Details

analyze262.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify448.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) z)

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(*.f64 (+.f64 x y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5624	151

prune18.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_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 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series149.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
31.0ms	(cbrt.f64 (+.f64 x y))
32.0ms	(cbrt.f64 (+.f64 x y))
38.0ms	(cbrt.f64 (+.f64 x y))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5175	995

prune49.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0.0b

Counts

111 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
0.2b	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
3.0b	(sqrt.f64 (*.f64 (+.f64 x y) z))
3.0b	(sqrt.f64 (*.f64 (+.f64 x y) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

7.0ms	(*.f64 (+.f64 x y) z)
14.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
5.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
5.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))

series76.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 (+.f64 x y) z)
7.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) z)) (sqrt.f64 (*.f64 (+.f64 x y) z)))
29.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))
33.0ms	(sqrt.f64 (*.f64 (+.f64 x y) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4967	874
1	4967	874

prune35.0ms

Filtered

68 candidates to 116 candidates (-70.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)
0.3b	(pow.f64 (*.f64 (+.f64 x y) z) 3)
35.3b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*l/_binary64`
4×	`associate-l_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `associate-r_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

6.0ms	(*.f64 (+.f64 x y) z)
7.0ms	(pow.f64 (*.f64 (+.f64 x y) z) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

series31.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 (+.f64 x y) z)
17.0ms	(pow.f64 (*.f64 (+.f64 x y) z) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5060	575

prune27.0ms

Filtered

47 candidates to 73 candidates (-55.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

regimes164.0ms

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	5
1	7	5

end0.0ms

sample350.0ms

Algorithm

intervals

Results

164.0ms	8000×	body	80	valid
11.0ms	602×	body	80	invalid

Details

analyze262.0ms

sample17.0ms

simplify448.0ms

prune4.0ms

localize6.0ms

rewrite21.0ms

series16.0ms

simplify48.0ms

prune18.0ms

localize8.0ms

rewrite24.0ms

series149.0ms

simplify41.0ms

prune49.0ms

localize6.0ms

rewrite35.0ms

series76.0ms

simplify44.0ms

prune35.0ms

localize7.0ms

rewrite17.0ms

series31.0ms

simplify46.0ms

prune27.0ms

regimes164.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample350.0ms

Profiling