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

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

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

const: 0.0ms (0% of total)

sample708.0ms (37.8%)

Results

457.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 133.0ms (65.3% of total)

ival-exp: 60.0ms (29.5% of total)

const: 7.0ms (3.4% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess94.0ms (5%)

Algorithm

1×	egg-herbie

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×

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)

explain53.0ms (2.8%)

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`

Results

32.0ms

512×

256

valid

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (66.3% of total)

ival-exp: 3.0ms (24.9% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize23.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Results

17.0ms

256×

256

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (60.7% of total)

ival-exp: 3.0ms (45.5% of total)

const: 0.0ms (0% of total)

series6.0ms (0.3%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<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

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(* x (exp (* y y)))
1.0ms	x	@	-inf	(* x (exp (* y y)))
1.0ms	x	@	0	(* x (exp (* y y)))
1.0ms	y	@	inf	(* x (exp (* y y)))
0.0ms	y	@	0	(* x (exp (* y y)))

rewrite190.0ms (10.1%)

Algorithm

1×	batch-egg-rewrite

Rules

394×	`unpow-prod-down`
375×	`log1p-expm1-u`
375×	`expm1-log1p-u`
357×	`add-exp-log`
342×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	103	23
2	1101	23

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (log.f64 (cbrt.f64 (pow.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)))

simplify69.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-define`
846×	`prod-exp`
811×	`distribute-lft-in`
707×	`distribute-rgt-in`
232×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1265
1	175	1245
2	471	1240
3	1693	1231
4	6441	1231

Stop Event

1×	node limit

Counts

45 → 38

Calls

Call 1

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

eval12.0ms (0.7%)

Compiler: Compiled 447 to 291 computations (34.9% saved)

prune7.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Accuracy

100.0%

Counts

39 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	79.2%	(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	48.1%	x

Compiler

Compiled 31 to 22 computations (29% saved)

localize93.0ms (5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
✓	99.7%	(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	100.0%	(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	89.4%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))

Results

72.0ms

256×

256

valid

Compiler

Compiled 54 to 35 computations (35.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-pow: 28.0ms (56.2% of total)

ival-mult: 8.0ms (16.1% of total)

ival-exp: 7.0ms (14.1% of total)

ival-sqrt: 4.0ms (8% of total)

const: 2.0ms (4% of total)

ival-add: 1.0ms (2% of total)

series10.0ms (0.6%)

Counts

4 → 49

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite112.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`prod-diff`
765×	`log1p-expm1-u`
765×	`expm1-log1p-u`
428×	`log-prod`
270×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	93
1	199	89
2	2252	89

Stop Event

1×	node limit

Counts

4 → 128

Calls

Call 1

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

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

simplify126.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

926×	`fma-define`
782×	`fma-neg`
295×	`exp-prod`
272×	`times-frac`
270×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	282	5642
1	598	5550
2	1683	5349
3	6352	5343

Stop Event

1×	node limit

Counts

177 → 142

Calls

Call 1

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

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

eval33.0ms (1.8%)

Compiler: Compiled 1885 to 1290 computations (31.6% saved)

prune21.0ms (1.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	141	5	146

Accuracy

100.0%

Counts

146 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.0%	(fma.f64 (*.f64 x y) y x)
✓	99.7%	(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	35.3%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	48.1%	x

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize37.0ms (2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
	89.4%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))

Results

27.0ms

256×

256

valid

Compiler

Compiled 25 to 11 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.5% of total)

ival-pow: 6.0ms (31.5% of total)

<compiled-spec>: 5.0ms (26.2% of total)

ival-add: 1.0ms (5.2% of total)

const: 1.0ms (5.2% of total)

series3.0ms (0.2%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (* (* x y) y) x)
0.0ms	x	@	0	(+ (* (* x y) y) x)
0.0ms	x	@	-inf	(+ (* (* x y) y) x)
0.0ms	y	@	-inf	(+ (* (* x y) y) x)
0.0ms	x	@	inf	(+ (* (* x y) y) x)

rewrite68.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

358×	`log1p-expm1-u`
358×	`expm1-log1p-u`
342×	`add-exp-log`
329×	`add-log-exp`
328×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	87	27
2	981	24

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)

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

simplify109.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

440×	`prod-exp`
393×	`associate-+r+`
380×	`associate-+l+`
319×	`associate-/l*`
289×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	2186
1	230	2085
2	635	2062
3	3082	2055
4	7501	2055

Stop Event

1×	node limit

Counts

64 → 62

Calls

Call 1

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

Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
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(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (log.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (pow.f64 y #s(literal 2 binary64)) x))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)

eval19.0ms (1%)

Compiler: Compiled 1089 to 747 computations (31.4% saved)

prune14.0ms (0.7%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	82	5	87

Accuracy

100.0%

Counts

87 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.0%	(fma.f64 (*.f64 x y) y x)
✓	99.7%	(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	35.3%	(*.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	48.1%	x

Compiler

Compiled 73 to 46 computations (37% saved)

regimes10.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

regimes5.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
54.0%	7	`x`
79.0%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
48.1%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch13.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.3330803351370446	186.18083074336045

Results

7.0ms

128×

valid

Compiler

Compiled 109 to 81 computations (25.7% saved)

Precisions

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

ival-mult: 2.0ms (59.7% of total)

ival-exp: 1.0ms (29.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
1	27	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (exp.f64 (.f64 y y)))
(if (<=.f64 y #s(literal 1 binary64)) x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
x

Outputs
(.f64 x (exp.f64 (.f64 y y)))
(if (<=.f64 y #s(literal 1 binary64)) x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
x

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 19 to 11 computations (42.1% saved)

preprocess37.0ms (2%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 166 to 102 computations (38.6% saved)

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

analyze0.0ms (0%)

sample708.0ms (37.8%)

preprocess94.0ms (5%)

explain53.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize23.0ms (1.2%)

series6.0ms (0.3%)

rewrite190.0ms (10.1%)

simplify69.0ms (3.7%)

eval12.0ms (0.7%)

prune7.0ms (0.4%)

localize93.0ms (5%)

series10.0ms (0.6%)

rewrite112.0ms (6%)

simplify126.0ms (6.7%)

eval33.0ms (1.8%)

prune21.0ms (1.1%)

localize37.0ms (2%)

series3.0ms (0.2%)

rewrite68.0ms (3.6%)

simplify109.0ms (5.8%)

eval19.0ms (1%)

prune14.0ms (0.7%)

regimes10.0ms (0.5%)

regimes5.0ms (0.2%)

regimes1.0ms (0%)

bsearch13.0ms (0.7%)

simplify3.0ms (0.1%)

soundness1.0ms (0%)

preprocess37.0ms (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