Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, I

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

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

sample1.2s (40.9%)

Results

1.1s	8254×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	2048	valid

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

Operation ival-add, time spent: 138.0ms, 94.0% of total-time

Operation const, time spent: 9.0ms, 6.0% of total-time

Bogosity

preprocess148.0ms (5%)

Algorithm

1×	egg-herbie

Rules

644×	`fma-neg`
334×	`fma-define`
144×	`associate--r+`
120×	`associate-+l-`
112×	`distribute-rgt-in`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	262
1	70	242
2	205	242
3	585	242
4	1078	242
5	1295	242
6	1358	242
7	1364	242

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 x y) z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 x y) z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 (neg.f64 x) y) z)
(+.f64 z (+.f64 y (neg.f64 x)))
(+.f64 z (-.f64 y x))
(+.f64 (+.f64 x (neg.f64 y)) z)
(+.f64 z (-.f64 x y))
(+.f64 x (-.f64 z y))
(+.f64 (+.f64 x y) (neg.f64 z))
(-.f64 (+.f64 x y) z)
(+.f64 x (-.f64 y z))
(-.f64 x (-.f64 z y))
(neg.f64 (+.f64 (+.f64 (neg.f64 x) y) z))
(neg.f64 (+.f64 z (+.f64 y (neg.f64 x))))
(-.f64 (-.f64 x y) z)
(-.f64 x (+.f64 y z))
(neg.f64 (+.f64 (+.f64 x (neg.f64 y)) z))
(neg.f64 (+.f64 z (-.f64 x y)))
(-.f64 (-.f64 y x) z)
(-.f64 y (+.f64 x z))
(neg.f64 (+.f64 (+.f64 x y) (neg.f64 z)))
(neg.f64 (-.f64 (+.f64 x y) z))
(-.f64 z (+.f64 x y))
(+.f64 (+.f64 y x) z)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 z y) x)
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 x z) y)
(+.f64 x (+.f64 y z))

Symmetry

(sort x y z)

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-add, time spent: 9.0ms, 91.0% of total-time

Operation const, time spent: 1.0ms, 10.0% of total-time

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 (+.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize35.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

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

Operation ival-add, time spent: 3.0ms, 87.0% of total-time

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

series3.0ms (0.1%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite194.0ms (6.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`unpow-prod-down`
786×	`fma-define`
738×	`log1p-expm1-u`
738×	`expm1-log1p-u`
590×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	128	22
2	1910	22

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

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

simplify116.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1584×	`fma-neg`
970×	`distribute-lft-in`
958×	`distribute-rgt-in`
798×	`fma-define`
642×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	4572
1	638	4530
2	1685	4463
3	7014	4432

Stop Event

1×	node limit

Counts

132 → 154

Calls

Call 1

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

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

eval36.0ms (1.2%)

Compiler: Compiled 2001 to 764 computations (61.8% saved)

prune186.0ms (6.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	148	6	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	6	155

Accuracy

100.0%

Counts

155 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(+.f64 z x)
▶	46.6%	(+.f64 y z)
▶	55.3%	(+.f64 y x)
	82.1%	(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) z))))
▶	45.1%	z
▶	53.9%	x

Compiler

Compiled 78 to 54 computations (30.8% saved)

localize41.0ms (1.4%)

Compiler: Compiled 21 to 7 computations (66.7% saved)
Precisions: Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-add, time spent: 8.0ms, 95.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	5	5
Done	0	0
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f64 z x)
✓	46.6%	(+.f64 y z)
✓	55.3%	(+.f64 y x)
▶	82.1%	(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) z))))
✓	45.1%	z
✓	53.9%	x

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize49.0ms (1.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 y x) z)
✓	82.1%	(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) z))))

Compiler

Compiled 41 to 16 computations (61% saved)

Precisions

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

Operation ival-sub, time spent: 6.0ms, 38.0% of total-time

Operation ival-neg, time spent: 3.0ms, 19.0% of total-time

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

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

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

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

series55.0ms (1.9%)

