Details

analyze359.0ms (5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample94.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	41×	body	1024	valid
19.0ms	186×	body	128	valid
10.0ms	18×	body	1024	invalid
5.0ms	14×	body	512	valid
3.0ms	15×	body	256	valid
3.0ms	30×	body	128	invalid
3.0ms	9×	body	512	invalid
1.0ms	4×	body	256	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

series20.0ms (0.3%)

Counts

2 → 12

Calls

2 calls:

16.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(sin.f64 im)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`pow1_binary64`

Counts

2 → 29

Calls

2 calls:

10.0ms	(sin.f64 im)
9.0ms	(*.f64 (exp.f64 re) (sin.f64 im))

simplify200.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

457×	`cancel-sign-sub-inv_binary64`
433×	`unswap-sqr_binary64`
410×	`fma-neg_binary64`
390×	`distribute-rgt-neg-in_binary64`
321×	`sub-neg_binary64`

Counts

41 → 61

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	520
1	215	475
2	618	442
3	1644	430
4	2908	430
5	4235	430
6	4811	430
7	4961	430
8	4998	430
9	4773	430

prune73.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Error

0.0b

Counts

62 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	0.9b	(.f64 (.f64 (exp.f64 re) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (sin.f64 im)))
	22.5b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 735 to 296 computations (59.7% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 re) (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im))))
✓	0.2b	(.f64 (.f64 (exp.f64 re) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (sin.f64 im)))
✓	0.5b	(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
✓	0.6b	(cbrt.f64 (sin.f64 im))

series1.7s (24.1%)

Counts

4 → 72

Calls

4 calls:

920.0ms	(.f64 (exp.f64 re) (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im))))
442.0ms	(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
331.0ms	(cbrt.f64 (sin.f64 im))
18.0ms	(.f64 (.f64 (exp.f64 re) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (sin.f64 im)))

rewrite156.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
22×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`

Counts

4 → 102

Calls

4 calls:

21.0ms	(.f64 (.f64 (exp.f64 re) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (sin.f64 im)))
15.0ms	(.f64 (exp.f64 re) (.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im))))
12.0ms	(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))
2.0ms	(cbrt.f64 (sin.f64 im))

simplify256.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-def_binary64`
575×	`*-commutative_binary64`
496×	`fma-neg_binary64`
447×	`cancel-sign-sub-inv_binary64`
267×	`log-prod_binary64`

Counts

174 → 186

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	195	2489
1	512	2096
2	1633	1948
3	3334	1898
4	4664	1766
5	4776	1764
6	4915	1764
7	4898	1764

prune209.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	233	4	237

Error

Counts

237 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.9b	(.f64 (.f64 (exp.f64 re) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (sin.f64 im)))
▶	10.8b	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
	22.5b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 4543 to 1437 computations (68.4% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
✓	0.3b	(pow.f64 (sin.f64 im) 2)
	0.6b	(cbrt.f64 (sin.f64 im))
✓	15.8b	(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)

series468.0ms (6.6%)

Counts

3 → 32

Calls

3 calls:

442.0ms	(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
18.0ms	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
7.0ms	(pow.f64 (sin.f64 im) 2)

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64`
14×	`unpow-prod-down_binary64`
11×	`prod-exp_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

3 → 74

Calls

3 calls:

18.0ms	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
6.0ms	(pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)
3.0ms	(pow.f64 (sin.f64 im) 2)

simplify152.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-neg_binary64`
416×	`*-commutative_binary64`
326×	`fma-def_binary64`
308×	`cancel-sign-sub-inv_binary64`
208×	`sqr-pow_binary64`

Counts

106 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	1591
1	449	1393
2	1312	1248
3	2683	1234
4	4465	1234
5	4886	1234

prune168.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	155	4	159

Error

Counts

159 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.9b	(.f64 (.f64 (exp.f64 re) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (sin.f64 im)))
✓	10.8b	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
▶	22.5b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 2873 to 1528 computations (46.8% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 im)
✓	0.0b	(fma.f64 (sin.f64 im) re (sin.f64 im))

series16.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

16.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma.f64 (sin.f64 im) re (sin.f64 im))

simplify74.0ms (1%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-neg_binary64`
597×	`distribute-rgt-neg-in_binary64`
570×	`associate-l_binary64`
393×	`associate-r_binary64`
361×	`fma-def_binary64`

Counts

34 → 29

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	431
1	144	395
2	488	378
3	1897	370
4	4265	370
5	4975	370

prune62.0ms (0.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	63	4	67

Error

Counts

67 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.9b	(.f64 (.f64 (exp.f64 re) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (sin.f64 im)))) (cbrt.f64 (sin.f64 im)))
✓	10.8b	(.f64 (.f64 (exp.f64 re) (pow.f64 (pow.f64 (sin.f64 im) 2) 1/3)) (cbrt.f64 (sin.f64 im)))
✓	22.5b	(fma.f64 (sin.f64 im) re (sin.f64 im))

Compiler

Compiled 818 to 393 computations (52% saved)

regimes228.0ms (3.2%)

Accuracy

Total 0.0b remaining (54.2%)

Threshold costs 0.0b (54.2%)

Counts

28 → 1

Compiler

Compiled 1692 to 1045 computations (38.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end2.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample2.7s (38.3%)

Algorithm

1×

intervals

Results

838.0ms	1321×	body	1024	valid
529.0ms	5719×	body	128	valid
334.0ms	670×	body	1024	invalid
188.0ms	645×	body	512	valid
84.0ms	318×	body	512	invalid
80.0ms	844×	body	128	invalid
58.0ms	313×	body	256	valid
28.0ms	158×	body	256	invalid
3.0ms	2×	body	2048	valid

Compiler

Compiled 63 to 41 computations (34.9% saved)

Details

analyze359.0ms (5%)

sample94.0ms (1.3%)

simplify18.0ms (0.2%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series20.0ms (0.3%)

rewrite21.0ms (0.3%)

simplify200.0ms (2.8%)

prune73.0ms (1%)

localize15.0ms (0.2%)

series1.7s (24.1%)

rewrite156.0ms (2.2%)

simplify256.0ms (3.6%)

prune209.0ms (2.9%)

localize25.0ms (0.4%)

series468.0ms (6.6%)

rewrite34.0ms (0.5%)

simplify152.0ms (2.1%)

prune168.0ms (2.4%)

localize8.0ms (0.1%)

series16.0ms (0.2%)

rewrite1.0ms (0%)

simplify74.0ms (1%)

prune62.0ms (0.9%)

regimes228.0ms (3.2%)

simplify4.0ms (0.1%)

end2.0ms (0%)

sample2.7s (38.3%)

Profiling