Details

analyze218.0ms

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

sample22.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify211.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (197.0ms)

Iter	Nodes	Cost
0	4701	18
1	4701	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: 3.0b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.0b	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
0.8b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
7.0b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

5.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
12.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
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)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
43.0ms	(+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))))
64.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y))
119.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5290	1530

prune77.0ms

Filtered

66 candidates to 82 candidates (-24.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Merged error: 0b

Counts

83 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
3×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `1-exp_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `rec-exp_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

13.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)))
10.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
5.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
4.0ms	(*.f64 y 4503599627370496/5081767996463981)

series162.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)))
86.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
23.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
13.0ms	(*.f64 y 4503599627370496/5081767996463981)

simplify93.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5036	1734

prune64.0ms

Filtered

67 candidates to 105 candidates (-56.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0b

Counts

108 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))
0.5b	(.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496)))
0.8b	(-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y))
7.0b	(/.f64 y (-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
11×	`pow1_binary64` `add-exp-log_binary64`
9×	`associate-l_binary64` `times-frac_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 83

Calls

4 calls:

7.0ms	(*.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))
8.0ms	(.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496)))
9.0ms	(-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y))
20.0ms	(/.f64 y (-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y)))

series292.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))
30.0ms	(.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496)))
79.0ms	(-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y))
165.0ms	(/.f64 y (-.f64 (.f64 (sqrt.f64 5081767996463981/4503599627370496) (.f64 (exp.f64 z) (sqrt.f64 5081767996463981/4503599627370496))) (*.f64 x y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4905	1491
1	4905	1491

prune71.0ms

Filtered

72 candidates to 95 candidates (-31.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes57.0ms

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	25	18
1	25	18

end0.0ms

sample480.0ms

Algorithm

intervals

Results

312.0ms

8000×

body

valid

Details

analyze218.0ms

sample22.0ms

simplify211.0ms

prune1.0ms

localize8.0ms

rewrite31.0ms

series236.0ms

simplify88.0ms

prune77.0ms

localize9.0ms

rewrite35.0ms

series162.0ms

simplify93.0ms

prune64.0ms

localize19.0ms

rewrite46.0ms

series292.0ms

simplify109.0ms

prune71.0ms

regimes57.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample480.0ms

Profiling