Details

analyze208.0ms

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

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify440.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	465	11
1	465	11

prune4.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

1.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
8.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
20.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
15.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5925	1355

prune102.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b	(sqrt.f64 (exp.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))
6.4b	(log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity_binary64`
107×	`add-sqr-sqrt_binary64`
97×	`times-frac_binary64`
92×	`log-prod_binary64`
62×	`exp-sum_binary64`
52×	`add-cube-cbrt_binary64`
34×	`difference-of-squares_binary64`
33×	`sqrt-prod_binary64`
25×	`distribute-lft-out_binary64`
17×	`distribute-lft-out--_binary64`
9×	`add-exp-log_binary64`
8×	`pow1_binary64` `associate-/r/_binary64` `exp-prod_binary64`
6×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`sqrt-pow1_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`log-pow_binary64` `rem-sqrt-square_binary64` `log-div_binary64`
2×	`associate-/l/_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `div-exp_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `rem-exp-log_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

4 → 185

Calls

4 calls:

10.0ms	(exp.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
15.0ms	(sqrt.f64 (exp.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
9.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
8.0ms	(log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
4.0ms	(sqrt.f64 (exp.f64 (log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
7.0ms	(log.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4968	2489
1	4968	2489

prune167.0ms

Filtered

119 candidates to 197 candidates (-65.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	197	0	197
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	197	2	199

Merged error: 0b

Counts

199 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

98×	`sqrt-prod_binary64`
91×	`*-un-lft-identity_binary64`
71×	`add-sqr-sqrt_binary64`
63×	`times-frac_binary64`
42×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
11×	`distribute-lft-out_binary64`
9×	`associate-/l*_binary64` `distribute-lft-out--_binary64`
8×	`sqrt-div_binary64`
7×	`associate-/r*_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/2_binary64` `flip3--_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `sqrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 137

Calls

4 calls:

4.0ms	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
4.0ms	(sqrt.f64 (-.f64 1 x))
4.0ms	(sqrt.f64 (+.f64 1 x))
13.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))

series14.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(atan.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
4.0ms	(sqrt.f64 (-.f64 1 x))
4.0ms	(sqrt.f64 (+.f64 1 x))
5.0ms	(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4960	2000
1	4960	2000

prune111.0ms

Filtered

83 candidates to 149 candidates (-79.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	149	2	151

Merged error: 0b

Counts

151 → 2

regimes46.0ms

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	23	13
1	23	13

end0.0ms

sample488.0ms

Algorithm

intervals

Results

387.0ms

8000×

body

valid

Details

analyze208.0ms

sample21.0ms

simplify440.0ms

prune4.0ms

localize10.0ms

rewrite36.0ms

series21.0ms

simplify52.0ms

prune102.0ms

localize10.0ms

rewrite52.0ms

series17.0ms

simplify63.0ms

prune167.0ms

localize9.0ms

rewrite31.0ms

series14.0ms

simplify56.0ms

prune111.0ms

regimes46.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample488.0ms

Profiling