Details

analyze1.0ms (0%)

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)

sample1.5s (54.2%)

Infinites

25.3% of outputs are infinite.

Results

671.0ms	1619×	body	1024	valid
523.0ms	5496×	body	128	valid
221.0ms	760×	body	512	valid
62.0ms	378×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (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))

series8.0ms (0.3%)

Counts

1 → 8

Calls

1 calls:

8.0ms

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

rewrite5.0ms (0.2%)

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))

simplify77.0ms (2.7%)

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

prune21.0ms (0.8%)

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

Compiler

Compiled 540 to 202 computations (62.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series750.0ms (26.5%)

Counts

4 → 72

Calls

4 calls:

326.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im))
248.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
167.0ms	(cbrt.f64 (exp.f64 re))
8.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
23×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 (.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
5.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re)))
4.0ms	(*.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im))
1.0ms	(cbrt.f64 (exp.f64 re))

simplify138.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def_binary64`
481×	`*-commutative_binary64`
456×	`fma-neg_binary64`
378×	`cancel-sign-sub-inv_binary64`
253×	`distribute-rgt-in_binary64`

Counts

175 → 187

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	170	2286
1	410	2058
2	1289	1888
3	2753	1776
4	4609	1752
5	4963	1752
6	4917	1752

prune137.0ms (4.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	235	2	237

Error

Counts

237 → 2

Alt Table

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

Compiler

Compiled 4459 to 1122 computations (74.8% saved)

regimes74.0ms (2.6%)

Accuracy

Total 0.0b remaining (9%)

Threshold costs 0.0b (9%)

Counts

16 → 1

Compiler

Compiled 1027 to 720 computations (29.9% saved)

simplify2.0ms (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

end38.0ms (1.3%)

Compiler: Compiled 37 to 23 computations (37.8% saved)

Details

analyze1.0ms (0%)

sample1.5s (54.2%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series8.0ms (0.3%)

rewrite5.0ms (0.2%)

simplify77.0ms (2.7%)

prune21.0ms (0.8%)

localize8.0ms (0.3%)

series750.0ms (26.5%)

rewrite26.0ms (0.9%)

simplify138.0ms (4.9%)

prune137.0ms (4.8%)

regimes74.0ms (2.6%)

simplify2.0ms (0.1%)

end38.0ms (1.3%)

Profiling