Details

analyze536.0ms (11.6%)

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	53×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify170.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune2.0ms (0%)

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

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1124`
1×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `sum-log_binary64_1176` `add-exp-log_binary64_1123` `+-commutative_binary64_1020` `flip-+_binary64_1062` `pow1_binary64_1146` `flip3-+_binary64_1091` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

Counts

1 → 11

Calls

1 calls:

5.0ms

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

series84.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

84.0ms

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4964	278
1	4964	278

prune11.0ms (0.2%)

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

Compiler

Compiled 223 to 61 computations (72.6% saved)

localize9.0ms (0.2%)

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))))
2.3b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.3b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.3b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1116`
23×	`add-sqr-sqrt_binary64_1109`
18×	`cbrt-div_binary64_1117`
15×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
11×	`pow1_binary64_1146`
9×	`flip-+_binary64_1062` `pow1/3_binary64_1167` `flip3-+_binary64_1091`
6×	`swap-sqr_binary64_1055` `associate-r_binary64_1030` `add-exp-log_binary64_1123` `associate-l_binary64_1031`
4×	`add-cbrt-cube_binary64_1121` `unswap-sqr_binary64_1056` `frac-times_binary64_1098` `add-log-exp_binary64_1124`
2×	`associate-l/_binary64_1033` `pow-prod-down_binary64_1156` `pow-sqr_binary64_1061` `pow-prod-up_binary64_1155` `associate-r/_binary64_1032`
1×	`*-commutative_binary64_1021` `pow-plus_binary64_1148` `cbrt-unprod_binary64_1118` `pow2_binary64_1166` `prod-exp_binary64_1134`

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)))

series986.0ms (21.4%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(.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))))
231.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
230.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
222.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5205	2755

prune96.0ms (2.1%)

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: 0.0b

Counts

102 → 4

Compiler

Compiled 3255 to 558 computations (82.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.3b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.3b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.3b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.3b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1116`
8×	`add-sqr-sqrt_binary64_1109` `cbrt-div_binary64_1117` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
4×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `flip-+_binary64_1062` `pow1/3_binary64_1167` `add-log-exp_binary64_1124` `pow1_binary64_1146` `flip3-+_binary64_1091`

Counts

4 → 52

Calls

4 calls:

6.0ms	(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)))

series919.0ms (19.9%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
231.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
229.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
225.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify72.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5375	1604

prune85.0ms (1.8%)

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: 0.0b

Counts

68 → 4

Compiler

Compiled 2987 to 520 computations (82.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x.re y.im) (*.f64 x.re y.im))
0.2b	(.f64 (.f64 x.im y.re) (*.f64 x.im y.re))
2.4b	(-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re)))
24.3b	(/.f64 (-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re))) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite48.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`pow1_binary64_1146`
34×	`pow-prod-down_binary64_1156`
30×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
16×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134`
13×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
12×	`times-frac_binary64_1094`
8×	`pow-sqr_binary64_1061` `pow-prod-up_binary64_1155`
6×	`add-log-exp_binary64_1124`
5×	`difference-of-squares_binary64_1057`
4×	`pow-plus_binary64_1148` `associate-/l*_binary64_1035`
3×	`flip3--_binary64_1092` `associate-/r*_binary64_1034` `flip--_binary64_1063`
2×	`-commutative_binary64_1021` `swap-sqr_binary64_1055` `associate-r_binary64_1030` `pow2_binary64_1166` `associate-/l/_binary64_1037` `associate-/r/_binary64_1036` `associate-l*_binary64_1031`
1×	`clear-num_binary64_1087` `frac-2neg_binary64_1099` `sub-neg_binary64_1081` `div-exp_binary64_1136` `div-sub_binary64_1093` `diff-log_binary64_1177` `cbrt-undiv_binary64_1119` `div-inv_binary64_1085`

Counts

4 → 116

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re))) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
8.0ms	(-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re)))
7.0ms	(.f64 (.f64 x.re y.im) (*.f64 x.re y.im))
7.0ms	(.f64 (.f64 x.im y.re) (*.f64 x.im y.re))

series512.0ms (11.1%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(/.f64 (-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re))) (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
193.0ms	(-.f64 (.f64 (.f64 x.re y.im) (.f64 x.re y.im)) (.f64 (.f64 x.im y.re) (.f64 x.im y.re)))
49.0ms	(.f64 (.f64 x.re y.im) (*.f64 x.re y.im))
46.0ms	(.f64 (.f64 x.im y.re) (*.f64 x.im y.re))

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5185	2778

prune125.0ms (2.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	128	4	132

Merged error: 0.0b

Counts

132 → 4

Compiler

Compiled 3337 to 1098 computations (67.1% saved)

regimes85.0ms (1.8%)

Compiler: Compiled 699 to 360 computations (48.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample572.0ms (12.4%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	128	valid
40.0ms	1405×	body	128	invalid

Compiler

Compiled 110 to 61 computations (44.5% saved)

Details

analyze536.0ms (11.6%)

sample17.0ms (0.4%)

simplify170.0ms (3.7%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite6.0ms (0.1%)

series84.0ms (1.8%)

simplify67.0ms (1.4%)

prune11.0ms (0.2%)

localize9.0ms (0.2%)

rewrite35.0ms (0.8%)

series986.0ms (21.4%)

simplify71.0ms (1.5%)

prune96.0ms (2.1%)

localize14.0ms (0.3%)

rewrite25.0ms (0.5%)

series919.0ms (19.9%)

simplify72.0ms (1.6%)

prune85.0ms (1.8%)

localize10.0ms (0.2%)

rewrite48.0ms (1%)

series512.0ms (11.1%)

simplify56.0ms (1.2%)

prune125.0ms (2.7%)

regimes85.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample572.0ms (12.4%)

Profiling