Details

analyze13.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify510.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5496	6

prune4.0ms

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: 31.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 2.0 (pow.f64 x 2.0))
30.7b	(sqrt.f64 (*.f64 2.0 (pow.f64 x 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64` `add-exp-log_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(*.f64 2.0 (pow.f64 x 2.0))
5.0ms	(sqrt.f64 (*.f64 2.0 (pow.f64 x 2.0)))

series134.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(*.f64 2.0 (pow.f64 x 2.0))
71.0ms	(sqrt.f64 (*.f64 2.0 (pow.f64 x 2.0)))

simplify56.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4912	287
1	4912	287

prune58.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 12.0b

Counts

42 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2.0) (pow.f64 (pow.f64 x 1.0) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
18×	`unpow-prod-down_binary64`
11×	`associate-r_binary64`
10×	`unswap-sqr_binary64`
9×	`add-exp-log_binary64`
8×	`sqrt-prod_binary64`
6×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqr-pow_binary64` `associate-l*_binary64`
5×	`prod-exp_binary64`
4×	`pow-exp_binary64`
3×	`add-cbrt-cube_binary64`
2×	`pow-to-exp_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `*-commutative_binary64`

Counts

1 → 41

Calls

1 calls:

9.0ms

(*.f64 (sqrt.f64 2.0) (pow.f64 (pow.f64 x 1.0) 1.0))

series65.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(*.f64 (sqrt.f64 2.0) (pow.f64 (pow.f64 x 1.0) 1.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4943	508
1	4943	508

prune59.0ms

Filtered

25 candidates to 44 candidates (-76.0%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	37	12	49

Merged error: 11.8b

Counts

49 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2.0)))
0.3b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2.0))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log_binary64`
33×	`prod-exp_binary64`
32×	`add-sqr-sqrt_binary64`
22×	`unpow-prod-down_binary64`
16×	`cbrt-prod_binary64`
15×	`unswap-sqr_binary64`
12×	`associate-l_binary64` `pow-exp_binary64`
10×	`associate-r_binary64`
9×	`cbrt-unprod_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqr-pow_binary64` `sqrt-prod_binary64`
7×	`pow1_binary64`
6×	`pow-to-exp_binary64`
3×	`pow-prod-down_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 77

Calls

2 calls:

9.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2.0)))
16.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2.0))))

series142.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2.0)))
61.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5475	982

prune90.0ms

Filtered

44 candidates to 83 candidates (-88.6%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	83	12	95

Merged error: 11.8b

Counts

95 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (sqrt.f64 (sqrt.f64 2.0)))
0.3b	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (sqrt.f64 (sqrt.f64 2.0))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
33×	`sqrt-prod_binary64`
25×	`add-exp-log_binary64`
22×	`unpow-prod-down_binary64`
20×	`associate-l_binary64`
16×	`prod-exp_binary64`
15×	`unswap-sqr_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-r_binary64`
9×	`add-cbrt-cube_binary64`
8×	`sqr-pow_binary64` `pow-exp_binary64`
4×	`pow-to-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64`

Counts

2 → 76

Calls

2 calls:

12.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (sqrt.f64 (sqrt.f64 2.0)))
12.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (sqrt.f64 (sqrt.f64 2.0))))

series126.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (sqrt.f64 (sqrt.f64 2.0)))
61.0ms	(.f64 (sqrt.f64 (sqrt.f64 2.0)) (.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (sqrt.f64 (sqrt.f64 2.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4958	998
1	4958	998

prune66.0ms

Filtered

44 candidates to 82 candidates (-86.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	3	5	8
Picked	0	1	1
Done	1	2	3
Total	83	11	94

Merged error: 11.8b

Counts

94 → 11

regimes302.0ms

Accuracy

98.5% (0.2b remaining)

Error of 14.9b against oracle of 14.6b and baseline of 30.6b

bsearch19.0ms

Steps

Iters	Range		Point
11	-5.334644425987182e-292	6.177800158714282e-304	3.8265285002463e-311

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	29
1	21	29

end0.0ms

sample415.0ms

Algorithm

intervals

Results

309.0ms

8000×

body

valid

Details

analyze13.0ms

sample18.0ms

simplify510.0ms

prune4.0ms

localize7.0ms

rewrite22.0ms

series134.0ms

simplify56.0ms

prune58.0ms

localize6.0ms

rewrite11.0ms

series65.0ms

simplify68.0ms

prune59.0ms

localize9.0ms

rewrite29.0ms

series142.0ms

simplify53.0ms

prune90.0ms

localize8.0ms

rewrite27.0ms

series126.0ms

simplify40.0ms

prune66.0ms

regimes302.0ms

bsearch19.0ms

simplify2.0ms

end0.0ms

sample415.0ms

Profiling