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 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

const: 0.0ms (0% of total)

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

sample986.0ms (12.6%)

Results

620.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 338.0ms

ival-mult: 170.0ms (50.3% of total)

ival-sub: 108.0ms (32% of total)

ival-add: 40.0ms (11.8% of total)

const: 18.0ms (5.3% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess386.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

2165×	`fma-neg`
412×	`sub-neg`
400×	`fma-define`
267×	`unsub-neg`
239×	`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	3811	224
6	4343	224
7	4478	224
8	4504	224
9	4508	224
10	4561	224
11	4621	224
12	4645	224
13	4645	210
14	6612	210
15	6612	210
16	6612	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)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 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 (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)))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) 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)))
(+.f64 x (fma.f64 y (-.f64 #s(literal -1/2 binary64) 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 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 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 #s(literal -918938533204673/1000000000000000 binary64) (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) x))
(+.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)))
(fma.f64 x (+.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) y))

explain124.0ms (1.6%)

FPErrors

Click to see full error table

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

Results

77.0ms

512×

valid

Compiler

Compiled 91 to 64 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 20.0ms (46.1% of total)

ival-sub: 18.0ms (41.5% of total)

const: 3.0ms (6.9% of total)

ival-add: 2.0ms (4.6% of total)

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

eval1.0ms (0%)

Compiler: Compiled 40 to 28 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize315.0ms (4%)

Algorithm

2×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	0	(+.f64 x #s(literal -1/2 binary64))
✓	cost-diff	0	(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	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)))
✓	accuracy	100.0%	(+.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	100.0%	(*.f64 y #s(literal 1/2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓	accuracy	100.0%	(-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))

Rules

746×	`fma-neg`
731×	`fma-neg`
595×	`fma-define`
595×	`fma-define`
194×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	35	98
2	75	98
3	148	94
4	355	92
5	825	92
6	1381	92
7	2343	92
8	2897	92
9	2997	92
10	3001	92
0	13	60
1	19	60
2	37	60
3	95	60
4	201	60
5	405	60
6	699	60
7	1444	60
8	2251	60
9	2789	60
10	2954	60
11	2972	60

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Results

45.0ms

256×

valid

Compiler

Compiled 53 to 36 computations (32.1% saved)

Precisions

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

ival-mult: 8.0ms (30.8% of total)

ival-add: 7.0ms (27% of total)

ival-sub: 6.0ms (23.1% of total)

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

const: 2.0ms (7.7% of total)

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

series21.0ms (0.3%)

Counts

8 → 132

Calls

Call 1

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

Outputs
#<alt (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))>
#<alt (*.f64 x (-.f64 y #s(literal 1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))>
#<alt (*.f64 y (-.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))>
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#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))>
#<alt (*.f64 x y)>
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#<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)>
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#<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))))>
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#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
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#<alt (*.f64 #s(literal 1/2 binary64) y)>
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#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt #s(literal 918938533204673/1000000000000000 binary64)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<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 918938533204673/1000000000000000 binary64) x)>
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#<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)))>
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#<alt x>
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#<alt (-.f64 y #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
1.0ms	y	@	inf	(* y 1/2)
1.0ms	x	@	inf	(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms	y	@	inf	(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms	y	@	0	(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms	x	@	0	(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))

rewrite330.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
1027×	`expm1-log1p-u`
427×	`fma-neg`
132×	`add-cube-cbrt`
130×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	137
1	281	137
2	4255	137

Stop Event

1×	node limit

Counts

8 → 259

Calls

Call 1

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

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

simplify189.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

412×	`distribute-lft-neg-in`
346×	`sub-neg`
294×	`fma-define`
253×	`associate-r`
240×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	664	11529
1	1626	10248
2	5653	10248

