Metrics for math.square on complex, imaginary part

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

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 9 to 7 computations (22.2% saved)

sample713.0ms (49.2%)

Memory

25.5MiB live, 832.0MiB allocated

Samples

390.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-mult: 115.0ms (70.8% of total)

ival-add: 39.0ms (24% of total)

ival-true: 5.0ms (3.1% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

preprocess56.0ms (3.9%)

Memory

1.3MiB live, 75.2MiB allocated

Algorithm

1×	egg-herbie

Rules

223×	`fma-define`
93×	`fmm-def`
34×	`distribute-lft-neg-in`
32×	`associate-r`
27×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	205
1	50	141
2	92	133
3	239	133
4	468	133
5	721	133
6	723	133

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 re im) (.f64 im re))
(+.f64 (.f64 re im) (.f64 im re))
(+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re)))
(+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.f64 im) re))
(neg.f64 (+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re))))
(neg.f64 (+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.f64 im) re)))
(+.f64 (.f64 im re) (.f64 re im))

Outputs
(+.f64 (.f64 re im) (.f64 im re))
(fma.f64 re im (*.f64 re im))
(.f64 #s(literal 2 binary64) (.f64 re im))
(.f64 re (.f64 #s(literal 2 binary64) im))
(.f64 re (.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 re im) (.f64 im re))
(fma.f64 re im (*.f64 re im))
(.f64 #s(literal 2 binary64) (.f64 re im))
(.f64 re (.f64 #s(literal 2 binary64) im))
(.f64 re (.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re)))
(fma.f64 re (neg.f64 im) (*.f64 re (neg.f64 im)))
(.f64 #s(literal 2 binary64) (.f64 re (neg.f64 im)))
(.f64 im (.f64 re #s(literal -2 binary64)))
(+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.f64 im) re))
(fma.f64 re (neg.f64 im) (*.f64 re (neg.f64 im)))
(.f64 #s(literal 2 binary64) (.f64 re (neg.f64 im)))
(.f64 im (.f64 re #s(literal -2 binary64)))
(neg.f64 (+.f64 (.f64 (neg.f64 re) im) (.f64 im (neg.f64 re))))
(fma.f64 re im (*.f64 re im))
(.f64 #s(literal 2 binary64) (.f64 re im))
(.f64 re (.f64 #s(literal 2 binary64) im))
(.f64 re (.f64 im #s(literal 2 binary64)))
(neg.f64 (+.f64 (.f64 re (neg.f64 im)) (.f64 (neg.f64 im) re)))
(fma.f64 re im (*.f64 re im))
(.f64 #s(literal 2 binary64) (.f64 re im))
(.f64 re (.f64 #s(literal 2 binary64) im))
(.f64 re (.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 im re) (.f64 re im))
(fma.f64 re im (*.f64 re im))
(.f64 #s(literal 2 binary64) (.f64 re im))
(.f64 re (.f64 #s(literal 2 binary64) im))
(.f64 re (.f64 im #s(literal 2 binary64)))

Symmetry

(negabs re)

(negabs im)

(sort re im)

explain66.0ms (4.6%)

Memory

28.5MiB live, 142.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 im re)`
-	-	`(+.f64 (.f64 re im) (.f64 im re))`
-	-	`(*.f64 re im)`
-	-	`re`
-	-	`im`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

28.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (64.2% of total)

ival-add: 2.0ms (21.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval1.0ms (0%)

Memory: 1.5MiB live, 1.5MiB allocated
Compiler: Compiled 23 to 10 computations (56.5% saved)

prune1.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 re (.f64 im #s(literal 2 binary64)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.6%)

Memory

-30.8MiB live, 6.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(.f64 re (.f64 im #s(literal 2 binary64)))

Rules

5×	`*-commutative`
3×	`associate-r`
3×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	14	38
2	21	38
3	23	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 re (.f64 im #s(literal 2 binary64)))
re
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)

Outputs
(.f64 re (.f64 im #s(literal 2 binary64)))
re
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)

localize14.0ms (1%)

Memory

32.9MiB live, 32.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 re (.f64 im #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 im #s(literal 2 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 3.0ms (92.2% of total)

ival-true: 0.0ms (0% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.8%)

Memory

-32.2MiB live, 11.4MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())
#s(alt (*.f64 im #s(literal 2 binary64)) (patch) () ())

Outputs
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf re) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () 0 im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 im re)) (taylor () -inf im) (#s(alt (.f64 re (.f64 im #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () 0 im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () 0 im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () 0 im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () 0 im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () -inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () -inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () -inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (.f64 #s(literal 2 binary64) im) (taylor () -inf im) (#s(alt (.f64 im #s(literal 2 binary64)) (patch) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	im	@	0	(* re (* im 2))
1.0ms	re	@	inf	(* re (* im 2))
1.0ms	re	@	0	(* re (* im 2))
1.0ms	im	@	inf	(* re (* im 2))
0.0ms	im	@	-inf	(* re (* im 2))

rewrite394.0ms (27.2%)

Memory

8.1MiB live, 257.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

399×	`unpow-prod-down`
363×	`log1p-expm1-u`
363×	`expm1-log1p-u`
347×	`add-exp-log`
334×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	88	29
2	1012	29

