Metrics for Main:bigenough2 from A

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-add: 0.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

sample663.0ms (22.7%)

Results

440.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-add: 114.0ms (55.3% of total)

ival-mult: 82.0ms (39.8% of total)

const: 8.0ms (3.9% of total)

backward-pass: 3.0ms (1.5% of total)

Bogosity

preprocess177.0ms (6%)

Algorithm

1×	egg-herbie

Rules

994×	`fma-neg`
513×	`fma-define`
210×	`distribute-rgt-in`
181×	`unsub-neg`
147×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	369
1	106	313
2	363	313
3	949	313
4	2595	313
5	3322	313
6	3432	313
7	3432	313
8	4189	313
9	4189	313

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

explain68.0ms (2.3%)

FPErrors

Click to see full error table

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

Results

44.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 8.0ms (62.2% of total)

ival-mult: 4.0ms (31.1% of total)

const: 1.0ms (7.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

localize34.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Results

25.0ms

256×

valid

Compiler

Compiled 34 to 9 computations (73.5% saved)

Precisions

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

ival-add: 4.0ms (42.5% of total)

ival-fma: 3.0ms (31.9% of total)

ival-mult: 2.0ms (21.2% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Counts

1 → 36

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) y)) (.f64 y z))>
#<alt (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 y z))>
#<alt (+.f64 (.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 y z))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) y))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (.f64 y z) x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 (.f64 y z) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) 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 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (+.f64 x (*.f64 y (+.f64 x z)))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))>
#<alt (*.f64 y (+.f64 x z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (+.f64 x z)) (.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (+.f64 x (*.f64 x y))>
#<alt (+.f64 x (+.f64 (.f64 x y) (.f64 y z)))>
#<alt (+.f64 x (+.f64 (.f64 x y) (.f64 y z)))>
#<alt (+.f64 x (+.f64 (.f64 x y) (.f64 y z)))>
#<alt (*.f64 y z)>
#<alt (.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (.f64 x y) z))))>
#<alt (.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (.f64 x y) z))))>
#<alt (.f64 z (+.f64 y (+.f64 (/.f64 x z) (/.f64 (.f64 x y) 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 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 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 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	x	@	-inf	(+ x (* y (+ z x)))
0.0ms	y	@	-inf	(+ x (* y (+ z x)))
0.0ms	x	@	0	(+ x (* y (+ z x)))

rewrite205.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`log1p-expm1-u`
864×	`expm1-log1p-u`
441×	`fma-define`
385×	`log-prod`
199×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	151	27
2	2361	27

Stop Event

1×	node limit

Counts

1 → 76

Calls

Call 1

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

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

simplify128.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-define`
472×	`distribute-lft-in`
470×	`distribute-rgt-in`
246×	`sub-neg`
226×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	4311
1	570	3714
2	1615	3654
3	6266	3642

Stop Event

1×	node limit

Counts

112 → 107

Calls

Call 1

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

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

eval15.0ms (0.5%)

Compiler: Compiled 1385 to 460 computations (66.8% saved)

prune18.0ms (0.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	103	6	109

Accuracy

100.0%

Counts

109 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
▶	68.8%	(*.f64 y (+.f64 z x))
▶	89.4%	(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
▶	46.5%	(*.f64 y z)
▶	55.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	32.1%	x

Compiler

Compiled 86 to 56 computations (34.9% saved)

localize55.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	100.0%	(+.f64 x (+.f64 z (/.f64 x y)))
✓	100.0%	(+.f64 z (/.f64 x y))
✓	89.5%	(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))

Results

40.0ms

256×

valid

Compiler

Compiled 59 to 17 computations (71.2% saved)

Precisions

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

ival-mult: 9.0ms (49.4% of total)

ival-add: 6.0ms (32.9% of total)

ival-div: 2.0ms (11% of total)

const: 1.0ms (5.5% of total)

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

series16.0ms (0.5%)

Counts

4 → 108

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite156.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u`
861×	`expm1-log1p-u`
625×	`fma-define`
334×	`fma-neg`
204×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	112
1	239	111
2	3748	111

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

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

simplify162.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

451×	`cancel-sign-sub-inv`
375×	`fma-neg`
283×	`distribute-lft-neg-in`
272×	`distribute-rgt-neg-in`
239×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	533	13418
1	1288	11568
2	3920	11231

Stop Event

1×	node limit

Counts

340 → 319

Calls

Call 1

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

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

eval50.0ms (1.7%)

Compiler: Compiled 4723 to 1609 computations (65.9% saved)

prune53.0ms (1.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	318	1	319
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	318	7	325

