Details

analyze217.0ms (4.9%)

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
74.9%	25%	0.1%	5
74.9%	21.9%	3.2%	6
74.9%	20.3%	4.8%	7
74.9%	18%	7.1%	8
74.9%	16.8%	8.3%	9
74.9%	15.4%	9.7%	10
74.9%	14.7%	10.3%	11
74.9%	14%	11.1%	12
74.9%	13.6%	11.4%	13
74.9%	13.3%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.5s (57.7%)

Results

862.0ms	5794×	body	128	valid
773.0ms	1416×	body	1024	valid
364.0ms	682×	body	1024	invalid
250.0ms	692×	body	512	valid
107.0ms	352×	body	512	invalid
80.0ms	350×	body	256	valid
34.0ms	158×	body	256	invalid
32.0ms	254×	body	128	invalid
4.0ms	4×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (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

prune1.0ms (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)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.2%)

Counts

1 → 8

Calls

1 calls:

9.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 (exp.f64 re) (sin.f64 im))

simplify66.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

963×	`fma-neg_binary64`
601×	`cancel-sign-sub-inv_binary64`
423×	`unswap-sqr_binary64`
355×	`distribute-rgt-neg-in_binary64`
283×	`*-commutative_binary64`

Counts

28 → 44

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	408
1	185	370
2	527	349
3	1418	335
4	2537	333
5	4402	333
6	4955	333

prune24.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Error

Counts

45 → 2

Alt Table

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

Compiler

Compiled 552 to 202 computations (63.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.3b	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series1.0s (23.6%)

Counts

3 → 72

Calls

3 calls:

675.0ms

(*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

357.0ms

(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

8.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

7.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

4.0ms

(*.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

2.0ms

(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

simplify109.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

612×	`fma-def_binary64`
563×	`fma-neg_binary64`
547×	`cancel-sign-sub-inv_binary64`
445×	`*-commutative_binary64`
303×	`unswap-sqr_binary64`

Counts

151 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2551
1	449	2277
2	1424	1944
3	3235	1846
4	4905	1846
5	4988	1846

prune163.0ms (3.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	359	0	359
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	359	2	361

Error

Counts

361 → 2

Alt Table

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

Compiler

Compiled 9228 to 2138 computations (76.8% saved)

regimes147.0ms (3.3%)

Accuracy

Total 0.0b remaining (8.1%)

Threshold costs 0.0b (8.1%)

Counts

32 → 1

Compiler

Compiled 2552 to 1615 computations (36.7% saved)

simplify3.0ms (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

end39.0ms (0.9%)

Compiler: Compiled 43 to 23 computations (46.5% saved)

Details

analyze217.0ms (4.9%)

sample2.5s (57.7%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series9.0ms (0.2%)

rewrite5.0ms (0.1%)

simplify66.0ms (1.5%)

prune24.0ms (0.6%)

localize8.0ms (0.2%)

series1.0s (23.6%)

rewrite18.0ms (0.4%)

simplify109.0ms (2.5%)

prune163.0ms (3.7%)

regimes147.0ms (3.3%)

simplify3.0ms (0.1%)

end39.0ms (0.9%)

Profiling