Stop Event

1×	node limit

Counts

391 → 369

Calls

Call 1

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

Outputs
(-.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)))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))
(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))
(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)) x)))))
(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(fma.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)))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(.f64 y (-.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (*.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1/2 binary64)))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) x))))
(*.f64 y (+.f64 x #s(literal -1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x)) y))))))
(*.f64 y (+.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)) #s(literal 1/2 binary64))))
(*.f64 y (+.f64 (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y) (+.f64 x #s(literal -1/2 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 x y))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(*.f64 y x)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(*.f64 x y)
(*.f64 y x)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) x) (/.f64 x y))))
(*.f64 y (+.f64 x (/.f64 (neg.f64 x) y)))
(*.f64 y (-.f64 x (/.f64 x y)))
#s(literal -918938533204673/1000000000000000 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal 1/2 binary64) y #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) y) #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 #s(literal 1/2 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)))
(.f64 y (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)))
(.f64 y (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.f64 y (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y)))
(*.f64 #s(literal 1/2 binary64) y)
(.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))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) (neg.f64 y))
(.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))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) (neg.f64 y))
(.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))))
(*.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)) (neg.f64 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)
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(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
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(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 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) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 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 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
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eval96.0ms (1.2%)

Compiler: Compiled 5831 to 4213 computations (27.7% saved)

prune55.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	363	6	369
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	365	6	371

Accuracy

100.0%

Counts

371 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
▶	54.3%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	47.3%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
▶	90.4%	(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))
▶	49.7%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
	42.9%	(log.f64 (exp.f64 (fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))

Compiler

Compiled 110 to 82 computations (25.5% saved)

localize361.0ms (4.6%)

Algorithm

5×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
✓	cost-diff	0	(*.f64 #s(literal 1/2 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 y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 y #s(literal 1 binary64)))
	cost-diff	0	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
✓	cost-diff	0	(/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	0	(+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 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 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
	accuracy	100.0%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	100.0%	(/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	100.0%	(+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
✓	accuracy	100.0%	(-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) y) x)))
✓	accuracy	90.4%	(.f64 x (-.f64 (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) y) x))))

Rules

714×	`fma-define`
532×	`unsub-neg`
405×	`associate-*r/`
399×	`distribute-lft-in`
399×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	201
1	35	189
2	81	189
3	212	189
4	619	189
5	1435	164
6	3614	164
7	4932	164
8	5872	164
9	6371	164
10	6649	164
11	6683	164
12	7264	164
0	7	15
1	10	15
2	15	15
3	22	15
4	30	15
5	40	15
6	52	15
7	64	15
8	67	15
0	10	38
1	20	38
2	27	38
3	34	38
4	38	38
5	43	38
6	58	38
7	81	38
8	162	38
9	305	38
10	442	38
11	477	38
12	479	38
0	10	38
1	15	38
2	22	38
3	30	38
4	32	38
0	9	32
1	17	32
2	27	28
3	41	28
4	55	28
5	72	28
6	90	28
7	105	28
8	112	28

Stop Event

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

Calls

Call 1

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

Outputs
(-.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 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 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y

Call 2

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

Outputs
(*.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)

Call 3

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

Outputs
(*.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)

Call 4

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

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

Call 5

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

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

Results

82.0ms

256×

valid

Compiler

Compiled 97 to 63 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 17.0ms (32% of total)

ival-div: 16.0ms (30.1% of total)

ival-sub: 9.0ms (16.9% of total)

ival-add: 7.0ms (13.2% of total)

const: 3.0ms (5.6% of total)

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

series23.0ms (0.3%)

Counts

11 → 150

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(* x (- y 1))
2.0ms	x	@	inf	(* x (- (+ y (/ 918938533204673/1000000000000000 x)) (+ 1 (/ (* 1/2 y) x))))
1.0ms	y	@	0	(* x (- (+ y (/ 918938533204673/1000000000000000 x)) (+ 1 (/ (* 1/2 y) x))))
1.0ms	y	@	inf	(* x (- (+ y (/ 918938533204673/1000000000000000 x)) (+ 1 (/ (* 1/2 y) x))))
1.0ms	x	@	-inf	(* x (- (+ y (/ 918938533204673/1000000000000000 x)) (+ 1 (/ (* 1/2 y) x))))

rewrite223.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1293×	`log1p-expm1-u`
178×	`expm1-log1p-u`
175×	`add-cube-cbrt`
173×	`add-exp-log`
173×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	239
1	382	231
2	5932	231

Stop Event

1×	node limit

Counts

11 → 335

Calls

Call 1

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

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

simplify253.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

442×	`fma-define`
361×	`associate-r`
330×	`exp-prod`
319×	`associate-l`
294×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	822	17319
1	2013	15828
2	7440	15828

