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)

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

sample736.0ms (22.3%)

Results

417.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 145.0ms (67.8% of total)

ival-exp: 59.0ms (27.6% of total)

const: 8.0ms (3.7% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess134.0ms (4.1%)

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)

explain50.0ms (1.5%)

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

31.0ms

512×

valid

Compiler

Compiled 44 to 17 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (64.8% of total)

ival-exp: 4.0ms (28.8% of total)

const: 1.0ms (7.2% of total)

backward-pass: 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 (pow.f64 (exp.f64 y) y))
▶	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 y)
✓	cost-diff	0	(pow.f64 (exp.f64 y) y)
✓	cost-diff	0	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	cost-diff	-6336	(exp.f64 (*.f64 y y))
✓	cost-diff	-6336	(.f64 x (exp.f64 (.f64 y y)))
✓	cost-diff	0	(*.f64 y y)

Rules

1×	`*-commutative`
1×	`exp-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	123
1	15	123

Stop Event

1×

saturated

Calls

Call 1

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

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

localize56.0ms (1.7%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (exp.f64 y) y)
✓	accuracy	100.0%	(exp.f64 y)
✓	accuracy	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(exp.f64 (*.f64 y y))
✓	accuracy	100.0%	(.f64 x (exp.f64 (.f64 y y)))

Results

45.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-pow: 16.0ms (61.5% of total)

ival-mult: 6.0ms (23.1% of total)

ival-exp: 3.0ms (11.5% of total)

const: 0.0ms (0% of total)

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

series58.0ms (1.7%)

Counts

6 → 88

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	(* x (pow (exp y) y))
1.0ms	y	@	inf	(* x (exp (* y y)))
1.0ms	x	@	0	(* x (exp (* y y)))
1.0ms	x	@	-inf	(* x (exp (* y y)))
1.0ms	y	@	0	(* x (pow (exp y) y))

rewrite214.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	134	92
2	1366	92

Stop Event

1×	node limit

Counts

6 → 227

Calls

Call 1

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

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

simplify161.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

691×	`distribute-lft-in`
598×	`distribute-rgt-in`
402×	`fma-neg`
301×	`exp-prod`
279×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	434	4294975621
1	743	4294975276
2	1919	4294975078
3	5491	4294975036

Stop Event

1×	node limit

Counts

315 → 249

Calls

Call 1

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

Outputs
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
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(+.f64 #s(literal 1 binary64) (expm1.f64 y))
(exp.f64 y)
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 4 binary64)))) (fabs.f64 (cbrt.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 y)))
(sqrt.f64 (pow.f64 (exp.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 y))
(exp.f64 y)
(log.f64 (exp.f64 (exp.f64 y)))
(+.f64 #s(literal 1 binary64) (expm1.f64 y))
(exp.f64 y)
(cbrt.f64 (pow.f64 (exp.f64 y) #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (expm1.f64 y))
(exp.f64 y)
(expm1.f64 (log1p.f64 (exp.f64 y)))
(+.f64 #s(literal 1 binary64) (expm1.f64 y))
(exp.f64 y)
(log1p.f64 (expm1.f64 (exp.f64 y)))
(+.f64 #s(literal 1 binary64) (expm1.f64 y))
(exp.f64 y)

eval38.0ms (1.2%)

Compiler: Compiled 3142 to 893 computations (71.6% saved)

prune35.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	246	3	249
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	246	5	251

Accuracy

100.0%

Counts

251 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
✓	100.0%	(*.f64 x (pow.f64 (exp.f64 y) y))
▶	100.0%	(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
▶	49.8%	x

Compiler

Compiled 40 to 28 computations (30% saved)

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
✓	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
✓	cost-diff	64	(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	64	(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
✓	cost-diff	256	(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
✓	cost-diff	256	(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))

Rules

859×	`fma-neg`
443×	`times-frac`
416×	`div-sub`
399×	`associate-/r*`
361×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	191
1	36	182
2	56	172
3	90	160
4	132	160
5	344	160
6	1075	160
7	3990	160
8	5973	160

Stop Event

1×	node limit

Calls

Call 1

Inputs
x
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(E.f64)
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
x
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)

Outputs
x
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
(*.f64 x (exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 x (exp.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 x (exp.f64 (pow.f64 y #s(literal 2 binary64))))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (pow.f64 y #s(literal 2 binary64)))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(exp.f64 (fma.f64 y y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(E.f64)
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) x)
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
x
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)

localize99.0ms (3%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
✓	accuracy	84.2%	(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
✓	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
✓	accuracy	100.0%	(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
✓	accuracy	100.0%	(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))

