	8
39%	57.7%	3.3%	9
47.6%	46%	6.4%	10
58.1%	35.5%	6.4%	11
62.2%	29.1%	8.7%	12
66.2%	22.7%	11.1%	13
71.3%	17.6%	11.1%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	285	7
1	285	7

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: 3.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.2b	(.f64 x (-.f64 1.0 (.f64 y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

6.0ms

(*.f64 x (-.f64 1.0 (*.f64 y z)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(*.f64 x (-.f64 1.0 (*.f64 y z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4953	214
1	4953	214

prune49.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	8	26

Merged error: 3.2b

Counts

26 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (*.f64 y z))))
3.3b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.3b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.3b	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (*.f64 y z))))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(.f64 (cbrt.f64 (-.f64 1.0 (.f64 y z))) (cbrt.f64 (-.f64 1.0 (*.f64 y z))))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
49.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))
46.0ms	(cbrt.f64 (-.f64 1.0 (*.f64 y z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4965	1388
1	4965	1388

prune142.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 3.2b

Counts

107 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.5b	(.f64 (-.f64 1.0 (.f64 y z)) (cbrt.f64 x))
1.9b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1.0 (.f64 y z)) (cbrt.f64 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
10×	`cbrt-prod_binary64`
9×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `associate-*l/_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
6.0ms	(.f64 (-.f64 1.0 (.f64 y z)) (cbrt.f64 x))
12.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1.0 (.f64 y z)) (cbrt.f64 x)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
35.0ms	(.f64 (-.f64 1.0 (.f64 y z)) (cbrt.f64 x))
30.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (-.f64 1.0 (.f64 y z)) (cbrt.f64 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4981	600
1	4981	600

prune79.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	82	9	91

Merged error: 3.2b

Counts

91 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (sqrt.f64 (-.f64 1.0 (.f64 y z))))
0.1b	(.f64 (.f64 x (sqrt.f64 (-.f64 1.0 (.f64 y z)))) (sqrt.f64 (-.f64 1.0 (.f64 y z))))
2.2b	(sqrt.f64 (-.f64 1.0 (*.f64 y z)))
2.2b	(sqrt.f64 (-.f64 1.0 (*.f64 y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `sqrt-prod_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

6.0ms	(.f64 x (sqrt.f64 (-.f64 1.0 (.f64 y z))))
11.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 1.0 (.f64 y z)))) (sqrt.f64 (-.f64 1.0 (.f64 y z))))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 y z)))
3.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 y z)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 x (sqrt.f64 (-.f64 1.0 (.f64 y z))))
12.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 1.0 (.f64 y z)))) (sqrt.f64 (-.f64 1.0 (.f64 y z))))
16.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 y z)))
16.0ms	(sqrt.f64 (-.f64 1.0 (*.f64 y z)))

simplify36.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5011	1143

prune84.0ms

Filtered

70 candidates to 95 candidates (-35.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	95	9	104

Merged error: 3.2b

Counts

104 → 9

regimes397.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.1b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample386.0ms

Algorithm

intervals

Results

204.0ms	8000×	body	80	valid
16.0ms	548×	body	80	invalid

Details

analyze250.0ms

sample15.0ms

simplify15.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series12.0ms

simplify43.0ms

prune49.0ms

localize9.0ms

rewrite22.0ms

series200.0ms

simplify61.0ms

prune142.0ms

localize8.0ms

rewrite22.0ms

series100.0ms

simplify62.0ms

prune79.0ms

localize7.0ms

rewrite25.0ms

series65.0ms

simplify36.0ms

prune84.0ms

regimes397.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample386.0ms

Profiling