Stop Event

1×	node limit

Counts

485 → 524

Calls

Call 1

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

Outputs
(-.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))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 x (-.f64 y #s(literal 1 binary64)))) (.f64 #s(literal 1/2 binary64) y))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) y)))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (fma.f64 x (+.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1/2 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))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 x (-.f64 (+.f64 y (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(*.f64 x (+.f64 y #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)) x)))))
(*.f64 x (+.f64 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 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) x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)))
(+.f64 (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.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 y (-.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 y x) #s(literal 1 binary64)))))
(*.f64 x (+.f64 y (+.f64 (/.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) x) #s(literal -1 binary64))))
(+.f64 (.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.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))))
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eval149.0ms (1.9%)

Compiler: Compiled 9806 to 6776 computations (30.9% saved)

prune93.0ms (1.2%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	575	6	581
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	577	10	587

Accuracy

100.0%

Counts

587 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
✓	54.3%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	47.3%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
▶	25.2%	(*.f64 y x)
▶	24.1%	(*.f64 y #s(literal -1/2 binary64))
✓	49.7%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
▶	54.2%	(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)))
▶	26.9%	(neg.f64 x)
	33.9%	(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
▶	29.0%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 96 to 76 computations (20.8% saved)

localize87.0ms (1.1%)

Algorithm

5×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y x)
✓	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	0	(neg.f64 x)
	cost-diff	0	(/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
✓	cost-diff	256	(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #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 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64))
	accuracy	100.0%	(/.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	accuracy	99.8%	(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)))

Rules

20×	`fma-define`
7×	`*-commutative`
7×	`sub-neg`
7×	`distribute-lft-in`
5×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	18	57
2	30	57
3	37	42
4	51	42
5	62	42
6	72	42
7	86	42
8	105	42
9	125	42
10	126	42
0	1	1
0	6	12
1	11	12
2	13	12
3	15	12
4	20	12
5	24	12
6	29	12
0	7	15
1	8	15
0	8	21
1	9	21

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(*.f64 y x)
y
x

Outputs
(*.f64 y x)
y
x

Call 2

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

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

Call 3

Inputs
(neg.f64 x)
x

Outputs
(neg.f64 x)
x

Call 4

Inputs
#s(literal 918938533204673/1000000000000000 binary64)

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Call 5

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

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

Results

36.0ms

256×

valid

Compiler

Compiled 35 to 22 computations (37.1% saved)

Precisions

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

ival-div: 6.0ms (36.2% of total)

ival-mult: 5.0ms (30.1% of total)

ival-add: 3.0ms (18.1% of total)

const: 1.0ms (6% of total)

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

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

series6.0ms (0.1%)

Counts

5 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite166.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
449×	`log-prod`
424×	`prod-diff`
147×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	193	67
2	2628	67

Stop Event

1×	node limit

Counts

5 → 293

Calls

Call 1

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

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

simplify176.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

433×	`fma-neg`
417×	`distribute-lft-neg-out`
314×	`distribute-rgt-neg-out`
247×	`associate-l`
237×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	628	10245
1	1435	7720
2	4288	5055

Stop Event

1×	node limit

Counts

365 → 350

Calls

Call 1

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

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

eval94.0ms (1.2%)

Compiler: Compiled 6612 to 3990 computations (39.7% saved)

prune122.0ms (1.6%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	371	2	373
Fresh	0	1	1
Picked	0	5	5
Done	0	4	4
Total	371	12	383

Accuracy

100.0%

Counts

383 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
✓	54.3%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	26.4%	(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
✓	47.3%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
✓	25.2%	(*.f64 y x)
✓	24.1%	(*.f64 y #s(literal -1/2 binary64))
✓	49.7%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	54.2%	(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)))
✓	26.9%	(neg.f64 x)
▶	33.9%	(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
▶	2.7%	x
✓	29.0%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 69 to 54 computations (21.7% saved)

localize145.0ms (1.9%)

Algorithm

3×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
✓	cost-diff	-6272	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	cost-diff	-6272	(exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
	cost-diff	0	(*.f64 y #s(literal -1/2 binary64))
✓	cost-diff	6528	(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
✓	accuracy	100.0%	(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
	accuracy	100.0%	(*.f64 y #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))
✓	accuracy	98.9%	(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))

