Metrics for math.exp on complex, imaginary part

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.8s (84.7%)

Results

691.0ms	4659×	body	256	valid
400.0ms	1090×	body	1024	valid
359.0ms	521×	body	512	valid
156.0ms	1245×	body	256	infinite
134.0ms	489×	body	1024	infinite
45.0ms	248×	body	512	infinite
2.0ms	4×	body	2048	valid

Bogosity

preprocess177.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

1808×	`div-sub`
1328×	`times-frac`
1324×	`unswap-sqr`
1258×	`fma-def`
710×	`sub-neg`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	46	161
2	82	155
3	158	155
4	341	155
5	809	155
6	2182	155
7	5145	155
8	6837	155

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 (neg.f64 re)) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 (neg.f64 re)))
(/.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 (neg.f64 im)))
(*.f64 (exp.f64 re) (neg.f64 (sin.f64 im)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 re)) (sin.f64 im)))
(*.f64 (exp.f64 (neg.f64 re)) (neg.f64 (sin.f64 im)))
(*.f64 (sin.f64 im) (/.f64 -1 (exp.f64 re)))
(neg.f64 (/.f64 (sin.f64 im) (exp.f64 re)))
(/.f64 (neg.f64 (sin.f64 im)) (exp.f64 re))
(/.f64 (sin.f64 im) (neg.f64 (exp.f64 re)))
(neg.f64 (*.f64 (exp.f64 re) (sin.f64 (neg.f64 im))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))

Symmetry

(negabs im)

Compiler

Compiled 21 to 11 computations (47.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))
▶	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize121.0ms (5.7%)

Compiler: Compiled 14 to 6 computations (57.1% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	12	21

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess23.0ms (1.1%)

Remove: (negabs im)
Compiler: Compiled 42 to 30 computations (28.6% saved)

analyze0.0ms (0%)

sample1.8s (84.7%)

preprocess177.0ms (8.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize121.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify1.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess23.0ms (1.1%)

Profiling