Details

analyze75.0ms

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

sample22.0ms

Algorithm

intervals

Results

8.0ms

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

prune22.0ms

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

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769`
4×	`add-exp-log_binary64_3748` `add-log-exp_binary64_3749` `pow1_binary64_3730` `add-cbrt-cube_binary64_3756` `associate-r_binary64_3843` `add-cube-cbrt_binary64_3755`
3×	`associate-l_binary64_3844`
2×	`distribute-lft-in_binary64_3826` `flip-+_binary64_3809` `flip3-+_binary64_3782` `associate-*r/_binary64_3845` `associate-+l+_binary64_3836` `distribute-rgt-in_binary64_3827`
1×	`+-commutative_binary64_3851` `*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `distribute-lft-out_binary64_3828` `unswap-sqr_binary64_3812` `sum-log_binary64_3699`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
8.0ms	(*.f64 x (+.f64 x 2))

series54.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
32.0ms	(*.f64 x (+.f64 x 2))

simplify74.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5345	509

prune150.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0b

Counts

44 → 4

localize11.0ms

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))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64_3749`
4×	`sum-log_binary64_3699`
2×	`+-commutative_binary64_3851` `add-exp-log_binary64_3748` `pow1_binary64_3730` `flip-+_binary64_3809` `add-cbrt-cube_binary64_3756` `flip3-+_binary64_3782` `*-un-lft-identity_binary64_3784` `add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
1×	`distribute-lft-out_binary64_3828` `associate-+l+_binary64_3836`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

series64.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
42.0ms	(+.f64 (.f64 x 2) (.f64 x x))

simplify49.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5058	439

prune108.0ms

Filtered

22 candidates to 31 candidates (-40.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	4	35

Merged error: 0b

Counts

35 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))
0.0b	(*.f64 x (+.f64 x 2))
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_3769`
23×	`pow1_binary64_3730`
20×	`*-un-lft-identity_binary64_3784`
18×	`sqrt-prod_binary64_3763`
16×	`add-cube-cbrt_binary64_3755`
14×	`associate-r_binary64_3843`
12×	`associate-l_binary64_3844` `sqrt-div_binary64_3764`
10×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
9×	`flip-+_binary64_3809` `flip3-+_binary64_3782`
8×	`sqrt-pow1_binary64_3765` `pow1/2_binary64_3720` `swap-sqr_binary64_3811`
6×	`add-log-exp_binary64_3749` `unswap-sqr_binary64_3812` `associate-*r/_binary64_3845`
5×	`pow-prod-down_binary64_3711` `pow-prod-up_binary64_3710`
4×	`frac-times_binary64_3776`
3×	`*-commutative_binary64_3852` `cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-sqr_binary64_3817` `distribute-lft-in_binary64_3826` `distribute-rgt-in_binary64_3827`
2×	`associate-*l/_binary64_3846` `distribute-lft-out_binary64_3828` `associate-+l+_binary64_3836`
1×	`+-commutative_binary64_3851` `rem-square-sqrt_binary64_3771` `pow-plus_binary64_3725` `sqrt-unprod_binary64_3767` `pow2_binary64_3721` `sum-log_binary64_3699`

Counts

4 → 116

Calls

4 calls:

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

series110.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
31.0ms	(*.f64 x (+.f64 x 2))
29.0ms	(*.f64 x (+.f64 x 2))
25.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x (+.f64 x 2)) (*.f64 y y))))

simplify89.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4876	2058
1	4876	2058

prune305.0ms

Filtered

67 candidates to 128 candidates (-91.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	128	4	132

Merged error: 0b

Counts

132 → 4

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 x (+.f64 x 2)) 3)
0.2b	(.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
1.4b	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
40.0b	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64_3784`
15×	`add-sqr-sqrt_binary64_3769` `add-cube-cbrt_binary64_3755`
14×	`add-exp-log_binary64_3748` `add-cbrt-cube_binary64_3756`
12×	`times-frac_binary64_3779` `pow1_binary64_3730`
10×	`distribute-lft-in_binary64_3826` `associate-*r/_binary64_3845` `distribute-rgt-in_binary64_3827`
8×	`associate--l+_binary64_3840`
7×	`flip-+_binary64_3809` `flip3-+_binary64_3782`
6×	`add-log-exp_binary64_3749` `associate-+r+_binary64_3835`
4×	`cbrt-unprod_binary64_3753` `prod-exp_binary64_3735` `pow-prod-down_binary64_3711` `associate-/l*_binary64_3848` `distribute-lft-out_binary64_3828` `frac-times_binary64_3776` `sub-neg_binary64_3788`
3×	`associate-/r_binary64_3847` `flip3--_binary64_3783` `pow-unpow_binary64_3717` `flip--_binary64_3810` `associate-r*_binary64_3843`
2×	`associate-/l/_binary64_3850` `associate-*l/_binary64_3846` `rem-cube-cbrt_binary64_3760` `pow-pow_binary64_3712` `associate-/r/_binary64_3849` `cube-div_binary64_3758` `pow-exp_binary64_3708`
1×	`+-commutative_binary64_3851` `-commutative_binary64_3852` `sqr-pow_binary64_3816` `clear-num_binary64_3787` `cube-prod_binary64_3757` `frac-2neg_binary64_3777` `associate-l*_binary64_3844` `pow-to-exp_binary64_3709` `div-inv_binary64_3785` `cbrt-undiv_binary64_3754` `div-exp_binary64_3737` `unpow-prod-down_binary64_3719` `unpow3_binary64_3728` `cube-mult_binary64_3759` `sum-log_binary64_3699`

Counts

4 → 108

Calls

4 calls:

6.0ms	(pow.f64 (*.f64 x (+.f64 x 2)) 3)
13.0ms	(.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
6.0ms	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
14.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(pow.f64 (*.f64 x (+.f64 x 2)) 3)
40.0ms	(.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y)))
63.0ms	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (.f64 y y))))
102.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))))

simplify99.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5619	4258

prune360.0ms

Filtered

85 candidates to 120 candidates (-41.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	120	4	124

Merged error: 0b

Counts

124 → 4

regimes364.0ms

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	11	13
1	11	13

end0.0ms

sample416.0ms

Algorithm

intervals

Results

251.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze75.0ms

sample22.0ms

simplify12.0ms

prune22.0ms

localize15.0ms

rewrite16.0ms

series54.0ms

simplify74.0ms

prune150.0ms

localize11.0ms

rewrite11.0ms

series64.0ms

simplify49.0ms

prune108.0ms

localize24.0ms

rewrite42.0ms

series110.0ms

simplify89.0ms

prune305.0ms

localize33.0ms

rewrite43.0ms

series221.0ms

simplify99.0ms

prune360.0ms

regimes364.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample416.0ms

Profiling