Details

analyze561.0ms

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

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	36×	body	80	invalid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune2.0ms

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))

series15.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify50.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5477	145

prune10.0ms

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.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))))
0.6b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
0.6b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite26.0ms

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)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
11.0ms	(.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))))
26.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
24.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

simplify34.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5291	1344

prune39.0ms

Filtered

67 candidates to 110 candidates (-64.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (fabs.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
0.6b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.1b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.1b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`pow1_binary64` `sqrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `cbrt-prod_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `sqrt-div_binary64`
3×	`associate-r_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 65

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (fabs.f64 (cbrt.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	(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)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (fabs.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
24.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
39.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
37.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

simplify68.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5036	1286

prune40.0ms

Filtered

65 candidates to 77 candidates (-18.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0.0b

Counts

81 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))))))
0.6b	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.1b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
1.1b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div_binary64`
10×	`cbrt-div_binary64` `pow1_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
8×	`associate-*r/_binary64`
6×	`associate-l_binary64` `sqrt-prod_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `associate-r_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

13.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))) (sqrt.f64 (cbrt.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	(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)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 (sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))))))
24.0ms	(sqrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
40.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
55.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4980	1705
1	4980	1705

prune42.0ms

Filtered

70 candidates to 82 candidates (-17.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

regimes333.0ms

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	35	7
1	35	7

end0.0ms

sample520.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
39.0ms	1327×	body	80	invalid

Details

analyze561.0ms

sample18.0ms

simplify10.0ms

prune2.0ms

localize5.0ms

rewrite4.0ms

series15.0ms

simplify50.0ms

prune10.0ms

localize8.0ms

rewrite26.0ms

series72.0ms

simplify34.0ms

prune39.0ms

localize12.0ms

rewrite21.0ms

series155.0ms

simplify68.0ms

prune40.0ms

localize12.0ms

rewrite27.0ms

series194.0ms

simplify52.0ms

prune42.0ms

regimes333.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample520.0ms

Profiling