Details

analyze18.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

128

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune1.0ms

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	(+.f64 x (/.f64 y 500))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 y 500))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+.f64 x (/.f64 y 500))

simplify66.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5288	164

prune9.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0.0b

Counts

16 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))
0.0b	(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.0b	(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.2b	(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64` `sqrt-prod_binary64`
28×	`add-sqr-sqrt_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`add-cube-cbrt_binary64`
11×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 106

Calls

4 calls:

7.0ms	(+.f64 x (/.f64 y 500))
7.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
7.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
18.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))

series223.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+.f64 x (/.f64 y 500))
63.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
65.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
59.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4983	1691
1	4983	1691

prune67.0ms

Filtered

66 candidates to 118 candidates (-78.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	118	2	120

Merged error: 0.0b

Counts

120 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 4) (cbrt.f64 (+.f64 x (/.f64 y 500))))
0.5b	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 4)
0.5b	(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 y 500)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
27×	`cbrt-prod_binary64`
26×	`*-un-lft-identity_binary64` `unpow-prod-down_binary64`
18×	`sqrt-prod_binary64`
16×	`add-cube-cbrt_binary64`
14×	`associate-l_binary64`
10×	`add-exp-log_binary64` `unswap-sqr_binary64`
7×	`associate-r_binary64`
6×	`cbrt-div_binary64` `pow1_binary64`
5×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `pow1/3_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `sqrt-pow1_binary64` `pow-exp_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

20.0ms	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 4) (cbrt.f64 (+.f64 x (/.f64 y 500))))
10.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 4)
6.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))

series907.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 4) (cbrt.f64 (+.f64 x (/.f64 y 500))))
391.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500)))) 4)
221.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))
224.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))

simplify76.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4907	1952
1	4907	1952

prune102.0ms

Filtered

82 candidates to 113 candidates (-37.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 0b

Counts

115 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 y 500)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 y 500)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod_binary64`
17×	`*-un-lft-identity_binary64`
10×	`cbrt-div_binary64`
9×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 59

Calls

4 calls:

7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))

series963.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 y 500))))
220.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))
231.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))
226.0ms	(cbrt.f64 (+.f64 x (/.f64 y 500)))

simplify86.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4810	1229
1	4810	1229

prune120.0ms

Filtered

63 candidates to 71 candidates (-12.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	71	3	74

Merged error: 0b

Counts

74 → 3

regimes44.0ms

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	7	7
1	7	7

end0.0ms

sample271.0ms

Algorithm

intervals

Results

149.0ms

8000×

body

128

valid

Details

analyze18.0ms

sample10.0ms

simplify8.0ms

prune1.0ms

localize4.0ms

rewrite7.0ms

series34.0ms

simplify66.0ms

prune9.0ms

localize6.0ms

rewrite48.0ms

series223.0ms

simplify54.0ms

prune67.0ms

localize9.0ms

rewrite55.0ms

series907.0ms

simplify76.0ms

prune102.0ms

localize15.0ms

rewrite34.0ms

series963.0ms

simplify86.0ms

prune120.0ms

regimes44.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample271.0ms

Profiling