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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.2s (20.8%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 550.0ms

ival-sub: 198.0ms (36% of total)

...in/eval/compile.rkt:71:19: 190.0ms (34.5% of total)

ival-mult: 103.0ms (18.7% of total)

ival-add: 41.0ms (7.5% of total)

ival-true: 7.0ms (1.3% of total)

...in/eval/compile.rkt:70:19: 6.0ms (1.1% of total)

ival-assert: 4.0ms (0.7% of total)

Bogosity

preprocess401.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

2165×	`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))

explain130.0ms (2.2%)

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

Results

52.0ms

512×

valid

Compiler

Compiled 102 to 44 computations (56.9% saved)

Precisions

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

...in/eval/compile.rkt:71:19: 9.0ms (35.2% of total)

ival-mult: 6.0ms (23.5% of total)

ival-sub: 5.0ms (19.6% of total)

ival-add: 3.0ms (11.7% of total)

ival-true: 1.0ms (3.9% of total)

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

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

eval1.0ms (0%)

Compiler: Compiled 40 to 19 computations (52.5% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x (+.f64 y #s(literal -1 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
▶	99.9%	(-.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))

Status

Accuracy

Program

▶

100.0%

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

▶

99.9%

(-.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))

Compiler

Compiled 34 to 25 computations (26.5% saved)

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

778×	`fmm-def`
562×	`fma-define`
146×	`sub-neg`
118×	`associate-+l-`
116×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	229
1	50	229
2	114	229
3	266	229
4	686	229
5	1507	229
6	2216	229
7	2736	229
8	2892	229
9	2915	229

Stop Event

1×

saturated

Calls

Call 1

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

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

localize74.0ms (1.2%)

Localize:

Found 10 expressions of interest:

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

Results

52.0ms

256×

valid

Compiler

Compiled 76 to 18 computations (76.3% saved)

Precisions

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

ival-fma: 13.0ms (47.4% of total)

...in/eval/compile.rkt:71:19: 5.0ms (18.2% of total)

ival-sub: 5.0ms (18.2% of total)

ival-mult: 3.0ms (10.9% of total)

ival-add: 1.0ms (3.6% of total)

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

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

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

series17.0ms (0.3%)

Counts

9 → 168

Calls

Call 1

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

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

42 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* x (+ y -1))
1.0ms	y	@	inf	(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
1.0ms	y	@	0	(* x (+ y -1))
1.0ms	y	@	-inf	(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))
1.0ms	x	@	0	(- 918938533204673/1000000000000000 (+ (* y (- 1/2 x)) x))

rewrite294.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1127×	`log1p-expm1-u`
763×	`expm1-log1p-u`
152×	`add-cube-cbrt`
150×	`add-exp-log`
150×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	187
1	324	179
2	4869	179

Stop Event

1×	node limit

Counts

9 → 283

Calls

Call 1

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

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

simplify219.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

399×	`distribute-lft-neg-in`
369×	`sub-neg`
331×	`fma-define`
257×	`associate-r`
248×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	650	16044
1	1621	14704
2	5848	14468

Stop Event

1×	node limit

Counts

451 → 359

Calls

Call 1

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

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

eval53.0ms (0.9%)

Compiler: Compiled 6115 to 1173 computations (80.8% saved)

prune55.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	394	8	402
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	397	8	405

Accuracy

100.0%

Counts

405 → 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)
▶	75.8%	(-.f64 (.f64 x y) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
	75.9%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
	54.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
▶	72.3%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
▶	51.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	50.4%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
	47.1%	(*.f64 x (+.f64 y #s(literal -1 binary64)))

Compiler

Compiled 132 to 100 computations (24.2% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

727×	`fmm-def`
505×	`fma-define`
120×	`sub-neg`
111×	`associate-+l-`
103×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	285
1	57	273
2	112	273
3	267	269
4	732	269
5	1465	269
6	2276	269
7	2689	269
8	2792	269
9	2799	269

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

localize74.0ms (1.2%)

Localize:

Found 14 expressions of interest:

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

Results

49.0ms

256×

valid

Compiler

Compiled 89 to 19 computations (78.7% saved)

Precisions

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

ival-sub: 8.0ms (37.7% of total)

ival-mult: 7.0ms (33% of total)

