Details

analyze47.0ms

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
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	129	7
1	129	7

prune1.0ms

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 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify121.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4919	157
1	4919	157

prune7.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)
0.2b	(pow.f64 (-.f64 (*.f64 x y) x) 3)
39.2b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 59

Calls

3 calls:

4.0ms	(-.f64 (*.f64 x y) x)
5.0ms	(pow.f64 (-.f64 (*.f64 x y) x) 3)
5.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))

series73.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(-.f64 (*.f64 x y) x)
28.0ms	(pow.f64 (-.f64 (*.f64 x y) x) 3)
24.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4986	902
1	4986	902

prune26.0ms

Filtered

38 candidates to 68 candidates (-78.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Merged error: 0.0b

Counts

70 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 (*.f64 x y) x) 2)
0.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) x) 2)) (cbrt.f64 (-.f64 (*.f64 x y) x)))
0.6b	(cbrt.f64 (-.f64 (*.f64 x y) x))
31.0b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`associate-l_binary64` `unpow-prod-down_binary64`
10×	`unswap-sqr_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`associate-r_binary64` `unpow2_binary64`
5×	`sqr-pow_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `pow3_binary64` `prod-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

5.0ms	(pow.f64 (-.f64 (*.f64 x y) x) 2)
12.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) x) 2)) (cbrt.f64 (-.f64 (*.f64 x y) x)))
4.0ms	(cbrt.f64 (-.f64 (*.f64 x y) x))
5.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))

series199.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow.f64 (-.f64 (*.f64 x y) x) 2)
23.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x y) x) 2)) (cbrt.f64 (-.f64 (*.f64 x y) x)))
67.0ms	(cbrt.f64 (-.f64 (*.f64 x y) x))
86.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 x y) x) 2))

simplify118.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4873	2055
1	4873	2055

prune65.0ms

Filtered

72 candidates to 101 candidates (-40.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0.0b

Counts

104 → 3

regimes29.0ms

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	16	7
1	16	7

end0.0ms

sample440.0ms

Algorithm

intervals

Results

320.0ms	8000×	body	80	valid
1.0ms	71×	body	80	invalid

Details

analyze47.0ms

sample9.0ms

simplify17.0ms

prune1.0ms

localize3.0ms

rewrite4.0ms

series20.0ms

simplify121.0ms

prune7.0ms

localize6.0ms

rewrite15.0ms

series73.0ms

simplify73.0ms

prune26.0ms

localize9.0ms

rewrite28.0ms

series199.0ms

simplify118.0ms

prune65.0ms

regimes29.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample440.0ms

Profiling