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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample600.0ms (30.7%)

Results

362.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-add: 74.0ms (50.9% of total)

ival-mult: 62.0ms (42.7% of total)

const: 7.0ms (4.8% of total)

backward-pass: 3.0ms (2.1% of total)

Bogosity

preprocess111.0ms (5.7%)

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)

explain73.0ms (3.8%)

FPErrors

Click to see full error table

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

Results

59.0ms

512×

256

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

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

ival-mult: 4.0ms (53.1% of total)

ival-add: 3.0ms (39.8% of total)

const: 0.0ms (0% of total)

eval2.0ms (0.1%)

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)

localize18.0ms (0.9%)

Localize:

Found 1 expressions with local error:

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

Results

13.0ms

256×

256

valid

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

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

ival-add: 2.0ms (53.7% of total)

ival-mult: 2.0ms (53.7% of total)

const: 0.0ms (0% of total)

series8.0ms (0.4%)

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
3.0ms	x	@	-inf	(* (+ x y) z)
1.0ms	z	@	0	(* (+ x y) z)
1.0ms	x	@	inf	(* (+ x y) z)
0.0ms	y	@	inf	(* (+ x y) z)
0.0ms	z	@	inf	(* (+ x y) z)

rewrite251.0ms (12.8%)

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))

simplify95.0ms (4.9%)

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))

eval6.0ms (0.3%)

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

prune10.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Accuracy

100.0%

Counts

46 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	50.8%	(*.f64 z x)
▶	55.8%	(*.f64 y z)
▶	89.2%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Compiler

Compiled 42 to 26 computations (38.1% saved)

localize52.0ms (2.6%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	97.0%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(+.f64 z (/.f64 (*.f64 y z) x))
✓	94.4%	(/.f64 (*.f64 y z) x)
✓	90.0%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Results

37.0ms

256×

256

valid

Compiler

Compiled 57 to 11 computations (80.7% saved)

Precisions

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

ival-mult: 7.0ms (38.7% of total)

ival-div: 6.0ms (33.2% of total)

ival-add: 5.0ms (27.6% of total)

const: 0.0ms (0% of total)

series19.0ms (1%)

Counts

4 → 96

Calls

Call 1

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

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 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 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)))))>

Calls

36 calls:

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

rewrite153.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`log1p-expm1-u`
813×	`expm1-log1p-u`
664×	`fma-define`
315×	`fma-neg`
200×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	115
1	247	107
2	3517	107

Stop Event

1×	node limit

Counts

4 → 248

Calls

Call 1

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

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

simplify272.0ms (13.9%)

Algorithm

1×	egg-herbie

Rules

430×	`distribute-lft-neg-in`
416×	`distribute-rgt-neg-in`
403×	`distribute-lft-in`
402×	`fma-neg`
383×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	11128
1	1225	10193
2	3668	10169

Stop Event

1×	node limit

Counts

344 → 292

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

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

eval42.0ms (2.2%)

Compiler: Compiled 4245 to 1311 computations (69.1% saved)

prune45.0ms (2.3%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	292	5	297

Accuracy

100.0%

Counts

297 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	50.8%	(*.f64 z x)
✓	55.8%	(*.f64 y z)
✓	89.2%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Compiler

Compiled 72 to 38 computations (47.2% saved)

regimes11.0ms (0.6%)

Counts

5 → 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)))

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

Calls

5 calls:

3.0ms	z
2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x
2.0ms	(*.f64 (+.f64 x y) 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 (0.5%)

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
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
87.6%	4	`x`
85.2%	2	`y`
67.1%	6	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (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	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
55.8%	1	`z`
55.8%	1	`x`
55.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch6.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	6.11035946263672e-126	1.966233611498021e-125

Results

3.0ms

80×

valid

Compiler

Compiled 84 to 60 computations (28.6% saved)

Precisions

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

ival-mult: 1.0ms (83.3% of total)

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

const: 0.0ms (0% of total)

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

simplify3.0ms (0.2%)

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 y #s(literal 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (*.f64 z x) (*.f64 y z))

(*.f64 y z)

Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 y #s(literal 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 z x) (.f64 y z))
(if (<=.f64 y #s(literal 905047950073301/47634102635436893179040485073748265163400240214004076398607741693502376385799646303105256699577209032590132615988260237052123652332890095616 binary64)) (.f64 x z) (.f64 y z))
(*.f64 y z)

soundness134.0ms (6.9%)

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)

preprocess28.0ms (1.4%)

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

analyze0.0ms (0%)

sample600.0ms (30.7%)

preprocess111.0ms (5.7%)

explain73.0ms (3.8%)

eval2.0ms (0.1%)

prune1.0ms (0%)

localize18.0ms (0.9%)

series8.0ms (0.4%)

rewrite251.0ms (12.8%)

simplify95.0ms (4.9%)

eval6.0ms (0.3%)

prune10.0ms (0.5%)

localize52.0ms (2.6%)

series19.0ms (1%)

rewrite153.0ms (7.8%)

simplify272.0ms (13.9%)

eval42.0ms (2.2%)

prune45.0ms (2.3%)

regimes11.0ms (0.6%)

regimes10.0ms (0.5%)

regimes2.0ms (0.1%)

bsearch6.0ms (0.3%)

simplify3.0ms (0.2%)

soundness134.0ms (6.9%)

preprocess28.0ms (1.4%)

end0.0ms (0%)

Profiling