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

sample22.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify512.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4811	6
1	4811	6

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 31.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (pow.f64 x 2.0) 2)
30.7b	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64` `associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-r_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 (pow.f64 x 2.0) 2)
15.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

series137.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(*.f64 (pow.f64 x 2.0) 2)
73.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

simplify68.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4935	288
1	4935	288

prune55.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

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) (pow.f64 (pow.f64 x 1.0) 1.0))

rewrite10.0ms

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) (pow.f64 (pow.f64 x 1.0) 1.0))

series65.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(*.f64 (sqrt.f64 2) (pow.f64 (pow.f64 x 1.0) 1.0))

simplify38.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4969	508
1	4969	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)))
0.3b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2))))

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:

10.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2)))
16.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2))))

series145.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2)))
65.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (pow.f64 x 1.0) 1.0) (cbrt.f64 (sqrt.f64 2))))

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5473	988

prune90.0ms

Filtered

44 candidates to 83 candidates (-88.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	4	5	9
Picked	0	1	1
Done	0	2	2
Total	84	11	95

Merged error: 11.8b

Counts

95 → 11

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0))
0.3b	(.f64 (.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0)) (cbrt.f64 (sqrt.f64 2)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
42×	`unpow-prod-down_binary64`
38×	`add-sqr-sqrt_binary64`
34×	`pow-exp_binary64`
22×	`pow-to-exp_binary64`
20×	`associate-r_binary64` `unswap-sqr_binary64`
16×	`sqr-pow_binary64`
11×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `sqrt-prod_binary64`
7×	`add-cbrt-cube_binary64`
6×	`cbrt-prod_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64`

Counts

2 → 102

Calls

2 calls:

11.0ms	(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0))
14.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0)) (cbrt.f64 (sqrt.f64 2)))

series153.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0))
62.0ms	(.f64 (.f64 (pow.f64 (sqrt.f64 2) 2/3) (pow.f64 (pow.f64 x 1.0) 1.0)) (cbrt.f64 (sqrt.f64 2)))

simplify69.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4921	1374
1	4921	1374

prune86.0ms

Filtered

55 candidates to 108 candidates (-96.4%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	106	13	119

Merged error: 11.8b

Counts

119 → 13

regimes155.0ms

Accuracy

98.5% (0.2b remaining)

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

bsearch20.0ms

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	20	27
1	20	27

end0.0ms

sample529.0ms

Algorithm

intervals

Results

424.0ms

8000×

body

valid

Details

analyze13.0ms

sample22.0ms

simplify512.0ms

prune8.0ms

localize6.0ms

rewrite22.0ms

series137.0ms

simplify68.0ms

prune55.0ms

localize6.0ms

rewrite10.0ms

series65.0ms

simplify38.0ms

prune59.0ms

localize9.0ms

rewrite29.0ms

series145.0ms

simplify53.0ms

prune90.0ms

localize13.0ms

rewrite29.0ms

series153.0ms

simplify69.0ms

prune86.0ms

regimes155.0ms

bsearch20.0ms

simplify2.0ms

end0.0ms

sample529.0ms

Profiling