Details

analyze619.0ms

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

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	157	7
1	157	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

localize6.0ms

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))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5477	145

prune25.0ms

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 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.3b	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
33.4b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 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×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 59

Calls

3 calls:

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

series72.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
46.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
13.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5093	812

prune52.0ms

Filtered

39 candidates to 68 candidates (-74.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	67	4	71

Merged error: 0b

Counts

71 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
0.3b	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)
1.9b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
25.1b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`associate-l_binary64` `unpow-prod-down_binary64`
10×	`unswap-sqr_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`associate-r_binary64` `unpow2_binary64`
5×	`sqr-pow_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `pow3_binary64` `prod-exp_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
5.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
5.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2))

series131.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
22.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)
41.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
55.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5152	1594

prune90.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	101	4	105

Merged error: 0b

Counts

105 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
1.4b	(-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3))
5.7b	(.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))))
35.6b	(/.f64 (-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3)) (+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
27×	`times-frac_binary64`
20×	`sqr-pow_binary64` `difference-of-squares_binary64`
19×	`add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64` `associate-/l*_binary64`
8×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`difference-cubes_binary64` `distribute-lft-out--_binary64`
4×	`associate-*r/_binary64` `associate-+r+_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

9.0ms	(+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
8.0ms	(-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3))
8.0ms	(.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))))
17.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3)) (+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)))))
62.0ms	(-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3))
18.0ms	(.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))))
65.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3)) (+.f64 (.f64 (.f64 x.re y.re) (.f64 x.re y.re)) (.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))))

simplify62.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5013	3559

prune140.0ms

Filtered

96 candidates to 124 candidates (-29.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes444.0ms

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

sample523.0ms

Algorithm

intervals

Results

235.0ms	8000×	body	80	valid
39.0ms	1326×	body	80	invalid

Details

analyze619.0ms

sample21.0ms

simplify11.0ms

prune4.0ms

localize6.0ms

rewrite4.0ms

series13.0ms

simplify52.0ms

prune25.0ms

localize9.0ms

rewrite16.0ms

series72.0ms

simplify34.0ms

prune52.0ms

localize12.0ms

rewrite29.0ms

series131.0ms

simplify55.0ms

prune90.0ms

localize20.0ms

rewrite47.0ms

series178.0ms

simplify62.0ms

prune140.0ms

regimes444.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample523.0ms

Profiling