Details

analyze568.0ms (16.6%)

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 (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	43×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify93.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune3.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (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 (0.2%)

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:

5.0ms

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

series42.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify90.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4833	278
1	4833	278

prune11.0ms (0.3%)

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 210 to 60 computations (71.4% 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 (0.9%)

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))))
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)))

series563.0ms (16.5%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(.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)))
136.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
122.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify80.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5012	2755

prune95.0ms (2.8%)

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 3247 to 563 computations (82.7% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
8×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `cbrt-div_binary64_1133`
4×	`pow1/3_binary64_1183` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075`

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)))

series536.0ms (15.7%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(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)))
131.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))
124.0ms	(cbrt.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)))

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5358	1604

prune102.0ms (3%)

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 3294 to 978 computations (70.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
0.3b	(pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3)
31.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1132`
9×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
6×	`cube-prod_binary64_1129` `unpow-prod-down_binary64_1180`
5×	`add-log-exp_binary64_1140`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `cube-div_binary64_1130` `add-cbrt-cube_binary64_1137`
3×	`flip3-+_binary64_1104` `pow-unpow_binary64_1178` `flip-+_binary64_1075`
2×	`cube-mult_binary64_1131` `unpow3_binary64_1167` `sqr-pow_binary64_1073` `cbrt-div_binary64_1133`
1×	`pow-exp_binary64_1169` `rem-cube-cbrt_binary64_1124` `pow1/3_binary64_1183` `pow-pow_binary64_1173` `sum-log_binary64_1192` `+-commutative_binary64_1031` `pow-to-exp_binary64_1170` `rem-cbrt-cube_binary64_1125`

Counts

3 → 59

Calls

3 calls:

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

series224.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

147.0ms	(pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3)
40.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x.re y.im) (.f64 x.im y.re)) 3))
37.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4997	1534
1	4997	1534

prune47.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

Compiler

Compiled 1065 to 370 computations (65.3% saved)

regimes99.0ms (2.9%)

Compiler: Compiled 783 to 507 computations (35.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample596.0ms (17.5%)

Algorithm

1×

intervals

Results

216.0ms	8000×	body	128	valid
33.0ms	1303×	body	128	invalid

Compiler

Compiled 122 to 82 computations (32.8% saved)

Details

analyze568.0ms (16.6%)

sample17.0ms (0.5%)

simplify93.0ms (2.7%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite5.0ms (0.2%)

series42.0ms (1.2%)

simplify90.0ms (2.6%)

prune11.0ms (0.3%)

localize9.0ms (0.3%)

rewrite32.0ms (0.9%)

series563.0ms (16.5%)

simplify80.0ms (2.4%)

prune95.0ms (2.8%)

localize15.0ms (0.4%)

rewrite22.0ms (0.7%)

series536.0ms (15.7%)

simplify76.0ms (2.2%)

prune102.0ms (3%)

localize8.0ms (0.2%)

rewrite17.0ms (0.5%)

series224.0ms (6.5%)

simplify58.0ms (1.7%)

prune47.0ms (1.4%)

regimes99.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample596.0ms (17.5%)

Profiling