Rules

8×	`sub-neg`
6×	`fma-define`
4×	`+-commutative`
3×	`associate--r+`
3×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
0	12	68
1	17	56
2	25	56
0	7	15
1	10	15
2	15	15
3	22	15
4	30	15
5	40	15
6	52	15
7	64	15
8	67	15

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
x

Outputs
x

Results

21.0ms	141×	0	valid
81.0ms	115×	5	exit

Compiler

Compiled 33 to 25 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

backward-pass: 27.0ms (45.9% of total)

ival-mult: 12.0ms (20.4% of total)

ival-add: 6.0ms (10.2% of total)

ival-exp: 5.0ms (8.5% of total)

ival-log: 5.0ms (8.5% of total)

const: 2.0ms (3.4% of total)

ival-sub: 2.0ms (3.4% of total)

series4.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))>
#<alt (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64))))>
#<alt (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))>
#<alt (-.f64 #s(literal -918938533204673/1000000000000000 binary64) 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 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (+.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)))))>
#<alt (+.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 y (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)))))))>
#<alt (+.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))) (.f64 y (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 y (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 #s(literal 1/8 binary64) (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))))))))>
#<alt (exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))>
#<alt (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))>
#<alt (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))>
#<alt (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))>
#<alt (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))>
#<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 #s(literal -918938533204673/1000000000000000 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 918938533204673/1000000000000000 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 (*.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)))))>

Calls

12 calls:

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

rewrite139.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`log1p-expm1-u`
761×	`expm1-log1p-u`
610×	`unpow-prod-down`
356×	`log-prod`
173×	`prod-diff`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	158	50
2	1989	50

Stop Event

1×	node limit

Counts

4 → 268

Calls

Call 1

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

Outputs
(+.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 y #s(literal -1/2 binary64)) (log.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (log.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 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 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(*.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)) (log.f64 (exp.f64 #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 (cbrt.f64 (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 2 binary64)) #s(literal 1/3 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 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 2 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 #s(literal 3 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (pow.f64 (.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)))) #s(literal 1/3 binary64)) (pow.f64 (*.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)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.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 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 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 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 #s(literal -918938533204673/2000000000000000 binary64) y))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.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 #s(literal 1/2 binary64) y))))
(/.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))
(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))
(pow.f64 (/.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 2 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)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (log.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))
(fma.f64 #s(literal -1/2 binary64) y #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 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 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) #s(literal 918938533204673/1000000000000000 binary64))
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(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(/.f64 (+.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(exp.f64 (log.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal -918938533204673/1000000000000000 binary64))

simplify246.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

384×	`unswap-sqr`
373×	`associate-+r+`
330×	`exp-prod`
290×	`associate-r`
272×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	7675
1	1019	7407
2	3290	7245

Stop Event

1×	node limit

Counts

316 → 295

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)))))
(exp.f64 #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 y (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)))))
(+.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/8 binary64) (.f64 y (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)))))))
(+.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)) (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))) (.f64 y (+.f64 (.f64 #s(literal -1/48 binary64) (.f64 y (exp.f64 #s(literal 918938533204673/1000000000000000 binary64)))) (.f64 #s(literal 1/8 binary64) (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))))))))
(exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y)))
(exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal -1/2 binary64) y)))
(exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.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))
(+.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)))))
#s(literal -918938533204673/1000000000000000 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (*.f64 #s(literal -1 binary64) x) #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)))))
(.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) 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)))))
(+.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 y #s(literal -1/2 binary64)) (log.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
(+.f64 (log.f64 (exp.f64 #s(literal 918938533204673/1000000000000000 binary64))) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(+.f64 (.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) (.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 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 (/.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y))) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(*.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)) (log.f64 (exp.f64 #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 (cbrt.f64 (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 2 binary64)) #s(literal 1/3 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 (pow.f64 (cbrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))) #s(literal 2 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 #s(literal 3 binary64) (.f64 #s(literal 1/3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y #s(literal -1/2 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal -918938533204673/1000000000000000 binary64)) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))))
(.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (fma.f64 y #s(literal -1/2 binary64) #s(literal 918938533204673/1000000000000000 binary64)))
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(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))
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(pow.f64 (/.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (.f64 #s(literal 1/2 binary64) y)) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1 binary64))
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(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)))
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(exp.f64 (*.f64 (log.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)))
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(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 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 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 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 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 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.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 (sqrt.f64 y) (*.f64 (sqrt.f64 y) #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 y)) (sqrt.f64 y) #s(literal 918938533204673/1000000000000000 binary64))
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(+.f64 (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))))
(*.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(*.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) (pow.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(*.f64 (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(*.f64 (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(*.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) (cbrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(/.f64 (+.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal -918938533204673/1000000000000000 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64)) (-.f64 #s(literal -775995832041789488711238455368417219672369217/1000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -918938533204673/1000000000000000 binary64) x) (-.f64 #s(literal 844448027808355901771309036929/1000000000000000000000000000000 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(exp.f64 (log.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 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 #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 #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 #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)))
(*.f64 y (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y) #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 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) y) #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 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) y) #s(literal -1/2 binary64)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y)))
(*.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)))))
(neg.f64 (*.f64 y (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 918938533204673/1000000000000000 binary64) y))))
(*.f64 y (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -918938533204673/1000000000000000 binary64) y))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal -918938533204673/1000000000000000 binary64) x))) #s(literal 2 binary64)))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 #s(literal -1 binary64) x #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal -918938533204673/1000000000000000 binary64))
(-.f64 #s(literal -918938533204673/1000000000000000 binary64) x)

