Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (15.2%)

Memory

35.0MiB live, 1 207.2MiB allocated

Samples

958.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 735.0ms

ival-mult: 346.0ms (47.1% of total)

...in/eval/compile.rkt:77:19: 151.0ms (20.5% of total)

ival-add: 138.0ms (18.8% of total)

ival-sub: 86.0ms (11.7% of total)

...in/eval/compile.rkt:76:19: 5.0ms (0.7% of total)

ival-true: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess456.0ms (5.9%)

Memory

-3.3MiB live, 82.9MiB allocated

Algorithm

1×	egg-herbie

Rules

2 165×	`fmm-def`
414×	`sub-neg`
400×	`fma-define`
263×	`unsub-neg`
238×	`associate-+l-`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	33	304
1	98	264
2	250	236
3	786	224
4	2305	224
5	3793	224
6	4333	224
7	4467	224
8	4493	224
9	4497	224
10	4553	224
11	4613	224
12	4637	224
13	4637	210
14	6604	210
15	6604	210
16	6604	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(neg.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(neg.f64 (+.f64 (-.f64 (.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (.f64 x #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x)) (.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 y (-.f64 #s(literal -1/2 binary64) x) (+.f64 x #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 x (+.f64 (neg.f64 y) #s(literal -1 binary64))) (.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x (-.f64 #s(literal -1 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(neg.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x)) (.f64 y #s(literal 1/2 binary64)))))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 x) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 y (+.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(neg.f64 (+.f64 (-.f64 (.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))) (.f64 (neg.f64 y) #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (neg.f64 (+.f64 (.f64 x (+.f64 (neg.f64 y) #s(literal -1 binary64))) (.f64 y #s(literal 1/2 binary64)))) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) (fma.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64))))
(neg.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) y) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 x (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (.f64 y (-.f64 x #s(literal 1 binary64))) (.f64 x #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 y (+.f64 x #s(literal -1 binary64))) (.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1 binary64)) (fma.f64 x #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) y))

explain126.0ms (1.6%)

Memory

-9.5MiB live, 214.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y #s(literal 1 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
-	-	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`
-	-	`#s(literal 918938533204673/1000000000000000 binary64)`
-	-	`(*.f64 x (-.f64 y #s(literal 1 binary64)))`
-	-	`y`
-	-	`(*.f64 y #s(literal 1/2 binary64))`
-	-	`#s(literal 1/2 binary64)`
-	-	`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

Samples

49.0ms

512×

valid

Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

...in/eval/compile.rkt:77:19: 16.0ms (51.9% of total)

ival-mult: 6.0ms (19.5% of total)

ival-sub: 5.0ms (16.2% of total)

ival-add: 2.0ms (6.5% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

eval1.0ms (0%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 40 to 19 computations (52.5% saved)

prune2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
▶	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
▶	100.0%	(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Status

Accuracy

Program

▶

100.0%

(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))

▶

100.0%

(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

▶

100.0%

(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify86.0ms (1.1%)

Memory

-18.5MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6144	(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	cost-diff	-6400	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	cost-diff	0	(-.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 y #s(literal -1 binary64))
✓	cost-diff	128	(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	6400	(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))

Rules

764×	`fmm-def`
550×	`fma-define`
141×	`sub-neg`
119×	`cancel-sign-sub-inv`
115×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	275
1	51	275
2	117	263
3	278	255
4	714	255
5	1519	255
6	2234	255
7	2708	255
8	2864	255
9	2887	255

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x)
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
#s(literal 918938533204673/1000000000000000 binary64)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(+.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

localize183.0ms (2.4%)

Memory

12.8MiB live, 94.5MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
✓	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
✓	accuracy	100.0%	(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(+.f64 y #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))

Samples

159.0ms

256×

valid

Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (29.6% of total)

ival-add: 5.0ms (24.7% of total)

...in/eval/compile.rkt:77:19: 5.0ms (24.7% of total)

ival-sub: 4.0ms (19.7% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series20.0ms (0.3%)

Memory

-5.4MiB live, 33.0MiB allocated

Counts

10 → 192

Calls

Call 1

Inputs
#<alt (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))>
#<alt (+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (+.f64 y #s(literal -1 binary64))>
#<alt (*.f64 y #s(literal -1/2 binary64))>
#<alt (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)>
#<alt (-.f64 #s(literal 1/2 binary64) x)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))>
#<alt (*.f64 x (+.f64 y #s(literal -1 binary64)))>
#<alt (*.f64 y #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1/2 binary64) y)>
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#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(+ (* y (- 1/2 x)) x)
1.0ms	y	@	0	(+ (* x (+ y -1)) (* y -1/2))
1.0ms	y	@	-inf	(* y -1/2)
1.0ms	x	@	inf	(+ (* x (+ y -1)) (* y -1/2))
1.0ms	y	@	inf	(+ (* x (+ y -1)) (* y -1/2))

rewrite378.0ms (4.9%)

Memory

-3.3MiB live, 350.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 189×	`log1p-expm1-u`
530×	`expm1-log1p-u`
166×	`add-cube-cbrt`
164×	`add-exp-log`
164×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	215
1	352	215
2	5420	215