...in/eval/compile.rkt:71:19: 5.0ms (23.6% of total)

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

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

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

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

series18.0ms (0.3%)

Counts

11 → 159

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 x y)>
#<alt (-.f64 (.f64 x y) (-.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))>

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

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(- x 1/2)
1.0ms	x	@	0	(* y (- x 1/2))
1.0ms	y	@	0	(* y (- x 1/2))
0.0ms	y	@	inf	(* y (- x 1/2))
0.0ms	x	@	0	(* x (- 1 y))

rewrite221.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1171×	`log1p-expm1-u`
188×	`expm1-log1p-u`
184×	`add-cube-cbrt`
182×	`add-exp-log`
181×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	202
1	392	190
2	6066	190

Stop Event

1×	node limit

Counts

11 → 379

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 x y)
(-.f64 (.f64 x y) (-.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))

Outputs
(+.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)))) (pow.f64 (cbrt.f64 (.f64 y #s(literal 1/2 binary64))) #s(literal 2 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) (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 -1/2 binary64) y))
(+.f64 (.f64 y x) (.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (.f64 y x) (.f64 (neg.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)))))
(+.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 x) (.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 2 binary64)) (.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 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 y) x) (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 (neg.f64 (*.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) (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)) (neg.f64 (*.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))
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(*.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 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 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 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y #s(literal 918938533204673/2000000000000000 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #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 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #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 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #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 (.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.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 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(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)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(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))

simplify280.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

391×	`fma-define`
316×	`associate-l`
306×	`associate-r`
247×	`distribute-rgt-in`
241×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	839	18082
1	2036	16651
2	7017	16651

Stop Event

1×	node limit

Counts

538 → 524

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)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
x
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 x y)))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x y)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.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) y)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(*.f64 x y)
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
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(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))) (sqrt.f64 (fma.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 #s(literal 1 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 (-.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 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) (fma.f64 y x (fma.f64 y #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 1 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 #s(literal 1 binary64) (fma.f64 y x (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))))
(.f64 (+.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (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 (+.f64 x #s(literal -1/2 binary64))) (-.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64)))) (+.f64 (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (+.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (.f64 y (+.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.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)) (fma.f64 y x (fma.f64 y #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 (fma.f64 y x (fma.f64 y #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 (+.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 (+.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 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 (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)) (fma.f64 y x (fma.f64 y #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))) (fma.f64 y x (fma.f64 y #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 #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 #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)) (fma.f64 y x (fma.f64 y #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 (fma.f64 y x (fma.f64 y #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 (+.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 (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 (+.f64 x #s(literal -1/2 binary64))) #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 (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))
(+.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64))
(+.f64 #s(literal -918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 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 (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 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 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 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y #s(literal 918938533204673/2000000000000000 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #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 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #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 y #s(literal 918938533204673/2000000000000000 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #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 (.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.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 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(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)))))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(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))

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)
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(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #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 (.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal -918938533204673/1000000000000000 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 y #s(literal 918938533204673/2000000000000000 binary64) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y #s(literal 1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(pow.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))
(pow.f64 (cbrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(pow.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(log.f64 (exp.f64 (fma.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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.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))
(cbrt.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))
(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))))
(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))))
(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 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 y #s(literal 1/2 binary64) #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 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 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))
(fma.f64 y #s(literal 1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64))

eval80.0ms (1.3%)

Compiler: Compiled 8909 to 1731 computations (80.6% saved)

prune87.0ms (1.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	642	5	647
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	645	10	655

Accuracy

100.0%

Counts

655 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.3%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)) x)
✓	75.8%	(-.f64 (.f64 x y) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
▶	75.9%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
	54.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓	51.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	50.4%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
▶	23.7%	(*.f64 y x)
▶	28.6%	(*.f64 y #s(literal -1/2 binary64))
▶	47.1%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	25.8%	(neg.f64 x)

Compiler

Compiled 115 to 85 computations (26.1% saved)

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

285×	`fmm-def`
262×	`fma-define`
46×	`sub-neg`
44×	`associate-+l-`
41×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	150
1	40	150
2	69	150
3	181	146
4	382	146
5	664	146
6	1063	146
7	1292	146
8	1355	146
9	1383	146
10	1384	146

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

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

localize53.0ms (0.9%)

Localize:

Found 8 expressions of interest:

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

Results

36.0ms

256×

valid

Compiler

Compiled 45 to 16 computations (64.4% saved)

Precisions

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

ival-mult: 6.0ms (35.8% of total)

...in/eval/compile.rkt:71:19: 5.0ms (29.9% of total)

ival-sub: 4.0ms (23.9% of total)

ival-neg: 1.0ms (6% of total)

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

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

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

series5.0ms (0.1%)

Counts

7 → 105

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

Calls

33 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	(* y (- 1/2 x))
0.0ms	x	@	inf	(neg x)
0.0ms	x	@	inf	(- 918938533204673/1000000000000000 (* y (- 1/2 x)))

rewrite136.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

723×	`log1p-expm1-u`
723×	`expm1-log1p-u`
596×	`log-prod`
259×	`prod-diff`
237×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	104
1	258	100
2	3464	99

Stop Event

1×	node limit

Counts

7 → 223

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

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

simplify143.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

314×	`fmm-def`
275×	`cancel-sign-sub-inv`
256×	`distribute-lft-neg-in`
247×	`associate-+r+`
247×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	7648
1	1105	7194
2	3725	6606

Stop Event

1×	node limit

Counts

328 → 301

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

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

eval44.0ms (0.7%)

Compiler: Compiled 3509 to 898 computations (74.4% saved)

prune50.0ms (0.8%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	346	2	348
Fresh	0	2	2
Picked	0	5	5
Done	0	3	3
Total	346	12	358

Accuracy

100.0%

Counts

358 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.3%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)) x)
✓	75.8%	(-.f64 (.f64 x y) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	75.9%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
▶	54.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓	51.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	50.4%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
✓	23.7%	(*.f64 y x)
✓	28.6%	(*.f64 y #s(literal -1/2 binary64))
✓	47.1%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	25.8%	(neg.f64 x)
▶	2.7%	x
▶	27.3%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 75 to 56 computations (25.3% saved)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

252×	`fma-define`
242×	`fmm-def`
72×	`cancel-sign-sub-inv`
47×	`sub-neg`
42×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	27	98
2	54	94
3	91	91
4	137	91
5	201	91
6	312	91
7	559	91
8	914	91
9	1056	91
10	1143	91
11	1148	91
12	1154	91
13	1158	91
14	1166	91
15	1168	91

Stop Event

1×

saturated

Calls

Call 1

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

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

localize40.0ms (0.7%)

Localize:

Found 5 expressions of interest:

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

Results

27.0ms

256×

valid

Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions

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

...in/eval/compile.rkt:71:19: 5.0ms (41.3% of total)

ival-mult: 3.0ms (24.8% of total)

ival-sub: 2.0ms (16.5% of total)

ival-add: 1.0ms (8.3% of total)

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

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

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

series3.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs

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

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

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

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

Calls

15 calls:

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

rewrite126.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`log1p-expm1-u`
1076×	`expm1-log1p-u`
974×	`prod-diff`
88×	`add-cube-cbrt`
87×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	187	55
2	2818	55

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs

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

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

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

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

simplify123.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

696×	`distribute-lft-in`
642×	`distribute-rgt-in`
431×	`fmm-def`
327×	`cancel-sign-sub-inv`
285×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	5992
1	863	5439
2	2960	5245

Stop Event

1×	node limit

Counts

190 → 182

Calls

Call 1

Inputs
#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 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(*.f64 x y)
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.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) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 x (-.f64 (+.f64 y (.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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 y (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.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) x) (.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) x) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 y (.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 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))
(.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))))
(.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) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y))) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 918938533204673/2000000000000000 binary64) y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64)))))
(/.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 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64))) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y #s(literal -1/2 binary64)) (.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))
(pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 y x) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
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(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) #s(literal 918938533204673/1000000000000000 binary64))

