Metrics for SynthBasics:oscSampleBasedAux from YampaSynth-0.2

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

sample1.2s (32.8%)

Results

900.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 245.0ms

ival-sub: 121.0ms (49.4% of total)

ival-mult: 68.0ms (27.7% of total)

ival-add: 45.0ms (18.4% of total)

const: 8.0ms (3.3% of total)

backward-pass: 3.0ms (1.2% of total)

Bogosity

preprocess192.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1176×	`fma-neg`
318×	`fma-define`
241×	`distribute-rgt-in`
186×	`unsub-neg`
170×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	377
1	78	321
2	237	317
3	836	317
4	1871	317
5	3198	317
6	3494	317
7	3526	317
8	3526	317
9	4161	317
10	4161	317

Stop Event

1×

saturated

Calls

Call 1

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

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

explain68.0ms (1.9%)

FPErrors

Click to see full error table

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

Results

36.0ms

512×

256

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

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

ival-mult: 9.0ms (56.2% of total)

ival-sub: 4.0ms (25% of total)

ival-add: 3.0ms (18.7% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize37.0ms (1%)

Localize:

Found 1 expressions with local error:

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

Results

28.0ms

256×

256

valid

Compiler

Compiled 34 to 8 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

<compiled-spec>: 4.0ms (33.7% of total)

ival-mult: 4.0ms (33.7% of total)

ival-add: 3.0ms (25.3% of total)

ival-sub: 2.0ms (16.9% of total)

const: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts

1 → 33

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite212.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`log1p-expm1-u`
806×	`expm1-log1p-u`
653×	`unpow-prod-down`
367×	`log-prod`
363×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	146	27
2	2133	27

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

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

simplify114.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-neg`
460×	`fma-define`
379×	`distribute-lft-in`
372×	`distribute-rgt-in`
277×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	5207
1	573	4471
2	1606	4277
3	5875	4241

Stop Event

1×	node limit

Counts

110 → 113

Calls

Call 1

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

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

eval18.0ms (0.5%)

Compiler: Compiled 1710 to 580 computations (66.1% saved)

prune18.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	109	6	115

Accuracy

100.0%

Counts

115 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
▶	93.0%	(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
▶	65.9%	(*.f64 y (-.f64 z x))
▶	41.0%	(*.f64 y z)
▶	61.4%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	35.1%	x

Compiler

Compiled 86 to 56 computations (34.9% saved)

localize58.0ms (1.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	100.0%	(+.f64 z (/.f64 x y))
✓	93.0%	(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))

Results

43.0ms

256×

256

valid

Compiler

Compiled 59 to 17 computations (71.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (34.9% of total)

ival-sub: 6.0ms (29.9% of total)

ival-div: 5.0ms (24.9% of total)

ival-add: 1.0ms (5% of total)

const: 1.0ms (5% of total)

series11.0ms (0.3%)

Counts

3 → 69

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite121.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`log1p-expm1-u`
837×	`expm1-log1p-u`
593×	`fma-define`
273×	`fma-neg`
205×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	230	81
2	3427	81

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

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

simplify103.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-define`
526×	`times-frac`
514×	`distribute-lft-in`
491×	`distribute-rgt-in`
273×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	6718
1	769	6482
2	2113	5539

Stop Event

1×	node limit

Counts

186 → 169

Calls

Call 1

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

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

eval55.0ms (1.5%)

Compiler: Compiled 2243 to 932 computations (58.4% saved)

prune28.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	168	7	175

Accuracy

100.0%

Counts

175 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	93.0%	(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
✓	65.9%	(*.f64 y (-.f64 z x))
✓	41.0%	(*.f64 y z)
✓	61.4%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
▶	28.9%	(*.f64 x (neg.f64 y))
✓	35.1%	x

Compiler

Compiled 55 to 36 computations (34.5% saved)

localize18.0ms (0.5%)

Results

13.0ms

256×

256

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-neg: 3.0ms (63.1% of total)

ival-mult: 2.0ms (42.1% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	6	6
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (-.f64 z x)))
✓	93.0%	(*.f64 y (-.f64 (+.f64 z (/.f64 x y)) x))
✓	65.9%	(*.f64 y (-.f64 z x))
✓	41.0%	(*.f64 y z)
✓	61.4%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	28.9%	(*.f64 x (neg.f64 y))
✓	35.1%	x

Compiler

Compiled 98 to 53 computations (45.9% saved)

regimes13.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(fma.f64 y (-.f64 z x) x)

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes28.0ms (0.8%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(*.f64 y (-.f64 z x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y (-.f64 z x))

Calls

3 calls:

15.0ms	z
7.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
81.3%	3	`x`
86.1%	3	`y`
82.3%	5	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.4%)

Counts

4 → 5

Calls

Call 1

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

Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y z)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 y z)
(*.f64 x (-.f64 #s(literal 1 binary64) y))

