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

analyze1.0ms (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 7 to 7 computations (0% saved)

sample544.0ms (23.7%)

Results

371.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-mult: 59.0ms (49.2% of total)

ival-add: 50.0ms (41.7% of total)

ival-true: 6.0ms (5% of total)

ival-assert: 4.0ms (3.3% of total)

Bogosity

preprocess90.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

307×	`fma-define`
258×	`fmm-def`
99×	`distribute-lft-in`
92×	`distribute-rgt-in`
84×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	254
1	65	246
2	164	246
3	589	246
4	1148	246
5	1625	246
6	1725	246
7	1742	246

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs z)

(sort x y)

explain86.0ms (3.8%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Results

64.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (42% of total)

ival-mult: 3.0ms (42% of total)

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(*.f64 (+.f64 x y) z)

Rules

4×	`fma-define`
3×	`*-commutative`
2×	`distribute-rgt-in`
2×	`distribute-lft-in`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	13	47
2	21	47
3	28	47

Stop Event

1×

saturated

Calls

Call 1

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

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

localize22.0ms (1%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) z)

Results

17.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-mult: 4.0ms (70.1% of total)

ival-add: 1.0ms (17.5% of total)

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

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

series5.0ms (0.2%)

Counts

2 → 54

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite210.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log1p-expm1-u`
568×	`expm1-log1p-u`
482×	`unpow-prod-down`
455×	`prod-diff`
278×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	116	35
2	1522	35

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(+.f64 (.f64 z x) (.f64 z y))
(+.f64 (.f64 z y) (.f64 z x))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 y z) (.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 x y) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x y) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)

simplify163.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

577×	`fmm-def`
467×	`distribute-lft-neg-in`
393×	`distribute-rgt-neg-in`
335×	`fma-define`
316×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	4089
1	554	4035
2	1482	3966
3	5019	3084

Stop Event

1×	node limit

Counts

148 → 123

Calls

Call 1

Inputs
(*.f64 y z)
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 x z)
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 x z)
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 y z)
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
x
y
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) z))
(+.f64 (.f64 z x) (.f64 z y))
(+.f64 (.f64 z y) (.f64 z x))
(+.f64 (.f64 x z) (.f64 y z))
(+.f64 (.f64 y z) (.f64 x z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 z (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) z) (-.f64 x y))
(pow.f64 (*.f64 (+.f64 x y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x y) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x y) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 x y) z)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x y) z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (+.f64 x y) z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 (+.f64 x y) z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 x y) z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (+.f64 x y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 y z))
(fma.f64 y z (*.f64 x z))
(fma.f64 z x (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 x y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x y) (cbrt.f64 (+.f64 x y))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x y) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 y x))
(pow.f64 (+.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 y)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 y))))
(log.f64 (*.f64 (exp.f64 y) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x y)))
(log1p.f64 (expm1.f64 (+.f64 x y)))
(exp.f64 (log.f64 (+.f64 x y)))
(exp.f64 (*.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x y))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)

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

eval79.0ms (3.4%)

Compiler: Compiled 1351 to 373 computations (72.4% saved)

prune17.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Accuracy

100.0%

Counts

124 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
▶	53.5%	(*.f64 z x)
▶	55.3%	(*.f64 y z)
▶	89.9%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify179.0ms (7.8%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(*.f64 z y)
✓	cost-diff	128	(+.f64 (.f64 z y) (.f64 z x))
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	-6272	(+.f64 z (/.f64 (*.f64 y z) x))
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(/.f64 (*.f64 y z) x)
✓	cost-diff	256	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Rules

1028×	`fma-define`
770×	`times-frac`
761×	`associate-/r*`
582×	`associate-/l/`
427×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	238
1	32	226
2	56	226
3	80	220
4	104	198
5	128	198
6	273	198
7	698	198
8	2993	198
9	3719	198
10	4315	198
11	4765	198
12	4889	198
13	5042	198
14	6814	198
15	6958	198
16	7301	198
17	7907	198

Stop Event

1×	node limit

Calls

Call 1

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

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

localize75.0ms (3.3%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z y)
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	98.9%	(+.f64 (.f64 z y) (.f64 z x))
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(+.f64 z (/.f64 (*.f64 y z) x))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	93.4%	(/.f64 (*.f64 y z) x)
✓	accuracy	90.6%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Results

57.0ms

256×

valid

Compiler

Compiled 55 to 12 computations (78.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 35.0ms (87.7% of total)

ival-div: 2.0ms (5% of total)

ival-add: 2.0ms (5% of total)

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

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

series19.0ms (0.8%)

Counts

7 → 144

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite164.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	154
1	247	146
2	3517	146

Stop Event

1×	node limit

Counts

7 → 289

Calls

Call 1

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

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

simplify244.0ms (10.6%)

