Details

analyze553.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	43×	body	80	invalid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	161	14
1	161	14

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

simplify78.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	6202	286

prune12.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
1.9b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.9b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.9b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

series591.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
139.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
139.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
140.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

simplify93.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4952	2776
1	4952	2776

prune78.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (sqrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
1.4b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.4b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_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×	`sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

4.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
12.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (sqrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
4.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
46.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (sqrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
87.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
91.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

simplify115.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4928	2514
1	4928	2514

prune56.0ms

Filtered

67 candidates to 110 candidates (-64.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	109	5	114

Merged error: 0.0b

Counts

114 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) 6)
1.9b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.9b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
30.3b	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) 6) 1/3)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`unpow-prod-down_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`cbrt-prod_binary64`
7×	`add-exp-log_binary64`
6×	`pow-unpow_binary64`
5×	`pow1_binary64` `pow-exp_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`unpow1/3_binary64`

Counts

4 → 74

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) 6)
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
8.0ms	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) 6) 1/3)

series2.3s

Counts

4 → 12

Calls

4 calls:

1.6s	(pow.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) 6)
140.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
138.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
442.0ms	(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) 6) 1/3)

simplify85.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4936	2020
1	4936	2020

prune61.0ms

Filtered

57 candidates to 86 candidates (-50.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	86	5	91

Merged error: 0.0b

Counts

91 → 5

regimes93.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

end0.0ms

sample466.0ms

Algorithm

intervals

Results

208.0ms	8000×	body	80	valid
34.0ms	1411×	body	80	invalid

Details

analyze553.0ms

sample19.0ms

simplify19.0ms

prune1.0ms

localize5.0ms

rewrite4.0ms

series39.0ms

simplify78.0ms

prune12.0ms

localize9.0ms

rewrite25.0ms

series591.0ms

simplify93.0ms

prune78.0ms

localize8.0ms

rewrite27.0ms

series270.0ms

simplify115.0ms

prune56.0ms

localize16.0ms

rewrite22.0ms

series2.3s

simplify85.0ms

prune61.0ms

regimes93.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample466.0ms

Profiling