Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	69	5
1	69	5

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
2×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `pow1/2_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

1 → 13

Calls

1 calls:

1.0ms

(sqrt.f64 (fabs.f64 (-.f64 x y)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify127.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4784	96
1	4784	96

prune19.0ms

Filtered

10 candidates to 16 candidates (-60.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	2	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0b

Counts

17 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.1b	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.1b	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.5b	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

89×	`sqrt-prod_binary64`
56×	`add-sqr-sqrt_binary64`
41×	`sqrt-pow1_binary64`
32×	`pow1_binary64`
21×	`*-un-lft-identity_binary64` `pow1/2_binary64` `add-cube-cbrt_binary64`
15×	`swap-sqr_binary64`
9×	`associate-r_binary64` `pow-prod-up_binary64` `associate-l_binary64` `unswap-sqr_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-down_binary64` `rem-sqrt-square_binary64` `pow-sqr_binary64`
4×	`add-log-exp_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 126

Calls

4 calls:

1.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
10.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
12.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
12.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
5.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4912	906
1	4912	906

prune53.0ms

Filtered

57 candidates to 138 candidates (-142.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
0.4b	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.5b	(cbrt.f64 (fabs.f64 (-.f64 x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64` `cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`associate-r_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64`
2×	`sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

2.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
10.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
18.0ms	(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
12.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
12.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6176	780

prune48.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Merged error: 0b

Counts

81 → 3

regimes168.0ms

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	15	5
1	15	5

end0.0ms

sample282.0ms

Algorithm

intervals

Results

170.0ms

8000×

body

valid

Details

analyze2.0ms

sample11.0ms

simplify7.0ms

prune2.0ms

localize4.0ms

rewrite2.0ms

series6.0ms

simplify127.0ms

prune19.0ms

localize6.0ms

rewrite19.0ms

series32.0ms

simplify54.0ms

prune53.0ms

localize7.0ms

rewrite18.0ms

series54.0ms

simplify43.0ms

prune48.0ms

regimes168.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample282.0ms

Profiling