Stop Event

1×	node limit

Counts

10 → 314

Calls

Call 1

Inputs
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(-.f64 #s(literal 1/2 binary64) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 y #s(literal 1/2 binary64))
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) y (.f64 y #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 y #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 y #s(literal -1/2 binary64))))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 y #s(literal -1/2 binary64)))))
(+.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))))
(+.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 x (+.f64 y #s(literal -1 binary64))))
(+.f64 (.f64 x y) (+.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64))))
(+.f64 (.f64 x y) (-.f64 (neg.f64 x) (.f64 y #s(literal -1/2 binary64))))
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 y #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) (+.f64 y #s(literal -1 binary64))) (pow.f64 (exp.f64 y) #s(literal -1/2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(-.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (/.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(*.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
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(.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (-.f64 (sqrt.f64 (*.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) #s(literal 2 binary64)) (.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) (-.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))

simplify264.0ms (3.4%)

Memory

17.8MiB live, 339.4MiB allocated

Algorithm

1×	egg-herbie

Rules

415×	`sub-neg`
410×	`fma-define`
273×	`div-sub`
249×	`associate-l`
246×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	692	19889
1	1729	17644
2	6282	17380

Stop Event

1×	node limit

Counts

506 → 432

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
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(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(exp.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) #s(literal 1 binary64)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal -1 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))

Outputs
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 x (+.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 x (+.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 x (+.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)) (.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y))))
(.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)) (.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y))))
(.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)) (.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(*.f64 x (neg.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) y))))
(.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) y)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 x y))))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 x y))))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 x y))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))
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(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (.f64 y #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (+.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

eval96.0ms (1.2%)

Memory: -20.7MiB live, 96.4MiB allocated
Compiler: Compiled 7 945 to 1 455 computations (81.7% saved)

prune126.0ms (1.6%)

Memory

12.5MiB live, 136.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	473	8	481
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	476	8	484

Accuracy

100.0%

Counts

484 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
▶	75.4%	(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
	75.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
	53.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
▶	68.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
▶	48.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	75.4%	(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
	72.7%	(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))

Compiler

Compiled 152 to 114 computations (25% saved)

simplify86.0ms (1.1%)

Memory

-5.0MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	128	(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	6400	(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	-6272	(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓	cost-diff	-6144	(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	-6272	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	-6272	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	-6272	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
✓	cost-diff	0	(-.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))

Rules

733×	`fmm-def`
502×	`fma-define`
123×	`associate-+l-`
121×	`sub-neg`
103×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	311
1	64	295
2	121	295
3	294	291
4	771	291
5	1503	291
6	2331	291
7	2743	291
8	2844	291
9	2851	291

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 y x)
y
x
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
x
y
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
x
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 y x)
y
x
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
x
y
(*.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 918938533204673/1000000000000000 binary64)

localize136.0ms (1.7%)

Memory

-5.2MiB live, 155.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
✓	accuracy	100.0%	(-.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))

Samples

99.0ms

256×

valid

Compiler

Compiled 99 to 24 computations (75.8% saved)

Precisions

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

ival-mult: 10.0ms (38.6% of total)

ival-sub: 8.0ms (30.9% of total)

...in/eval/compile.rkt:77:19: 5.0ms (19.3% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series27.0ms (0.3%)

Memory

-2.7MiB live, 36.1MiB allocated

Counts

14 → 243

Calls

Call 1

Inputs
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (-.f64 x #s(literal 1/2 binary64))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) y))>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y x)>
#<alt (*.f64 y #s(literal 1/2 binary64))>
#<alt (-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))>
#<alt (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))>
#<alt (+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))>

Outputs
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.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 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt #s(literal -1/2 binary64)>
#<alt x>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))>
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) x)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))>

Calls

69 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(+ (+ (* x y) (* y -1/2)) 918938533204673/1000000000000000)
1.0ms	y	@	-inf	(* y (- x 1/2))
0.0ms	y	@	0	(* y (- x 1/2))
0.0ms	x	@	0	(* x (- 1 y))
0.0ms	y	@	inf	(* y (- x 1/2))

rewrite346.0ms (4.5%)

Memory

32.7MiB live, 232.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

677×	`log1p-expm1-u`
222×	`expm1-log1p-u`
217×	`add-cube-cbrt`
215×	`add-exp-log`
214×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	256
1	462	240
2	7280	240

Stop Event

1×	node limit

Counts

14 → 524

Calls

Call 1

Inputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 x #s(literal 1/2 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 y x)
(*.f64 y #s(literal 1/2 binary64))
(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(+.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(+.f64 (.f64 y x) (neg.f64 (.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 y x) (.f64 (neg.f64 y) #s(literal 1/2 binary64)))
(+.f64 (.f64 y x) (.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 y x) (.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 y #s(literal 1/2 binary64)))))
(+.f64 (.f64 y x) (.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y x))
(+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) y (.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (fma.f64 (neg.f64 y) #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y #s(literal 1/2 binary64)))) (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (.f64 y #s(literal 1/2 binary64))))
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y x) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y x) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 y (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (.f64 y (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 y (fma.f64 x x #s(literal -1/4 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) y) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1/4 binary64)) y) (+.f64 x #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) y) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y)))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 x y (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 x y (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 y x) (neg.f64 (.f64 y #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 y #s(literal 1/2 binary64)))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(+.f64 x #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(*.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (.f64 x #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 x x #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1/4 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (fma.f64 x x #s(literal -1/4 binary64)) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/4 binary64))) (neg.f64 (+.f64 x #s(literal 1/2 binary64))))
(pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal -1/2 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
(+.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (neg.f64 x))
(+.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (neg.f64 x) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)) (sqrt.f64 (-.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) x)))
(.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (.f64 x (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))) (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 x (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 x (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x #s(literal -1/2 binary64))) y))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x #s(literal -1/2 binary64))) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (.f64 (*.f64 y x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))) (-.f64 (*.f64 y x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 y x (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))

simplify268.0ms (3.5%)

