Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

sample14.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune11.0ms

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64_520` `add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
3×	`cbrt-unprod_binary64_543` `associate-r_binary64_633` `pow-prod-down_binary64_501` `prod-exp_binary64_525`
2×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545` `add-sqr-sqrt_binary64_559`
1×	`associate-l_binary64_634` `*-commutative_binary64_642` `add-log-exp_binary64_539`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 3) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(*.f64 (*.f64 x 3) x)

simplify79.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5625	168

prune92.0ms

Filtered

13 candidates to 21 candidates (-61.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Merged error: 0.1b

Counts

22 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 3 x))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 3 x))) (sqrt.f64 (.f64 x (*.f64 3 x))))
18.4b	(sqrt.f64 (.f64 x (.f64 3 x)))
18.4b	(sqrt.f64 (.f64 x (.f64 3 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64_520`
80×	`pow-prod-down_binary64_501`
66×	`sqrt-pow1_binary64_555`
17×	`pow-prod-up_binary64_500`
14×	`pow1/2_binary64_510`
11×	`add-cbrt-cube_binary64_546` `add-sqr-sqrt_binary64_559` `pow-sqr_binary64_607` `add-exp-log_binary64_538`
9×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
7×	`associate-l_binary64_634`
6×	`sqrt-prod_binary64_553`
5×	`associate-r_binary64_633`
4×	`swap-sqr_binary64_601` `cbrt-unprod_binary64_543` `add-log-exp_binary64_539` `prod-exp_binary64_525`
2×	`*-commutative_binary64_642`
1×	`pow-plus_binary64_515` `rem-square-sqrt_binary64_561` `unswap-sqr_binary64_602` `pow2_binary64_511` `sqrt-unprod_binary64_557`

Counts

4 → 108

Calls

4 calls:

5.0ms	(.f64 x (.f64 3 x))
12.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 3 x))) (sqrt.f64 (.f64 x (*.f64 3 x))))
4.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))
4.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))

series117.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 x (.f64 3 x))
46.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 3 x))) (sqrt.f64 (.f64 x (*.f64 3 x))))
24.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))
26.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))

simplify104.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4910	763
1	4910	763

prune315.0ms

Filtered

59 candidates to 120 candidates (-103.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	117	9	126

Merged error: 0.0b

Counts

126 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 3 x))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 3 x))))
0.3b	(*.f64 x (sqrt.f64 3))
18.4b	(sqrt.f64 (.f64 x (.f64 3 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64_520`
16×	`add-sqr-sqrt_binary64_559`
13×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
11×	`associate-r_binary64_633`
10×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
9×	`associate-l_binary64_634`
8×	`pow-prod-down_binary64_501`
6×	`sqrt-prod_binary64_553`
5×	`cbrt-unprod_binary64_543` `prod-exp_binary64_525`
4×	`add-log-exp_binary64_539`
3×	`sqrt-pow1_binary64_555` `unswap-sqr_binary64_602` `*-commutative_binary64_642`
1×	`pow1/2_binary64_510`

Counts

4 → 71

Calls

4 calls:

5.0ms	(.f64 x (.f64 3 x))
7.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 3 x))))
5.0ms	(*.f64 x (sqrt.f64 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))

series126.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(.f64 x (.f64 3 x))
54.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 3 x))))
23.0ms	(*.f64 x (sqrt.f64 3))
28.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))

simplify104.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5467	755

prune284.0ms

Filtered

53 candidates to 83 candidates (-56.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (fabs.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3)))
0.3b	(.f64 (fabs.f64 (.f64 (.f64 x (fabs.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3)))) (sqrt.f64 (.f64 x (*.f64 3 x))))
0.4b	(*.f64 x (fabs.f64 (cbrt.f64 3)))
18.4b	(sqrt.f64 (.f64 x (.f64 3 x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64_520`
16×	`associate-r_binary64_633`
15×	`add-sqr-sqrt_binary64_559`
13×	`add-cbrt-cube_binary64_546` `add-exp-log_binary64_538`
11×	`*-un-lft-identity_binary64_574` `add-cube-cbrt_binary64_545`
8×	`sqrt-prod_binary64_553` `pow-prod-down_binary64_501`
7×	`associate-l_binary64_634`
5×	`cbrt-unprod_binary64_543` `prod-exp_binary64_525`
4×	`add-log-exp_binary64_539`
3×	`cbrt-prod_binary64_541` `sqrt-pow1_binary64_555` `*-commutative_binary64_642`
2×	`unswap-sqr_binary64_602`
1×	`pow1/2_binary64_510`

Counts

4 → 73

Calls

4 calls:

13.0ms	(.f64 (.f64 x (fabs.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3)))
7.0ms	(.f64 (fabs.f64 (.f64 (.f64 x (fabs.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3)))) (sqrt.f64 (.f64 x (*.f64 3 x))))
4.0ms	(*.f64 x (fabs.f64 (cbrt.f64 3)))
4.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(.f64 (.f64 x (fabs.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3)))
55.0ms	(.f64 (fabs.f64 (.f64 (.f64 x (fabs.f64 (cbrt.f64 3))) (sqrt.f64 (cbrt.f64 3)))) (sqrt.f64 (.f64 x (*.f64 3 x))))
17.0ms	(*.f64 x (fabs.f64 (cbrt.f64 3)))
23.0ms	(sqrt.f64 (.f64 x (.f64 3 x)))

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4959	1457
1	4959	1457

prune269.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0b

Counts

93 → 8

regimes183.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample245.0ms

Algorithm

intervals

Results

138.0ms

8000×

body

valid

Details

analyze3.0ms

sample14.0ms

simplify12.0ms

prune11.0ms

localize5.0ms

rewrite6.0ms

series22.0ms

simplify79.0ms

prune92.0ms

localize9.0ms

rewrite30.0ms

series117.0ms

simplify104.0ms

prune315.0ms

localize13.0ms

rewrite22.0ms

series126.0ms

simplify104.0ms

prune284.0ms

localize19.0ms

rewrite30.0ms

series153.0ms

simplify99.0ms

prune269.0ms

regimes183.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample245.0ms

Profiling