Details

analyze561.0ms (10.5%)

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

Compiler

Compiled 8 to 8 computations (0% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	50×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify161.0ms (3%)

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)

localize6.0ms (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))

series83.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4964	278
1	4964	278

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	3	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

Compiler

Compiled 233 to 71 computations (69.5% saved)

localize10.0ms (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))))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite38.0ms (0.7%)

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:

13.0ms	(.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)))

series1.0s (18.9%)

Counts

4 → 12

Calls

4 calls:

300.0ms	(.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))))
236.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
235.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
234.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5205	2755

prune102.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	99	4	103

Merged error: 0.0b

Counts

103 → 4

Compiler

Compiled 3276 to 568 computations (82.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite24.0ms (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:

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)))

series906.0ms (17%)

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
227.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
226.0ms	(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)))

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5375	1604

prune103.0ms (1.9%)

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 3323 to 983 computations (70.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.2b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite23.0ms (0.4%)

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:

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)))

series913.0ms (17.2%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
228.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
227.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
219.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5375	1604

prune83.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

Compiler

Compiled 2964 to 531 computations (82.1% saved)

regimes206.0ms (3.9%)

Compiler: Compiled 2771 to 1242 computations (55.2% 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%)

sample722.0ms (13.6%)

Algorithm

1×

intervals

Results

206.0ms	8000×	body	128	valid
39.0ms	1338×	body	128	invalid

Compiler

Compiled 406 to 187 computations (53.9% saved)

Details

analyze561.0ms (10.5%)

sample22.0ms (0.4%)

simplify161.0ms (3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite6.0ms (0.1%)

series83.0ms (1.6%)

simplify74.0ms (1.4%)

prune12.0ms (0.2%)

localize10.0ms (0.2%)

rewrite38.0ms (0.7%)

series1.0s (18.9%)

simplify74.0ms (1.4%)

prune102.0ms (1.9%)

localize16.0ms (0.3%)

rewrite24.0ms (0.5%)

series906.0ms (17%)

simplify74.0ms (1.4%)

prune103.0ms (1.9%)

localize16.0ms (0.3%)

rewrite23.0ms (0.4%)

series913.0ms (17.2%)

simplify77.0ms (1.5%)

prune83.0ms (1.6%)

regimes206.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample722.0ms (13.6%)

Profiling