Details

analyze71.0ms

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample13.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
0.0b	(+.f64 (.f64 x 2) (.f64 x x))

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×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series56.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
37.0ms	(+.f64 (.f64 x 2) (.f64 x x))

simplify70.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4995	439
1	4995	439

prune19.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))

rewrite40.0ms

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:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))
149.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
153.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
155.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))

simplify114.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4935	2736
1	4935	2736

prune137.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (.f64 x (+.f64 x 2)))) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))
0.0b	(*.f64 x (+.f64 x 2))
0.2b	(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1_binary64`
28×	`sqrt-pow1_binary64`
22×	`pow-prod-down_binary64`
18×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
12×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
10×	`pow1/2_binary64` `pow-prod-up_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `pow-sqr_binary64`
4×	`swap-sqr_binary64` `sqrt-prod_binary64` `frac-times_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-*l/_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64`

Counts

4 → 114

Calls

4 calls:

15.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (.f64 x (+.f64 x 2)))) (.f64 y y))
9.0ms	(*.f64 x (+.f64 x 2))
7.0ms	(*.f64 x (+.f64 x 2))
15.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))

series130.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (.f64 x (+.f64 x 2)))) (.f64 y y))
36.0ms	(*.f64 x (+.f64 x 2))
28.0ms	(*.f64 x (+.f64 x 2))
40.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x 2))) (sqrt.f64 (*.f64 x (+.f64 x 2))))

simplify89.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4976	1327
1	4976	1327

prune65.0ms

Filtered

66 candidates to 126 candidates (-90.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0b

Counts

129 → 3

regimes47.0ms

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	12	16
1	12	16

end0.0ms

sample389.0ms

Algorithm

intervals

Results

256.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze71.0ms

sample13.0ms

simplify12.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series56.0ms

simplify70.0ms

prune19.0ms

localize11.0ms

rewrite40.0ms

series622.0ms

simplify114.0ms

prune137.0ms

localize8.0ms

rewrite50.0ms

series130.0ms

simplify89.0ms

prune65.0ms

regimes47.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample389.0ms

Profiling