Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

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-div: 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)

sample756.0ms (31.3%)

Results

490.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-add: 86.0ms (34.7% of total)

ival-mult: 77.0ms (31% of total)

ival-div: 71.0ms (28.6% of total)

const: 11.0ms (4.4% of total)

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

Bogosity

preprocess269.0ms (11.1%)

Algorithm

1×	egg-herbie

Rules

1010×	`fma-neg`
531×	`fma-define`
206×	`distribute-rgt-in`
150×	`sub-neg`
138×	`unsub-neg`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	371
2	275	371
3	801	323
4	1690	297
5	2822	292
6	3298	292
7	3484	292
8	3535	292
9	3543	292
10	3543	276
11	4081	276
12	4081	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 y (neg.f64 x))) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) (neg.f64 z)))
(+.f64 (+.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z #s(literal 2 binary64)) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 z x)) y)

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

explain136.0ms (5.6%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 y x)`
-	-	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
-	-	`(/.f64 x #s(literal 2 binary64))`
-	-	`z`
-	-	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`
-	-	`#s(literal 2 binary64)`
-	-	`y`

Results

55.0ms

512×

256

valid

Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 11.0ms (40.3% of total)

ival-add: 11.0ms (40.3% of total)

ival-mult: 4.0ms (14.6% of total)

const: 1.0ms (3.7% of total)

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)

Compiler

Compiled 10 to 7 computations (30% saved)

localize33.0ms (1.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 y #s(literal -1/2 binary64)))

Results

25.0ms

256×

256

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

Precisions

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

ival-sub: 6.0ms (48% of total)

ival-mult: 4.0ms (32% of total)

ival-add: 1.0ms (8% of total)

const: 1.0ms (8% of total)

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (*.f64 x (-.f64 y #s(literal -1/2 binary64)))>

Outputs
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (+.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* x (- y -1/2))
1.0ms	x	@	0	(* x (- y -1/2))
0.0ms	y	@	inf	(* x (- y -1/2))
0.0ms	x	@	-inf	(* x (- y -1/2))
0.0ms	x	@	inf	(* x (- y -1/2))

rewrite177.0ms (7.3%)

Algorithm

1×	batch-egg-rewrite

Rules

463×	`log1p-expm1-u`
463×	`expm1-log1p-u`
441×	`add-exp-log`
427×	`add-log-exp`
395×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	102	19
2	1234	19

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x))

simplify86.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-neg`
421×	`times-frac`
256×	`associate-+r+`
249×	`prod-exp`
245×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1278
1	206	1278
2	505	1276
3	1969	1276
4	3918	1276

Stop Event

1×	node limit

Counts

53 → 51

Calls

Call 1

Inputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x))

Outputs
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x y))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(.f64 y (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 x y) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 y x) (.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x (-.f64 y #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (.f64 x (-.f64 y #s(literal -1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1/2 binary64) y)) x))))
(.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (.f64 x (-.f64 y #s(literal -1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)))))
(.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal -1/2 binary64))))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 x (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 x (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64))))
(*.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 y y (fma.f64 y #s(literal -1/2 binary64) #s(literal 1/4 binary64)))))
(.f64 x (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 y (+.f64 y #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1/4 binary64)) x) (+.f64 y #s(literal -1/2 binary64)))
(*.f64 x (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 x (+.f64 y #s(literal -1/2 binary64))))
(pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) y))))
(pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal -1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal -1/2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 y #s(literal -1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y #s(literal 1/2 binary64))) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))
(fma.f64 y x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (+.f64 #s(literal 1/2 binary64) y))
(*.f64 x (-.f64 y #s(literal -1/2 binary64)))

eval10.0ms (0.4%)

Compiler: Compiled 631 to 427 computations (32.3% saved)

prune8.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Accuracy

100.0%

Counts

52 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
▶	77.5%	(+.f64 (*.f64 x y) z)
▶	62.7%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize32.0ms (1.3%)

Localize:

Found 1 expressions with local error:

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

Results

24.0ms

256×

256

valid

Compiler

Compiled 26 to 12 computations (53.8% saved)

Precisions

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

ival-mult: 5.0ms (58.8% of total)

ival-add: 3.0ms (35.3% of total)

const: 1.0ms (11.8% of total)

series4.0ms (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	x	@	-inf	(+ (* x y) z)
0.0ms	x	@	0	(+ (* x y) z)
0.0ms	y	@	inf	(+ (* x y) z)

rewrite90.0ms (3.7%)

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)

simplify96.0ms (4%)

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)

eval22.0ms (0.9%)

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

prune65.0ms (2.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	87	5	92

Accuracy

100.0%

Counts

92 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	77.5%	(+.f64 (*.f64 x y) z)
✓	62.7%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
▶	39.2%	(*.f64 x y)
▶	40.8%	z

Compiler

Compiled 36 to 25 computations (30.6% saved)

localize17.0ms (0.7%)

Results

11.0ms

256×

256

valid

Compiler

Compiled 10 to 5 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (88.2% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
✓	77.5%	(+.f64 (*.f64 x y) z)
✓	62.7%	(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
✓	39.2%	(*.f64 x y)
✓	40.8%	z

