Metrics for math.exp on complex, real 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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-cos, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.8s (85.5%)

Results

1.3s	6191×	0	valid
442.0ms	2064×	0	infinite
1.0ms	2×	5	exit
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 838.0ms

Operation ival-cos, time spent: 633.0ms, 76.0% of total-time

Operation ival-exp, time spent: 128.0ms, 15.0% of total-time

Operation ival-mult, time spent: 65.0ms, 8.0% of total-time

Operation const, time spent: 8.0ms, 1.0% of total-time

Operation backward-pass, time spent: 4.0ms, 0.0% of total-time

Bogosity

preprocess234.0ms (11.3%)

Algorithm

1×	egg-herbie

Rules

2652×	`fma-define`
1564×	`fma-neg`
1240×	`unswap-sqr`
682×	`distribute-rgt-neg-in`
666×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(exp.f64 re)`
-	-	`im`
-	-	`re`
-	-	`(cos.f64 im)`
-	-	`(*.f64 (exp.f64 re) (cos.f64 im))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	45	161
2	81	155
3	121	155
4	224	155
5	461	155
6	1054	155
7	1747	155
8	3008	155
9	3951	155
10	5487	155
11	7867	155

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs im)

Compiler

Compiled 35 to 17 computations (51.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

Operation ival-cos, time spent: 12.0ms, 59.0% of total-time

Operation ival-exp, time spent: 4.0ms, 20.0% of total-time

Operation ival-mult, time spent: 4.0ms, 20.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

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) (cos.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize38.0ms (1.8%)

Compiler: Compiled 14 to 6 computations (57.1% saved)
Precisions: Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-cos, time spent: 6.0ms, 58.0% of total-time
Operation ival-mult, time spent: 2.0ms, 19.0% of total-time
Operation ival-exp, time spent: 2.0ms, 19.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

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) (cos.f64 im))

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify2.0ms (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) (cos.f64 im))

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (1.2%)

Remove: (abs im)
Compiler: Compiled 56 to 40 computations (28.6% saved)

analyze0.0ms (0%)

sample1.8s (85.5%)

preprocess234.0ms (11.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize38.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (1.2%)

Profiling