Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample33.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	123×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune5.0ms

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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	(+.f64 (.f64 x y) (.f64 z t))

series38.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
16.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5019	369

prune32.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
1.9b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.9b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.9b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite26.0ms

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:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (.f64 z t))) (cbrt.f64 (+.f64 (.f64 x y) (*.f64 z t))))
39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
41.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5180	1430

prune90.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

1.3b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.3b	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
1.9b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`sqrt-div_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `cbrt-prod_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

series115.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
24.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
27.0ms	(sqrt.f64 (+.f64 (.f64 x y) (.f64 z t)))
39.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5137	865

prune69.0ms

Filtered

60 candidates to 70 candidates (-16.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

regimes813.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms

sample873.0ms

Algorithm

intervals

Results

325.0ms	8000×	body	80	valid
153.0ms	3953×	body	80	invalid

Details

analyze1.2s

sample33.0ms

simplify6.0ms

prune5.0ms

localize10.0ms

rewrite12.0ms

series38.0ms

simplify52.0ms

prune32.0ms

localize16.0ms

rewrite26.0ms

series173.0ms

simplify45.0ms

prune90.0ms

localize20.0ms

rewrite18.0ms

series115.0ms

simplify44.0ms

prune69.0ms

regimes813.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample873.0ms

Profiling