Compiler

Compiled 69 to 42 computations (39.1% saved)

regimes14.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

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

Calls

5 calls:

4.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms	(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes14.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)

Outputs
(+.f64 (*.f64 x y) z)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(+.f64 (*.f64 x y) z)

Calls

3 calls:

5.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
80.9%	3	`x`
99.0%	3	`y`
80.9%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)

Outputs
(*.f64 x y)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) z)
(*.f64 x y)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

3 calls:

4.0ms	y
3.0ms	z
3.0ms	x

Results

Accuracy	Segments	Branch
55.3%	3	`z`
62.4%	3	`x`
67.6%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

0.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
40.8%	1	`z`
40.8%	1	`x`
40.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch20.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	32326.191180406975	58310.87789985046
12.0ms	-2.7074031726524064	-0.0007544891281537546

Results

12.0ms

192×

valid

Compiler

Compiled 234 to 169 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.1% of total)

ival-add: 2.0ms (34.1% of total)

ival-mult: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.918024138734286e+51	5.690801711229974e+52
11.0ms	-507.62345913963634	-2.7074031726524064

Results

12.0ms

208×

valid

Compiler

Compiled 226 to 169 computations (25.2% saved)

Precisions

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

ival-div: 2.0ms (36.4% of total)

ival-add: 2.0ms (36.4% of total)

ival-mult: 1.0ms (18.2% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.918024138734286e+51	5.690801711229974e+52
10.0ms	-507.62345913963634	-2.7074031726524064

Results

17.0ms

208×

valid

Compiler

Compiled 174 to 130 computations (25.3% saved)

Precisions

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

ival-mult: 7.0ms (66.3% of total)

ival-div: 2.0ms (18.9% of total)

ival-add: 2.0ms (18.9% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
5×	`+-commutative`
4×	`*-commutative`
2×	`sub-neg`
1×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	215
1	56	215
2	61	215
3	63	215
4	64	215

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 33000 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 8499999999999999942378063732073837799924521756524544 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 6200000000000000223815480938025268034824004396122112 binary64)) z (.f64 x y)))
z

Outputs
(+.f64 (*.f64 x (-.f64 y #s(literal -1/2 binary64))) z)
(if (<=.f64 y #s(literal -1/2 binary64)) (+.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 33000 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (+.f64 (*.f64 x y) z)))
(if (or (<=.f64 y #s(literal -1/2 binary64)) (not (<=.f64 y #s(literal 33000 binary64)))) (+.f64 z (.f64 x y)) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 8499999999999999942378063732073837799924521756524544 binary64)) (+.f64 (.f64 x #s(literal 1/2 binary64)) z) (*.f64 x y)))
(if (or (<=.f64 y #s(literal -500 binary64)) (not (<=.f64 y #s(literal 8499999999999999942378063732073837799924521756524544 binary64)))) (.f64 x y) (+.f64 z (.f64 x #s(literal 1/2 binary64))))
(if (<=.f64 y #s(literal -500 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 6200000000000000223815480938025268034824004396122112 binary64)) z (.f64 x y)))
(if (or (<=.f64 y #s(literal -500 binary64)) (not (<=.f64 y #s(literal 6200000000000000223815480938025268034824004396122112 binary64)))) (*.f64 x y) z)
z

soundness373.0ms (15.5%)

Rules

1010×	`fma-neg`
531×	`fma-define`
528×	`fma-neg`
421×	`times-frac`
256×	`associate-+r+`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	105	1278
1	206	1278
2	505	1276
3	1969	1276
4	3918	1276
0	40	435
1	99	371
2	275	371
3	801	323
4	1690	297
5	2822	292
6	3298	292
7	3484	292
8	3535	292
9	3543	292
10	3543	276
11	4081	276
12	4081	276

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 186 to 107 computations (42.5% saved)

preprocess116.0ms (4.8%)

Compiler: Compiled 144 to 88 computations (38.9% saved)

Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

analyze0.0ms (0%)

sample756.0ms (31.3%)

preprocess269.0ms (11.1%)

explain136.0ms (5.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize33.0ms (1.4%)

series4.0ms (0.1%)

rewrite177.0ms (7.3%)

simplify86.0ms (3.6%)

eval10.0ms (0.4%)

prune8.0ms (0.3%)

localize32.0ms (1.3%)

series4.0ms (0.1%)

rewrite90.0ms (3.7%)

simplify96.0ms (4%)

eval22.0ms (0.9%)

prune65.0ms (2.7%)

localize17.0ms (0.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes14.0ms (0.6%)

regimes14.0ms (0.6%)

regimes4.0ms (0.2%)

regimes12.0ms (0.5%)

regimes2.0ms (0.1%)

bsearch20.0ms (0.8%)

bsearch22.0ms (0.9%)

bsearch25.0ms (1%)

simplify5.0ms (0.2%)

soundness373.0ms (15.5%)

preprocess116.0ms (4.8%)

end0.0ms (0%)

Profiling