Outputs
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(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))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(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))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y))
(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))
(*.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)))
(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))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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))
(.f64 y (-.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 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))
(*.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)))))
(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))
(.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)))))
(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))
(.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)))))
(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))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 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 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) y)) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 y (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 y (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 y (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 x (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 x (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 x (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x)))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 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))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 (.f64 y #s(literal -1/2 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))
(+.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))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 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))
(.f64 #s(literal 1 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))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))) #s(literal 2 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))
(.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.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))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(.f64 (sqrt.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (+.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))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (.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) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 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) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 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)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 #s(literal 918938533204673/2000000000000000 binary64) y))) (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(.f64 (-.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 y #s(literal 918938533204673/2000000000000000 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (fma.f64 #s(literal -1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
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(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))))
(.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y x) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 y (.f64 x (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y))))
(.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y x) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 y (.f64 x (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y x) (-.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))))))
(.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (.f64 y x) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))))))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 y (.f64 x (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64))) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (+.f64 #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (.f64 y x) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 (.f64 y x) #s(literal 918938533204673/1000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 y x #s(literal -918938533204673/1000000000000000 binary64)))
(pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 1 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (cbrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 3 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(pow.f64 (sqrt.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(log.f64 (exp.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(cbrt.f64 (pow.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64)))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(expm1.f64 (log1p.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(exp.f64 (log.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1 binary64)))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 x y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64))

eval27.0ms (0.5%)

Compiler: Compiled 2953 to 594 computations (79.9% saved)

prune34.0ms (0.6%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	4	4
Done	0	8	8
Total	220	12	232

Accuracy

100.0%

Counts

232 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.3%	(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y x)) x)
✓	75.8%	(-.f64 (.f64 x y) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
✓	75.9%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))
✓	54.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal 1/2 binary64)))
✓	51.1%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	50.4%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
✓	23.7%	(*.f64 y x)
✓	28.6%	(*.f64 y #s(literal -1/2 binary64))
✓	47.1%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	25.8%	(neg.f64 x)
✓	2.7%	x
✓	27.3%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 188 to 95 computations (49.5% saved)

regimes27.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

Calls

4 calls:

7.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
7.0ms	y
6.0ms	x
6.0ms	(+.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)

regimes12.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

(-.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
99.4%	3	`x`
99.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

4.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

5.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
98.8%	3	`x`
99.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
98.0%	3	`x`
98.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
77.5%	5	`x`
79.5%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
58.1%	5	`x`
59.9%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
56.9%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
50.3%	3	`x`
31.2%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -16.2b remaining (-34.9%)

Threshold costs -16.2b (-34.9%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 918938533204673/1000000000000000 binary64)
x

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
27.3%	1	`y`
27.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.226600198782523e-7	5.686638447461074e-5
26.0ms	-28211185.17041331	-0.5318073840019479

Results

25.0ms

272×

valid

Compiler

Compiled 356 to 270 computations (24.2% saved)

Precisions

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

...in/eval/compile.rkt:71:19: 5.0ms (40.2% of total)

ival-sub: 3.0ms (24.1% of total)

ival-mult: 3.0ms (24.1% of total)

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

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

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

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

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.226600198782523e-7	5.686638447461074e-5
17.0ms	-28211185.17041331	-0.5318073840019479

Results

23.0ms

272×

valid

Compiler

Compiled 356 to 287 computations (19.4% saved)

Precisions

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

...in/eval/compile.rkt:71:19: 5.0ms (35.4% of total)

ival-sub: 4.0ms (28.3% of total)

ival-mult: 4.0ms (28.3% of total)

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

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

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

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

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.0015446469553113472	901210441424.5509
17.0ms	-28211185.17041331	-0.5318073840019479

Results

24.0ms

304×

valid

Compiler

Compiled 358 to 281 computations (21.5% saved)

Precisions

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

...in/eval/compile.rkt:71:19: 5.0ms (36% of total)

ival-mult: 4.0ms (28.8% of total)

ival-sub: 3.0ms (21.6% of total)

ival-add: 1.0ms (7.2% of total)

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

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

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

bsearch40.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	0.0015446469553113472	901210441424.5509
17.0ms	-28211185.17041331	-0.5318073840019479

Results

24.0ms

304×

valid

Compiler

Compiled 282 to 224 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

...in/eval/compile.rkt:71:19: 5.0ms (32.1% of total)

ival-sub: 5.0ms (32.1% of total)

ival-mult: 4.0ms (25.7% of total)

ival-add: 1.0ms (6.4% of total)

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

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

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

bsearch55.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	0.0015446469553113472	901210441424.5509
15.0ms	-28211185.17041331	-0.5318073840019479
14.0ms	-2.764865908100819e+157	-2.088967663395014e+155