Algorithm

1×	egg-herbie

Rules

545×	`distribute-lft-neg-in`
528×	`distribute-rgt-neg-in`
515×	`fmm-def`
345×	`associate-r`
303×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	550	12156
1	1281	11477
2	4102	11409

Stop Event

1×	node limit

Counts

433 → 329

Calls

Call 1

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

Outputs
(*.f64 y z)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 x (.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(fma.f64 y (/.f64 z x) z)
z
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))
(*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (/.f64 z y)))))
(*.f64 y (+.f64 (/.f64 z x) (/.f64 z y)))
(/.f64 (*.f64 y z) x)
(*.f64 y (/.f64 z x))
(/.f64 (+.f64 (.f64 x z) (.f64 y z)) x)
(/.f64 (*.f64 z (+.f64 y x)) x)
(*.f64 z (/.f64 (+.f64 y x) x))
(*.f64 (+.f64 y x) (/.f64 z x))
(/.f64 (+.f64 (.f64 x z) (.f64 y z)) x)
(/.f64 (*.f64 z (+.f64 y x)) x)
(*.f64 z (/.f64 (+.f64 y x) x))
(*.f64 (+.f64 y x) (/.f64 z x))
(/.f64 (+.f64 (.f64 x z) (.f64 y z)) x)
(/.f64 (*.f64 z (+.f64 y x)) x)
(*.f64 z (/.f64 (+.f64 y x) x))
(*.f64 (+.f64 y x) (/.f64 z x))
z
z
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 x z)
(*.f64 z x)
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (/.f64 (.f64 z x) y)))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(*.f64 z (+.f64 y x))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(*.f64 z (+.f64 y x))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
(*.f64 y z)
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(log1p.f64 (expm1.f64 (*.f64 z y)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 z y)))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (.f64 z y)) #s(literal 1 binary64)))
(*.f64 y z)

eval88.0ms (3.8%)

Compiler: Compiled 4907 to 870 computations (82.3% saved)

prune57.0ms (2.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	357	0	357
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	357	5	362

Accuracy

100.0%

Counts

362 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(+.f64 (.f64 z y) (.f64 z x))
✓	100.0%	(*.f64 (+.f64 x y) z)
✓	53.5%	(*.f64 z x)
✓	55.3%	(*.f64 y z)
✓	89.9%	(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))

Compiler

Compiled 72 to 38 computations (47.2% saved)

regimes12.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes7.0ms (0.3%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
88.2%	2	`x`
86.3%	2	`y`
63.9%	4	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y z)

Outputs
(*.f64 y z)

Calls

3 calls:

1.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
55.3%	1	`z`
55.3%	1	`y`
55.3%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch9.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	-7.196736668100922e-94	-9.750667746204053e-96

Results

5.0ms

112×

valid

Compiler

Compiled 109 to 81 computations (25.7% saved)

Precisions

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

ival-add: 1.0ms (65.6% of total)

ival-mult: 1.0ms (65.6% of total)

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

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

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	73
1	23	73

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal -7703219671498173/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (*.f64 z x) (*.f64 y z))

(*.f64 y z)

Outputs
(*.f64 (+.f64 x y) z)
(if (<=.f64 x #s(literal -7703219671498173/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 z x) (.f64 y z))
(if (<=.f64 x #s(literal -7703219671498173/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (.f64 x z) (.f64 y z))
(*.f64 y z)

soundness181.0ms (7.9%)

Rules

577×	`fmm-def`
467×	`distribute-lft-neg-in`
393×	`distribute-rgt-neg-in`
335×	`fma-define`
316×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	4089
1	554	4035
2	1482	3966
3	5019	3084

Stop Event

1×	done
1×	node limit

Compiler

Compiled 30 to 15 computations (50% saved)

preprocess29.0ms (1.3%)

Remove

(sort x y)

(negabs z)

Compiler

Compiled 154 to 90 computations (41.6% saved)

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

analyze1.0ms (0%)

sample544.0ms (23.7%)

preprocess90.0ms (3.9%)

explain86.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.3%)

localize22.0ms (1%)

series5.0ms (0.2%)

rewrite210.0ms (9.2%)

simplify163.0ms (7.1%)

eval79.0ms (3.4%)

prune17.0ms (0.7%)

simplify179.0ms (7.8%)

localize75.0ms (3.3%)

series19.0ms (0.8%)

rewrite164.0ms (7.2%)

simplify244.0ms (10.6%)

eval88.0ms (3.8%)

prune57.0ms (2.5%)

regimes12.0ms (0.5%)

regimes7.0ms (0.3%)

regimes4.0ms (0.2%)

bsearch9.0ms (0.4%)

simplify2.0ms (0.1%)

soundness181.0ms (7.9%)

preprocess29.0ms (1.3%)

end0.0ms (0%)

Profiling