Metrics for Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

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 10 to 6 computations (40% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample1.1s (35.6%)

Results

503.0ms	6169×	0	valid
303.0ms	2087×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 340.0ms

ival-add: 254.0ms (74.6% of total)

ival-mult: 75.0ms (22% of total)

const: 8.0ms (2.4% of total)

backward-pass: 4.0ms (1.2% of total)

Bogosity

preprocess126.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

254×	`fma-neg`
174×	`fma-define`
54×	`unsub-neg`
41×	`sub-neg`
35×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	205
1	62	176
2	172	176
3	469	176
4	782	176
5	1034	176
6	1105	176
7	1115	176

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y)
(+.f64 y (fma.f64 x x y))
(+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y))
(fma.f64 x x (*.f64 y #s(literal -2 binary64)))
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) y) y))
(-.f64 (neg.f64 (fma.f64 x x y)) y)
(neg.f64 (+.f64 (+.f64 (*.f64 x x) (neg.f64 y)) (neg.f64 y)))
(fma.f64 x (neg.f64 x) (+.f64 y y))
(+.f64 (+.f64 (*.f64 y y) x) x)
(+.f64 x (fma.f64 y y x))

Symmetry

(abs x)

explain74.0ms (2.5%)

FPErrors

Click to see full error table

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

Results

35.0ms	382×	256	valid
11.0ms	130×	256	infinite

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 6.0ms (55.5% of total)

ival-mult: 5.0ms (46.3% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	100.0%	(+.f64 y (fma.f64 x x y))

Compiler

Compiled 17 to 9 computations (47.1% saved)

localize47.0ms (1.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	100.0%	(+.f64 (*.f64 x x) y)
✓	100.0%	(+.f64 y (fma.f64 x x y))

Results

29.0ms	191×	256	valid
7.0ms	65×	256	infinite

Compiler

Compiled 32 to 8 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (45.2% of total)

ival-add: 8.0ms (36.2% of total)

composed: 4.0ms (18.1% of total)

const: 0.0ms (0% of total)

series6.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite308.0ms (10.4%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
552×	`fma-define`
310×	`log-prod`
217×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	162	66
2	2255	60

Stop Event

1×	node limit

Counts

3 → 270

Calls

Call 1

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

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

simplify138.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

316×	`associate-*r/`
275×	`distribute-rgt-neg-in`
273×	`cancel-sign-sub-inv`
268×	`fma-neg`
264×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	10292
1	925	9606
2	3123	9494

Stop Event

1×	node limit

Counts

342 → 199

Calls

Call 1

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

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

eval185.0ms (6.2%)

Compiler: Compiled 8604 to 2798 computations (67.5% saved)

prune32.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	538	3	541
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	539	4	543

Accuracy

100.0%

Counts

543 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
▶	100.0%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))
▶	50.0%	(+.f64 y y)
▶	52.2%	(*.f64 x x)

Compiler

Compiled 28 to 17 computations (39.3% saved)

localize47.0ms (1.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))

Results

23.0ms	191×	256	valid
8.0ms	65×	256	infinite

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-mult: 5.0ms (53.7% of total)

ival-add: 3.0ms (32.2% of total)

const: 1.0ms (10.7% of total)

series2.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite122.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`prod-diff`
538×	`log1p-expm1-u`
538×	`expm1-log1p-u`
490×	`unpow-prod-down`
270×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	118	21
2	1527	21

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

Outputs
(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))
(.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(.f64 (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) #s(literal 4 binary64))) (-.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))
(pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 3 binary64))
(pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(sqrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(log.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(log.f64 (.f64 (exp.f64 (.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y #s(literal 2 binary64)))) (exp.f64 (*.f64 x x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x x)))))
(log.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x x))) (exp.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(expm1.f64 (log1p.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(exp.f64 (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x x))
(fma.f64 x x (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (cbrt.f64 (.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 x x))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) #s(literal 4 binary64))) (cbrt.f64 (.f64 y #s(literal 2 binary64))) (.f64 x x))
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) x) (.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 x x))
(fma.f64 (.f64 x (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x x))

simplify86.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

501×	`fma-define`
434×	`fma-neg`
365×	`associate-/r*`
306×	`cancel-sign-sub-inv`
267×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	3696
1	509	3364
2	1392	3180
3	4303	3138

Stop Event

1×	node limit

Counts

100 → 96

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))
(+.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))
(.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(.f64 (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))))
(.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(.f64 (pow.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y (.f64 #s(literal 2 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) #s(literal 4 binary64))) (-.f64 (.f64 x x) (*.f64 y #s(literal 2 binary64))))
(pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 3 binary64))
(pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(sqrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))))
(log.f64 (exp.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(log.f64 (.f64 (exp.f64 (.f64 y #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x x)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y #s(literal 2 binary64)))) (exp.f64 (*.f64 x x))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x x)))))
(log.f64 (.f64 (exp.f64 (.f64 x x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x x))) (exp.f64 (*.f64 y #s(literal 2 binary64)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)) (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))))
(expm1.f64 (log1p.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(exp.f64 (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 x x))
(fma.f64 x x (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y #s(literal 2 binary64)) (.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (cbrt.f64 (.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 x x))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) #s(literal 4 binary64))) (cbrt.f64 (.f64 y #s(literal 2 binary64))) (.f64 x x))
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) x) (.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 x x))
(fma.f64 (.f64 x (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x x))

