Details

analyze314.0ms

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	300	7
1	300	7

prune9.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 z (-.f64 1 y))
0.0b	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`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` `difference-of-squares_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 38

Calls

2 calls:

7.0ms	(*.f64 z (-.f64 1 y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 z (-.f64 1 y))
9.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4946	332
1	4946	332

prune34.0ms

Filtered

30 candidates to 44 candidates (-46.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Merged error: 0.0b

Counts

46 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

7.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
8.0ms	(*.f64 y (-.f64 x z))

series27.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 z (*.f64 y (-.f64 x z)))
14.0ms	(*.f64 y (-.f64 x z))

simplify115.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4944	327
1	4944	327

prune38.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	43	2	45

Merged error: 0b

Counts

45 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 z (.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z))))
0.1b	(*.f64 y (sqrt.f64 (-.f64 x z)))
0.2b	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r_binary64` `add-sqr-sqrt_binary64`
14×	`sqrt-div_binary64`
12×	`*-un-lft-identity_binary64`
11×	`sqrt-prod_binary64`
10×	`pow1_binary64` `associate-*r/_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`flip3--_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 68

Calls

3 calls:

4.0ms	(+.f64 z (.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z))))
8.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
13.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 z (.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z))))
18.0ms	(*.f64 y (sqrt.f64 (-.f64 x z)))
10.0ms	(.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5360	758

prune47.0ms

Filtered

48 candidates to 77 candidates (-60.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Merged error: 0b

Counts

79 → 2

regimes194.0ms

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	21	9
1	21	9

end0.0ms

sample448.0ms

Algorithm

intervals

Results

239.0ms	8000×	body	80	valid
21.0ms	641×	body	80	invalid

Details

analyze314.0ms

sample16.0ms

simplify15.0ms

prune9.0ms

localize6.0ms

rewrite13.0ms

series15.0ms

simplify51.0ms

prune34.0ms

localize5.0ms

rewrite16.0ms

series27.0ms

simplify115.0ms

prune38.0ms

localize7.0ms

rewrite27.0ms

series36.0ms

simplify51.0ms

prune47.0ms

regimes194.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample448.0ms

Profiling