Results

34.0ms

416×

valid

Compiler

Compiled 328 to 268 computations (18.3% saved)

Precisions

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

...in/eval/compile.rkt:71:19: 9.0ms (43.3% of total)

ival-mult: 5.0ms (24.1% of total)

ival-sub: 4.0ms (19.3% of total)

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

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

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

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

bsearch69.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	0.0015446469553113472	901210441424.5509
16.0ms	-1.6539793707613332e-241	-5.0607766512785275e-248
16.0ms	-28211185.17041331	-0.5318073840019479
12.0ms	-2.764865908100819e+157	-2.088967663395014e+155

Results

43.0ms

560×

valid

Compiler

Compiled 380 to 321 computations (15.5% saved)

Precisions

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

...in/eval/compile.rkt:71:19: 9.0ms (34.9% of total)

ival-mult: 7.0ms (27.1% of total)

ival-sub: 6.0ms (23.3% of total)

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

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

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

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

bsearch58.0ms (1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	0.0015446469553113472	901210441424.5509
17.0ms	-1.6539793707613332e-241	-5.0607766512785275e-248
18.0ms	-28211185.17041331	-0.5318073840019479

Results

39.0ms

448×

valid

Compiler

Compiled 296 to 258 computations (12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

...in/eval/compile.rkt:71:19: 9.0ms (41.6% of total)

ival-mult: 5.0ms (23.1% of total)

ival-sub: 4.0ms (18.5% of total)

ival-add: 2.0ms (9.3% of total)

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

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

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

bsearch41.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	7923857.561490559	850270546086.748
20.0ms	-17.24138362599832	-1.8885758662207613e-28

Results

26.0ms

320×

valid

Compiler

Compiled 196 to 175 computations (10.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

...in/eval/compile.rkt:71:19: 7.0ms (42.8% of total)

ival-mult: 4.0ms (24.5% of total)

ival-sub: 3.0ms (18.3% of total)

ival-add: 1.0ms (6.1% of total)

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

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

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

simplify35.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

59×	`unsub-neg`
59×	`distribute-lft-neg-in`
54×	`cancel-sign-sub`
44×	`neg-mul-1`
29×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	606
1	137	606
2	165	606
3	185	606
4	222	606
5	296	606
6	447	606
7	525	606
8	563	606
9	577	606
10	587	606
11	588	606

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)
(if (<=.f64 y #s(literal -5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 y #s(literal 7378697629483821/590295810358705651712 binary64)) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x)) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 y #s(literal -5854679515581645/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 y #s(literal 8116567392432203/147573952589676412928 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 -480000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 3500000 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 7656119366529843/4503599627370496 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -1649999999999999934435365259916826285792226194780214254285370392656511769990477360175037388321081881405336331106431897289325844333863357018519170244725964800 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -220 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -1450000000000000052085375540327025572577315916772556539172545383374201443148854913674445138851045260507704932422860954492137221236055011196922833769596977152 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -3039929748475085/562949953421312 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -4182107294586631/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 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 y #s(literal -6980579422424269/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -2282285115956629/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984 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 -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))) x)
(if (<=.f64 y #s(literal -5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 y #s(literal 7378697629483821/590295810358705651712 binary64)) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x)) x) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y (-.f64 #s(literal 1/2 binary64) x)))))
(if (or (<=.f64 y #s(literal -5404319552844595/9007199254740992 binary64)) (not (<=.f64 y #s(literal 7378697629483821/590295810358705651712 binary64)))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x)) x))
(if (or (<=.f64 y #s(literal -5404319552844595/9007199254740992 binary64)) (not (<=.f64 y #s(literal 7378697629483821/590295810358705651712 binary64)))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 x #s(literal 1/2 binary64)))) (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y x)) x))
(if (<=.f64 y #s(literal -5854679515581645/9007199254740992 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 y (-.f64 #s(literal 1/2 binary64) x))) (if (<=.f64 y #s(literal 8116567392432203/147573952589676412928 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 -5854679515581645/9007199254740992 binary64)) (not (<=.f64 y #s(literal 8116567392432203/147573952589676412928 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 -5854679515581645/9007199254740992 binary64)) (not (<=.f64 y #s(literal 8116567392432203/147573952589676412928 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 #s(literal 1 binary64) y))))
(if (<=.f64 y #s(literal -480000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 3500000 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 -480000 binary64)) (not (<=.f64 y #s(literal 3500000 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 (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 7656119366529843/4503599627370496 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 7656119366529843/4503599627370496 binary64)))) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 y #s(literal -1649999999999999934435365259916826285792226194780214254285370392656511769990477360175037388321081881405336331106431897289325844333863357018519170244725964800 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -220 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (*.f64 y #s(literal -1/2 binary64)))))
(if (<=.f64 y #s(literal -1649999999999999934435365259916826285792226194780214254285370392656511769990477360175037388321081881405336331106431897289325844333863357018519170244725964800 binary64)) (.f64 y x) (if (or (<=.f64 y #s(literal -220 binary64)) (not (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)))) (.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(if (<=.f64 y #s(literal -1450000000000000052085375540327025572577315916772556539172545383374201443148854913674445138851045260507704932422860954492137221236055011196922833769596977152 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -3039929748475085/562949953421312 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -4182107294586631/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 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 y #s(literal -6980579422424269/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -2282285115956629/120120269260875203679538523128148109780988153496792056586846390252202105001907707327158563177285302093576864306955287401906923050660835892188183374506238482560635630761454441237386053598226326597119676286686442018469285424714953873908233822195833562657193984 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 -8286623314361713/9007199254740992 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8000000 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (or (<=.f64 x #s(literal -8286623314361713/9007199254740992 binary64)) (not (<=.f64 x #s(literal 8000000 binary64)))) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.1s (18.3%)