Accuracy

100.0%

Counts

325 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 y (+.f64 z x)))
✓	68.8%	(*.f64 y (+.f64 z x))
✓	89.4%	(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
✓	46.5%	(*.f64 y z)
✓	55.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	26.1%	(*.f64 x y)
✓	32.1%	x

Compiler

Compiled 54 to 35 computations (35.2% saved)

localize149.0ms (5.1%)

Results

145.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

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

ival-mult: 2.0ms (74.9% of total)

const: 0.0ms (0% of total)

backward-pass: 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)))
✓	68.8%	(*.f64 y (+.f64 z x))
✓	89.4%	(*.f64 y (+.f64 x (+.f64 z (/.f64 x y))))
✓	46.5%	(*.f64 y z)
✓	55.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	26.1%	(*.f64 x y)
✓	32.1%	x

Compiler

Compiled 96 to 52 computations (45.8% saved)

regimes25.0ms (0.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	x
3.0ms	y
3.0ms	z
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 (0.4%)

Counts

7 → 1

Calls

Call 1

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

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)

regimes70.0ms (2.4%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	z
28.0ms	y
5.0ms	x

Results

Accuracy	Segments	Branch
82.5%	3	`x`
86.0%	5	`y`
82.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes49.0ms (1.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
78.0%	5	`z`
76.8%	3	`x`
66.6%	5	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (1.1%)

Counts

3 → 6

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
7.0ms	y
6.0ms	z

Results

Accuracy	Segments	Branch
65.8%	6	`y`
61.3%	4	`z`
61.5%	4	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 x y)

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

Calls

3 calls:

3.0ms	z
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
35.8%	3	`z`
34.2%	2	`x`
54.9%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
32.1%	1	`z`
32.1%	1	`x`
32.1%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch45.0ms (1.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	3.591620064084775e-21	2.8956786144275185e-15
10.0ms	-2.6918137480457144e-128	-1.3799226957259889e-130
12.0ms	-1.2207602919912877e-79	-1.0113419687785091e-85
9.0ms	-77153197410.73038	-4772899770.065562

Results

26.0ms

512×

valid

Compiler

Compiled 496 to 363 computations (26.8% saved)

Precisions

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

ival-add: 6.0ms (58.9% of total)

ival-mult: 4.0ms (39.3% of total)

const: 0.0ms (0% of total)

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

bsearch90.0ms (3.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
78.0ms	1.5977964912353779e-16	2.1084775039632552e-16
10.0ms	-1.0537522591186331e+35	-1.6280036810827692e+32

Results

9.0ms

176×

valid

Compiler

Compiled 192 to 143 computations (25.5% saved)

Precisions

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

ival-add: 2.0ms (56.4% of total)

ival-mult: 1.0ms (28.2% of total)

const: 0.0ms (0% of total)

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

bsearch52.0ms (1.8%)

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	1.9933095746824896e+220	2.4805346317050806e+221
10.0ms	1.6808361443248459e+195	2.6016914413049857e+198
15.0ms	3.591620064084775e-21	2.8956786144275185e-15
3.0ms	-1.9621012326252087	-1.7541120943164386
10.0ms	-1.426395427121767e+199	-3.28627761424938e+196

Results

33.0ms

528×

valid

Compiler

Compiled 456 to 330 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 9.0ms (51.9% of total)

ival-mult: 7.0ms (40.3% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.246221346990075e-13	1.1601248569007987
3.0ms	-1.9621012326252087	-1.7541120943164386

Results

12.0ms

192×

valid

Compiler

Compiled 160 to 119 computations (25.6% saved)

Precisions

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

ival-add: 2.0ms (52.7% of total)

ival-mult: 1.0ms (26.3% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
4×	`*-commutative`
3×	`1-exp`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	424
1	83	424

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(if (<=.f64 y #s(literal -4800000000 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal -7839106597622315/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal -5072841394263487/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)) x (.f64 y (+.f64 z x))))))
(if (<=.f64 x #s(literal -380000000000000031200055482384384 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 6490371073168535/40564819207303340847894502572032 binary64)) (.f64 y z) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -439999999999999978503048684126345810349123060292193534776529691185234515844998204064249067123582970036218519745754083295105723143024309696075972380756163975725896127688430700034198407682079793872896 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 8515366847997117/41538374868278621028243970633760768 binary64)) x (if (<=.f64 y #s(literal 2300000000000000053610195422263798712775821453719275881375163584529383696288783799780141671025964108450333311100593570570513562699658640707112262279514596734042177668384435232626036539853070779023360 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648 binary64)) (.f64 x y) (*.f64 y z))))))
(if (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
x

