Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

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 9 to 7 computations (22.2% saved)

sample799.0ms (27.8%)

Results

536.0ms	8254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-add: 101.0ms (47.8% of total)

ival-mult: 99.0ms (46.9% of total)

ival-true: 6.0ms (2.8% of total)

ival-assert: 4.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess94.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

564×	`fmm-def`
418×	`fma-define`
84×	`cancel-sign-sub-inv`
70×	`unsub-neg`
69×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1492	168
5	2133	168
6	2246	168
7	2250	168

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(sort x y)

explain73.0ms (2.5%)

FPErrors

Click to see full error table

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

30.0ms

512×

valid

Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions

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

ival-add: 5.0ms (50.5% of total)

ival-mult: 5.0ms (50.5% of total)

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

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

eval1.0ms (0%)

Compiler: Compiled 26 to 10 computations (61.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
▶	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
✓	cost-diff	-6272	(+.f64 (*.f64 x y) x)
✓	cost-diff	-6272	(+.f64 (+.f64 (*.f64 x y) x) y)
✓	cost-diff	0	(*.f64 x y)

Rules

61×	`fma-define`
6×	`*-commutative`
6×	`distribute-rgt-in`
6×	`+-commutative`
5×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106

Stop Event

1×

saturated

Calls

Call 1

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

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

localize74.0ms (2.6%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 x y) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

64.0ms

256×

valid

Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions

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

ival-add: 3.0ms (34.4% of total)

ival-fma: 3.0ms (34.4% of total)

ival-mult: 2.0ms (23% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Counts

5 → 84

Calls

Call 1

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

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

Calls

27 calls:

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

rewrite351.0ms (12.2%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`log1p-expm1-u`
935×	`expm1-log1p-u`
643×	`fma-define`
394×	`log-prod`
319×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	95
1	186	89
2	2778	89

Stop Event

1×	node limit

Counts

5 → 273

Calls

Call 1

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

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

simplify187.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-/l*`
458×	`cancel-sign-sub-inv`
411×	`fmm-def`
273×	`associate-+r+`
263×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	10309
1	1082	10070
2	3052	9738

Stop Event

1×	node limit

Counts

357 → 284

Calls

Call 1

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

Outputs
y
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(fma.f64 y x y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
x
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y)))))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(fma.f64 x y y)
(fma.f64 y x y)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 y (+.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(fma.f64 x y y)
(fma.f64 y x y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
y
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(+.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(fma.f64 y x x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
(fma.f64 y (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 y (/.f64 y x))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) y)
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eval34.0ms (1.2%)

Compiler: Compiled 3565 to 700 computations (80.4% saved)

prune48.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	279	5	284
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	281	5	286

Accuracy

100.0%

Counts

286 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 y (*.f64 x y)) x)
▶	63.5%	(*.f64 y (+.f64 #s(literal 1 binary64) x))
▶	60.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	41.0%	y
▶	38.5%	x

Compiler

Compiled 58 to 38 computations (34.5% saved)

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(*.f64 y (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	-6272	(*.f64 x (+.f64 y #s(literal 1 binary64)))
	cost-diff	0	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	-6272	(+.f64 y (*.f64 x y))
✓	cost-diff	-6272	(+.f64 (+.f64 y (*.f64 x y)) x)
	cost-diff	0	(*.f64 x y)

Rules

44×	`fma-define`
5×	`*-commutative`
5×	`+-commutative`
5×	`associate-l`
4×	`*-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	152
1	41	145
2	60	145
3	95	145
4	110	145
5	112	145

Stop Event

1×

saturated

Calls

Call 1

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

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

localize174.0ms (6.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 y (+.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (+.f64 y (*.f64 x y)) x)
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 y (*.f64 x y))

Results

161.0ms

256×

valid

Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-mult: 141.0ms (96.6% of total)

ival-add: 5.0ms (3.4% of total)

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Counts

5 → 90

Calls

Call 1

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

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

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(+ y (* x y))
0.0ms	y	@	0	(* y (+ 1 x))
0.0ms	y	@	inf	(* y (+ 1 x))
0.0ms	y	@	-inf	(* y (+ 1 x))
0.0ms	x	@	0	(* x (+ y 1))

rewrite171.0ms (6%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`log1p-expm1-u`
1194×	`expm1-log1p-u`
389×	`fmm-def`
101×	`add-cube-cbrt`
99×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	95
1	240	88
2	3301	88

