Details

analyze571.0ms (22.5%)

Algorithm

1×

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 (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune6.0ms (0.3%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.2%)

Algorithm

1×	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 (0.5%)

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify56.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5477	145

prune22.0ms (0.9%)

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

localize8.0ms (0.3%)

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 (0.6%)

Algorithm

1×	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:

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

series72.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

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))
12.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

simplify35.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5093	812

prune72.0ms (2.8%)

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

localize11.0ms (0.4%)

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))

rewrite32.0ms (1.3%)

Algorithm

1×	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:

14.0ms	(.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))))
7.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)
5.0ms	(cbrt.f64 (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)))

series131.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2))
45.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
19.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 2)
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))))

simplify55.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5152	1594

prune103.0ms (4.1%)

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

localize15.0ms (0.6%)

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))))))

rewrite49.0ms (1.9%)

Algorithm

1×	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:

19.0ms	(/.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))))))
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 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))

series170.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(/.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))))))
57.0ms	(-.f64 (pow.f64 (.f64 x.re y.re) 3) (pow.f64 (.f64 x.im y.im) 3))
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)))))
20.0ms	(.f64 x.im (.f64 y.im (+.f64 (.f64 x.re y.re) (.f64 x.im y.im))))

simplify60.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5013	3559

prune157.0ms (6.2%)

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

regimes371.0ms (14.6%)

Accuracy

Total 0.0b remaining (26.1%)

Threshold costs 0.0b (26.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms (0%)

sample476.0ms (18.7%)

Algorithm

1×

intervals

Results

211.0ms	8000×	body	80	valid
38.0ms	1326×	body	80	invalid

Details

analyze571.0ms (22.5%)

sample19.0ms (0.7%)

simplify10.0ms (0.4%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite4.0ms (0.2%)

series13.0ms (0.5%)

simplify56.0ms (2.2%)

prune22.0ms (0.9%)

localize8.0ms (0.3%)

rewrite16.0ms (0.6%)

series72.0ms (2.8%)

simplify35.0ms (1.4%)

prune72.0ms (2.8%)

localize11.0ms (0.4%)

rewrite32.0ms (1.3%)

series131.0ms (5.2%)

simplify55.0ms (2.2%)

prune103.0ms (4.1%)

localize15.0ms (0.6%)

rewrite49.0ms (1.9%)

series170.0ms (6.7%)

simplify60.0ms (2.4%)

prune157.0ms (6.2%)

regimes371.0ms (14.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample476.0ms (18.7%)

Profiling