Calls

3 calls:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
79.0%	5	`z`
81.0%	5	`x`
68.2%	5	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.6%)

Counts

3 → 7

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	y
6.0ms	z

Results

Accuracy	Segments	Branch
69.2%	7	`y`
61.6%	9	`z`
68.1%	10	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y z)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
61.3%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
35.1%	1	`z`
35.1%	1	`x`
35.1%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch21.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.7049508967382245e-31	9.411329298032303e-29
8.0ms	-5.762111809076534e-56	-4.5224728713821215e-57

Results

12.0ms

224×

valid

Compiler

Compiled 268 to 193 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (43.6% of total)

ival-sub: 1.0ms (21.8% of total)

ival-add: 1.0ms (21.8% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (1.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.1101780758743712e-111	2.6844519164004583e-107
10.0ms	-1.4713480488091438e-222	-1.2043283334683074e-225
13.0ms	-2.81850825840529e-204	-2.8142699263552455e-212
9.0ms	-4.33387381344229e-27	-4.438237282378683e-29

Results

26.0ms

512×

valid

Compiler

Compiled 528 to 395 computations (25.2% saved)

Precisions

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

ival-mult: 4.0ms (38% of total)

ival-sub: 3.0ms (28.5% of total)

ival-add: 3.0ms (28.5% of total)

const: 0.0ms (0% of total)

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

bsearch54.0ms (1.5%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	8.402299625816223e+171	1.1309972312562327e+172
10.0ms	2.7049508967382245e-31	9.411329298032303e-29
8.0ms	-5.762111809076534e-56	-4.5224728713821215e-57
14.0ms	-507.62345913963634	-2.7074031726524064
12.0ms	-9.910052272642558e+132	-1.0830287658150438e+125
3.0ms	-1.5795639324706073e+213	-1.3183188600860156e+213

Results

28.0ms

560×

valid

Compiler

Compiled 499 to 368 computations (26.3% saved)

Precisions

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

ival-sub: 4.0ms (35.4% of total)

ival-mult: 4.0ms (35.4% of total)

ival-add: 3.0ms (26.5% of total)

const: 0.0ms (0% of total)

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

bsearch67.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.7049508967382245e-31	9.411329298032303e-29
55.0ms	-5.762111809076534e-56	-4.5224728713821215e-57

Results

58.0ms

224×

valid

Compiler

Compiled 184 to 137 computations (25.5% saved)

Precisions

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

ival-mult: 2.0ms (44.5% of total)

ival-sub: 1.0ms (22.2% of total)

ival-add: 1.0ms (22.2% of total)

const: 0.0ms (0% of total)

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

simplify260.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

10×	`if-if-or-not`
8×	`*-commutative`
8×	`not-or`
6×	`if-not`
6×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	467
1	95	461
2	109	449
3	121	445
4	127	445
5	131	445
6	132	445
7	133	445

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 y #s(literal -5963108843627047/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 y (-.f64 z x)) (if (<=.f64 y #s(literal 1248841731117715/89202980794122492566142873090593446023921664 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 z x))))
(if (<=.f64 x #s(literal -8697290627426943/22300745198530623141535718272648361505980416 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) (.f64 y z) (if (<=.f64 x #s(literal -2360503156170847/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal -1350000000000000046141725032386362052260518475533320781787028389492091369748722543832090677450244014553158842423473276742061781398863208883918504871168394687222404373532839945240114582670785668595240750773939732480 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal -274999999999999985657529176731007291330105403702099209271703581152725016323551878681570275397135748427360743157878553007383705026560 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -500 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal -6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 6779426540353309/713623846352979940529142984724747568191373312 binary64)) x (if (<=.f64 y #s(literal 8499999999999999501501293762542620003138195581135587013726376637429324041133547862496764819914038690761676630390228714069736063300089650298206340652677900494262105282707456 binary64)) (.f64 y z) (.f64 x (neg.f64 y))))))))
(if (<=.f64 y #s(literal -6625676492918941/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 7421688002070991/5708990770823839524233143877797980545530986496 binary64)) x (.f64 y z)))
x