eval87.0ms (1.1%)

Compiler: Compiled 4157 to 3507 computations (15.6% saved)

prune54.0ms (0.7%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	314	1	315
Fresh	0	0	0
Picked	1	2	3
Done	0	9	9
Total	315	12	327

Accuracy

100.0%

Counts

327 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
✓	54.3%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	47.3%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
✓	25.2%	(*.f64 y x)
✓	24.1%	(*.f64 y #s(literal -1/2 binary64))
✓	49.7%	(*.f64 x (-.f64 y #s(literal 1 binary64)))
✓	54.2%	(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) #s(literal -1 binary64)))
✓	26.9%	(neg.f64 x)
✓	33.9%	(log.f64 (exp.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 y #s(literal -1/2 binary64)))))
✓	2.7%	x
✓	29.0%	#s(literal 918938533204673/1000000000000000 binary64)
	2.7%	#s(literal -918938533204673/1000000000000000 binary64)

Compiler

Compiled 170 to 124 computations (27.1% saved)

regimes73.0ms (0.9%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

51.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
8.0ms	y
7.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))
6.0ms	x

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)

regimes60.0ms (0.8%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
5.0ms	x
5.0ms	y
4.0ms	(-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64)))

Results

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes24.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

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

11.0ms	y
11.0ms	x

Results

Accuracy	Segments	Branch
97.8%	3	`x`
98.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (0.4%)

Counts

9 → 5

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
82.2%	7	`x`
81.5%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.2%)

Counts

8 → 5

Calls

Call 1

Inputs
#s(literal -918938533204673/1000000000000000 binary64)
#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 #s(literal 918938533204673/1000000000000000 binary64) x)

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
81.2%	5	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes156.0ms (2%)

Counts

7 → 8

Calls

Call 1

Inputs
#s(literal -918938533204673/1000000000000000 binary64)
#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)

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

Calls

2 calls:

139.0ms	x
16.0ms	y

Results

Accuracy	Segments	Branch
61.5%	8	`x`
62.6%	9	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes129.0ms (1.7%)

Counts

5 → 7

Calls

Call 1

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

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

Calls

2 calls:

120.0ms	y
9.0ms	x

Results

Accuracy	Segments	Branch
56.4%	7	`y`
58.7%	7	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
53.1%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -918938533204673/1000000000000000 binary64)
#s(literal 918938533204673/1000000000000000 binary64)
x

Outputs
#s(literal 918938533204673/1000000000000000 binary64)

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
29.0%	1	`y`
29.0%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -918938533204673/1000000000000000 binary64)

Outputs
#s(literal -918938533204673/1000000000000000 binary64)

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
2.7%	1	`y`
2.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0009139651636407531	1.8864209000249639
17.0ms	-7953.751611068106	-1.0208770345348737e-9

Results

20.0ms

288×

valid

Compiler

Compiled 270 to 212 computations (21.5% saved)

