Metrics for Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample792.0ms (33.1%)

Results

433.0ms	6484×	0	valid
111.0ms	1772×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-add: 67.0ms (45.7% of total)

ival-mult: 67.0ms (45.7% of total)

const: 8.0ms (5.5% of total)

backward-pass: 4.0ms (2.7% of total)

Bogosity

preprocess187.0ms (7.8%)

Algorithm

1×	egg-herbie

Rules

307×	`fma-define`
258×	`fma-neg`
99×	`distribute-lft-in`
92×	`distribute-rgt-in`
87×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	254
1	65	246
2	164	246
3	589	246
4	1148	246
5	1621	246
6	1721	246
7	1738	246

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

Symmetry

(negabs z)

(sort x y)

explain86.0ms (3.6%)

FPErrors

Click to see full error table

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

Results

32.0ms	396×	256	valid
11.0ms	116×	256	infinite

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

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

ival-mult: 5.0ms (55.9% of total)

ival-add: 3.0ms (33.6% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize29.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Results

15.0ms	198×	256	valid
7.0ms	58×	256	infinite

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 2.0ms (49.9% of total)

ival-mult: 2.0ms (49.9% of total)

const: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite261.0ms (10.9%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u`
568×	`expm1-log1p-u`
482×	`unpow-prod-down`
455×	`prod-diff`
278×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	116	22
2	1522	22

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

simplify91.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

358×	`exp-prod`
329×	`distribute-lft-neg-in`
295×	`distribute-lft-neg-out`
280×	`distribute-rgt-neg-in`
269×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1639
1	244	1639
2	654	1639
3	2332	1639
4	4791	1639

Stop Event

1×	node limit

Counts

69 → 45

Calls

Call 1

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

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

eval7.0ms (0.3%)

Compiler: Compiled 428 to 169 computations (60.5% saved)

prune11.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Accuracy

100.0%

Counts

46 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.9%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	47.2%	(*.f64 z x)
▶	90.4%	(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
▶	58.9%	(*.f64 y z)
▶	90.6%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Compiler

Compiled 100 to 61 computations (39% saved)

localize84.0ms (3.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 z (/.f64 (*.f64 x z) y))
✓	91.9%	(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
✓	91.6%	(/.f64 (*.f64 x z) y)
✓	100.0%	(+.f64 z (/.f64 (*.f64 y z) x))
✓	94.2%	(/.f64 (*.f64 y z) x)
✓	92.1%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
✓	97.2%	(+.f64 (.f64 z y) (.f64 z x))

Results

40.0ms	198×	256	valid
10.0ms	58×	256	infinite

Compiler

Compiled 84 to 15 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (62.7% of total)

ival-div: 4.0ms (19.3% of total)

ival-add: 4.0ms (19.3% of total)

const: 0.0ms (0% of total)

series93.0ms (3.9%)

Counts

7 → 156

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* y (+ z (/ (* x z) y)))
2.0ms	z	@	inf	(* x (+ z (/ (* y z) x)))
1.0ms	z	@	inf	(+ (* z y) (* z x))
1.0ms	z	@	0	(* x (+ z (/ (* y z) x)))
1.0ms	z	@	-inf	(* x (+ z (/ (* y z) x)))

rewrite194.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1183×	`log1p-expm1-u`
623×	`expm1-log1p-u`
153×	`associate-r`
145×	`add-cube-cbrt`
144×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	208
1	353	192
2	5115	192

Stop Event

1×	node limit

Counts

7 → 269

Calls

Call 1

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

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

simplify203.0ms (8.5%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg`
380×	`associate-r`
380×	`exp-prod`
376×	`cube-prod`
340×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	619	15241
1	1519	14844
2	5138	14819

Stop Event

1×	node limit

Counts

425 → 374

Calls

Call 1

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

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

eval83.0ms (3.4%)

Compiler: Compiled 5979 to 2030 computations (66% saved)

prune59.0ms (2.5%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	374	0	374
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	374	6	380

Accuracy

100.0%

Counts

380 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.9%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	47.2%	(*.f64 z x)
✓	90.4%	(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
✓	58.9%	(*.f64 y z)
✓	90.6%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Compiler

Compiled 93 to 49 computations (47.3% saved)

regimes12.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	(*.f64 (+.f64 x y) z)
2.0ms	x
2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	z

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)

regimes10.0ms (0.4%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
84.7%	2	`x`
83.3%	2	`y`
66.1%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y z)

Outputs
(*.f64 y z)

Calls

3 calls:

0.0ms	z
0.0ms	x
0.0ms	y

Results

Accuracy	Segments	Branch
58.9%	1	`z`
58.9%	1	`y`
58.9%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch10.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1.2003099642719416e-17	-1.7133333535585035e-18

Results

6.0ms	86×	0	valid
1.0ms	10×	0	infinite

Compiler

Compiled 98 to 70 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (67.6% of total)

ival-mult: 1.0ms (67.6% of total)

const: 0.0ms (0% of total)

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

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	23	73

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 x #s(literal -7788445287802241/649037107316853453566312041152512 binary64)) (.f64 z x) (.f64 y z))
(*.f64 y z)

Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 x #s(literal -7788445287802241/649037107316853453566312041152512 binary64)) (.f64 z x) (.f64 y z))
(if (<=.f64 x #s(literal -7788445287802241/649037107316853453566312041152512 binary64)) (.f64 x z) (.f64 y z))
(*.f64 y z)

soundness132.0ms (5.5%)

Rules

358×	`exp-prod`
329×	`distribute-lft-neg-in`
295×	`distribute-lft-neg-out`
280×	`distribute-rgt-neg-in`
269×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1639
1	244	1639
2	654	1639
3	2332	1639
4	4791	1639

Stop Event

1×	done
1×	node limit

Compiler

Compiled 30 to 15 computations (50% saved)

preprocess36.0ms (1.5%)

Remove

(sort x y)

(negabs z)

Compiler

Compiled 154 to 90 computations (41.6% saved)

Text.Parsec.Token:makeTokenParser from parsec-3.1.9, B

analyze1.0ms (0%)

sample792.0ms (33.1%)

preprocess187.0ms (7.8%)

explain86.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize29.0ms (1.2%)

series5.0ms (0.2%)

rewrite261.0ms (10.9%)

simplify91.0ms (3.8%)

eval7.0ms (0.3%)

prune11.0ms (0.5%)

localize84.0ms (3.5%)

series93.0ms (3.9%)

rewrite194.0ms (8.1%)

simplify203.0ms (8.5%)

eval83.0ms (3.4%)

prune59.0ms (2.5%)

regimes12.0ms (0.5%)

regimes10.0ms (0.4%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.4%)

simplify2.0ms (0.1%)

soundness132.0ms (5.5%)

preprocess36.0ms (1.5%)

end0.0ms (0%)

Profiling