Memory

-19.2MiB live, 498.3MiB allocated

Algorithm

1×	egg-herbie

Rules

481×	`fma-define`
411×	`associate-r`
405×	`associate-l`
282×	`distribute-rgt-in`
269×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	910	26943
1	2200	24145

Stop Event

1×	node limit

Counts

767 → 589

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
#s(literal -1/2 binary64)
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y)))
(*.f64 x y)
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(*.f64 x y)
(*.f64 y x)
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) y))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) x)) y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) x)) y) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) y (.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(.f64 (-.f64 (.f64 y (/.f64 #s(literal 1/2 binary64) x)) y) (neg.f64 x))
#s(literal -1/2 binary64)
x
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y)))))
(*.f64 y (+.f64 x (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 (neg.f64 y) (.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) x) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 #s(literal -1/2 binary64) y (*.f64 x (+.f64 y #s(literal -1 binary64)))))
(-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x))))))
(*.f64 x (+.f64 y (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x) (+.f64 y #s(literal -1 binary64))))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal -1/2 binary64) x)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal -1/2 binary64) x)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal -1/2 binary64) x)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 y) (-.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)) (neg.f64 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)))
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(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)))
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(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 y (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64)) x)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
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(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64))) (fma.f64 y x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64)))
(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(cbrt.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(exp.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (+.f64 x #s(literal -1/2 binary64)) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y (+.f64 #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))

eval160.0ms (2.1%)

Memory: 8.6MiB live, 203.8MiB allocated
Compiler: Compiled 8 710 to 1 916 computations (78% saved)

prune87.0ms (1.1%)

Memory

-25.1MiB live, 259.9MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	598	5	603
Fresh	0	3	3
Picked	2	3	5
Done	0	0	0
Total	600	11	611

Accuracy

100.0%

Counts

611 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
✓	75.4%	(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
	75.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
▶	53.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓	48.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	75.4%	(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
	47.7%	(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
▶	72.7%	(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
▶	53.2%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
	46.6%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	26.2%	(neg.f64 x)

Compiler

Compiled 154 to 117 computations (24% saved)

simplify319.0ms (4.1%)

Memory

31.6MiB live, 71.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
✓	cost-diff	192	(+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y))
✓	cost-diff	-6272	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
	cost-diff	0	(-.f64 x #s(literal 1/2 binary64))
	cost-diff	0	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	-6272	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	-6272	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))

Rules

2 088×	`fmm-def`
580×	`fma-define`
322×	`sub-neg`
265×	`distribute-rgt-in`
262×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	298
1	59	286
2	147	280
3	451	264
4	1420	264
5	4153	264
6	4981	264
7	5099	264
8	5112	264
9	5112	264
10	5130	264
11	5130	264
12	6610	264
13	6610	264
14	6610	264

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
(neg.f64 x)
x
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
y
(-.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
y
(+.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 y)
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y #s(literal -1/2 binary64)) x))
(-.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal 1/2 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
x
(neg.f64 x)
x
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
y
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
x
#s(literal 1/2 binary64)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (+.f64 x y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) x))) x))
(fma.f64 y (+.f64 #s(literal -3/2 binary64) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 3/2 binary64) x) x))
(+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y))
(-.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) y)
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) (+.f64 x y))
(-.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/2 binary64) x))) x)
(-.f64 (*.f64 y (+.f64 #s(literal -3/2 binary64) x)) x)
(-.f64 (*.f64 y (+.f64 x #s(literal -3/2 binary64))) x)
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
y
(+.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(neg.f64 y)
#s(literal 918938533204673/1000000000000000 binary64)

localize74.0ms (1%)

Memory

-3.2MiB live, 194.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
✓	accuracy	99.9%	(+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y))
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
	accuracy	100.0%	(-.f64 x #s(literal 1/2 binary64))
	accuracy	100.0%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)

Samples

40.0ms	227×	0	valid
5.0ms	20×	1	valid
5.0ms	9×	2	valid

Compiler

Compiled 89 to 21 computations (76.4% saved)

Precisions

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

ival-mult: 7.0ms (25.5% of total)

ival-sub: 6.0ms (21.9% of total)

ival-add: 6.0ms (21.9% of total)

...in/eval/compile.rkt:77:19: 5.0ms (18.2% of total)

ival-neg: 2.0ms (7.3% of total)

adjust: 1.0ms (3.6% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series11.0ms (0.1%)

Memory

-6.6MiB live, 32.5MiB allocated

Counts

10 → 180

Calls

Call 1

Inputs
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))>
#<alt (neg.f64 x)>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))>
#<alt (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y))>
#<alt (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)>
#<alt (*.f64 y (+.f64 #s(literal -1/2 binary64) x))>
#<alt (+.f64 #s(literal -1/2 binary64) x)>
#<alt (+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (neg.f64 y)>