Precisions

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

ival-sub: 6.0ms (52% of total)

ival-mult: 4.0ms (34.7% of total)

ival-add: 1.0ms (8.7% of total)

const: 1.0ms (8.7% of total)

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

bsearch64.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	6.288312599431621e-26	4.063488910772451e-18
18.0ms	-1357976.1363440345	-7953.751611068106
14.0ms	-2.1197753795439104e+195	-1.9998957381310937e+192
10.0ms	-1.2423984546999864e+290	-2.6566810350973814e+288

Results

32.0ms

496×

valid

Compiler

Compiled 408 to 318 computations (22.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sub: 8.0ms (44.4% of total)

ival-mult: 7.0ms (38.9% of total)

ival-add: 2.0ms (11.1% of total)

const: 1.0ms (5.6% of total)

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

bsearch52.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	0.0009139651636407531	1.8864209000249639
12.0ms	-1357976.1363440345	-7953.751611068106
13.0ms	-2.1197753795439104e+195	-1.9998957381310937e+192
10.0ms	-1.2423984546999864e+290	-2.6566810350973814e+288

Results

29.0ms

480×

valid

Compiler

Compiled 378 to 291 computations (23% saved)

Precisions

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

ival-mult: 7.0ms (45.7% of total)

ival-sub: 5.0ms (32.6% of total)

ival-add: 2.0ms (13.1% of total)

const: 1.0ms (6.5% of total)

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

bsearch152.0ms (1.9%)

Algorithm

7×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	6.47896934414473e-11	97.92685476088408
15.0ms	2.2629142593259365e-36	9.773677482306133e-33
12.0ms	5.508452928879262e-122	3.399671968283409e-118
17.0ms	-8.956355821414654e-299	-1.2974904303835274e-301
17.0ms	-1.7558612774253526e-97	-3.5074528618960137e-109
12.0ms	-1589.3057279608686	-0.613081725488226
47.0ms	-2.983784335280052e+184	-7.480237297772152e+181

Results

101.0ms

960×

valid

Compiler

Compiled 616 to 528 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 13.0ms (38.9% of total)

ival-sub: 11.0ms (32.9% of total)

ival-add: 7.0ms (20.9% of total)

const: 2.0ms (6% of total)

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

bsearch141.0ms (1.8%)

Algorithm

6×	binary-search

Stop Event

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

Steps

Time	Left	Right
60.0ms	6.47896934414473e-11	97.92685476088408
12.0ms	2.2629142593259365e-36	9.773677482306133e-33
16.0ms	5.508452928879262e-122	3.399671968283409e-118
12.0ms	-8.956355821414654e-299	-1.2974904303835274e-301
20.0ms	-1.7558612774253526e-97	-3.5074528618960137e-109
13.0ms	-659318036186.2128	-1589.3057279608686

Results

59.0ms

848×

valid

Compiler

Compiled 529 to 472 computations (10.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-sub: 14.0ms (43.7% of total)

ival-mult: 12.0ms (37.5% of total)

ival-add: 4.0ms (12.5% of total)

const: 2.0ms (6.2% of total)

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

bsearch162.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.47896934414473e-11	97.92685476088408
144.0ms	-659318036186.2128	-1589.3057279608686

Results

18.0ms

304×

valid

Compiler

Compiled 189 to 166 computations (12.2% saved)

Precisions

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

ival-mult: 4.0ms (41.2% of total)

ival-sub: 3.0ms (30.9% of total)

ival-add: 1.0ms (10.3% of total)

const: 1.0ms (10.3% of total)

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

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

16×	`unsub-neg`
14×	`neg-mul-1`
12×	`+-commutative`
10×	`*-commutative`
9×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	633
1	125	633
2	143	633
3	155	633
4	177	633
5	210	633