Stop Event

1×	node limit

Counts

5 → 191

Calls

Call 1

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

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

simplify126.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

745×	`distribute-lft-in`
702×	`distribute-rgt-in`
553×	`cancel-sign-sub-inv`
446×	`fmm-def`
330×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	8666
1	865	8056
2	2777	7947

Stop Event

1×	node limit

Counts

281 → 211

Calls

Call 1

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

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

eval35.0ms (1.2%)

Compiler: Compiled 3140 to 745 computations (76.3% saved)

prune70.0ms (2.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	270	5	275

Accuracy

100.0%

Counts

275 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (+.f64 y (*.f64 x y)) x)
✓	63.5%	(*.f64 y (+.f64 #s(literal 1 binary64) x))
✓	60.9%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	41.0%	y
✓	38.5%	x

Compiler

Compiled 63 to 32 computations (49.2% saved)

regimes9.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	x
3.0ms	y

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes9.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes19.0ms (0.7%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
91.4%	2	`x`
91.4%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
74.1%	2	`y`
90.7%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
67.6%	2	`y`
68.7%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
38.5%	1	`y`
38.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch8.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-8.09005446415144e-95	-1.4671482088741793e-95

Results

4.0ms

96×

valid

Compiler

Compiled 108 to 82 computations (24.1% saved)

Precisions

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

ival-add: 1.0ms (57.4% of total)

ival-mult: 1.0ms (57.4% of total)

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

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

bsearch94.0ms (3.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
85.0ms	7.688799603718667e-8	157.78635160028125
7.0ms	-8.09005446415144e-95	-1.4671482088741793e-95

Results

11.0ms

240×

valid

Compiler

Compiled 192 to 145 computations (24.5% saved)

Precisions

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

ival-add: 2.0ms (43.4% of total)

ival-mult: 2.0ms (43.4% of total)

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

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

bsearch8.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	-8.09005446415144e-95	-1.4671482088741793e-95

Results

4.0ms

96×

valid

Compiler

Compiled 60 to 46 computations (23.3% saved)

Precisions

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

ival-add: 1.0ms (55.2% of total)

ival-mult: 1.0ms (55.2% of total)

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

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	183
1	46	183

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (+.f64 y (*.f64 x y)) x)
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 3022314549036573/37778931862957161709568 binary64)) y (.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) x y)
x

Outputs
(fma.f64 (+.f64 y #s(literal 1 binary64)) x y)
(+.f64 (+.f64 y (*.f64 x y)) x)
(+.f64 x (+.f64 y (*.f64 y x)))
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 (+.f64 y #s(literal 1 binary64)) x) (.f64 y (+.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 3022314549036573/37778931862957161709568 binary64)) y (.f64 x (+.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) (not (<=.f64 x #s(literal 3022314549036573/37778931862957161709568 binary64)))) (*.f64 (+.f64 y #s(literal 1 binary64)) x) y)
(if (<=.f64 x #s(literal -6012269011901013/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 binary64)) x y)
x

soundness392.0ms (13.6%)

Rules

935×	`log1p-expm1-u`
935×	`expm1-log1p-u`
643×	`fma-define`
564×	`fmm-def`
471×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1492	168
5	2133	168
6	2246	168
7	2250	168
0	475	10309
1	1082	10070
2	3052	9738
0	14	95
1	186	89
2	2778	89

Stop Event

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

Compiler

Compiled 135 to 56 computations (58.5% saved)

preprocess41.0ms (1.4%)

Remove: (sort x y)
Compiler: Compiled 184 to 90 computations (51.1% saved)

Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

sample799.0ms (27.8%)

preprocess94.0ms (3.3%)

explain73.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify13.0ms (0.5%)

localize74.0ms (2.6%)

series10.0ms (0.3%)

rewrite351.0ms (12.2%)

simplify187.0ms (6.5%)

eval34.0ms (1.2%)

prune48.0ms (1.7%)

simplify13.0ms (0.4%)

localize174.0ms (6.1%)

series9.0ms (0.3%)

rewrite171.0ms (6%)

simplify126.0ms (4.4%)

eval35.0ms (1.2%)

prune70.0ms (2.4%)

regimes9.0ms (0.3%)

regimes9.0ms (0.3%)

regimes19.0ms (0.7%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch8.0ms (0.3%)

bsearch94.0ms (3.3%)

bsearch8.0ms (0.3%)

simplify3.0ms (0.1%)

soundness392.0ms (13.6%)

preprocess41.0ms (1.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106

Iter	Nodes	Cost
0	14	112
1	29	106
2	40	106
3	52	106
4	61	106
5	86	106
6	119	106
7	129	106
8	134	106
9	135	106