Details

analyze590.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample29.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	54×	body	80	invalid

simplify146.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune15.0ms

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 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64_3749` `add-sqr-sqrt_binary64_3769`
5×	`add-exp-log_binary64_3748` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756` `*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
3×	`associate-l_binary64_3844` `flip-+_binary64_3809` `flip3-+_binary64_3782` `associate-r_binary64_3843`
2×	`+-commutative_binary64_3851` `associate-*l/_binary64_3846` `sum-log_binary64_3699`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `unswap-sqr_binary64_3812`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+.f64 (*.f64 x y) z)
8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series119.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 (*.f64 x y) z)
61.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
38.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5117	719

prune219.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0.0b

Counts

52 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.5b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.5b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3751`
23×	`add-sqr-sqrt_binary64_3769`
18×	`cbrt-div_binary64_3752`
15×	`*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
11×	`pow1_binary64_3730`
9×	`pow1/3_binary64_3722` `flip-+_binary64_3809` `flip3-+_binary64_3782`
6×	`add-exp-log_binary64_3748` `associate-l_binary64_3844` `associate-r_binary64_3843` `swap-sqr_binary64_3811`
4×	`add-log-exp_binary64_3749` `frac-times_binary64_3776` `unswap-sqr_binary64_3812` `add-cbrt-cube_binary64_3756`
2×	`associate-l/_binary64_3846` `pow-prod-down_binary64_3711` `pow-sqr_binary64_3817` `associate-r/_binary64_3845` `pow-prod-up_binary64_3710`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `pow-plus_binary64_3725` `prod-exp_binary64_3735` `pow2_binary64_3721`

Counts

4 → 87

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
116.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
120.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
159.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))

simplify137.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4941	1902
1	4941	1902

prune356.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3751`
23×	`add-sqr-sqrt_binary64_3769`
15×	`*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
11×	`pow1_binary64_3730`
9×	`pow1/3_binary64_3722`
6×	`add-exp-log_binary64_3748` `associate-l_binary64_3844` `associate-r_binary64_3843` `swap-sqr_binary64_3811`
4×	`add-log-exp_binary64_3749` `unswap-sqr_binary64_3812` `add-cbrt-cube_binary64_3756`
2×	`pow-prod-down_binary64_3711` `pow-sqr_binary64_3817` `pow-prod-up_binary64_3710`
1×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `pow-plus_binary64_3725` `prod-exp_binary64_3735` `pow2_binary64_3721`

Counts

4 → 73

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series360.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
86.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5309	608

prune319.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (+.f64 (.f64 x y) z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
0.4b	(.f64 (+.f64 (.f64 x y) z) (cbrt.f64 (*.f64 y y)))
0.6b	(cbrt.f64 y)
23.9b	(cbrt.f64 (*.f64 y y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_3769`
11×	`add-exp-log_binary64_3748` `pow1_binary64_3730`
10×	`associate-r_binary64_3843`
9×	`cbrt-prod_binary64_3751` `*-un-lft-identity_binary64_3784` `add-cube-cbrt_binary64_3755`
7×	`add-cbrt-cube_binary64_3756`
6×	`associate-*l/_binary64_3846`
4×	`add-log-exp_binary64_3749` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `associate-l_binary64_3844` `pow-prod-down_binary64_3711`
2×	`*-commutative_binary64_3852` `pow1/3_binary64_3722` `unswap-sqr_binary64_3812` `flip-+_binary64_3809` `flip3-+_binary64_3782`

Counts

4 → 65

Calls

4 calls:

10.0ms	(.f64 (.f64 (+.f64 (.f64 x y) z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
7.0ms	(.f64 (+.f64 (.f64 x y) z) (cbrt.f64 (*.f64 y y)))
1.0ms	(cbrt.f64 y)
4.0ms	(cbrt.f64 (*.f64 y y))

series374.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 (.f64 (+.f64 (.f64 x y) z) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
145.0ms	(.f64 (+.f64 (.f64 x y) z) (cbrt.f64 (*.f64 y y)))
87.0ms	(cbrt.f64 y)
91.0ms	(cbrt.f64 (*.f64 y y))

simplify77.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4868	1137
1	4868	1137

prune289.0ms

Filtered

64 candidates to 77 candidates (-20.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	76	8	84

Merged error: 0b

Counts

84 → 8

regimes956.0ms

Accuracy

0% (0.0b 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	13	13
1	13	13

end0.0ms

sample667.0ms

Algorithm

intervals

Results

255.0ms	8000×	body	80	valid
56.0ms	1780×	body	80	invalid

Details

analyze590.0ms

sample29.0ms

simplify146.0ms

prune15.0ms

localize10.0ms

rewrite20.0ms

series119.0ms

simplify44.0ms

prune219.0ms

localize17.0ms

rewrite28.0ms

series516.0ms

simplify137.0ms

prune356.0ms

localize16.0ms

rewrite17.0ms

series360.0ms

simplify74.0ms

prune319.0ms

localize25.0ms

rewrite24.0ms

series374.0ms

simplify77.0ms

prune289.0ms

regimes956.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample667.0ms

Profiling