Outputs
(fma.f64 y (+.f64 x z) x)
(+.f64 x (*.f64 y (+.f64 z x)))
(+.f64 x (*.f64 y (+.f64 x z)))
(if (<=.f64 y #s(literal -4800000000 binary64)) (.f64 y (+.f64 z x)) (if (<=.f64 y #s(literal -7839106597622315/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal -5072841394263487/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)) x (.f64 y (+.f64 z x))))))
(if (<=.f64 y #s(literal -4800000000 binary64)) (.f64 y (+.f64 x z)) (if (<=.f64 y #s(literal -7839106597622315/69992023193056381579920071267763883691301421788582797965624659405118495974380029543152421664737722368 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 y #s(literal -5072841394263487/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 5399988732876221/20769187434139310514121985316880384 binary64)) x (.f64 y (+.f64 x z))))))
(if (<=.f64 x #s(literal -380000000000000031200055482384384 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 6490371073168535/40564819207303340847894502572032 binary64)) (.f64 y z) (*.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -380000000000000031200055482384384 binary64)) (not (<=.f64 x #s(literal 6490371073168535/40564819207303340847894502572032 binary64)))) (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 y z))
(if (<=.f64 y #s(literal -439999999999999978503048684126345810349123060292193534776529691185234515844998204064249067123582970036218519745754083295105723143024309696075972380756163975725896127688430700034198407682079793872896 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 8515366847997117/41538374868278621028243970633760768 binary64)) x (if (<=.f64 y #s(literal 2300000000000000053610195422263798712775821453719275881375163584529383696288783799780141671025964108450333311100593570570513562699658640707112262279514596734042177668384435232626036539853070779023360 binary64)) (.f64 y z) (if (<=.f64 y #s(literal 72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648 binary64)) (.f64 x y) (*.f64 y z))))))
(if (<=.f64 y #s(literal -439999999999999978503048684126345810349123060292193534776529691185234515844998204064249067123582970036218519745754083295105723143024309696075972380756163975725896127688430700034198407682079793872896 binary64)) (.f64 y z) (if (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 8515366847997117/41538374868278621028243970633760768 binary64)) x (if (or (<=.f64 y #s(literal 2300000000000000053610195422263798712775821453719275881375163584529383696288783799780141671025964108450333311100593570570513562699658640707112262279514596734042177668384435232626036539853070779023360 binary64)) (not (<=.f64 y #s(literal 72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648 binary64)))) (.f64 y z) (.f64 y x)))))
(if (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 1 binary64)) x (.f64 x y)))
(if (or (<=.f64 y #s(literal -8106479329266893/4503599627370496 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 y x) x)
x

soundness421.0ms (14.4%)

Rules

994×	`fma-neg`
641×	`fma-define`
513×	`fma-define`
472×	`distribute-lft-in`
470×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	369
1	106	313
2	363	313
3	949	313
4	2595	313
5	3322	313
6	3432	313
7	3432	313
8	4189	313
9	4189	313
0	229	4311
1	570	3714
2	1615	3654
3	6266	3642

Stop Event

1×	done
1×	node limit
1×	saturated

Compiler

Compiled 171 to 83 computations (51.5% saved)

preprocess130.0ms (4.5%)

Compiler: Compiled 252 to 126 computations (50% saved)

Main:bigenough2 from A

analyze0.0ms (0%)

sample663.0ms (22.7%)

preprocess177.0ms (6%)

explain68.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (1.2%)

series7.0ms (0.2%)

rewrite205.0ms (7%)

simplify128.0ms (4.4%)

eval15.0ms (0.5%)

prune18.0ms (0.6%)

localize55.0ms (1.9%)

series16.0ms (0.5%)

rewrite156.0ms (5.3%)

simplify162.0ms (5.6%)

eval50.0ms (1.7%)

prune53.0ms (1.8%)

localize149.0ms (5.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes25.0ms (0.9%)

regimes11.0ms (0.4%)

regimes70.0ms (2.4%)

regimes49.0ms (1.7%)

regimes32.0ms (1.1%)

regimes9.0ms (0.3%)

regimes2.0ms (0.1%)

bsearch45.0ms (1.5%)

bsearch90.0ms (3.1%)

bsearch52.0ms (1.8%)

bsearch19.0ms (0.6%)

simplify5.0ms (0.2%)

soundness421.0ms (14.4%)

preprocess130.0ms (4.5%)

end0.0ms (0%)

Profiling