Details

analyze302.0ms

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
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	13
1	40	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
0.2b	(.f64 z (.f64 z 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
5.0ms	(.f64 z (.f64 z 3))

series122.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(+.f64 (.f64 x y) (.f64 z (*.f64 z 3)))
38.0ms	(.f64 z (.f64 z 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5099	419

prune27.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 z 3))
0.3b	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
19.5b	(sqrt.f64 (.f64 z (.f64 z 3)))
19.5b	(sqrt.f64 (.f64 z (.f64 z 3)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1_binary64`
80×	`pow-prod-down_binary64`
66×	`sqrt-pow1_binary64`
17×	`pow-prod-up_binary64`
14×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `pow-sqr_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
6×	`sqrt-prod_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `unswap-sqr_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

5.0ms	(.f64 z (.f64 z 3))
14.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 z (.f64 z 3))
83.0ms	(.f64 (sqrt.f64 (.f64 z (.f64 z 3))) (sqrt.f64 (.f64 z (*.f64 z 3))))
49.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))
49.0ms	(sqrt.f64 (.f64 z (.f64 z 3)))

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5001	737

prune65.0ms

Filtered

52 candidates to 120 candidates (-130.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	120	6	126

Merged error: 0.0b

Counts

126 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
20.3b	(cbrt.f64 (.f64 z (.f64 z 3)))
20.3b	(cbrt.f64 (.f64 z (.f64 z 3)))
20.3b	(cbrt.f64 (.f64 z (.f64 z 3)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
5.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))

series909.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(.f64 (cbrt.f64 (.f64 z (.f64 z 3))) (cbrt.f64 (.f64 z (*.f64 z 3))))
221.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
208.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
218.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))

simplify55.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4953	733
1	4953	733

prune75.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	69	7	76

Merged error: 0b

Counts

76 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 3))
20.3b	(cbrt.f64 (.f64 z (.f64 z 3)))
20.3b	(cbrt.f64 (.f64 z (.f64 z 3)))
20.3b	(cbrt.f64 (*.f64 z z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 3))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
4.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
3.0ms	(cbrt.f64 (*.f64 z z))

series827.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 3))
208.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
226.0ms	(cbrt.f64 (.f64 z (.f64 z 3)))
166.0ms	(cbrt.f64 (*.f64 z z))

simplify71.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4949	699
1	4949	699

prune71.0ms

Filtered

49 candidates to 65 candidates (-32.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	65	7	72

Merged error: 0b

Counts

72 → 7

regimes70.0ms

Accuracy

0% (0.1b 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 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample430.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	128	valid
16.0ms	455×	body	128	invalid

Details

analyze302.0ms

sample18.0ms

simplify9.0ms

prune4.0ms

localize6.0ms

rewrite12.0ms

series122.0ms

simplify58.0ms

prune27.0ms

localize9.0ms

rewrite46.0ms

series215.0ms

simplify77.0ms

prune65.0ms

localize10.0ms

rewrite25.0ms

series909.0ms

simplify55.0ms

prune75.0ms

localize22.0ms

rewrite22.0ms

series827.0ms

simplify71.0ms

prune71.0ms

regimes70.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample430.0ms

Profiling