Details

analyze11.0ms

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

sample20.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify482.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	786	11
1	786	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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
0.0b	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
0.0b	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
41×	`times-frac_binary64`
26×	`sqrt-prod_binary64`
24×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_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 → 91

Calls

3 calls:

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

series25.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(atan.f64 (sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
3.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
17.0ms	(sqrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

simplify38.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5097	1256

prune107.0ms

Filtered

68 candidates to 100 candidates (-47.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1.0 x)) (+.f64 1.0 x)))
0.0b	(/.f64 (cbrt.f64 (-.f64 1.0 x)) (+.f64 1.0 x))
0.0b	(cbrt.f64 (-.f64 1.0 x))
0.0b	(cbrt.f64 (-.f64 1.0 x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
69×	`add-sqr-sqrt_binary64`
66×	`times-frac_binary64`
56×	`cbrt-prod_binary64`
42×	`add-cube-cbrt_binary64`
38×	`sqrt-prod_binary64`
17×	`distribute-lft-out_binary64`
11×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`associate-/l*_binary64`
6×	`cbrt-div_binary64` `add-exp-log_binary64`
5×	`pow1_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `rem-sqrt-square_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/3_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sqrt-div_binary64`

Counts

4 → 141

Calls

4 calls:

10.0ms	(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1.0 x)) (+.f64 1.0 x)))
11.0ms	(/.f64 (cbrt.f64 (-.f64 1.0 x)) (+.f64 1.0 x))
3.0ms	(cbrt.f64 (-.f64 1.0 x))
4.0ms	(cbrt.f64 (-.f64 1.0 x))

series54.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(sqrt.f64 (/.f64 (cbrt.f64 (-.f64 1.0 x)) (+.f64 1.0 x)))
12.0ms	(/.f64 (cbrt.f64 (-.f64 1.0 x)) (+.f64 1.0 x))
8.0ms	(cbrt.f64 (-.f64 1.0 x))
10.0ms	(cbrt.f64 (-.f64 1.0 x))

simplify43.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5243	2326

prune211.0ms

Filtered

116 candidates to 153 candidates (-31.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	153	3	156

Merged error: 0b

Counts

156 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
0.0b	(sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
0.0b	(cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))
0.0b	(cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

122×	`*-un-lft-identity_binary64`
84×	`add-sqr-sqrt_binary64`
81×	`times-frac_binary64`
80×	`cbrt-prod_binary64`
46×	`add-cube-cbrt_binary64`
29×	`sqrt-prod_binary64`
21×	`distribute-lft-out_binary64`
17×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`associate-/r/_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64` `rem-sqrt-square_binary64`
2×	`associate-/l/_binary64` `sqrt-pow1_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
10.0ms	(sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
7.0ms	(cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/.f64 (-.f64 1.0 x) (+.f64 1.0 x))
9.0ms	(sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 1.0 x) (+.f64 1.0 x)))

simplify99.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4925	2445
1	4925	2445

prune227.0ms

Filtered

120 candidates to 171 candidates (-42.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	171	3	174

Merged error: 0b

Counts

174 → 3

regimes121.0ms

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	21	11
1	21	11

end0.0ms

sample476.0ms

Algorithm

intervals

Results

376.0ms

8000×

body

valid

Details

analyze11.0ms

sample20.0ms

simplify482.0ms

prune4.0ms

localize9.0ms

rewrite34.0ms

series25.0ms

simplify38.0ms

prune107.0ms

localize10.0ms

rewrite35.0ms

series54.0ms

simplify43.0ms

prune211.0ms

localize13.0ms

rewrite41.0ms

series30.0ms

simplify99.0ms

prune227.0ms

regimes121.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample476.0ms

Profiling