Rules

2165×	`fmm-def`
414×	`sub-neg`
400×	`fma-define`
399×	`distribute-lft-neg-in`
391×	`fma-define`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	650	16044
1	1621	14704
2	5848	14468
0	839	18082
1	2036	16651
2	7017	16651
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×	done
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 423 to 170 computations (59.8% saved)

preprocess58.0ms (1%)

Compiler: Compiled 384 to 180 computations (53.1% saved)

Iter	Nodes	Cost
0	86	606
1	137	606
2	165	606
3	185	606
4	222	606
5	296	606
6	447	606
7	525	606
8	563	606
9	577	606
10	587	606
11	588	606

Iter	Nodes	Cost
0	86	606
1	137	606
2	165	606
3	185	606
4	222	606
5	296	606
6	447	606
7	525	606
8	563	606
9	577	606
10	587	606
11	588	606

analyze0.0ms (0%)

sample1.2s (20.8%)

preprocess401.0ms (6.7%)

explain130.0ms (2.2%)

eval1.0ms (0%)

prune3.0ms (0.1%)

simplify82.0ms (1.4%)

localize74.0ms (1.2%)

series17.0ms (0.3%)

rewrite294.0ms (4.9%)

simplify219.0ms (3.7%)

eval53.0ms (0.9%)

prune55.0ms (0.9%)

simplify85.0ms (1.4%)

localize74.0ms (1.2%)

series18.0ms (0.3%)

rewrite221.0ms (3.7%)

simplify280.0ms (4.7%)

eval80.0ms (1.3%)

prune87.0ms (1.5%)

simplify50.0ms (0.8%)

localize53.0ms (0.9%)

series5.0ms (0.1%)

rewrite136.0ms (2.3%)

simplify143.0ms (2.4%)

eval44.0ms (0.7%)

prune50.0ms (0.8%)

simplify60.0ms (1%)

localize40.0ms (0.7%)

series3.0ms (0.1%)

rewrite126.0ms (2.1%)

simplify123.0ms (2.1%)

eval27.0ms (0.5%)

prune34.0ms (0.6%)

regimes27.0ms (0.5%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch44.0ms (0.7%)

bsearch36.0ms (0.6%)

bsearch39.0ms (0.7%)

bsearch40.0ms (0.7%)

bsearch55.0ms (0.9%)

bsearch69.0ms (1.2%)

bsearch58.0ms (1%)

bsearch41.0ms (0.7%)

simplify35.0ms (0.6%)

soundness1.1s (18.3%)

preprocess58.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	86	606
1	137	606
2	165	606
3	185	606
4	222	606
5	296	606
6	447	606
7	525	606
8	563	606
9	577	606
10	587	606
11	588	606