Details

analyze287.0ms

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

sample17.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

prune7.0ms

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
6×	`sum-log_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

1 → 14

Calls

1 calls:

11.0ms

(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(+.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 z z)) (*.f64 z z)) (*.f64 z z))

simplify63.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4853	204
1	4853	204

prune23.0ms

Filtered

11 candidates to 17 candidates (-54.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.0b

Counts

19 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 z z) 3))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))))
3.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
3.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
3.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 z z) 3))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 z z) 3))) (cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))))
39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
41.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4918	1657
1	4918	1657

prune97.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

3.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
3.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
3.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
3.5b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

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

series170.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
40.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
52.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

simplify56.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5058	964

prune95.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z z) 3)
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 z z) 3))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))))
3.0b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
3.0b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
26×	`pow1_binary64`
24×	`sqrt-prod_binary64`
16×	`sqrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`associate-r_binary64`
8×	`flip3-+_binary64` `swap-sqr_binary64` `flip-+_binary64`
7×	`associate-l_binary64`
6×	`pow-prod-down_binary64`
5×	`pow-prod-up_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
3×	`pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 106

Calls

4 calls:

6.0ms	(.f64 (.f64 z z) 3)
15.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 z z) 3))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
5.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 (.f64 z z) 3)
13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) (.f64 (.f64 z z) 3))) (sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3))))
24.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))
24.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 (*.f64 z z) 3)))

simplify62.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4932	1350
1	4932	1350

prune59.0ms

Filtered

66 candidates to 118 candidates (-78.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	114	4	118
Fresh	4	1	5
Picked	1	0	1
Done	1	2	3
Total	120	7	127

Merged error: 0.0b

Counts

127 → 7

regimes251.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	12	15
1	12	15

end0.0ms

sample648.0ms

Algorithm

intervals

Results

456.0ms	8000×	body	80	valid
14.0ms	473×	body	80	invalid

Details

analyze287.0ms

sample17.0ms

simplify6.0ms

prune7.0ms

localize8.0ms

rewrite11.0ms

series14.0ms

simplify63.0ms

prune23.0ms

localize11.0ms

rewrite28.0ms

series171.0ms

simplify52.0ms

prune97.0ms

localize17.0ms

rewrite20.0ms

series170.0ms

simplify56.0ms

prune95.0ms

localize9.0ms

rewrite34.0ms

series65.0ms

simplify62.0ms

prune59.0ms

regimes251.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample648.0ms

Profiling