Counts

2 → 72

Calls

Call 1

Inputs
#<alt (*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) z))))>
#<alt (/.f64 (+.f64 y x) z)>

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

Calls

18 calls:

Time	Variable		Point	Expression
45.0ms	y	@	0	(/ (+ y x) z)
1.0ms	y	@	inf	(* z (neg (- -1 (/ (+ y x) z))))
1.0ms	z	@	0	(* z (neg (- -1 (/ (+ y x) z))))
1.0ms	z	@	-inf	(* z (neg (- -1 (/ (+ y x) z))))
1.0ms	z	@	inf	(* z (neg (- -1 (/ (+ y x) z))))

rewrite103.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`prod-diff`
987×	`log1p-expm1-u`
987×	`expm1-log1p-u`
578×	`fma-define`
250×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	199	59
2	2946	59

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) z))))
(/.f64 (+.f64 y x) z)

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

simplify128.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

868×	`fma-define`
848×	`times-frac`
822×	`distribute-lft-in`
792×	`distribute-rgt-in`
772×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4997
1	564	4377
2	1699	3996
3	7290	3996

Stop Event

1×	node limit

Counts

151 → 130

Calls

Call 1

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

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

eval37.0ms (1.3%)

Compiler: Compiled 1954 to 924 computations (52.7% saved)

prune20.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	130	6	136

Accuracy

100.0%

Counts

136 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f64 z x)
✓	46.6%	(+.f64 y z)
✓	55.3%	(+.f64 y x)
▶	46.7%	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	45.1%	z
✓	53.9%	x

Compiler

Compiled 36 to 25 computations (30.6% saved)

localize38.0ms (1.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	98.1%	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 22 to 11 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-add, time spent: 3.0ms, 36.0% of total-time

Operation ival-div, time spent: 2.0ms, 24.0% of total-time

Operation ival-mult, time spent: 2.0ms, 24.0% of total-time

Operation const, time spent: 1.0ms, 12.0% of total-time

series4.0ms (0.1%)

Counts

1 → 21

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(* z (+ 1 (/ y z)))
1.0ms	z	@	-inf	(* z (+ 1 (/ y z)))
0.0ms	z	@	0	(* z (+ 1 (/ y z)))
0.0ms	y	@	-inf	(* z (+ 1 (/ y z)))
0.0ms	y	@	inf	(* z (+ 1 (/ y z)))

rewrite83.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1306×	`unpow-prod-down`
916×	`prod-diff`
673×	`log1p-expm1-u`
673×	`expm1-log1p-u`
670×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	133	28
2	1858	27

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))

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

simplify74.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1782×	`times-frac`
1472×	`distribute-lft-neg-in`
618×	`exp-prod`
600×	`prod-exp`
574×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1494
1	396	1384
2	1038	1373
3	5187	1373

Stop Event

1×	node limit

Counts

83 → 80

Calls

Call 1

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

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

eval30.0ms (1%)

Compiler: Compiled 979 to 336 computations (65.7% saved)

prune13.0ms (0.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	80	6	86

Accuracy

100.0%

Counts

86 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(+.f64 z x)
✓	46.6%	(+.f64 y z)
✓	55.3%	(+.f64 y x)
✓	46.7%	(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	45.1%	z
✓	53.9%	x

Compiler

Compiled 72 to 42 computations (41.7% saved)

regimes16.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

Inputs
x
z
(+.f64 y x)
(+.f64 y z)
(+.f64 z x)
(+.f64 (+.f64 x y) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) z))))

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

Calls

5 calls:

4.0ms	(+.f64 x y)
3.0ms	x
3.0ms	(+.f64 (+.f64 x y) z)
3.0ms	z
3.0ms	y

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 z x)

Calls

3 calls:

2.0ms	x
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	z
3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
85.2%	2	`x`
77.4%	2	`y`
86.5%	2	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
x
z
(+.f64 y x)