Results

38.0ms

256×

valid

Compiler

Compiled 59 to 13 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-pow: 6.0ms (33.8% of total)

ival-add: 3.0ms (16.9% of total)

ival-mult: 3.0ms (16.9% of total)

ival-div: 2.0ms (11.3% of total)

ival-exp: 2.0ms (11.3% of total)

ival-e: 2.0ms (11.3% of total)

const: 1.0ms (5.6% of total)

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

series15.0ms (0.5%)

Counts

8 → 89

Calls

Call 1

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

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

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (/ (exp (+ 1 (pow y 2))) (E)))
1.0ms	y	@	0	(* x (/ (exp (+ 1 (pow y 2))) (E)))
1.0ms	y	@	inf	(* x (/ (exp (+ 1 (pow y 2))) (E)))
1.0ms	x	@	inf	(* x (/ (exp (+ 1 (pow y 2))) (E)))
1.0ms	y	@	0	(/ (exp (+ 1 (pow y 2))) (E))

rewrite155.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff`
753×	`log1p-expm1-u`
753×	`expm1-log1p-u`
392×	`fma-define`
189×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	158
1	244	127
2	3315	127

Stop Event

1×	node limit

Counts

8 → 255

Calls

Call 1

Inputs
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64))
(exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) x)
(pow.f64 y #s(literal 2 binary64))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(E.f64)

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

simplify154.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

394×	`associate-r`
363×	`cancel-sign-sub-inv`
359×	`fma-neg`
316×	`associate-l`
294×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	12221
1	1164	8205
2	4678	8065

Stop Event

1×	node limit

Counts

344 → 331

Calls

Call 1

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

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

eval46.0ms (1.4%)

Compiler: Compiled 5138 to 1201 computations (76.6% saved)

prune49.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	373	2	375
Fresh	0	0	0
Picked	2	1	3
Done	1	1	2
Total	376	4	380

Accuracy

100.0%

Counts

380 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(+.f64 x (.f64 (.f64 y y) x))
▶	100.0%	(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	49.8%	x

Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify70.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 x (.f64 (.f64 y y) x))
	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 (.f64 y y) x)
	cost-diff	0	(E.f64)
	cost-diff	0	(*.f64 y y)
✓	cost-diff	256	(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
✓	cost-diff	256	(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))

Rules

891×	`fma-neg`
446×	`times-frac`
420×	`div-sub`
398×	`associate-/r*`
361×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	209
1	36	185
2	56	181
3	86	169
4	128	169
5	340	169
6	1065	169
7	3973	169
8	5976	169

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(E.f64)
(+.f64 x (.f64 (.f64 y y) x))
x
(.f64 (.f64 y y) x)
(*.f64 y y)
y

Outputs
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
(*.f64 x (exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 x (exp.f64 (+.f64 (.f64 y y) #s(literal 0 binary64))))
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (exp.f64 (.f64 y y)))
x
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
(exp.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 y y) #s(literal 0 binary64)))
(pow.f64 (exp.f64 y) y)
(exp.f64 (*.f64 y y))
(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))
(exp.f64 (fma.f64 y y #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y
(E.f64)
(+.f64 x (.f64 (.f64 y y) x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 y y)) x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 y (.f64 x y))
(.f64 x (.f64 y y))
(*.f64 y y)
y

localize47.0ms (1.4%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(+.f64 x (.f64 (.f64 y y) x))
✓	accuracy	84.2%	(.f64 (.f64 y y) x)
	accuracy	100.0%	(E.f64)
✓	accuracy	100.0%	(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
✓	accuracy	100.0%	(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
✓	accuracy	100.0%	(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))

Results

33.0ms

256×

valid

Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions

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

ival-mult: 6.0ms (41% of total)

ival-add: 3.0ms (20.5% of total)

ival-div: 2.0ms (13.7% of total)

ival-exp: 2.0ms (13.7% of total)

ival-e: 2.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

series78.0ms (2.3%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))>
#<alt (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))>
#<alt (.f64 (.f64 y y) x)>
#<alt (+.f64 x (.f64 (.f64 y y) x))>
#<alt (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))>

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

Calls

24 calls:

Time	Variable		Point	Expression
68.0ms	x	@	-inf	(+ x (* (* y y) x))
0.0ms	y	@	0	(* x (/ (exp (+ 1 (* y y))) (E)))
0.0ms	y	@	0	(/ (exp (+ 1 (* y y))) (E))
0.0ms	x	@	0	(* x (/ (exp (+ 1 (* y y))) (E)))
0.0ms	y	@	0	(exp (+ 1 (* y y)))

rewrite136.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`log1p-expm1-u`
762×	`expm1-log1p-u`
634×	`log-prod`
415×	`fma-define`
196×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	129
1	243	99
2	3370	99

Stop Event

1×	node limit

Counts

5 → 181

Calls

Call 1

Inputs
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
(/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))) (E.f64))
(.f64 (.f64 y y) x)
(+.f64 x (.f64 (.f64 y y) x))
(exp.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y)))

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

simplify149.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-*r/`
376×	`associate-*l/`
267×	`associate-r`
225×	`distribute-lft-neg-in`
202×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	11331
1	1028	7345
2	3380	7197

Stop Event

1×	node limit

Counts

277 → 260

Calls

Call 1

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

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

eval41.0ms (1.2%)

Compiler: Compiled 4418 to 1020 computations (76.9% saved)

prune110.0ms (3.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	333	0	333
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	333	4	337

Accuracy

100.0%

Counts

337 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	81.0%	(+.f64 x (.f64 (.f64 y y) x))
✓	100.0%	(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
✓	100.0%	(.f64 x (exp.f64 (.f64 y y)))
✓	49.8%	x

Compiler

Compiled 81 to 45 computations (44.4% saved)

regimes16.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(+.f64 x (.f64 (.f64 y y) x))
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
(*.f64 x (pow.f64 (exp.f64 y) y))
(*.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (E.f64)))

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

Calls

5 calls:

5.0ms	x
3.0ms	y
3.0ms	(.f64 x (exp.f64 (.f64 y y)))
3.0ms	(*.f64 y y)
2.0ms	(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)

regimes12.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(+.f64 x (.f64 (.f64 y y) x))
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) x))
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))

Outputs
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))

Calls

5 calls:

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

regimes12.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
2.0ms	x
2.0ms	(.f64 x (exp.f64 (.f64 y y)))
2.0ms	(*.f64 y y)
2.0ms	(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 (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(+.f64 x (.f64 (.f64 y y) x))

Outputs
(+.f64 x (.f64 (.f64 y y) x))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.0%	1	`x`
81.0%	1	`y`
81.0%	1	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.8%	1	`x`
49.8%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
3×	`1-exp`
2×	`+-commutative`
1×	`e-exp-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	127
1	34	127

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (.f64 (.f64 y y) x))
x

Outputs
(*.f64 x (pow.f64 (exp.f64 y) y))
(.f64 x (/.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))) (E.f64)))
(.f64 x (exp.f64 (.f64 y y)))
(+.f64 x (.f64 (.f64 y y) x))
(+.f64 x (.f64 x (.f64 y y)))
x

soundness497.0ms (15%)

Rules

911×	`prod-diff`
753×	`log1p-expm1-u`
753×	`expm1-log1p-u`
691×	`distribute-lft-in`
598×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	434	4294975621
1	743	4294975276
2	1919	4294975078
3	5491	4294975036
0	14	92
1	134	92
2	1366	92
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
0	18	158
1	244	127
2	3315	127

Stop Event

1×	done
1×	node limit
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 166 to 83 computations (50% saved)

preprocess52.0ms (1.6%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 256 to 152 computations (40.6% saved)

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

analyze0.0ms (0%)

sample736.0ms (22.3%)

preprocess134.0ms (4.1%)

explain50.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize56.0ms (1.7%)

series58.0ms (1.7%)

rewrite214.0ms (6.5%)

simplify161.0ms (4.9%)

eval38.0ms (1.2%)

prune35.0ms (1%)

simplify68.0ms (2.1%)

localize99.0ms (3%)

series15.0ms (0.5%)

rewrite155.0ms (4.7%)

simplify154.0ms (4.6%)

eval46.0ms (1.4%)

prune49.0ms (1.5%)

simplify70.0ms (2.1%)

localize47.0ms (1.4%)

series78.0ms (2.3%)

rewrite136.0ms (4.1%)

simplify149.0ms (4.5%)

eval41.0ms (1.2%)

prune110.0ms (3.3%)

regimes16.0ms (0.5%)

regimes12.0ms (0.4%)

regimes12.0ms (0.4%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness497.0ms (15%)

preprocess52.0ms (1.6%)

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