Details

analyze558.0ms (11%)

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 (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	50×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify159.0ms (3.1%)

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)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1150`
1×	`add-cbrt-cube_binary64_1147` `*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `flip-+_binary64_1085` `add-cube-cbrt_binary64_1146` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `pow1_binary64_1172` `sum-log_binary64_1202` `add-exp-log_binary64_1149`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series68.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

68.0ms

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

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4833	278
1	4833	278

prune23.0ms (0.5%)

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 426 to 196 computations (54% saved)

localize12.0ms (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)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1142`
23×	`add-sqr-sqrt_binary64_1133`
18×	`cbrt-div_binary64_1143`
15×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
11×	`pow1_binary64_1172`
9×	`pow1/3_binary64_1193` `flip-+_binary64_1085` `flip3-+_binary64_1114`
6×	`associate-r_binary64_1051` `swap-sqr_binary64_1078` `associate-l_binary64_1052` `add-exp-log_binary64_1149`
4×	`add-cbrt-cube_binary64_1147` `frac-times_binary64_1121` `unswap-sqr_binary64_1079` `add-log-exp_binary64_1150`
2×	`pow-prod-up_binary64_1181` `associate-l/_binary64_1054` `pow-sqr_binary64_1084` `pow-prod-down_binary64_1182` `associate-r/_binary64_1053`
1×	`*-commutative_binary64_1042` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-plus_binary64_1174` `pow2_binary64_1192`

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)))

series979.0ms (19.4%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(.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))))
237.0ms	(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)))
219.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5012	2755

prune130.0ms (2.6%)

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 4056 to 925 computations (77.2% saved)

localize15.0ms (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_1142`
8×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146` `cbrt-div_binary64_1143`
4×	`add-cbrt-cube_binary64_1147` `pow1/3_binary64_1193` `flip-+_binary64_1085` `flip3-+_binary64_1114` `add-log-exp_binary64_1150` `pow1_binary64_1172` `add-exp-log_binary64_1149`

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)))

series882.0ms (17.4%)

Counts

4 → 12

Calls

4 calls:

235.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
217.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
216.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
214.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5358	1604

prune104.0ms (2.1%)

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)

localize15.0ms (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 (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1142`
8×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146` `cbrt-div_binary64_1143`
4×	`add-cbrt-cube_binary64_1147` `pow1/3_binary64_1193` `flip-+_binary64_1085` `flip3-+_binary64_1114` `add-log-exp_binary64_1150` `pow1_binary64_1172` `add-exp-log_binary64_1149`

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)))

series910.0ms (18%)

Counts

4 → 12

Calls

4 calls:

234.0ms	(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)))
222.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify75.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5358	1604

prune95.0ms (1.9%)

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 3327 to 673 computations (79.8% saved)

regimes93.0ms (1.8%)

Compiler: Compiled 993 to 451 computations (54.6% 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%)

sample581.0ms (11.5%)

Algorithm

1×

intervals

Results

206.0ms	8000×	body	128	valid
38.0ms	1338×	body	128	invalid

Compiler

Compiled 152 to 74 computations (51.3% saved)

Details

analyze558.0ms (11%)

sample17.0ms (0.3%)

simplify159.0ms (3.1%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite5.0ms (0.1%)

series68.0ms (1.4%)

simplify87.0ms (1.7%)

prune23.0ms (0.5%)

localize12.0ms (0.2%)

rewrite35.0ms (0.7%)

series979.0ms (19.4%)

simplify80.0ms (1.6%)

prune130.0ms (2.6%)

localize15.0ms (0.3%)

rewrite24.0ms (0.5%)

series882.0ms (17.4%)

simplify74.0ms (1.5%)

prune104.0ms (2.1%)

localize15.0ms (0.3%)

rewrite23.0ms (0.5%)

series910.0ms (18%)

simplify75.0ms (1.5%)

prune95.0ms (1.9%)

regimes93.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample581.0ms (11.5%)

Profiling