Details

analyze362.0ms

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
40.6%	56.9%	2.5%	9
46%	49.5%	4.4%	10
50.3%	44.9%	4.8%	11
60.3%	30.5%	9.2%	12
62.9%	25.7%	11.4%	13
65.2%	23.2%	11.7%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	23×	body	80	invalid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4992	11
1	4992	11

prune12.0ms

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: 0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1.0 (*.f64 4.0 (+.f64 0.75 (/.f64 (-.f64 x z) y))))
0.0b	(/.f64 (-.f64 x z) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `associate-+r+_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 51

Calls

2 calls:

4.0ms	(+.f64 1.0 (*.f64 4.0 (+.f64 0.75 (/.f64 (-.f64 x z) y))))
6.0ms	(/.f64 (-.f64 x z) y)

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 1.0 (*.f64 4.0 (+.f64 0.75 (/.f64 (-.f64 x z) y))))
7.0ms	(/.f64 (-.f64 x z) y)

simplify49.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4991	583
1	4991	583

prune51.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	58	1	59

Merged error: 0b

Counts

59 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x z) y)
0.0b	(*.f64 (/.f64 (-.f64 x z) y) 4.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 76

Calls

2 calls:

6.0ms	(/.f64 (-.f64 x z) y)
9.0ms	(*.f64 (/.f64 (-.f64 x z) y) 4.0)

series20.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 x z) y)
10.0ms	(*.f64 (/.f64 (-.f64 x z) y) 4.0)

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	6288	710

prune59.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	1	83

Merged error: 0b

Counts

83 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample504.0ms

Algorithm

intervals

Results

290.0ms	8000×	body	80	valid
32.0ms	930×	body	80	invalid

Details

analyze362.0ms

sample19.0ms

simplify64.0ms

prune12.0ms

localize8.0ms

rewrite11.0ms

series16.0ms

simplify49.0ms

prune51.0ms

localize6.0ms

rewrite18.0ms

series20.0ms

simplify52.0ms

prune59.0ms

simplify2.0ms

end0.0ms

sample504.0ms

Profiling