Details

analyze12.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample239.0ms

Algorithm

intervals

Results

14.0ms

256×

body

128

valid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	466	17
1	466	17

prune3.0ms

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

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

79×	`*-un-lft-identity_binary64`
56×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
26×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `associate-/r/_binary64`
3×	`add-log-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

3 → 100

Calls

3 calls:

10.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

series105.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
22.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
36.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

simplify75.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5632	2062

prune95.0ms

Filtered

69 candidates to 109 candidates (-58.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	2	110

Merged error: 0b

Counts

110 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

187×	`*-un-lft-identity_binary64`
125×	`add-sqr-sqrt_binary64`
120×	`times-frac_binary64`
66×	`cbrt-prod_binary64`
62×	`add-cube-cbrt_binary64`
60×	`unpow-prod-down_binary64` `cube-prod_binary64`
42×	`difference-of-squares_binary64`
31×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64`
3×	`pow-unpow_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

4 → 214

Calls

4 calls:

1.0ms	(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
9.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
12.0ms	(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)

series100.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
23.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
29.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
31.0ms	(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)

simplify72.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5553	4491

prune117.0ms

Filtered

95 candidates to 226 candidates (-137.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	226	2	228

Merged error: 0b

Counts

228 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
0.0b	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
0.0b	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

714×	`times-frac_binary64`
687×	`*-un-lft-identity_binary64`
478×	`add-sqr-sqrt_binary64`
420×	`sqrt-prod_binary64`
285×	`add-cube-cbrt_binary64`
128×	`difference-of-squares_binary64`
105×	`distribute-lft-out_binary64`
64×	`distribute-lft-out--_binary64`
54×	`associate-/l*_binary64`
22×	`sqrt-div_binary64`
20×	`associate-/r/_binary64`
14×	`associate-/r*_binary64`
11×	`flip3-+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
10×	`div-inv_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-/l/_binary64` `div-sub_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`

Counts

4 → 504

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 1 x))
1.0ms	(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
11.0ms	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
30.0ms	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt.f64 (+.f64 1 x))
18.0ms	(atan.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))
53.0ms	(/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x)))
26.0ms	(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))

simplify194.0ms

Algorithm

egg-herbie

Counts

516 → 516

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5120	15797

prune307.0ms

Filtered

169 candidates to 516 candidates (-205.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	516	0	516
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	516	2	518

Merged error: 0b

Counts

518 → 2

regimes18.0ms

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	25	22
1	25	22

end0.0ms

sample529.0ms

Algorithm

intervals

Results

419.0ms

8000×

body

128

valid

Details

analyze12.0ms

sample239.0ms

simplify197.0ms

prune3.0ms

localize16.0ms

rewrite33.0ms

series105.0ms

simplify75.0ms

prune95.0ms

localize13.0ms

rewrite64.0ms

series100.0ms

simplify72.0ms

prune117.0ms

localize10.0ms

rewrite142.0ms

series119.0ms

simplify194.0ms

prune307.0ms

regimes18.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample529.0ms

Profiling