Details

analyze534.0ms

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
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

sample31.0ms

Algorithm

intervals

Results

7.0ms	189×	body	80	valid
4.0ms	27×	body	1280	valid
3.0ms	20×	body	640	valid
2.0ms	12×	body	640	invalid
2.0ms	29×	body	80	invalid
1.0ms	5×	body	2560	valid
1.0ms	10×	body	320	valid
1.0ms	5×	body	320	invalid
0.0ms	5×	body	160	valid
0.0ms	2×	body	1280	invalid
0.0ms	2×	body	160	invalid

simplify255.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

Iter	Nodes	Cost
0	6485	7

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: 0.0b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

6.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify131.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4930	254
1	4930	254

prune14.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

4.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5222	170

prune9.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Merged error: 0b

Counts

18 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
0.5b	(cbrt.f64 (-.f64 x z))
0.5b	(cbrt.f64 (-.f64 x z))
0.5b	(cbrt.f64 (-.f64 x z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_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 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
3.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))

series500.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))
112.0ms	(cbrt.f64 (-.f64 x z))
133.0ms	(cbrt.f64 (-.f64 x z))
119.0ms	(cbrt.f64 (-.f64 x z))

simplify74.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5366	1654

prune71.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms

sample887.0ms

Algorithm

intervals

Results

211.0ms	5758×	body	80	valid
132.0ms	828×	body	1280	valid
82.0ms	607×	body	640	valid
46.0ms	1234×	body	80	invalid
43.0ms	326×	body	640	invalid
42.0ms	214×	body	2560	valid
36.0ms	378×	body	320	valid
22.0ms	218×	body	320	invalid
14.0ms	215×	body	160	valid
14.0ms	87×	body	1280	invalid
12.0ms	156×	body	160	invalid

Details

analyze534.0ms

sample31.0ms

simplify255.0ms

prune7.0ms

localize4.0ms

rewrite7.0ms

series34.0ms

simplify131.0ms

prune14.0ms

localize6.0ms

rewrite4.0ms

series37.0ms

simplify89.0ms

prune9.0ms

localize8.0ms

rewrite23.0ms

series500.0ms

simplify74.0ms

prune71.0ms

regimes22.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample887.0ms

Profiling