Details

analyze254.0ms

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
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	20×	body	128	invalid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
8.0ms	(*.f64 y (-.f64 z x))

series129.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
72.0ms	(*.f64 y (-.f64 z x))

simplify55.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4960	482
1	4960	482

prune26.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_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`
1×	`associate-+r-_binary64` `associate-+r+_binary64`

Counts

2 → 28

Calls

2 calls:

4.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
7.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))

series125.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+.f64 (.f64 y z) (.f64 y (neg.f64 x)))
57.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y (neg.f64 x))))

simplify59.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5028	420

prune19.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
0.0b	(*.f64 y (-.f64 z x))
0.3b	(pow.f64 (*.f64 y (-.f64 z x)) 3)
35.7b	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`associate-r_binary64`
4×	`cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

6.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
7.0ms	(*.f64 y (-.f64 z x))
7.0ms	(pow.f64 (*.f64 y (-.f64 z x)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

series321.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(+.f64 x (cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3)))
59.0ms	(*.f64 y (-.f64 z x))
115.0ms	(pow.f64 (*.f64 y (-.f64 z x)) 3)
81.0ms	(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5020	1100

prune44.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	91	2	93

Merged error: 0b

Counts

93 → 2

regimes28.0ms

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	37	13
1	37	13

end0.0ms

sample379.0ms

Algorithm

intervals

Results

184.0ms	8000×	body	128	valid
12.0ms	549×	body	128	invalid

Details

analyze254.0ms

sample13.0ms

simplify18.0ms

prune1.0ms

localize5.0ms

rewrite19.0ms

series129.0ms

simplify55.0ms

prune26.0ms

localize7.0ms

rewrite13.0ms

series125.0ms

simplify59.0ms

prune19.0ms

localize8.0ms

rewrite28.0ms

series321.0ms

simplify54.0ms

prune44.0ms

regimes28.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample379.0ms

Profiling