Details

analyze580.0ms

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

6.0ms	256×	body	80	valid
1.0ms	40×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_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 → 11

Calls

1 calls:

4.0ms

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

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4869	141
1	4869	141

prune17.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (sqrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
1.5b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
1.5b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

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×	`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 → 98

Calls

4 calls:

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

series79.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (sqrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
25.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
29.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify36.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5537	1320

prune77.0ms

Filtered

67 candidates to 110 candidates (-64.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 3)
1.5b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
1.5b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
8.9b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

6.0ms	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 3)
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
6.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 3))

series136.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 3)
26.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
27.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
25.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5017	1328

prune71.0ms

Filtered

64 candidates to 105 candidates (-64.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.3b	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 4)
1.5b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
10.9b	(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 4))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`sqrt-prod_binary64`
15×	`add-sqr-sqrt_binary64`
14×	`unpow-prod-down_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `rem-sqrt-square_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1/2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow-to-exp_binary64` `sqrt-pow2_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
6.0ms	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 4)
4.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
6.0ms	(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 4))

series120.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
67.0ms	(pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 4)
27.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
13.0ms	(sqrt.f64 (pow.f64 (sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) 4))

simplify36.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5041	854

prune61.0ms

Filtered

58 candidates to 84 candidates (-44.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

regimes367.0ms

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	10	7
1	10	7

end0.0ms

sample485.0ms

Algorithm

intervals

Results

211.0ms	8000×	body	80	valid
35.0ms	1339×	body	80	invalid

Details

analyze580.0ms

sample19.0ms

simplify5.0ms

prune4.0ms

localize9.0ms

rewrite5.0ms

series13.0ms

simplify84.0ms

prune17.0ms

localize8.0ms

rewrite27.0ms

series79.0ms

simplify36.0ms

prune77.0ms

localize11.0ms

rewrite23.0ms

series136.0ms

simplify62.0ms

prune71.0ms

localize9.0ms

rewrite21.0ms

series120.0ms

simplify36.0ms

prune61.0ms

regimes367.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample485.0ms

Profiling