Outputs
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
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#<alt (*.f64 #s(literal -1/2 binary64) y)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt #s(literal 918938533204673/1000000000000000 binary64)>
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#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt (-.f64 (*.f64 y (-.f64 x #s(literal 3/2 binary64))) x)>
#<alt (*.f64 y (-.f64 x #s(literal 3/2 binary64)))>
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#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3/2 binary64)))>
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#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
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#<alt (*.f64 x y)>
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#<alt #s(literal -1/2 binary64)>
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#<alt x>
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#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 3/2 binary64) (/.f64 x y))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))))>
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#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 #s(literal -1 binary64) y)>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(- (* y (+ -1/2 x)) x)
0.0ms	y	@	inf	(+ (- (* y (+ -1/2 x)) x) (neg y))
0.0ms	x	@	-inf	(+ (- (* y (+ -1/2 x)) x) (neg y))
0.0ms	y	@	-inf	(+ (+ (- (* y (+ -1/2 x)) x) (neg y)) 918938533204673/1000000000000000)
0.0ms	y	@	-inf	(+ (- (* y (+ -1/2 x)) x) (neg y))

rewrite194.0ms (2.5%)

Memory

-2.9MiB live, 198.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 031×	`log1p-expm1-u`
183×	`expm1-log1p-u`
178×	`add-cube-cbrt`
177×	`add-exp-log`
177×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	210
1	382	178
2	6522	178

Stop Event

1×	node limit

Counts

10 → 372

Calls

Call 1

Inputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(neg.f64 x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y))
(-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x)
(*.f64 y (+.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
(neg.f64 y)

Outputs
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 (fma.f64 y #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x)
(+.f64 x (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)))
(*.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(*.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x)) (+.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x))))
(/.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 y #s(literal -1/2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 (fma.f64 y #s(literal -1/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) x)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (fma.f64 y #s(literal -1/2 binary64) x) (fma.f64 y #s(literal -1/2 binary64) x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)))
(pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) x)
(fma.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))) (/.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))))
(-.f64 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y))))
(.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))))
(.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y)) (+.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (-.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))
(/.f64 (+.f64 (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y))))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
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(/.f64 (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
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(log.f64 (exp.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
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(expm1.f64 (log1p.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) (sqrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 0 binary64) x)
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
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(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (+.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 918938533204673/1000000000000000 binary64))))
(pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(exp.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(fma.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(fma.f64 (sqrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) (sqrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))

simplify193.0ms (2.5%)

Memory

11.6MiB live, 408.2MiB allocated

Algorithm

1×	egg-herbie

Rules

614×	`associate-l`
554×	`associate-r`
544×	`fma-define`
416×	`distribute-rgt-in`
410×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	786	18134
1	1897	16489

Stop Event

1×	node limit

Counts

552 → 601

Calls

Call 1

Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)
(*.f64 #s(literal -1/2 binary64) y)
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal -1/2 binary64) y)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal -1/2 binary64) y)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal -1/2 binary64) y)) x)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 y (-.f64 x #s(literal 3/2 binary64))) x)
(-.f64 (*.f64 y (-.f64 x #s(literal 3/2 binary64))) x)
(-.f64 (*.f64 y (-.f64 x #s(literal 3/2 binary64))) x)
(*.f64 y (-.f64 x #s(literal 3/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 3/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (/.f64 x y)))))
(-.f64 (*.f64 #s(literal -1/2 binary64) y) y)
(-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))) y)
(-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))) y)
(-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64)))) y)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) y) x))))))
(*.f64 #s(literal -1 binary64) x)
(-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)
(-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)
(-.f64 (*.f64 y (-.f64 x #s(literal 1/2 binary64))) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))) #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1/2 binary64))) (/.f64 x y))))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x y))
(*.f64 x y)
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(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) y)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (+.f64 #s(literal -1/2 binary64) x))) (+.f64 x y))
(*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 918938533204673/1000000000000000 binary64))) (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (-.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (+.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (+.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) (.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (+.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 918938533204673/1000000000000000 binary64))))
(pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(exp.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(fma.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(fma.f64 (sqrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) (sqrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))

Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 1/2 binary64) (/.f64 x y))))
(*.f64 y (-.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 (neg.f64 y) (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)) (neg.f64 y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1/2 binary64) y)))
(fma.f64 y #s(literal -1/2 binary64) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(fma.f64 #s(literal -1/2 binary64) y (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) #s(literal -1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 y x) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) x)
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(/.f64 (+.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))) (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (+.f64 x (.f64 y (+.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (.f64 y (+.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (+.f64 y (-.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (+.f64 y (+.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x) #s(literal -918938533204673/1000000000000000 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))) (+.f64 (+.f64 x (.f64 y (+.f64 #s(literal 1/2 binary64) x))) #s(literal -918938533204673/1000000000000000 binary64)))
(pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 1 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 3 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 2 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))) #s(literal 2 binary64)))
(fabs.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))))
(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 3 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))))
(+.f64 (+.f64 #s(literal 1918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)))) #s(literal 1 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sqrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(fma.f64 (sqrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) (sqrt.f64 (+.f64 y (fma.f64 y (+.f64 #s(literal -1/2 binary64) x) x))) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 y (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 x (*.f64 y (+.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 0 binary64) y)
y
(-.f64 #s(literal 0 binary64) y)
(neg.f64 y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 y))
(*.f64 y #s(literal 1 binary64))
y
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
(*.f64 #s(literal 1 binary64) y)
y
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
y
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(neg.f64 y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
y
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(neg.f64 y)
(*.f64 #s(literal -1 binary64) y)
(neg.f64 y)
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(neg.f64 y)
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
y
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
y
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
y
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
y
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(fabs.f64 y)
(log.f64 (exp.f64 y))
y
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
y
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
y
(exp.f64 (log.f64 y))
y
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
y

eval96.0ms (1.2%)

