Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

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 13 to 9 computations (30.8% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

sample906.0ms (26.4%)

Results

501.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-mult: 141.0ms (55.1% of total)

ival-add: 51.0ms (19.9% of total)

ival-sub: 49.0ms (19.1% of total)

const: 12.0ms (4.7% of total)

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

Bogosity

preprocess195.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1182×	`fma-neg`
303×	`fma-define`
196×	`distribute-rgt-in`
196×	`unsub-neg`
132×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

1×

saturated

Calls

Call 1

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

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

explain83.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`

Results

53.0ms

512×

256

valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 13.0ms (50.4% of total)

ival-sub: 9.0ms (34.9% of total)

ival-add: 3.0ms (11.6% of total)

const: 1.0ms (3.9% of total)

eval1.0ms (0%)

Compiler: Compiled 39 to 18 computations (53.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize23.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Results

17.0ms

256×

256

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

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

ival-sub: 3.0ms (58.2% of total)

ival-mult: 2.0ms (38.8% of total)

const: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite185.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log1p-expm1-u`
577×	`expm1-log1p-u`
498×	`unpow-prod-down`
359×	`prod-diff`
356×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	117	22
2	1530	22

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

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

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

412×	`distribute-lft-neg-out`
394×	`unsub-neg`
320×	`*-commutative`
308×	`distribute-lft-neg-in`
294×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	109	1359
1	233	1359
2	638	1359
3	2386	1359
4	4816	1311

Stop Event

1×	node limit

Counts

53 → 45

Calls

Call 1

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

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

eval6.0ms (0.2%)

Compiler: Compiled 553 to 242 computations (56.2% saved)

prune8.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Accuracy

100.0%

Counts

46 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	79.4%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	63.2%	(-.f64 z (*.f64 x z))

Compiler

Compiled 27 to 17 computations (37% saved)

localize297.0ms (8.6%)

Localize:

Found 2 expressions with local error:

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

Results

283.0ms

256×

256

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

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

ival-mult: 4.0ms (48.5% of total)

ival-sub: 3.0ms (36.4% of total)

ival-neg: 1.0ms (12.1% of total)

const: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

2 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite125.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`log1p-expm1-u`
902×	`expm1-log1p-u`
475×	`log-prod`
386×	`fma-define`
152×	`expm1-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	197	41
2	2991	37

Stop Event

1×	node limit

Counts

2 → 200

Calls

Call 1

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

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

simplify116.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

405×	`distribute-lft-in`
382×	`distribute-rgt-in`
380×	`associate-/l*`
288×	`*-commutative`
261×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	8409
1	910	7505
2	2497	7245

Stop Event

1×	node limit

Counts

260 → 243

Calls

Call 1

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

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

eval37.0ms (1.1%)

Compiler: Compiled 3206 to 1197 computations (62.7% saved)

prune39.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	239	4	243
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	240	6	246

Accuracy

100.0%

Counts

246 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	63.2%	(-.f64 z (*.f64 x z))
▶	79.4%	(+.f64 (*.f64 x y) z)
▶	24.9%	(*.f64 z (neg.f64 x))
▶	40.5%	(*.f64 x y)
▶	41.3%	z

Compiler

Compiled 43 to 28 computations (34.9% saved)

localize40.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Results

30.0ms

256×

256

valid

Compiler

Compiled 29 to 8 computations (72.4% saved)

Precisions

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

ival-mult: 9.0ms (77.7% of total)

ival-add: 1.0ms (8.6% of total)

ival-neg: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite77.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`prod-diff`
560×	`log1p-expm1-u`
560×	`expm1-log1p-u`
502×	`unpow-prod-down`
282×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	118	18
2	1526	18

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

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

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

simplify79.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-neg`
543×	`distribute-lft-in`
464×	`distribute-lft-neg-in`
392×	`distribute-rgt-neg-in`
291×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	2602
1	484	2560
2	1235	2535
3	4101	2508