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(.f64 re (.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))

Outputs
(+.f64 (.f64 re im) (.f64 re im))
(+.f64 #s(literal 0 binary64) (.f64 re (.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))
(cbrt.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 re (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 re (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 im im)
(+.f64 #s(literal 0 binary64) (*.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 im #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 im #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))

simplify86.0ms (6%)

Memory

-19.3MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Rules

609×	`prod-exp`
464×	`fmm-def`
412×	`associate-r`
369×	`associate-l`
343×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1507
1	218	1501
2	521	1495
3	2908	1495
4	5514	1495

Stop Event

1×	node limit

Counts

80 → 58

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(+.f64 (.f64 re im) (.f64 re im))
(+.f64 #s(literal 0 binary64) (.f64 re (.f64 im #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))))
(sqrt.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))
(cbrt.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 re (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 re (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 im im)
(+.f64 #s(literal 0 binary64) (*.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 im #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 im #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))

Outputs
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(*.f64 #s(literal 2 binary64) im)
(+.f64 (.f64 re im) (.f64 re im))
(.f64 #s(literal 2 binary64) (.f64 im re))
(+.f64 #s(literal 0 binary64) (.f64 re (.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 im re))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) (*.f64 #s(literal 2 binary64) im)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (*.f64 #s(literal 2 binary64) re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) (.f64 #s(literal 2 binary64) im)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (pow.f64 (exp.f64 re) im))))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 im re))
(pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 im re))
(pow.f64 (cbrt.f64 (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(.f64 #s(literal 2 binary64) (.f64 im re))
(pow.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 im re))
(pow.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 #s(literal 2 binary64) (.f64 im re))
(pow.f64 (sqrt.f64 (.f64 re (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 im re))
(pow.f64 (E.f64) (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 im re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 im re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 im re))))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 im re)))))
(sqrt.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 im re))
(log.f64 (pow.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)) re))
(.f64 #s(literal 2 binary64) (.f64 im re))
(cbrt.f64 (pow.f64 (.f64 re (.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 im re))
(expm1.f64 (log1p.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 im re))
(log1p.f64 (expm1.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 im re))
(exp.f64 (log.f64 (.f64 re (.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 im re))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 re (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 im re))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (.f64 re (.f64 im #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 im re))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 re (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 im re))
(+.f64 im im)
(*.f64 #s(literal 2 binary64) im)
(+.f64 #s(literal 0 binary64) (*.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) im)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) im))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 im))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) im)
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) im)
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) im)
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) im)
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) im)
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) im)
(pow.f64 (E.f64) (log.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) im)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 im #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 im #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) im)))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) im)
(log.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) im)
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 #s(literal 2 binary64) im)
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) im)
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) im)
(exp.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) im)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) im)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 2 binary64) im)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) im)

eval7.0ms (0.5%)

Memory: 18.2MiB live, 18.2MiB allocated
Compiler: Compiled 591 to 189 computations (68% saved)

prune18.0ms (1.3%)

Memory

-14.9MiB live, 24.5MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	1	59

Accuracy

100.0%

Counts

59 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 re (.f64 im #s(literal 2 binary64)))

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes5.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB allocated

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 re (.f64 im #s(literal 2 binary64)))
(+.f64 (.f64 re im) (.f64 im re))

Outputs
(.f64 re (.f64 im #s(literal 2 binary64)))

Calls

3 calls:

2.0ms	(+.f64 (.f64 re im) (.f64 im re))
1.0ms	im
1.0ms	re

Results

Accuracy	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(+.f64 (.f64 re im) (.f64 im re))`

Compiler

Compiled 15 to 9 computations (40% saved)

simplify2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	12	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 re (.f64 im #s(literal 2 binary64)))

Outputs
(.f64 re (.f64 im #s(literal 2 binary64)))

soundness40.0ms (2.7%)

Memory

8.3MiB live, 47.8MiB allocated

Rules

223×	`fma-define`
93×	`fmm-def`
34×	`distribute-lft-neg-in`
32×	`associate-r`
27×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	205
1	50	141
2	92	133
3	239	133
4	468	133
5	721	133
6	723	133

Stop Event

1×	done
1×	saturated

Compiler

Compiled 43 to 17 computations (60.5% saved)

preprocess25.0ms (1.7%)

Memory

-21.5MiB live, 57.9MiB allocated

Remove

(sort re im)

(negabs im)

(negabs re)

Compiler

Compiled 116 to 80 computations (31% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample713.0ms (49.2%)

preprocess56.0ms (3.9%)

explain66.0ms (4.6%)

eval1.0ms (0%)

prune1.0ms (0.1%)

simplify9.0ms (0.6%)

localize14.0ms (1%)

series11.0ms (0.8%)

rewrite394.0ms (27.2%)

simplify86.0ms (6%)

eval7.0ms (0.5%)

prune18.0ms (1.3%)

regimes5.0ms (0.3%)

simplify2.0ms (0.1%)

soundness40.0ms (2.7%)

preprocess25.0ms (1.7%)

end0.0ms (0%)

Profiling