Metrics for Data.Number.Erf:$dmerfcx from erf-2.0.0.0

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 9 to 6 computations (33.3% 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-mult, time spent: 0.0ms, 0.0% of total-time

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

sample1.1s (50%)

Results

346.0ms	4168×	256	valid
317.0ms	4088×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

Operation ival-mult, time spent: 147.0ms, 62.0% of total-time

Operation ival-exp, time spent: 81.0ms, 34.0% of total-time

Operation const, time spent: 9.0ms, 4.0% of total-time

Bogosity

preprocess154.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

157×	`fma-define`
55×	`fma-neg`
44×	`exp-prod`
33×	`distribute-lft-neg-in`
32×	`div-sub`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 x (exp.f64 (.f64 y y)))`
-	-	`x`
-	-	`(*.f64 y y)`
-	-	`(exp.f64 (*.f64 y y))`
-	-	`y`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(.f64 x (exp.f64 (.f64 y y)))
(.f64 (neg.f64 x) (exp.f64 (.f64 y y)))
(.f64 x (exp.f64 (.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (.f64 (neg.f64 x) (exp.f64 (.f64 y y))))
(neg.f64 (.f64 x (exp.f64 (.f64 (neg.f64 y) (neg.f64 y)))))
(.f64 y (exp.f64 (.f64 x x)))

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 (neg.f64 x) (exp.f64 (.f64 y y)))
(*.f64 x (neg.f64 (pow.f64 (exp.f64 y) y)))
(*.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))
(.f64 x (exp.f64 (.f64 (neg.f64 y) (neg.f64 y))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(neg.f64 (.f64 (neg.f64 x) (exp.f64 (.f64 y y))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(neg.f64 (.f64 x (exp.f64 (.f64 (neg.f64 y) (neg.f64 y)))))
(*.f64 x (neg.f64 (pow.f64 (exp.f64 y) y)))
(*.f64 (pow.f64 (exp.f64 y) y) (neg.f64 x))
(.f64 y (exp.f64 (.f64 x x)))
(*.f64 y (pow.f64 (exp.f64 x) x))

Symmetry

(abs y)

(negabs x)

Results

26.0ms	272×	256	valid
22.0ms	240×	256	infinite

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-mult, time spent: 12.0ms, 73.0% of total-time

Operation ival-exp, time spent: 4.0ms, 24.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize63.0ms (3%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	100.0%	(exp.f64 (*.f64 y y))

Results

24.0ms	136×	256	valid
23.0ms	120×	256	infinite

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-pow, time spent: 15.0ms, 56.0% of total-time

Operation ival-mult, time spent: 7.0ms, 26.0% of total-time

Operation ival-exp, time spent: 4.0ms, 15.0% of total-time

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

series61.0ms (2.9%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (exp.f64 (*.f64 y y))>
#<alt (.f64 x (exp.f64 (.f64 y y)))>
#<alt (*.f64 x (pow.f64 (exp.f64 y) y))>

Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (exp.f64 (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))>

Calls

15 calls:

Time	Variable		Point	Expression
54.0ms	x	@	0	(* x (pow (exp y) y))
1.0ms	x	@	0	(* x (exp (* y y)))
1.0ms	y	@	0	(* x (exp (* y y)))
1.0ms	y	@	0	(* x (pow (exp y) y))
0.0ms	x	@	inf	(* x (exp (* y y)))

rewrite206.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`unpow-prod-down`
463×	`log1p-expm1-u`
463×	`expm1-log1p-u`
440×	`add-exp-log`
407×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	134	60
2	1366	60

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs
(exp.f64 (*.f64 y y))
(.f64 x (exp.f64 (.f64 y y)))
(*.f64 x (pow.f64 (exp.f64 y) y))

Outputs
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) y))) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) y))) y))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (.f64 y #s(literal 1/2 binary64))))
(.f64 (exp.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 5 binary64)) (.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (exp.f64 y) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))

simplify126.0ms (6%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-neg`
444×	`fma-define`
308×	`unswap-sqr`
301×	`exp-prod`
265×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5243
1	475	5133
2	1102	5071
3	2907	5071
4	4457	5071

Stop Event

1×	node limit

Counts

174 → 158

Calls

Call 1

Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) y))) y) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (cbrt.f64 (exp.f64 (.f64 #s(literal 2 binary64) y))) y))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (.f64 y #s(literal 1/2 binary64))))
(.f64 (exp.f64 (pow.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(.f64 (pow.f64 (exp.f64 y) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) y))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) y) #s(literal 2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 4 binary64)) (.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) y))
(.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 3/2 binary64)) (.f64 y #s(literal 1/2 binary64))) (exp.f64 (pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) #s(literal 5 binary64)) (.f64 y #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) y)) (exp.f64 y))
(/.f64 (pow.f64 (E.f64) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(pow.f64 (exp.f64 y) y)
(pow.f64 (exp.f64 y) (.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (exp.f64 y)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (.f64 y #s(literal 3 binary64))) (.f64 #s(literal 1/3 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 y)) (*.f64 #s(literal 2 binary64) y))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (*.f64 (cbrt.f64 y) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(pow.f64 (E.f64) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) y)) (sqrt.f64 y)) (/.f64 (sqrt.f64 y) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 y) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) y)) (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 5 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 y)) (cbrt.f64 y))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(exp.f64 (fma.f64 y y (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))

Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y y (fma.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 2 binary64))))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y y (fma.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) x)
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) x))) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (pow.f64 y #s(literal 4 binary64)) x))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 y #s(literal 2 binary64))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) x)
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))))))
(+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x) (.f64 #s(literal 1/2 binary64) x))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) x))) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) x)
(fma.f64 (pow.f64 y #s(literal 2 binary64)) x (fma.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) (pow.f64 y #s(literal 4 binary64)) x))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (log.f64 (E.f64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
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(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (fma.f64 y y (log.f64 x)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64)))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (E.f64) (fma.f64 y y (log.f64 x)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y y (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 y y (log.f64 x))))
(pow.f64 (exp.f64 (hypot.f64 y (sqrt.f64 (log.f64 x)))) (hypot.f64 y (sqrt.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (fma.f64 y y (log.f64 x)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (fma.f64 y y (log.f64 x))) #s(literal 1/3 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y y (log.f64 x))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x)

eval47.0ms (2.2%)

Compiler: Compiled 2082 to 1359 computations (34.7% saved)

prune28.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	156	4	160

Accuracy

100.0%

Counts

160 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.8%	(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
✓	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	54.0%	x

Compiler

Compiled 28 to 18 computations (35.7% saved)

localize46.0ms (2.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	88.8%	(*.f64 (pow.f64 y #s(literal 2 binary64)) x)

Results

34.0ms

256×

256

valid

Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-pow, time spent: 9.0ms, 59.0% of total-time

Operation ival-mult, time spent: 4.0ms, 26.0% of total-time

Operation ival-add, time spent: 2.0ms, 13.0% of total-time

Operation const, time spent: 1.0ms, 7.0% of total-time

series3.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) x)>

Outputs
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* (pow y 2) x)
0.0ms	x	@	inf	(* (pow y 2) x)
0.0ms	y	@	inf	(* (pow y 2) x)
0.0ms	x	@	0	(* (pow y 2) x)
0.0ms	x	@	-inf	(* (pow y 2) x)

rewrite64.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

318×	`unpow-prod-down`
309×	`log1p-expm1-u`
309×	`expm1-log1p-u`
294×	`add-exp-log`
282×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	935	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))

simplify104.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

691×	`prod-exp`
582×	`cancel-sign-sub-inv`
431×	`associate--r+`
390×	`distribute-lft-out`
332×	`associate--r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	1205
1	147	1187
2	348	1167
3	1329	1167
4	3038	1167
5	7621	1167

Stop Event

1×	node limit

Counts

47 → 32

Calls

Call 1

Inputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))

Outputs
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (pow.f64 y #s(literal 2 binary64)) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)) #s(literal 3 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 4 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(fabs.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y #s(literal 2 binary64))) x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (log.f64 x)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))

eval11.0ms (0.5%)

Compiler: Compiled 487 to 331 computations (32% saved)

prune7.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	32	4	36

Accuracy

100.0%

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.8%	(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
✓	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	54.0%	x

Compiler

Compiled 50 to 30 computations (40% saved)

regimes10.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 x (pow.f64 (exp.f64 y) y))

Outputs
(*.f64 x (pow.f64 (exp.f64 y) y))

Calls

5 calls:

3.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)
1.0ms	(exp.f64 (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))

Outputs
(.f64 x (exp.f64 (.f64 y y)))

Calls

5 calls:

2.0ms	x
2.0ms	y
1.0ms	(.f64 x (exp.f64 (.f64 y y)))
1.0ms	(exp.f64 (*.f64 y y))
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 x (exp.f64 (.f64 y y)))`
100.0%	1	`(exp.f64 (*.f64 y y))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes1.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
54.0%	1	`x`
54.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	16	56

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (exp.f64 (.f64 y y)))
x

Outputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (exp.f64 (.f64 y y)))
x

soundness65.0ms (3.1%)

Rules

157×	`fma-define`
55×	`fma-neg`
44×	`exp-prod`
33×	`distribute-lft-neg-in`
32×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Stop Event

1×	done
1×	saturated

Compiler

Compiled 29 to 16 computations (44.8% saved)

preprocess47.0ms (2.2%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 190 to 116 computations (38.9% saved)

Data.Number.Erf:$dmerfcx from erf-2.0.0.0

analyze0.0ms (0%)

sample1.1s (50%)

preprocess154.0ms (7.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize63.0ms (3%)

series61.0ms (2.9%)

rewrite206.0ms (9.7%)

simplify126.0ms (6%)

eval47.0ms (2.2%)

prune28.0ms (1.3%)

localize46.0ms (2.2%)

series3.0ms (0.1%)

rewrite64.0ms (3%)

simplify104.0ms (4.9%)

eval11.0ms (0.5%)

prune7.0ms (0.3%)

regimes10.0ms (0.5%)

regimes8.0ms (0.4%)

regimes1.0ms (0.1%)

simplify2.0ms (0.1%)

soundness65.0ms (3.1%)

preprocess47.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190

Iter	Nodes	Cost
0	22	190
1	55	190
2	105	190
3	223	190
4	406	190
5	641	190
6	785	190
7	834	190
8	888	190
9	899	190
10	911	190
11	916	190