Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.2s (62.9%)

Results

1.0s	1561×	body	1024	valid
790.0ms	5526×	body	128	valid
264.0ms	759×	body	512	valid
103.0ms	404×	body	256	valid
9.0ms	6×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify12.0ms (0.3%)

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 (0.1%)

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

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series18.0ms (0.5%)

Counts

1 → 8

Calls

1 calls:

18.0ms

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

rewrite10.0ms (0.3%)

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:

8.0ms

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

simplify88.0ms (2.5%)

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

prune44.0ms (1.2%)

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
▶	9.7b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (sin.f64 im)) (.f64 (exp.f64 re) (sin.f64 im))) (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 548 to 202 computations (63.1% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.1b	(.f64 (.f64 (.f64 (exp.f64 re) (sin.f64 im)) (.f64 (exp.f64 re) (sin.f64 im))) (*.f64 (exp.f64 re) (sin.f64 im)))
✓	0.1b	(.f64 (.f64 (exp.f64 re) (sin.f64 im)) (*.f64 (exp.f64 re) (sin.f64 im)))
✓	9.8b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (sin.f64 im)) (.f64 (exp.f64 re) (sin.f64 im))) (*.f64 (exp.f64 re) (sin.f64 im))))

series107.0ms (3%)

Counts

3 → 72

Calls

3 calls:

52.0ms

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

40.0ms

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

15.0ms

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

rewrite83.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

197×	`pow1_binary64`
86×	`pow-prod-down_binary64`
65×	`add-cbrt-cube_binary64`
42×	`cbrt-unprod_binary64`
39×	`prod-exp_binary64`

Counts

3 → 126

Calls

3 calls:

28.0ms

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

16.0ms

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

7.0ms

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

simplify213.0ms (6%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
550×	`fma-neg_binary64`
297×	`associate-l_binary64`
285×	`unswap-sqr_binary64`
276×	`associate-r_binary64`

Counts

198 → 150

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	3446
1	483	2194
2	1642	2032
3	4041	2030
4	4856	2030
5	4983	2030

prune297.0ms (8.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	282	2	284

Error

Counts

284 → 2

Alt Table

Status	Error	Program
✓	9.7b	(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 re) (sin.f64 im)) (.f64 (exp.f64 re) (sin.f64 im))) (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 6636 to 1711 computations (74.2% saved)

regimes337.0ms (9.5%)

Accuracy

Total 0.0b remaining (17.3%)

Threshold costs 0.0b (17.3%)

Counts

37 → 1

Compiler

Compiled 2632 to 1815 computations (31% 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

end82.0ms (2.3%)

Compiler: Compiled 41 to 23 computations (43.9% saved)

Details

analyze3.0ms (0.1%)

sample2.2s (62.9%)

simplify12.0ms (0.3%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

series18.0ms (0.5%)

rewrite10.0ms (0.3%)

simplify88.0ms (2.5%)

prune44.0ms (1.2%)

localize14.0ms (0.4%)

series107.0ms (3%)

rewrite83.0ms (2.3%)

simplify213.0ms (6%)

prune297.0ms (8.3%)

regimes337.0ms (9.5%)

simplify4.0ms (0.1%)

end82.0ms (2.3%)

Profiling