Outputs
(+.f64 y x)
z

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
85.9%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
x
z

Outputs
x
z

Calls

2 calls:

2.0ms	z
2.0ms	x

Results

Accuracy	Segments	Branch
83.6%	2	`x`
85.2%	2	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

2.0ms	y
1.0ms	z
1.0ms	x

Results

Accuracy	Segments	Branch
53.9%	1	`y`
53.9%	1	`x`
53.9%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3399074384733767e+61	1.6479631349698765e+68

Results

13.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 140 to 100 computations (28.6% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 106.0% of total-time

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

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.3399074384733767e+61	1.6479631349698765e+68

Results

14.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 122 to 91 computations (25.4% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 107.0% of total-time

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

bsearch15.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.3399074384733767e+61	1.6479631349698765e+68

Results

13.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 104 to 82 computations (21.2% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 103.0% of total-time

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	126
1	31	126

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) z)
(+.f64 z x)
(if (<=.f64 z #s(literal 49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (+.f64 y x) (+.f64 y z))
(if (<=.f64 z #s(literal 161999999999999994509517859066486433906252598921758241083134920622080 binary64)) (+.f64 y x) z)
(if (<=.f64 z #s(literal 96000000000000000737254757859133085030419145527935049278620491055104 binary64)) x z)
x

Outputs
(+.f64 (+.f64 x y) z)
(+.f64 z x)
(+.f64 x z)
(if (<=.f64 z #s(literal 49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (+.f64 y x) (+.f64 y z))
(if (<=.f64 z #s(literal 49999999999999997640261112569083403345625645676430849265210811744256 binary64)) (+.f64 x y) (+.f64 y z))
(if (<=.f64 z #s(literal 161999999999999994509517859066486433906252598921758241083134920622080 binary64)) (+.f64 y x) z)
(if (<=.f64 z #s(literal 161999999999999994509517859066486433906252598921758241083134920622080 binary64)) (+.f64 x y) z)
(if (<=.f64 z #s(literal 96000000000000000737254757859133085030419145527935049278620491055104 binary64)) x z)
x

Compiler

Compiled 51 to 33 computations (35.3% saved)

soundness164.0ms (5.5%)

Rules

1584×	`fma-neg`
970×	`distribute-lft-in`
958×	`distribute-rgt-in`
798×	`fma-define`
642×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	280	4572
1	638	4530
2	1685	4463
3	7014	4432

Stop Event

1×	node limit

Compiler

Compiled 18 to 10 computations (44.4% saved)

end0.0ms (0%)

preprocess49.0ms (1.6%)

Remove: (sort x y z)
Compiler: Compiled 152 to 82 computations (46.1% saved)

analyze0.0ms (0%)

sample1.2s (40.9%)

preprocess148.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (1.2%)

series3.0ms (0.1%)

rewrite194.0ms (6.6%)

simplify116.0ms (3.9%)

eval36.0ms (1.2%)

prune186.0ms (6.3%)

localize41.0ms (1.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize49.0ms (1.7%)

series55.0ms (1.9%)

rewrite103.0ms (3.5%)

simplify128.0ms (4.3%)

eval37.0ms (1.3%)

prune20.0ms (0.7%)

localize38.0ms (1.3%)

series4.0ms (0.1%)

rewrite83.0ms (2.8%)

simplify74.0ms (2.5%)

eval30.0ms (1%)

prune13.0ms (0.5%)

regimes16.0ms (0.5%)

regimes6.0ms (0.2%)

regimes13.0ms (0.4%)

regimes4.0ms (0.1%)

regimes4.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch15.0ms (0.5%)

bsearch16.0ms (0.5%)

bsearch15.0ms (0.5%)

simplify43.0ms (1.4%)

soundness164.0ms (5.5%)

end0.0ms (0%)

preprocess49.0ms (1.6%)

Profiling