Stop Event

1×	node limit

Counts

108 → 89

Calls

Call 1

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

Outputs
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x (+.f64 y (/.f64 z x)))
(fma.f64 x y z)
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x)))))
(fma.f64 x y z)
z
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 y (+.f64 x (/.f64 z y)))
(fma.f64 x y z)
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(fma.f64 x y z)
(*.f64 x y)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
(+.f64 z (*.f64 x y))
(fma.f64 x y z)
z
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(fma.f64 x y z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(fma.f64 x y z)
(.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)))
(fma.f64 x y z)
z
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) #s(literal 1 binary64))))
(fma.f64 x y z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y z))) #s(literal 1 binary64))
(fma.f64 x y z)
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 x y (neg.f64 z))))
(fma.f64 x y z)
(*.f64 (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 x y z)
(*.f64 (fma.f64 x y z) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 x y z)
(*.f64 #s(literal 1 binary64) (fma.f64 x y z))
(fma.f64 x y z)
(*.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(*.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))))
(fma.f64 x y z)
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 z))) #s(literal 1 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 x y z))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (fma.f64 x y z))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 7 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y z))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 8 binary64))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (fma.f64 x y z))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 x y z)) (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x y z))) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(fma.f64 x y z)
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y z)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (fma.f64 x y (neg.f64 z)))
(fma.f64 x y z)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (neg.f64 z))))
(fma.f64 x y z)
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 z (.f64 x y)))
(fma.f64 x y z)
(pow.f64 (fma.f64 x y z) #s(literal 1 binary64))
(fma.f64 x y z)
(pow.f64 (cbrt.f64 (fma.f64 x y z)) #s(literal 3 binary64))
(fma.f64 x y z)
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 x y z)
(pow.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x y z)
(pow.f64 (sqrt.f64 (fma.f64 x y z)) #s(literal 2 binary64))
(fma.f64 x y z)
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (.f64 x y) (fma.f64 x y (neg.f64 z)) (pow.f64 z #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 x y (neg.f64 z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 x y z)
(sqrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 2 binary64)))
(fma.f64 x y z)
(log.f64 (exp.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y z))))
(fma.f64 x y z)
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 x y z)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (exp.f64 z)))
(fma.f64 x y z)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y))) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(fma.f64 x y z)
(log.f64 (.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(fma.f64 x y z)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (pow.f64 (exp.f64 x) y)))
(fma.f64 x y z)
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x y)))))
(fma.f64 x y z)
(cbrt.f64 (pow.f64 (fma.f64 x y z) #s(literal 3 binary64)))
(fma.f64 x y z)
(expm1.f64 (log1p.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(log1p.f64 (expm1.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(exp.f64 (log.f64 (fma.f64 x y z)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x y z)) #s(literal 1 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y z))) #s(literal 3 binary64)))
(fma.f64 x y z)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (fma.f64 x y z))) #s(literal 1/3 binary64)))
(fma.f64 x y z)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y z))) #s(literal 2 binary64)))
(fma.f64 x y z)
(fma.f64 x y z)
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 (*.f64 x y) #s(literal 1 binary64) z)
(fma.f64 x y z)
(fma.f64 z #s(literal 1 binary64) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) (*.f64 x y) z)
(fma.f64 x y z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) z)
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) y) z)
(fma.f64 x y z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) x) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) z)
(fma.f64 x y z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x y))
(fma.f64 x y z)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) z)
(fma.f64 x y z)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) z)
(fma.f64 x y z)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) z)
(fma.f64 x y z)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) z)
(fma.f64 x y z)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) z)
(fma.f64 x y z)

eval48.0ms (1.4%)

Compiler: Compiled 1085 to 443 computations (59.2% saved)

prune22.0ms (0.6%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	4	4
Done	0	2	2
Total	89	6	95

Accuracy

100.0%

Counts

95 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	63.2%	(-.f64 z (*.f64 x z))
✓	79.4%	(+.f64 (*.f64 x y) z)
✓	24.9%	(*.f64 z (neg.f64 x))
✓	40.5%	(*.f64 x y)
✓	41.3%	z

Compiler

Compiled 86 to 47 computations (45.3% saved)

regimes13.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes28.0ms (0.8%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y
9.0ms	x
6.0ms	z

Results

Accuracy	Segments	Branch
82.6%	4	`x`
88.9%	3	`y`
91.3%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
91.3%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
79.4%	1	`y`
82.2%	3	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes23.0ms (0.7%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	z
9.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
71.0%	4	`x`
60.0%	5	`z`
66.4%	5	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.2%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