Memory: 17.6MiB live, 289.5MiB allocated
Compiler: Compiled 11 289 to 2 393 computations (78.8% saved)

prune106.0ms (1.4%)

Memory

-30.1MiB live, 333.1MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	746	5	751
Fresh	0	3	3
Picked	1	4	5
Done	2	1	3
Total	749	13	762

Accuracy

100.0%

Counts

762 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
✓	77.8%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
▶	53.2%	(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
▶	75.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
✓	53.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓	48.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
	47.7%	(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
	73.1%	(+.f64 (+.f64 (-.f64 (*.f64 y x) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
✓	53.2%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
	22.6%	(*.f64 y x)
▶	31.4%	(*.f64 y #s(literal -1/2 binary64))
▶	46.6%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	26.2%	(neg.f64 x)

Compiler

Compiled 158 to 115 computations (27.2% saved)

simplify53.0ms (0.7%)

Memory

12.3MiB live, 51.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
✓	cost-diff	64	(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
✓	cost-diff	6464	(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
	cost-diff	0	(*.f64 y #s(literal 1/2 binary64))
	cost-diff	0	(*.f64 y x)
✓	cost-diff	128	(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
✓	cost-diff	0	(-.f64 y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	-6272	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
	cost-diff	0	(-.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 y (-.f64 #s(literal 1/2 binary64) x))

Rules

283×	`fma-define`
246×	`fmm-def`
51×	`sub-neg`
46×	`associate-+l-`
40×	`associate--r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	216
1	52	216
2	87	216
3	180	212
4	362	212
5	670	212
6	1029	212
7	1258	212
8	1314	212
9	1338	212
10	1339	212

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(*.f64 y x)
y
x
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
y
x
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
y
(-.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
x
(-.f64 y #s(literal 1 binary64))
(+.f64 y #s(literal -1 binary64))
y
#s(literal 1 binary64)
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(*.f64 y x)
y
x
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
y
x
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize56.0ms (0.7%)

Memory

-2.6MiB live, 156.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
	accuracy	100.0%	(*.f64 y x)
	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(-.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
	accuracy	100.0%	(-.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1/2 binary64) x))

Samples

34.0ms

256×

valid

Compiler

Compiled 70 to 19 computations (72.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.3% of total)

ival-sub: 5.0ms (23.3% of total)

...in/eval/compile.rkt:77:19: 5.0ms (23.3% of total)

ival-add: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series6.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

7 → 117

Calls

Call 1

Inputs
#<alt (*.f64 y (-.f64 #s(literal 1/2 binary64) x))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (-.f64 y #s(literal 1 binary64))>
#<alt (-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))>
#<alt (fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))>
#<alt (neg.f64 (*.f64 y #s(literal 1/2 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))>
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x)))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x y)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))>
#<alt (*.f64 x y)>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))>
#<alt #s(literal -1 binary64)>
#<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 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x y)>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.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 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x y)>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.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 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>
#<alt (*.f64 #s(literal -1/2 binary64) y)>

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms	y	@	0	(* y (- 1/2 x))
0.0ms	y	@	-inf	(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms	x	@	inf	(- 918938533204673/1000000000000000 (* y (- 1/2 x)))
0.0ms	x	@	-inf	(- 918938533204673/1000000000000000 (* y (- 1/2 x)))

rewrite186.0ms (2.4%)

Memory

-4.0MiB live, 200.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

908×	`log1p-expm1-u`
908×	`expm1-log1p-u`
694×	`fma-define`
293×	`fmm-def`
133×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	121
1	307	121
2	4247	121

Stop Event

1×	node limit

Counts

7 → 458

Calls

Call 1

Inputs
(*.f64 y (-.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))

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

simplify181.0ms (2.3%)

Memory

-6.1MiB live, 312.3MiB allocated

Algorithm

1×	egg-herbie

Rules

407×	`distribute-lft-neg-in`
378×	`distribute-rgt-neg-in`
243×	`associate-r`
227×	`fma-undefine`
226×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	724	6145
1	1636	6145
2	4959	6145

Stop Event

1×	node limit

Counts

575 → 443

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))
(*.f64 #s(literal -1 binary64) x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
#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 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
y
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) y)
(-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) y)
(-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(-.f64 (.f64 x y) (.f64 #s(literal 1/2 binary64) y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(.f64 x (+.f64 y (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (neg.f64 x)))
(+.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 (neg.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 #s(literal 1/2 binary64) x) #s(literal 1/4 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) y) (+.f64 #s(literal 1/2 binary64) x))
(pow.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1/2 binary64) x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
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(+.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (+.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(+.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) (.f64 y (+.f64 x #s(literal -1/2 binary64))))
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) x))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 y (+.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) (+.f64 x #s(literal -1/2 binary64))))
(.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (+.f64 x #s(literal -1/2 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(*.f64 (+.f64 x #s(literal -1/2 binary64)) y)
(.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 y x) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (.f64 y #s(literal 1/2 binary64)) (.f64 y (+.f64 x #s(literal -1/2 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (neg.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64)))) (.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (fma.f64 y #s(literal 1/2 binary64) (*.f64 y #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))) (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64))))) (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) (fma.f64 y #s(literal 1/2 binary64) (.f64 y #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 x #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) (neg.f64 y))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 1/2 binary64)))
(.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(.f64 (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) #s(literal -1/2 binary64)))
(.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64))) (neg.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) #s(literal 1/2 binary64))
(.f64 (neg.f64 (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (cbrt.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (cbrt.f64 (.f64 y #s(literal 1/2 binary64))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 y #s(literal 1/2 binary64)))) (sqrt.f64 (.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 y #s(literal 1/2 binary64)))
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x y)) (.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x y)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x y)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) x)) y)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 #s(literal 1/2 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x y)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 x y)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal -1 binary64)
(*.f64 #s(literal 1/2 binary64) y)
y
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
y
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
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(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(pow.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(pow.f64 (cbrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(pow.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(pow.f64 (sqrt.f64 (*.f64 y #s(literal 1/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(log.f64 (pow.f64 (exp.f64 y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) y)
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(expm1.f64 (log1p.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(log1p.f64 (expm1.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(exp.f64 (log.f64 (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) y)
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) y)