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(+.f64 (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))) #s(literal 918938533204673/1000000000000000 binary64))
(if (<=.f64 y #s(literal -3039929748475085/2251799813685248 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -28499999999999998729791096199855182596482348237172992440158399818820924740802749587303539550634212535689535903686122684124007724514998812762456442367391415328473126003230426599595801040742165126598900034970405440361369994652510404035935878452905062350054607822383651153675312712534013771776 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -440000000000000021035583265156523635101303663126595332654103571670212740800485833393440384105891470633215771453567974749134060908857398815626270903726860881566363177356558492411311892547552411648 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -8000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1298074214633707/324518553658426726783156020576256 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 x (-.f64 y #s(literal 1 binary64)))))))
(if (<=.f64 y #s(literal -102000000000000004565123500217102123226078968503785532106666472799795960698144847673533951538459389737049202669377035360386225087237676040211299283095927004662778159523984714216455951766550168895719416557337040747344936789421732828719450037033120780124716269468663204975890708053847380590592 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -1220000000000000052431737165773495990348489895926069514670971505195764730180242922007589230627545460619787126321393313099590625401688712081970638819123660700185605238758577400746731549504705658880 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -8000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y x)))))
(if (<=.f64 x #s(literal -94000000000000005476251051482043349787215203986254805377876859672702843831736834949516444019998786621089359012552290701026229508829900942008408753177675000538514372358339234734538752 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 x #s(literal -231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal -6597562568034857/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 5814709794364855/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 496910556692507/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))))))))
(if (<=.f64 x #s(literal -1600 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal -5127248624301375/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 5678427533559429/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))))))
(if (<=.f64 x #s(literal -1600 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
#s(literal 918938533204673/1000000000000000 binary64)
#s(literal -918938533204673/1000000000000000 binary64)

Outputs
(fma.f64 y (+.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 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 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 y #s(literal 1/2 binary64))))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x (+.f64 y #s(literal -1 binary64))) (.f64 y #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 1 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 1 binary64)))) (*.f64 y (-.f64 x #s(literal 1/2 binary64))) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 y #s(literal -28499999999999998729791096199855182596482348237172992440158399818820924740802749587303539550634212535689535903686122684124007724514998812762456442367391415328473126003230426599595801040742165126598900034970405440361369994652510404035935878452905062350054607822383651153675312712534013771776 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -440000000000000021035583265156523635101303663126595332654103571670212740800485833393440384105891470633215771453567974749134060908857398815626270903726860881566363177356558492411311892547552411648 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -8000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1298074214633707/324518553658426726783156020576256 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 x (-.f64 y #s(literal 1 binary64)))))))
(if (<=.f64 y #s(literal -28499999999999998729791096199855182596482348237172992440158399818820924740802749587303539550634212535689535903686122684124007724514998812762456442367391415328473126003230426599595801040742165126598900034970405440361369994652510404035935878452905062350054607822383651153675312712534013771776 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -440000000000000021035583265156523635101303663126595332654103571670212740800485833393440384105891470633215771453567974749134060908857398815626270903726860881566363177356558492411311892547552411648 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -8000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1298074214633707/324518553658426726783156020576256 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 x (+.f64 y #s(literal -1 binary64)))))))
(if (<=.f64 y #s(literal -102000000000000004565123500217102123226078968503785532106666472799795960698144847673533951538459389737049202669377035360386225087237676040211299283095927004662778159523984714216455951766550168895719416557337040747344936789421732828719450037033120780124716269468663204975890708053847380590592 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal -1220000000000000052431737165773495990348489895926069514670971505195764730180242922007589230627545460619787126321393313099590625401688712081970638819123660700185605238758577400746731549504705658880 binary64)) (.f64 y x) (if (<=.f64 y #s(literal -8000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y x)))))
(if (<=.f64 x #s(literal -94000000000000005476251051482043349787215203986254805377876859672702843831736834949516444019998786621089359012552290701026229508829900942008408753177675000538514372358339234734538752 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -2206763817411543/2251799813685248 binary64)) (.f64 y x) (if (<=.f64 x #s(literal -231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal -6597562568034857/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 5814709794364855/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 496910556692507/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x))))))))
(if (<=.f64 x #s(literal -1600 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal -6304320991423117/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal -5127248624301375/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 5678427533559429/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (if (<=.f64 x #s(literal 4676805239458889/93536104789177786765035829293842113257979682750464 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))))))
(if (<=.f64 x #s(literal -1600 binary64)) (neg.f64 x) (if (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (neg.f64 x)))
(if (or (<=.f64 x #s(literal -1600 binary64)) (not (<=.f64 x #s(literal 8286623314361713/9007199254740992 binary64)))) (neg.f64 x) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)
#s(literal -918938533204673/1000000000000000 binary64)

soundness1.7s (21.1%)

