Details

analyze660.0ms (22%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	25	98
0	4	4
1	4	4

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)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1140`
1×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `sum-log_binary64_1192` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series46.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify89.0ms (3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4833	278
1	4833	278

prune10.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Error

0.0b

Counts

15 → 2

Compiler

Compiled 200 to 50 computations (75% saved)

localize9.0ms (0.3%)

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))))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite32.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1132`
23×	`add-sqr-sqrt_binary64_1123`
18×	`cbrt-div_binary64_1133`
15×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
11×	`pow1_binary64_1162`
9×	`pow1/3_binary64_1183` `flip3-+_binary64_1104` `flip-+_binary64_1075`
6×	`add-exp-log_binary64_1139` `swap-sqr_binary64_1068` `associate-r_binary64_1041` `associate-l_binary64_1042`
4×	`frac-times_binary64_1111` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
2×	`pow-prod-up_binary64_1171` `associate-r/_binary64_1043` `pow-sqr_binary64_1074` `pow-prod-down_binary64_1172` `associate-l/_binary64_1044`
1×	`pow-plus_binary64_1164` `*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow2_binary64_1182`

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))))
3.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

series577.0ms (19.2%)

Counts

4 → 12

Calls

4 calls:

176.0ms	(.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))))
137.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
134.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
130.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify84.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5012	2755

prune95.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 3230 to 546 computations (83.1% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.6b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
1.6b	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
2.0b	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1123`
8×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
6×	`pow1_binary64_1162` `sqrt-prod_binary64_1117` `cbrt-prod_binary64_1132`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `sqrt-div_binary64_1118` `flip-+_binary64_1075` `cbrt-div_binary64_1133`
2×	`rem-sqrt-square_binary64_1114` `pow1/3_binary64_1183` `sqrt-pow1_binary64_1119` `pow1/2_binary64_1181`

Counts

4 → 56

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
4.0ms	(sqrt.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)))
3.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

series404.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
128.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
72.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
68.0ms	(sqrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5065	1658

prune74.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Error

Counts

71 → 3

Compiler

Compiled 3016 to 397 computations (86.8% saved)

regimes89.0ms (3%)

Accuracy

Total 0.0b remaining (21.5%)

Threshold costs 0.0b (21.5%)

Compiler

Compiled 664 to 388 computations (41.6% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample685.0ms (22.8%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	128	valid
39.0ms	1392×	body	128	invalid

Compiler

Compiled 105 to 65 computations (38.1% saved)

Details

analyze660.0ms (22%)

sample20.0ms (0.7%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite4.0ms (0.1%)

series46.0ms (1.5%)

simplify89.0ms (3%)

prune10.0ms (0.3%)

localize9.0ms (0.3%)

rewrite32.0ms (1.1%)

series577.0ms (19.2%)

simplify84.0ms (2.8%)

prune95.0ms (3.2%)

localize13.0ms (0.4%)

rewrite21.0ms (0.7%)

series404.0ms (13.4%)

simplify70.0ms (2.3%)

prune74.0ms (2.5%)

regimes89.0ms (3%)

bsearch0.0ms (0%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample685.0ms (22.8%)

Profiling