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)

...c/correct-round.rkt:121:19: 0.0ms (0% of total)

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

sample901.0ms (17.1%)

Results

681.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

...c/correct-round.rkt:121:19: 164.0ms (36% of total)

ival-mult: 124.0ms (27.2% of total)

ival-sub: 101.0ms (22.1% of total)

ival-add: 50.0ms (11% of total)

const: 15.0ms (3.3% of total)

backward-pass: 2.0ms (0.4% of total)

Bogosity

preprocess395.0ms (7.5%)

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))

explain94.0ms (1.8%)

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

55.0ms

512×

valid

Compiler

Compiled 91 to 32 computations (64.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

...c/correct-round.rkt:121:19: 12.0ms (41.6% of total)

ival-mult: 7.0ms (24.3% of total)

ival-sub: 6.0ms (20.8% of total)

ival-add: 3.0ms (10.4% of total)

const: 1.0ms (3.5% of total)

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

731×	`fma-neg`
595×	`fma-define`
181×	`cancel-sign-sub-inv`
144×	`sub-neg`
139×	`associate-+l-`

Iterations

Useful iterations: 4 (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

Stop Event

1×

saturated

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)))
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)

localize39.0ms (0.7%)

Localize:

Found 4 expressions of interest:

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

Results

28.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-mult: 5.0ms (33.3% of total)

...c/correct-round.rkt:121:19: 5.0ms (33.3% of total)

ival-sub: 3.0ms (20% of total)

ival-add: 2.0ms (13.3% of total)

const: 1.0ms (6.7% of total)

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

series11.0ms (0.2%)

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms	y	@	0	(- (* x (+ y -1)) (- (* y 1/2) 918938533204673/1000000000000000))
1.0ms	y	@	-inf	(* x (+ y -1))
1.0ms	x	@	0	(* x (+ y -1))
0.0ms	y	@	inf	(* x (+ y -1))

rewrite254.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1113×	`log1p-expm1-u`
1113×	`expm1-log1p-u`
626×	`fma-define`
336×	`fma-neg`
89×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	197	75
2	2967	75

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

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

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

simplify152.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

739×	`times-frac`
566×	`fma-neg`
538×	`associate-+r+`
312×	`cancel-sign-sub-inv`
204×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	10435
1	1128	9472
2	3331	9012

Stop Event

1×	node limit

Counts

290 → 282

Calls

Call 1

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

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

eval36.0ms (0.7%)

Compiler: Compiled 5252 to 757 computations (85.6% saved)

prune38.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	277	5	282
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	278	5	283

Accuracy

100.0%

Counts

283 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.5%	(-.f64 (.f64 x y) (-.f64 (.f64 y #s(literal 1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64)))
▶	46.7%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
▶	52.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	100.0%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
▶	48.8%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))

Compiler

Compiled 82 to 62 computations (24.4% saved)

simplify90.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

766×	`fma-neg`
554×	`fma-define`
175×	`cancel-sign-sub-inv`
145×	`sub-neg`
98×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	261
1	55	256
2	97	244
3	219	244
4	594	244
5	988	244
6	1626	244
7	2462	244
8	2779	244
9	2816	244

Stop Event

1×

saturated

Calls

Call 1

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

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

localize84.0ms (1.6%)

Localize:

Found 13 expressions of interest:

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

Results

59.0ms

256×

valid

Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions

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

ival-sub: 11.0ms (34.8% of total)

ival-mult: 9.0ms (28.5% of total)

...c/correct-round.rkt:121:19: 8.0ms (25.3% of total)

ival-add: 3.0ms (9.5% of total)

const: 1.0ms (3.2% of total)

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

series23.0ms (0.4%)

Counts

12 → 165

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(* x y)
1.0ms	x	@	-inf	(- (* y (+ x -1/2)) x)
1.0ms	y	@	-inf	(- (* y (+ x -1/2)) x)
0.0ms	y	@	0	(- (* y (+ x -1/2)) x)
0.0ms	y	@	inf	(- (* y (+ x -1/2)) x)

rewrite220.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1315×	`log1p-expm1-u`
313×	`expm1-log1p-u`
167×	`add-cube-cbrt`
166×	`add-exp-log`
166×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	211
1	419	206
2	5586	206

Stop Event

1×	node limit

Counts

12 → 403

Calls

Call 1

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

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

simplify294.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

365×	`fma-define`
339×	`associate-r`
306×	`div-sub`
303×	`associate-l`
215×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	798	18107
1	1910	16738
2	6833	16621

Stop Event

1×	node limit

Counts

568 → 508

Calls

Call 1

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

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

eval65.0ms (1.2%)

Compiler: Compiled 7575 to 1564 computations (79.4% saved)

prune71.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	522	3	525
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	524	6	530

