Details

analyze550.0ms

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

6.0ms	172×	body	80	valid
4.0ms	27×	body	1280	valid
3.0ms	27×	body	640	valid
2.0ms	11×	body	2560	valid
2.0ms	47×	body	80	invalid
1.0ms	10×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	8×	body	160	invalid
0.0ms	3×	body	640	invalid

simplify214.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (204.0ms)

Iter	Nodes	Cost
0	5585	7

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

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))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify136.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4930	254
1	4930	254

prune12.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Merged error: 0b

Counts

29 → 3

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)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5222	170

prune10.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0b

Counts

19 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x z))
0.0b	(sqrt.f64 (-.f64 x z))
0.1b	(*.f64 y (sqrt.f64 (-.f64 x z)))
0.2b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
18×	`sqrt-div_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt.f64 (-.f64 x z))
3.0ms	(sqrt.f64 (-.f64 x z))
7.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
14.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt.f64 (-.f64 x z))
39.0ms	(sqrt.f64 (-.f64 x z))
66.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
30.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5195	1453

prune44.0ms

Filtered

66 candidates to 103 candidates (-56.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	103	3	106

Merged error: 0b

Counts

106 → 3

regimes23.0ms

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	17	7
1	17	7

end0.0ms

sample830.0ms

Algorithm

intervals

Results

197.0ms	5719×	body	80	valid
137.0ms	879×	body	1280	valid
81.0ms	618×	body	640	valid
43.0ms	1255×	body	80	invalid
40.0ms	208×	body	2560	valid
37.0ms	378×	body	320	valid
28.0ms	214×	body	640	invalid
22.0ms	349×	body	160	invalid
13.0ms	144×	body	320	invalid
12.0ms	198×	body	160	valid
10.0ms	67×	body	1280	invalid

Details

analyze550.0ms

sample31.0ms

simplify214.0ms

prune4.0ms

localize4.0ms

rewrite7.0ms

series35.0ms

simplify136.0ms

prune12.0ms

localize6.0ms

rewrite4.0ms

series33.0ms

simplify90.0ms

prune10.0ms

localize6.0ms

rewrite31.0ms

series170.0ms

simplify56.0ms

prune44.0ms

regimes23.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample830.0ms

Profiling