Outputs
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x x (+.f64 y y))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x x (+.f64 y y))
(*.f64 y (+.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(fma.f64 x x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(fma.f64 x x (+.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(fma.f64 x x (+.f64 y y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) #s(literal 2 binary64))))
(fma.f64 x x (+.f64 y y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 y y)
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(+.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x (+.f64 y y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x (+.f64 y y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x x (+.f64 y y))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
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(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)) (+.f64 y y))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x (.f64 x x)))) (cbrt.f64 (.f64 x x)) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (+.f64 y y))
(fma.f64 (cbrt.f64 (.f64 y #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 y y) #s(literal 4 binary64))) (.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 y y)) (cbrt.f64 (.f64 y (.f64 y #s(literal 4 binary64)))) (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) #s(literal 4 binary64))) (cbrt.f64 (.f64 y #s(literal 2 binary64))) (.f64 x x))
(fma.f64 (cbrt.f64 (+.f64 y y)) (cbrt.f64 (.f64 y (.f64 y #s(literal 4 binary64)))) (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 y y)) (.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (cbrt.f64 y) (.f64 #s(literal 2 binary64) (cbrt.f64 (.f64 y y))) (*.f64 x x))
(fma.f64 (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 x x (+.f64 y y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 1/2 binary64)) x) (.f64 y #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 2 binary64)) (.f64 x x))
(fma.f64 x x (+.f64 y y))
(fma.f64 (.f64 x (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)) (.f64 y #s(literal 2 binary64)))
(fma.f64 x x (+.f64 y y))
(fma.f64 (.f64 x (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (*.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)) (+.f64 y y))
(fma.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (.f64 y y))) (cbrt.f64 y) (*.f64 x x))
(fma.f64 (cbrt.f64 y) (.f64 #s(literal 2 binary64) (cbrt.f64 (.f64 y y))) (*.f64 x x))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 y)) (sqrt.f64 y) (.f64 x x))
(fma.f64 x x (+.f64 y y))

eval131.0ms (4.4%)

Compiler: Compiled 3140 to 1555 computations (50.5% saved)

prune32.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	196	4	200

Accuracy

100.0%

Counts

200 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)
✓	100.0%	(+.f64 (.f64 y #s(literal 2 binary64)) (.f64 x x))
✓	50.0%	(+.f64 y y)
✓	52.2%	(*.f64 x x)

Compiler

Compiled 56 to 28 computations (50% saved)

regimes16.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	y

Results

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

Compiler

Compiled 20 to 12 computations (40% saved)

regimes67.0ms (2.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

62.0ms	x
3.0ms	y
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
87.5%	2	`x`
64.5%	3	`y`
87.5%	2	`(*.f64 x x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x x)

Outputs
(*.f64 x x)

Calls

3 calls:

0.0ms	(*.f64 x x)
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
52.2%	1	`y`
52.2%	1	`x`
52.2%	1	`(*.f64 x x)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch14.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.5498095089360917e-53	9.14247219050124e-50

Results

9.0ms

128×

valid

Compiler

Compiled 94 to 65 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-add: 1.0ms (60% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	20	88

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 4739053125085073/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (+.f64 y y) (*.f64 x x))

(*.f64 x x)

Outputs

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

(if (<=.f64 (*.f64 x x) #s(literal 4739053125085073/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (+.f64 y y) (*.f64 x x))

(*.f64 x x)

soundness434.0ms (14.6%)

Rules

804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
552×	`fma-define`
316×	`associate-*r/`
310×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	10292
1	925	9606
2	3123	9494
0	23	205
1	62	176
2	172	176
3	469	176
4	782	176
5	1034	176
6	1105	176
7	1115	176
0	13	72
1	162	66
2	2255	60

Stop Event

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

Compiler

Compiled 119 to 52 computations (56.3% saved)

preprocess44.0ms (1.5%)

Remove: (abs x)
Compiler: Compiled 102 to 52 computations (49% saved)

Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

analyze0.0ms (0%)

sample1.1s (35.6%)

preprocess126.0ms (4.2%)

explain74.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize47.0ms (1.6%)

series6.0ms (0.2%)

rewrite308.0ms (10.4%)

simplify138.0ms (4.6%)

eval185.0ms (6.2%)

prune32.0ms (1.1%)

localize47.0ms (1.6%)

series2.0ms (0.1%)

rewrite122.0ms (4.1%)

simplify86.0ms (2.9%)

eval131.0ms (4.4%)

prune32.0ms (1.1%)

regimes16.0ms (0.5%)

regimes67.0ms (2.2%)

regimes2.0ms (0.1%)

bsearch14.0ms (0.5%)

simplify4.0ms (0.1%)

soundness434.0ms (14.6%)

preprocess44.0ms (1.5%)

end0.0ms (0%)

Profiling