Accuracy

100.0%

Counts

530 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(-.f64 (.f64 x y) (.f64 y #s(literal 1/2 binary64)))
✓	46.7%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
✓	52.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
▶	79.8%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x))
✓	48.8%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
▶	27.2%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 40 to 30 computations (25% saved)

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

316×	`fma-define`
284×	`fma-neg`
70×	`cancel-sign-sub-inv`
62×	`sub-neg`
39×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	133
1	33	124
2	61	117
3	112	114
4	169	114
5	255	114
6	455	114
7	785	114
8	1146	114
9	1263	114
10	1300	114
11	1302	114

Stop Event

1×

saturated

Calls

Call 1

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

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

localize46.0ms (0.9%)

Localize:

Found 6 expressions of interest:

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

Results

34.0ms

256×

valid

Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions

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

ival-mult: 7.0ms (43.1% of total)

...c/correct-round.rkt:121:19: 5.0ms (30.8% of total)

ival-sub: 3.0ms (18.5% of total)

ival-add: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite157.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`log1p-expm1-u`
1102×	`expm1-log1p-u`
720×	`fma-define`
356×	`fma-neg`
90×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	227	76
2	2952	72

Stop Event

1×	node limit

Counts

4 → 349

Calls

Call 1

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

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

simplify197.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-neg`
428×	`distribute-lft-neg-in`
381×	`distribute-rgt-neg-in`
233×	`fma-undefine`
231×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	615	13438
1	1420	12369
2	4179	12019

Stop Event

1×	node limit

Counts

445 → 437

Calls

Call 1

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

Outputs
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.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 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 #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)))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) y))))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(-.f64 (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x y)) x)
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x y)
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 y (-.f64 (+.f64 x (.f64 #s(literal 918938533204673/1000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))))
(*.f64 y (+.f64 x (/.f64 (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) y)))
(*.f64 y (-.f64 x (/.f64 (+.f64 x #s(literal -918938533204673/1000000000000000 binary64)) y)))
#s(literal 918938533204673/1000000000000000 binary64)
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(-.f64 (fma.f64 y x #s(literal 918938533204673/1000000000000000 binary64)) x)
(fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 918938533204673/1000000000000000 binary64))
(*.f64 x (-.f64 y #s(literal 1 binary64)))
(-.f64 (*.f64 x y) x)
(*.f64 x (+.f64 #s(literal -1 binary64) y))
(.f64 x (-.f64 (+.f64 y (.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) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal -1 binary64) y)))
(.f64 x (-.f64 (+.f64 y (.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) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
(*.f64 x (+.f64 (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (+.f64 #s(literal -1 binary64) y)))
(.f64 x (-.f64 (+.f64 y (.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) #s(literal 1 binary64))))
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 y (/.f64 #s(literal 918938533204673/1000000000000000 binary64) x))))
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eval54.0ms (1%)

Compiler: Compiled 7089 to 1002 computations (85.9% saved)

prune59.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	467	1	468
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	467	7	474

Accuracy

100.0%

Counts

474 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(-.f64 (.f64 x y) (.f64 y #s(literal 1/2 binary64)))
✓	46.7%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
✓	52.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	79.8%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x))
✓	48.8%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
▶	21.8%	(*.f64 y #s(literal -1/2 binary64))
✓	27.2%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 45 to 34 computations (24.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15

Stop Event

1×

saturated

Calls

Call 1

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)

localize16.0ms (0.3%)

Localize:

Found 1 expressions of interest:

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

Results

12.0ms

256×

valid

Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions

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

ival-mult: 2.0ms (83.6% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite146.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
484×	`expm1-log1p-u`
314×	`associate-r`
287×	`associate-l`
176×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	46	10
2	489	10
3	5796	10

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 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 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 y #s(literal -1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(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 (cbrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)))

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

628×	`sub-neg`
512×	`times-frac`
383×	`associate-r`
382×	`prod-exp`
329×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	564
1	162	558
2	404	551
3	1650	547
4	5072	547

Stop Event

1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(+.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -1/2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) #s(literal -1 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64))) (log.f64 (pow.f64 (exp.f64 y) #s(literal -1/4 binary64))))
(-.f64 (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (.f64 y #s(literal -1/2 binary64)) #s(literal 1 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 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y #s(literal -1/2 binary64))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y #s(literal -1/2 binary64))))) (sqrt.f64 (log.f64 (.f64 y #s(literal -1/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(fabs.f64 (*.f64 y #s(literal -1/2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) y))
(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 (cbrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y #s(literal -1/2 binary64)))) #s(literal 2 binary64)))

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

eval5.0ms (0.1%)