4.0ms	y
0.0ms	x
0.0ms	z

Results

Accuracy	Segments	Branch
41.3%	1	`z`
41.3%	1	`y`
41.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	5.8476430815804316e+57	6.557279318017021e+60
10.0ms	-7.085001807496977e+43	-8.144890348231205e+41

Results

21.0ms

240×

valid

Compiler

Compiled 303 to 208 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-sub: 8.0ms (58.3% of total)

ival-mult: 4.0ms (29.1% of total)

ival-add: 1.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	5.8476430815804316e+57	6.557279318017021e+60
10.0ms	-7.085001807496977e+43	-8.144890348231205e+41

Results

24.0ms

240×

valid

Compiler

Compiled 288 to 193 computations (33% saved)

Precisions

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

ival-mult: 14.0ms (81.4% of total)

ival-sub: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (1.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	1.6852382658307702e-16	1.2932465311566771e-11
24.0ms	-1.9115982830215218e-18	-3.82105160137642e-21
9.0ms	-2.9149284516682115e+156	-4.157490222584905e+155

Results

34.0ms

368×

valid

Compiler

Compiled 312 to 232 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sub: 14.0ms (62.2% of total)

ival-mult: 6.0ms (26.6% of total)

ival-add: 2.0ms (8.9% of total)

const: 0.0ms (0% of total)

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

bsearch66.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
52.0ms	1.6852382658307702e-16	1.2932465311566771e-11
12.0ms	-1.9115982830215218e-18	-3.82105160137642e-21

Results

55.0ms

272×

valid

Compiler

Compiled 222 to 166 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 43.0ms (92.1% of total)

ival-sub: 1.0ms (2.1% of total)

ival-add: 1.0ms (2.1% of total)

const: 0.0ms (0% of total)

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

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

59×	`unsub-neg`
51×	`distribute-lft-neg-in`
39×	`neg-mul-1`
27×	`neg-sub0`
25×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	336
1	93	332
2	126	332
3	163	332
4	209	332
5	245	332
6	309	332
7	357	332
8	374	332
9	395	332
10	410	332
11	431	332
12	443	332
13	446	332

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 z #s(literal -7500000000000000414014097540905643072815104 binary64)) (-.f64 z (.f64 x z)) (if (<=.f64 z #s(literal 51999999999999997635739977830216458780538159844477661872128 binary64)) (-.f64 z (.f64 x (neg.f64 y))) (-.f64 z (*.f64 x z))))
(if (<=.f64 z #s(literal -21000000000000000168887441686231580684582912 binary64)) (-.f64 z (.f64 x z)) (if (<=.f64 z #s(literal 54000000000000002262272230512856602520037723667957121286144 binary64)) (+.f64 (.f64 x y) z) (-.f64 z (*.f64 x z))))
(+.f64 (*.f64 x y) z)
(if (<=.f64 x #s(literal -550000000000000009901190176930204214624398780758914860361950273554888189068653582393263386640124829205283243420283320823197025436794610374255491636835385344 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -473797088341303/649037107316853453566312041152512 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1624177331542419/79228162514264337593543950336 binary64)) z (*.f64 x y))))
(if (<=.f64 x #s(literal -4984604984193435/10384593717069655257060992658440192 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1806402105325227/633825300114114700748351602688 binary64)) z (.f64 x y)))
z

Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 z #s(literal -7500000000000000414014097540905643072815104 binary64)) (-.f64 z (.f64 x z)) (if (<=.f64 z #s(literal 51999999999999997635739977830216458780538159844477661872128 binary64)) (-.f64 z (.f64 x (neg.f64 y))) (-.f64 z (*.f64 x z))))
(if (or (<=.f64 z #s(literal -7500000000000000414014097540905643072815104 binary64)) (not (<=.f64 z #s(literal 51999999999999997635739977830216458780538159844477661872128 binary64)))) (-.f64 z (.f64 z x)) (-.f64 z (.f64 x (neg.f64 y))))
(if (or (<=.f64 z #s(literal -7500000000000000414014097540905643072815104 binary64)) (not (<=.f64 z #s(literal 51999999999999997635739977830216458780538159844477661872128 binary64)))) (-.f64 z (.f64 z x)) (+.f64 z (.f64 x y)))
(if (<=.f64 z #s(literal -21000000000000000168887441686231580684582912 binary64)) (-.f64 z (.f64 x z)) (if (<=.f64 z #s(literal 54000000000000002262272230512856602520037723667957121286144 binary64)) (+.f64 (.f64 x y) z) (-.f64 z (*.f64 x z))))
(if (or (<=.f64 z #s(literal -21000000000000000168887441686231580684582912 binary64)) (not (<=.f64 z #s(literal 54000000000000002262272230512856602520037723667957121286144 binary64)))) (-.f64 z (.f64 z x)) (+.f64 z (.f64 x y)))
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x #s(literal -550000000000000009901190176930204214624398780758914860361950273554888189068653582393263386640124829205283243420283320823197025436794610374255491636835385344 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -473797088341303/649037107316853453566312041152512 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1624177331542419/79228162514264337593543950336 binary64)) z (*.f64 x y))))
(if (<=.f64 x #s(literal -550000000000000009901190176930204214624398780758914860361950273554888189068653582393263386640124829205283243420283320823197025436794610374255491636835385344 binary64)) (.f64 z (neg.f64 x)) (if (or (<=.f64 x #s(literal -473797088341303/649037107316853453566312041152512 binary64)) (not (<=.f64 x #s(literal 1624177331542419/79228162514264337593543950336 binary64)))) (.f64 x y) z))
(if (<=.f64 x #s(literal -4984604984193435/10384593717069655257060992658440192 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1806402105325227/633825300114114700748351602688 binary64)) z (.f64 x y)))
(if (or (<=.f64 x #s(literal -4984604984193435/10384593717069655257060992658440192 binary64)) (not (<=.f64 x #s(literal 1806402105325227/633825300114114700748351602688 binary64)))) (*.f64 x y) z)
z

soundness685.0ms (19.9%)

Rules

1182×	`fma-neg`
902×	`log1p-expm1-u`
902×	`expm1-log1p-u`
475×	`log-prod`
412×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	109	1359
1	233	1359
2	638	1359
3	2386	1359
4	4816	1311
0	411	8409
1	910	7505
2	2497	7245
0	15	48
1	197	41
2	2991	37
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

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

Compiler

Compiled 299 to 142 computations (52.5% saved)

preprocess72.0ms (2.1%)

Compiler: Compiled 200 to 102 computations (49% saved)

Iter	Nodes	Cost
0	52	336
1	93	332
2	126	332
3	163	332
4	209	332
5	245	332
6	309	332
7	357	332
8	374	332
9	395	332
10	410	332
11	431	332
12	443	332
13	446	332

Iter	Nodes	Cost
0	52	336
1	93	332
2	126	332
3	163	332
4	209	332
5	245	332
6	309	332
7	357	332
8	374	332
9	395	332
10	410	332
11	431	332
12	443	332
13	446	332

analyze0.0ms (0%)

sample906.0ms (26.4%)

preprocess195.0ms (5.7%)

explain83.0ms (2.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize23.0ms (0.7%)

series5.0ms (0.1%)

rewrite185.0ms (5.4%)

simplify76.0ms (2.2%)

eval6.0ms (0.2%)

prune8.0ms (0.2%)

localize297.0ms (8.6%)

series7.0ms (0.2%)

rewrite125.0ms (3.6%)

simplify116.0ms (3.4%)

eval37.0ms (1.1%)

prune39.0ms (1.1%)

localize40.0ms (1.2%)

series2.0ms (0.1%)

rewrite77.0ms (2.3%)

simplify79.0ms (2.3%)

eval48.0ms (1.4%)

prune22.0ms (0.6%)

regimes13.0ms (0.4%)

regimes28.0ms (0.8%)

regimes10.0ms (0.3%)

regimes5.0ms (0.2%)

regimes23.0ms (0.7%)

regimes3.0ms (0.1%)

regimes5.0ms (0.2%)

bsearch30.0ms (0.9%)

bsearch34.0ms (1%)

bsearch48.0ms (1.4%)

bsearch66.0ms (1.9%)

simplify32.0ms (0.9%)

soundness685.0ms (19.9%)

preprocess72.0ms (2.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	52	336
1	93	332
2	126	332
3	163	332
4	209	332
5	245	332
6	309	332
7	357	332
8	374	332
9	395	332
10	410	332
11	431	332
12	443	332
13	446	332