Details

analyze34.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

sample15.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	8×	body	80	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

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 (+.f64 x y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip-+_binary64`

Counts

1 → 16

Calls

1 calls:

4.0ms

(sqrt.f64 (+.f64 x y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(sqrt.f64 (+.f64 x y))

simplify30.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5079	150

prune20.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0.0b

Counts

20 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

69×	`cbrt-prod_binary64`
44×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
40×	`sqrt-prod_binary64`
22×	`add-cube-cbrt_binary64`
18×	`cbrt-div_binary64` `sqrt-div_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`flip3-+_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

15.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x y)))
4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x y)))
4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x y)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x y))) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
28.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x y)))
25.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x y)))
26.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4877	1521
1	4877	1521

prune85.0ms

Filtered

87 candidates to 132 candidates (-51.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	132	3	135

Merged error: 0.0b

Counts

135 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x y))
0.5b	(pow.f64 (sqrt.f64 (+.f64 x y)) 3)
16.7b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
20×	`sqrt-prod_binary64` `cbrt-prod_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
6×	`pow1_binary64` `sqrt-div_binary64`
5×	`distribute-lft-out_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `pow-pow_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `sqrt-pow2_binary64` `pow1/3_binary64` `rem-sqrt-square_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 83

Calls

3 calls:

3.0ms	(sqrt.f64 (+.f64 x y))
5.0ms	(pow.f64 (sqrt.f64 (+.f64 x y)) 3)
6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))

series32.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sqrt.f64 (+.f64 x y))
18.0ms	(pow.f64 (sqrt.f64 (+.f64 x y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x y)) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5915	773

prune46.0ms

Filtered

47 candidates to 92 candidates (-95.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

regimes139.0ms

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	5	4
1	5	4

end0.0ms

sample270.0ms

Algorithm

intervals

Results

148.0ms	8000×	body	80	valid
4.0ms	269×	body	80	nan

Details

analyze34.0ms

sample15.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series7.0ms

simplify30.0ms

prune20.0ms

localize7.0ms

rewrite31.0ms

series107.0ms

simplify64.0ms

prune85.0ms

localize6.0ms

rewrite16.0ms

series32.0ms

simplify44.0ms

prune46.0ms

regimes139.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample270.0ms

Profiling