Details

analyze66.0ms

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

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2.0) (.f64 x x))
0.0b	(+.f64 (+.f64 (.f64 x 2.0) (.f64 x x)) (*.f64 y y))

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:

4.0ms	(+.f64 (.f64 x 2.0) (.f64 x x))
7.0ms	(+.f64 (+.f64 (.f64 x 2.0) (.f64 x x)) (*.f64 y y))

series14.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x 2.0) (.f64 x x))
7.0ms	(+.f64 (+.f64 (.f64 x 2.0) (.f64 x x)) (*.f64 y y))

simplify51.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5263	302

prune32.0ms

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	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 x 2.0))
0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))
0.0b	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2.0)))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

8.0ms	(*.f64 x (+.f64 x 2.0))
5.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))
5.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))
13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2.0)))))

series31.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 x (+.f64 x 2.0))
8.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))
9.0ms	(+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))
8.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 y y) (.f64 x (+.f64 x 2.0)))) (sqrt.f64 (+.f64 (.f64 y y) (*.f64 x (+.f64 x 2.0)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5377	1360

prune87.0ms

Filtered

66 candidates to 118 candidates (-78.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0.0b

Counts

121 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (*.f64 x (+.f64 x 2.0)) 3)
0.1b	(.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y)))
2.2b	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y))))
39.2b	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2.0)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (*.f64 y y)))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`pow1_binary64` `times-frac_binary64`
10×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate--l+_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `associate-+r+_binary64`
4×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `prod-exp_binary64` `associate-/l*_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `flip3--_binary64` `associate-r*_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `pow-pow_binary64` `associate-/r/_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64` `associate-*l/_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `associate-l_binary64` `clear-num_binary64` `unpow-prod-down_binary64` `frac-2neg_binary64` `cube-prod_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `unpow3_binary64` `sum-log_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 108

Calls

4 calls:

6.0ms	(pow.f64 (*.f64 x (+.f64 x 2.0)) 3)
14.0ms	(.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y)))
6.0ms	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y))))
14.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2.0)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (*.f64 y y)))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(pow.f64 (*.f64 x (+.f64 x 2.0)) 3)
14.0ms	(.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y)))
25.0ms	(+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (.f64 y y))))
37.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x 2.0)) 3) (pow.f64 y 6)) (+.f64 (pow.f64 y 4) (.f64 (.f64 x (+.f64 x 2.0)) (-.f64 (.f64 x (+.f64 x 2.0)) (*.f64 y y)))))

simplify64.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5018	2882

prune161.0ms

Filtered

86 candidates to 120 candidates (-39.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0.0b

Counts

123 → 3

regimes172.0ms

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	11
1	11	11

end0.0ms

sample344.0ms

Algorithm

intervals

Results

229.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze66.0ms

sample13.0ms

simplify6.0ms

prune7.0ms

localize7.0ms

rewrite12.0ms

series14.0ms

simplify51.0ms

prune32.0ms

localize8.0ms

rewrite34.0ms

series31.0ms

simplify58.0ms

prune87.0ms

localize17.0ms

rewrite46.0ms

series80.0ms

simplify64.0ms

prune161.0ms

regimes172.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample344.0ms

Profiling