Details

analyze614.0ms

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

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	37×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune6.0ms

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))

rewrite7.0ms

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:

7.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify99.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4869	141
1	4869	141

prune21.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite26.0ms

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:

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

series149.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re))) (cbrt.f64 (+.f64 (.f64 x.re y.im) (*.f64 x.im y.re))))
34.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
36.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
34.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5176	1430

prune86.0ms

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: 0b

Counts

102 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
34.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
36.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
48.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify49.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5288	824

prune72.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0b

Counts

68 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.3b	(pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3)
35.5b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

3 → 59

Calls

3 calls:

4.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
5.0ms	(pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3))

series58.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
35.0ms	(pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3)
12.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3))

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4949	806
1	4949	806

prune42.0ms

Filtered

40 candidates to 68 candidates (-70.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Merged error: 0b

Counts

72 → 4

regimes404.0ms

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

sample488.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
37.0ms	1319×	body	80	invalid

Details

analyze614.0ms

sample30.0ms

simplify8.0ms

prune6.0ms

localize9.0ms

rewrite7.0ms

series18.0ms

simplify99.0ms

prune21.0ms

localize11.0ms

rewrite26.0ms

series149.0ms

simplify45.0ms

prune86.0ms

localize15.0ms

rewrite17.0ms

series153.0ms

simplify49.0ms

prune72.0ms

localize8.0ms

rewrite16.0ms

series58.0ms

simplify50.0ms

prune42.0ms

regimes404.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample488.0ms

Profiling