Rules

2165×	`fma-neg`
822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
449×	`log-prod`
442×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	822	17319
1	2013	15828
2	7440	15828
0	664	11529
1	1626	10248
2	5653	10248
0	33	304
1	98	264
2	250	236
3	786	224
4	2305	224
5	3811	224
6	4343	224
7	4478	224
8	4504	224
9	4508	224
10	4561	224
11	4621	224
12	4645	224
13	4645	210
14	6612	210
15	6612	210
16	6612	210
0	628	10245
1	1435	7720
2	4288	5055
0	17	72
1	193	67
2	2628	67

Stop Event

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

Compiler

Compiled 789 to 514 computations (34.9% saved)

preprocess73.0ms (0.9%)

Compiler: Compiled 420 to 282 computations (32.9% saved)

Iter	Nodes	Cost
0	10	57
1	18	57
2	30	57
3	37	42
4	51	42
5	62	42
6	72	42
7	86	42
8	105	42
9	125	42
10	126	42
0	1	1
0	6	12
1	11	12
2	13	12
3	15	12
4	20	12
5	24	12
6	29	12
0	7	15
1	8	15
0	8	21
1	9	21

Iter	Nodes	Cost
0	4	4
0	12	68
1	17	56
2	25	56
0	7	15
1	10	15
2	15	15
3	22	15
4	30	15
5	40	15
6	52	15
7	64	15
8	67	15

Iter	Nodes	Cost
0	10	57
1	18	57
2	30	57
3	37	42
4	51	42
5	62	42
6	72	42
7	86	42
8	105	42
9	125	42
10	126	42
0	1	1
0	6	12
1	11	12
2	13	12
3	15	12
4	20	12
5	24	12
6	29	12
0	7	15
1	8	15
0	8	21
1	9	21

Iter	Nodes	Cost
0	4	4
0	12	68
1	17	56
2	25	56
0	7	15
1	10	15
2	15	15
3	22	15
4	30	15
5	40	15
6	52	15
7	64	15
8	67	15

analyze0.0ms (0%)

sample986.0ms (12.6%)

preprocess386.0ms (4.9%)

explain124.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize315.0ms (4%)

series21.0ms (0.3%)

rewrite330.0ms (4.2%)

simplify189.0ms (2.4%)

eval96.0ms (1.2%)

prune55.0ms (0.7%)

localize361.0ms (4.6%)

series23.0ms (0.3%)

rewrite223.0ms (2.8%)

simplify253.0ms (3.2%)

eval149.0ms (1.9%)

prune93.0ms (1.2%)

localize87.0ms (1.1%)

series6.0ms (0.1%)

rewrite166.0ms (2.1%)

simplify176.0ms (2.2%)

eval94.0ms (1.2%)

prune122.0ms (1.6%)

localize145.0ms (1.9%)

series4.0ms (0.1%)

rewrite139.0ms (1.8%)

simplify246.0ms (3.1%)

eval87.0ms (1.1%)

prune54.0ms (0.7%)

regimes73.0ms (0.9%)

regimes60.0ms (0.8%)

regimes24.0ms (0.3%)

regimes29.0ms (0.4%)

regimes13.0ms (0.2%)

regimes156.0ms (2%)

regimes129.0ms (1.7%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes1.0ms (0%)

bsearch34.0ms (0.4%)

bsearch64.0ms (0.8%)

bsearch52.0ms (0.7%)

bsearch152.0ms (1.9%)

bsearch141.0ms (1.8%)

bsearch162.0ms (2.1%)

simplify59.0ms (0.8%)

soundness1.7s (21.1%)

preprocess73.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	57
1	18	57
2	30	57
3	37	42
4	51	42
5	62	42
6	72	42
7	86	42
8	105	42
9	125	42
10	126	42
0	1	1
0	6	12
1	11	12
2	13	12
3	15	12
4	20	12
5	24	12
6	29	12
0	7	15
1	8	15
0	8	21
1	9	21

Iter	Nodes	Cost
0	4	4
0	12	68
1	17	56
2	25	56
0	7	15
1	10	15
2	15	15
3	22	15
4	30	15
5	40	15
6	52	15
7	64	15
8	67	15