Outputs
(fma.f64 y (-.f64 z x) x)
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 y #s(literal -5963108843627047/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 y (-.f64 z x)) (if (<=.f64 y #s(literal 1248841731117715/89202980794122492566142873090593446023921664 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y (-.f64 z x))))
(if (or (<=.f64 y #s(literal -5963108843627047/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 y #s(literal 1248841731117715/89202980794122492566142873090593446023921664 binary64)))) (.f64 y (-.f64 z x)) (.f64 x (-.f64 #s(literal 1 binary64) y)))
(if (<=.f64 x #s(literal -8697290627426943/22300745198530623141535718272648361505980416 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) (.f64 y z) (if (<=.f64 x #s(literal -2360503156170847/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)) (.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 x #s(literal -8697290627426943/22300745198530623141535718272648361505980416 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (<=.f64 x #s(literal -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) (.f64 y z) (if (or (<=.f64 x #s(literal -2360503156170847/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (not (<=.f64 x #s(literal 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) y)) (.f64 y z))))
(if (<=.f64 x #s(literal -8697290627426943/22300745198530623141535718272648361505980416 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) y)) (if (or (<=.f64 x #s(literal -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) (not (or (<=.f64 x #s(literal -2360503156170847/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (not (<=.f64 x #s(literal 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)))))) (.f64 y z) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 x #s(literal -8697290627426943/22300745198530623141535718272648361505980416 binary64)) (not (or (<=.f64 x #s(literal -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) (not (or (<=.f64 x #s(literal -2360503156170847/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (not (<=.f64 x #s(literal 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)))))))) (.f64 x (-.f64 #s(literal 1 binary64) y)) (.f64 y z))
(if (or (<=.f64 x #s(literal -8697290627426943/22300745198530623141535718272648361505980416 binary64)) (not (or (<=.f64 x #s(literal -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64)) (and (not (<=.f64 x #s(literal -2360503156170847/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64))) (<=.f64 x #s(literal 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)))))) (.f64 x (-.f64 #s(literal 1 binary64) y)) (.f64 y z))
(if (or (<=.f64 x #s(literal -8697290627426943/22300745198530623141535718272648361505980416 binary64)) (and (not (<=.f64 x #s(literal -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992 binary64))) (or (<=.f64 x #s(literal -2360503156170847/1627933211152308172382776316094057079381044512284157265721742629825204403764070329961287158415906809263410622703474912218234570716337735615323084973713581554222450580936038710562274972146438970881094974642550439936936217782587026682413056 binary64)) (not (<=.f64 x #s(literal 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144 binary64)))))) (.f64 x (-.f64 #s(literal 1 binary64) y)) (.f64 y z))
(if (<=.f64 y #s(literal -1350000000000000046141725032386362052260518475533320781787028389492091369748722543832090677450244014553158842423473276742061781398863208883918504871168394687222404373532839945240114582670785668595240750773939732480 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal -274999999999999985657529176731007291330105403702099209271703581152725016323551878681570275397135748427360743157878553007383705026560 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -500 binary64)) (.f64 x (neg.f64 y)) (if (<=.f64 y #s(literal -6183964726724345/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 6779426540353309/713623846352979940529142984724747568191373312 binary64)) x (if (<=.f64 y #s(literal 8499999999999999501501293762542620003138195581135587013726376637429324041133547862496764819914038690761676630390228714069736063300089650298206340652677900494262105282707456 binary64)) (.f64 y z) (.f64 x (neg.f64 y))))))))
(if (<=.f64 y #s(literal -6625676492918941/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 7421688002070991/5708990770823839524233143877797980545530986496 binary64)) x (.f64 y z)))
(if (or (<=.f64 y #s(literal -6625676492918941/441711766194596082395824375185729628956870974218904739530401550323154944 binary64)) (not (<=.f64 y #s(literal 7421688002070991/5708990770823839524233143877797980545530986496 binary64)))) (*.f64 y z) x)
x

soundness493.0ms (13.9%)

Rules

1176×	`fma-neg`
833×	`fma-neg`
673×	`fma-define`
526×	`times-frac`
514×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	377
1	78	321
2	237	317
3	836	317
4	1871	317
5	3198	317
6	3494	317
7	3526	317
8	3526	317
9	4161	317
10	4161	317
0	335	6718
1	769	6482
2	2113	5539
0	244	5207
1	573	4471
2	1606	4277
3	5875	4241

Stop Event

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

Compiler

Compiled 181 to 94 computations (48.1% saved)

preprocess281.0ms (7.9%)

Compiler: Compiled 262 to 136 computations (48.1% saved)

SynthBasics:oscSampleBasedAux from YampaSynth-0.2

analyze0.0ms (0%)

sample1.2s (32.8%)

preprocess192.0ms (5.4%)

explain68.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize37.0ms (1%)

series5.0ms (0.2%)

rewrite212.0ms (6%)

simplify114.0ms (3.2%)

eval18.0ms (0.5%)

prune18.0ms (0.5%)

localize58.0ms (1.7%)

series11.0ms (0.3%)

rewrite121.0ms (3.4%)

simplify103.0ms (2.9%)

eval55.0ms (1.5%)

prune28.0ms (0.8%)

localize18.0ms (0.5%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes13.0ms (0.4%)

regimes11.0ms (0.3%)

regimes28.0ms (0.8%)

regimes14.0ms (0.4%)

regimes20.0ms (0.6%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

bsearch21.0ms (0.6%)

bsearch48.0ms (1.4%)

bsearch54.0ms (1.5%)

bsearch67.0ms (1.9%)

simplify260.0ms (7.4%)

soundness493.0ms (13.9%)

preprocess281.0ms (7.9%)

end0.0ms (0%)

Profiling