eval68.0ms (0.9%)

Memory: 1.5MiB live, 197.5MiB allocated
Compiler: Compiled 6 945 to 1 153 computations (83.4% saved)

prune84.0ms (1.1%)

Memory

-24.4MiB live, 260.0MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	545	2	547
Fresh	0	3	3
Picked	1	4	5
Done	0	5	5
Total	546	14	560

Accuracy

100.0%

Counts

560 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.2%	(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
✓	77.8%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
✓	53.2%	(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
✓	75.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
✓	53.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓	48.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
	47.7%	(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
	73.1%	(+.f64 (+.f64 (-.f64 (*.f64 y x) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
✓	53.2%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
	22.6%	(*.f64 y x)
✓	31.4%	(*.f64 y #s(literal -1/2 binary64))
✓	46.6%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	26.2%	(neg.f64 x)
	23.9%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 260 to 128 computations (50.8% saved)

regimes31.0ms (0.4%)

Memory

16.8MiB live, 95.1MiB allocated

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 (+.f64 (-.f64 (*.f64 y x) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Calls

4 calls:

8.0ms	x
7.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
7.0ms	y
7.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes31.0ms (0.4%)

Memory

-8.3MiB live, 112.3MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 (+.f64 (-.f64 (*.f64 y x) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (+.f64 (-.f64 (*.f64 y (+.f64 #s(literal -1/2 binary64) x)) x) (neg.f64 y)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 y x (neg.f64 (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x y (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (-.f64 #s(literal 1/2 binary64) x) x))

Outputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)

Calls

4 calls:

8.0ms	y
7.0ms	x
7.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
7.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))`
100.0%	1	`(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory

2.1MiB live, 41.5MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)
(-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))

Outputs

(-.f64 (*.f64 y x) (-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))

(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))

(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))

Calls

2 calls:

6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
99.2%	3	`x`
99.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

18.5MiB live, 18.5MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
(-.f64 (.f64 y x) (.f64 y #s(literal 1/2 binary64)))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) x)

Outputs

(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))

(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))

(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory

-11.3MiB live, 28.3MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))

Outputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))

Calls

2 calls:

4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
97.5%	3	`x`
98.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(+.f64 (-.f64 #s(literal 1918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))

Outputs
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y (-.f64 x #s(literal 1/2 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.9%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

-20.2MiB live, 21.3MiB allocated

Counts

6 → 4

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 x (-.f64 y #s(literal 1 binary64)))

Outputs
(*.f64 y #s(literal -1/2 binary64))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
74.8%	3	`x`
78.5%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

4 → 6

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)

Outputs
(*.f64 y #s(literal -1/2 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
57.2%	4	`x`
62.3%	6	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

-29.3MiB live, 10.2MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
(*.f64 y #s(literal -1/2 binary64))

Outputs
(*.f64 y #s(literal -1/2 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(*.f64 y #s(literal -1/2 binary64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
60.1%	5	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

14.1MiB live, 14.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)

Outputs
(neg.f64 x)
#s(literal 918938533204673/1000000000000000 binary64)
(neg.f64 x)

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
47.2%	3	`x`
31.6%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
23.9%	1	`y`
23.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.5%)

Memory

-17.4MiB live, 105.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	43.09090084614402	239977.45187509604
17.0ms	-408398.338626201	-7.144508241770499e-8

Samples

20.0ms

288×

valid

Compiler

Compiled 396 to 313 computations (21% saved)

Precisions

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

...in/eval/compile.rkt:77:19: 5.0ms (39.9% of total)

ival-mult: 4.0ms (31.9% of total)

ival-sub: 3.0ms (23.9% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch34.0ms (0.4%)

Memory

26.3MiB live, 104.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	43.09090084614402	239977.45187509604
17.0ms	-408398.338626201	-7.144508241770499e-8

Samples

21.0ms

288×

valid

Compiler

Compiled 376 to 303 computations (19.4% saved)

Precisions

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

ival-mult: 5.0ms (36.5% of total)

...in/eval/compile.rkt:77:19: 5.0ms (36.5% of total)

ival-sub: 3.0ms (21.9% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch36.0ms (0.5%)

Memory

-22.6MiB live, 97.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	43.09090084614402	239977.45187509604
18.0ms	-408398.338626201	-7.144508241770499e-8

Samples

22.0ms

288×

valid

Compiler

Compiled 340 to 267 computations (21.5% saved)

Precisions

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

ival-mult: 5.0ms (35.5% of total)

