Details

analyze547.0ms (11.4%)

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 (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
6.0ms	41×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify166.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	160	14
1	160	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.re) (.f64 x.im y.im))

rewrite5.0ms (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` `flip3--_binary64_1092` `sub-neg_binary64_1081` `flip--_binary64_1063` `add-exp-log_binary64_1123` `diff-log_binary64_1177` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series80.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

80.0ms

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

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	6201	286

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 211 to 60 computations (71.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
2.6b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
2.6b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
2.6b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite34.0ms (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×	`flip3--_binary64_1092` `flip--_binary64_1063` `pow1/3_binary64_1167`
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.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

series1.1s (23.3%)

Counts

4 → 12

Calls

4 calls:

326.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im))) (cbrt.f64 (-.f64 (.f64 x.re y.re) (*.f64 x.im y.im))))
267.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
261.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
260.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4933	2776
1	4933	2776

prune95.0ms (2%)

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 3254 to 564 computations (82.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.6b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
2.6b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
2.6b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
2.6b	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

rewrite23.0ms (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` `flip3--_binary64_1092` `flip--_binary64_1063` `add-exp-log_binary64_1123` `pow1/3_binary64_1167` `add-log-exp_binary64_1124` `pow1_binary64_1146`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
4.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

series1.0s (21.8%)

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
259.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
259.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))
253.0ms	(cbrt.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)))

simplify106.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4886	1628
1	4886	1628

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 2986 to 539 computations (81.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))
0.2b	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
35.5b	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1116`
9×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
6×	`cube-prod_binary64_1113` `unpow-prod-down_binary64_1164`
5×	`add-log-exp_binary64_1124`
4×	`add-cbrt-cube_binary64_1121` `cube-div_binary64_1114` `add-exp-log_binary64_1123` `pow1_binary64_1146`
3×	`flip3--_binary64_1092` `flip--_binary64_1063` `pow-unpow_binary64_1162`
2×	`unpow3_binary64_1151` `sqr-pow_binary64_1060` `cube-mult_binary64_1115` `cbrt-div_binary64_1117`
1×	`rem-cube-cbrt_binary64_1110` `sub-neg_binary64_1081` `rem-cbrt-cube_binary64_1111` `pow-exp_binary64_1153` `pow-pow_binary64_1157` `diff-log_binary64_1177` `pow-to-exp_binary64_1154` `pow1/3_binary64_1167`

Counts

3 → 59

Calls

3 calls:

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

series471.0ms (9.8%)

Counts

3 → 9

Calls

3 calls:

308.0ms	(pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3)
89.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) 3))
74.0ms	(-.f64 (.f64 x.re y.re) (.f64 x.im y.im))

simplify55.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5244	1542

prune47.0ms (1%)

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 1066 to 370 computations (65.3% saved)

regimes85.0ms (1.8%)

Compiler: Compiled 608 to 360 computations (40.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	14
1	38	14

end0.0ms (0%)

sample586.0ms (12.3%)

Algorithm

1×

intervals

Results

218.0ms	8000×	body	128	valid
37.0ms	1339×	body	128	invalid

Compiler

Compiled 97 to 61 computations (37.1% saved)

Details

analyze547.0ms (11.4%)

sample22.0ms (0.5%)

simplify166.0ms (3.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series80.0ms (1.7%)

simplify66.0ms (1.4%)

prune11.0ms (0.2%)

localize9.0ms (0.2%)

rewrite34.0ms (0.7%)

series1.1s (23.3%)

simplify79.0ms (1.7%)

prune95.0ms (2%)

localize16.0ms (0.3%)

rewrite23.0ms (0.5%)

series1.0s (21.8%)

simplify106.0ms (2.2%)

prune85.0ms (1.8%)

localize9.0ms (0.2%)

rewrite18.0ms (0.4%)

series471.0ms (9.8%)

simplify55.0ms (1.1%)

prune47.0ms (1%)

regimes85.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample586.0ms (12.3%)

Profiling