Details

analyze3.0ms

Algorithm

Search

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

sample14.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

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)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify137.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4784	96
1	4784	96

prune15.0ms

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: 0.0b

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)))))

rewrite22.0ms

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)))
5.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
9.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (fabs.f64 (-.f64 x y)))
13.0ms	(sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
13.0ms	(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)))))

simplify51.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4912	906
1	4912	906

prune54.0ms

Filtered

57 candidates to 138 candidates (-142.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	137	4	141

Merged error: 0.0b

Counts

141 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
0.5b	(cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
0.5b	(cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
0.6b	(cbrt.f64 (fabs.f64 (-.f64 x y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod_binary64`
90×	`sqrt-prod_binary64`
71×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`swap-sqr_binary64`
16×	`unswap-sqr_binary64`
12×	`associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 121

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
2.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
1.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
13.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
13.0ms	(cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
13.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5150	1843

prune65.0ms

Filtered

66 candidates to 133 candidates (-101.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	132	5	137

Merged error: 0b

Counts

137 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
0.5b	(cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
0.6b	(cbrt.f64 (fabs.f64 (-.f64 x y)))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))) 5)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod_binary64`
27×	`sqrt-prod_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
3.0ms	(cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
1.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))) 5)

series71.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
14.0ms	(cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
15.0ms	(cbrt.f64 (fabs.f64 (-.f64 x y)))
28.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))) 5)

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4860	1147
1	4860	1147

prune60.0ms

Filtered

60 candidates to 93 candidates (-55.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes196.0ms

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

sample287.0ms

Algorithm

intervals

Results

172.0ms

8000×

body

valid

Details

analyze3.0ms

sample14.0ms

simplify7.0ms

prune2.0ms

localize4.0ms

rewrite2.0ms

series7.0ms

simplify137.0ms

prune15.0ms

localize6.0ms

rewrite22.0ms

series36.0ms

simplify51.0ms

prune54.0ms

localize9.0ms

rewrite23.0ms

series53.0ms

simplify46.0ms

prune65.0ms

localize13.0ms

rewrite14.0ms

series71.0ms

simplify55.0ms

prune60.0ms

regimes196.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample287.0ms

Profiling