...in/eval/compile.rkt:77:19: 5.0ms (35.5% of total)

ival-sub: 3.0ms (21.3% of total)

ival-add: 1.0ms (7.1% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch35.0ms (0.5%)

Memory

16.1MiB live, 94.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.2883665109931604e-6	43.09090084614402
17.0ms	-408398.338626201	-7.144508241770499e-8

Samples

22.0ms

304×

valid

Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

...in/eval/compile.rkt:77:19: 5.0ms (33% of total)

ival-sub: 4.0ms (26.4% of total)

ival-mult: 4.0ms (26.4% of total)

ival-add: 2.0ms (13.2% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch50.0ms (0.7%)

Memory

-25.2MiB live, 134.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	1.3734362571744223e+267	2.9059698188789496e+268
15.0ms	1.2883665109931604e-6	43.09090084614402
18.0ms	-408398.338626201	-7.144508241770499e-8

Samples

30.0ms

416×

valid

Compiler

Compiled 328 to 268 computations (18.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.1% of total)

...in/eval/compile.rkt:77:19: 7.0ms (35.1% of total)

ival-sub: 4.0ms (20.1% of total)

ival-add: 2.0ms (10% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch68.0ms (0.9%)

Memory

33.6MiB live, 193.4MiB allocated

Algorithm

5×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	1.3734362571744223e+267	2.9059698188789496e+268
15.0ms	1.2883665109931604e-6	43.09090084614402
13.0ms	7.837563430458796e-112	4.770410632898518e-109
11.0ms	-4.1225381036945965e-218	-3.8130848919625315e-219
11.0ms	-6.669147843514618e-9	-2.7390965570553843e-10

Samples

43.0ms

592×

valid

Compiler

Compiled 386 to 334 computations (13.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

...in/eval/compile.rkt:77:19: 10.0ms (35.2% of total)

ival-sub: 8.0ms (28.1% of total)

ival-mult: 7.0ms (24.6% of total)

ival-add: 3.0ms (10.6% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch59.0ms (0.8%)

Memory

-36.4MiB live, 166.8MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	1.2883665109931604e-6	43.09090084614402
13.0ms	7.837563430458796e-112	4.770410632898518e-109
10.0ms	-4.1225381036945965e-218	-3.8130848919625315e-219
13.0ms	-6.669147843514618e-9	-2.7390965570553843e-10

Samples

35.0ms

480×

valid

Compiler

Compiled 302 to 271 computations (10.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

...in/eval/compile.rkt:77:19: 8.0ms (38.3% of total)

ival-mult: 6.0ms (28.7% of total)

ival-sub: 5.0ms (23.9% of total)

ival-add: 2.0ms (9.6% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

bsearch25.0ms (0.3%)

Memory

23.1MiB live, 61.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2708.605184929635	2680280.8831519713
8.0ms	-21564902.473011743	-8717418.852448836

Samples

16.0ms

208×

valid

Compiler

Compiled 133 to 119 computations (10.5% saved)

Precisions

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

ival-sub: 4.0ms (35.6% of total)

...in/eval/compile.rkt:77:19: 3.0ms (26.7% of total)

ival-mult: 2.0ms (17.8% of total)

ival-add: 1.0ms (8.9% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

simplify42.0ms (0.5%)

Memory

-14.7MiB live, 63.0MiB allocated

Algorithm

1×	egg-herbie

Rules

70×	`distribute-lft-neg-in`
67×	`unsub-neg`
48×	`neg-mul-1`
38×	`neg-sub0`
37×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	695
1	146	695
2	182	695
3	219	695
4	264	695
5	339	695
6	441	695
7	533	695
8	589	695
9	608	695
10	619	695
11	620	695

