Details

analyze232.0ms

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

128

valid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4813	18
1	4813	18

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: 2.7b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
5.6b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 40

Calls

2 calls:

5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
7.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

series276.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
170.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5739	1007

prune48.0ms

Filtered

39 candidates to 46 candidates (-17.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Merged error: 0b

Counts

47 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
0.1b	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
0.2b	(*.f64 y 4503599627370496/5081767996463981)
0.2b	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
13×	`add-cbrt-cube_binary64`
12×	`add-exp-log_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `rec-exp_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

8.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
6.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
4.0ms	(*.f64 y 4503599627370496/5081767996463981)
10.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))

series312.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
37.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
20.0ms	(*.f64 y 4503599627370496/5081767996463981)
173.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))

simplify83.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4897	1656
1	4897	1656

prune68.0ms

Filtered

67 candidates to 104 candidates (-55.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	104	2	106

Merged error: 0b

Counts

106 → 2

regimes56.0ms

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	24	18
1	24	18

end0.0ms

sample492.0ms

Algorithm

intervals

Results

312.0ms

8000×

body

128

valid

Details

analyze232.0ms

sample17.0ms

simplify149.0ms

prune1.0ms

localize8.0ms

rewrite15.0ms

series276.0ms

simplify65.0ms

prune48.0ms

localize9.0ms

rewrite37.0ms

series312.0ms

simplify83.0ms

prune68.0ms

regimes56.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample492.0ms

Profiling