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(if (<=.f64 y #s(literal -7839866231326559/4611686018427387904 binary64)) (-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 y #s(literal 56 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 y #s(literal -3152519739159347/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 y #s(literal 44 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 y #s(literal -59000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 32000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -255 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 y x))))
(if (<=.f64 y #s(literal -7978910409456553/1208925819614629174706176 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -4968057895362269/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 4332296397063773/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 17499999999999998618724009556605219311455488942054583932294316850314173428301391018191728907052268958716013927014327397088397635212414029087121576211561816192601312405471449017383709751367675988806214488554681733621803699870555303956704648471227685443429588203961581568 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 y x))))))
(if (<=.f64 y #s(literal -7978910409456553/1208925819614629174706176 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -1018451868549265/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 2843069510573101/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -9000000 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2750 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(+.f64 (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(if (<=.f64 y #s(literal -7839866231326559/4611686018427387904 binary64)) (-.f64 (.f64 y x) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 y #s(literal 56 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 y #s(literal -7839866231326559/4611686018427387904 binary64)) (-.f64 (.f64 x y) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (if (<=.f64 y #s(literal 56 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 y #s(literal -7839866231326559/4611686018427387904 binary64)) (+.f64 (.f64 x y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 56 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -7839866231326559/4611686018427387904 binary64)) (+.f64 (.f64 x y) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))) (if (<=.f64 y #s(literal 56 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 x #s(literal 1/2 binary64))))))
(if (<=.f64 y #s(literal -3152519739159347/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 y #s(literal 44 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(if (or (<=.f64 y #s(literal -3152519739159347/9007199254740992 binary64)) (not (<=.f64 y #s(literal 44 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 y #s(literal -3152519739159347/9007199254740992 binary64)) (not (<=.f64 y #s(literal 44 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -3152519739159347/9007199254740992 binary64)) (not (<=.f64 y #s(literal 44 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -59000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 32000 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -59000 binary64)) (not (<=.f64 y #s(literal 32000 binary64)))) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 #s(literal 1 binary64) y))))
(if (or (<=.f64 y #s(literal -59000 binary64)) (not (<=.f64 y #s(literal 32000 binary64)))) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))))
(if (or (<=.f64 y #s(literal -59000 binary64)) (not (<=.f64 y #s(literal 32000 binary64)))) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (not (<=.f64 y #s(literal 3602879701896397/2251799813685248 binary64)))) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 y #s(literal -255 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 y x))))
(if (<=.f64 y #s(literal -255 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (if (<=.f64 y #s(literal 11999999999999999681258698249922727670530222733473885007124551103845751568293335880328532853722424268181790011475955710281989895008277763292220196871709625558977471361511769284888471501738831950635786186890516050374686146253533638756445049522397961921081674704781049856 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 x y))))
(if (<=.f64 y #s(literal -7978910409456553/1208925819614629174706176 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -4968057895362269/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 4332296397063773/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 17499999999999998618724009556605219311455488942054583932294316850314173428301391018191728907052268958716013927014327397088397635212414029087121576211561816192601312405471449017383709751367675988806214488554681733621803699870555303956704648471227685443429588203961581568 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 y x))))))
(if (<=.f64 y #s(literal -7978910409456553/1208925819614629174706176 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -4968057895362269/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 4332296397063773/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 17499999999999998618724009556605219311455488942054583932294316850314173428301391018191728907052268958716013927014327397088397635212414029087121576211561816192601312405471449017383709751367675988806214488554681733621803699870555303956704648471227685443429588203961581568 binary64)) (.f64 y #s(literal -1/2 binary64)) (*.f64 x y))))))
(if (<=.f64 y #s(literal -7978910409456553/1208925819614629174706176 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -1018451868549265/49680578953622685924767343630800081768220352547734291556449665216833630485964060362588109082516687294415607382308194342597490561411674060526217192801317796454542559232667196977608489140211150234408415974198927000028571099322113851392 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 y #s(literal 2843069510573101/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (neg.f64 x) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -9000000 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 2750 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (or (<=.f64 x #s(literal -9000000 binary64)) (not (<=.f64 x #s(literal 2750 binary64)))) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.5s (19.5%)

Memory

30.8MiB live, 982.1MiB allocated

Rules

2 165×	`fmm-def`
481×	`fma-define`
415×	`sub-neg`
414×	`sub-neg`
411×	`associate-r`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	910	26943
1	2200	24145
0	692	19889
1	1729	17644
2	6282	17380
0	33	304
1	98	264
2	250	236
3	786	224
4	2305	224
5	3793	224
6	4333	224
7	4467	224
8	4493	224
9	4497	224
10	4553	224
11	4613	224
12	4637	224
13	4637	210
14	6604	210
15	6604	210
16	6604	210

Stop Event

1×	fuel
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 594 to 239 computations (59.8% saved)

preprocess84.0ms (1.1%)

Memory: -37.1MiB live, 171.0MiB allocated
Compiler: Compiled 444 to 192 computations (56.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	97	695
1	146	695
2	182	695
3	219	695
4	264	695
5	339	695
6	441	695
7	533	695
8	589	695
9	608	695
10	619	695
11	620	695

Iter	Nodes	Cost
0	97	695
1	146	695
2	182	695
3	219	695
4	264	695
5	339	695
6	441	695
7	533	695
8	589	695
9	608	695
10	619	695
11	620	695

analyze0.0ms (0%)

sample1.2s (15.2%)

preprocess456.0ms (5.9%)

explain126.0ms (1.6%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify86.0ms (1.1%)

localize183.0ms (2.4%)

series20.0ms (0.3%)

rewrite378.0ms (4.9%)

simplify264.0ms (3.4%)

eval96.0ms (1.2%)

prune126.0ms (1.6%)

simplify86.0ms (1.1%)

localize136.0ms (1.7%)

series27.0ms (0.3%)

rewrite346.0ms (4.5%)

simplify268.0ms (3.5%)

eval160.0ms (2.1%)

prune87.0ms (1.1%)

simplify319.0ms (4.1%)

localize74.0ms (1%)

series11.0ms (0.1%)

rewrite194.0ms (2.5%)

simplify193.0ms (2.5%)

eval96.0ms (1.2%)

prune106.0ms (1.4%)

simplify53.0ms (0.7%)

localize56.0ms (0.7%)

series6.0ms (0.1%)

rewrite186.0ms (2.4%)

simplify181.0ms (2.3%)

eval68.0ms (0.9%)

prune84.0ms (1.1%)

regimes31.0ms (0.4%)

regimes31.0ms (0.4%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch35.0ms (0.5%)

bsearch34.0ms (0.4%)

bsearch36.0ms (0.5%)

bsearch35.0ms (0.5%)

bsearch50.0ms (0.7%)

bsearch68.0ms (0.9%)

bsearch59.0ms (0.8%)

bsearch25.0ms (0.3%)

simplify42.0ms (0.5%)

soundness1.5s (19.5%)

preprocess84.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	97	695
1	146	695
2	182	695
3	219	695
4	264	695
5	339	695
6	441	695
7	533	695
8	589	695
9	608	695
10	619	695
11	620	695