Compiler: Compiled 383 to 121 computations (68.4% saved)

prune8.0ms (0.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	37	7	44

Accuracy

100.0%

Counts

44 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(-.f64 (.f64 x y) (.f64 y #s(literal 1/2 binary64)))
✓	46.7%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) (*.f64 #s(literal 1/2 binary64) y))
✓	52.6%	(-.f64 #s(literal 918938533204673/1000000000000000 binary64) x)
✓	79.8%	(+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y x) x))
✓	48.8%	(*.f64 y (-.f64 x #s(literal 1/2 binary64)))
✓	21.8%	(*.f64 y #s(literal -1/2 binary64))
✓	27.2%	#s(literal 918938533204673/1000000000000000 binary64)

Compiler

Compiled 118 to 66 computations (44.1% saved)

regimes18.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes38.0ms (0.7%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
98.9%	3	`x`
99.3%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
77.6%	5	`x`
97.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
52.6%	1	`x`
71.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
27.2%	1	`x`
46.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (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

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
27.2%	1	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.1960031781956602e-10	4989.412383142202
15.0ms	-14389322185852.83	-826717435.7908939

Results

24.0ms

288×

valid

Compiler

Compiled 362 to 258 computations (28.7% saved)

Precisions

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

...c/correct-round.rkt:121:19: 7.0ms (43.6% of total)

ival-mult: 4.0ms (24.9% of total)

ival-sub: 3.0ms (18.7% of total)

ival-add: 2.0ms (12.5% of total)

const: 1.0ms (6.2% of total)

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

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.1960031781956602e-10	4989.412383142202
16.0ms	-14389322185852.83	-826717435.7908939

Results

24.0ms

288×

valid

Compiler

Compiled 342 to 248 computations (27.5% saved)

Precisions

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

...c/correct-round.rkt:121:19: 7.0ms (43.3% of total)

ival-mult: 4.0ms (24.7% of total)

ival-sub: 3.0ms (18.5% of total)

ival-add: 2.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.1960031781956602e-10	4989.412383142202
17.0ms	-32.600761209262544	-0.0010887046007444512

Results

23.0ms

288×

valid

Compiler

Compiled 270 to 212 computations (21.5% saved)

Precisions

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

...c/correct-round.rkt:121:19: 5.0ms (34.5% of total)

ival-mult: 4.0ms (27.6% of total)

ival-sub: 3.0ms (20.7% of total)

ival-add: 1.0ms (6.9% of total)

const: 1.0ms (6.9% of total)

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

bsearch39.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.1960031781956602e-10	4989.412383142202
16.0ms	-14389322185852.83	-826717435.7908939

Results

26.0ms

288×

valid

Compiler

Compiled 234 to 194 computations (17.1% saved)

Precisions

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

ival-sub: 6.0ms (34% of total)

...c/correct-round.rkt:121:19: 5.0ms (28.3% of total)

ival-mult: 4.0ms (22.6% of total)

ival-add: 1.0ms (5.7% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.1960031781956602e-10	4989.412383142202
14.0ms	-32.600761209262544	-0.0010887046007444512

Results

23.0ms

288×

valid

Compiler

Compiled 198 to 176 computations (11.1% saved)

Precisions

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

...c/correct-round.rkt:121:19: 5.0ms (34.6% of total)

ival-mult: 4.0ms (27.7% of total)

ival-sub: 3.0ms (20.7% of total)

ival-add: 2.0ms (13.8% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`unsub-neg`
17×	`+-commutative`
14×	`neg-mul-1`
12×	`sub-neg`
11×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	405
1	107	405
2	130	405
3	143	405
4	166	405
5	205	405

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 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (*.f64 y (+.f64 x #s(literal -1/2 binary64))) x))
(if (<=.f64 y #s(literal -2200000000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 4900 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 y x) x)) (-.f64 (.f64 x y) (.f64 y #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -16000000000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 3800 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 y x) x)) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -6530219459687219/4503599627370496 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 -850000000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #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 (.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 y (+.f64 x #s(literal -1/2 binary64))) x))
(if (<=.f64 y #s(literal -2200000000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 4900 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 y x) x)) (-.f64 (.f64 x y) (.f64 y #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -2200000000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 4900 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x y) x)) (-.f64 (.f64 x y) (.f64 y #s(literal 1/2 binary64)))))
(if (<=.f64 y #s(literal -16000000000 binary64)) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (if (<=.f64 y #s(literal 3800 binary64)) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 y x) x)) (*.f64 y (-.f64 x #s(literal 1/2 binary64)))))
(if (or (<=.f64 y #s(literal -16000000000 binary64)) (not (<=.f64 y #s(literal 3800 binary64)))) (.f64 y (-.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 918938533204673/1000000000000000 binary64) (-.f64 (.f64 x y) x)))
(if (<=.f64 y #s(literal -6530219459687219/4503599627370496 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 -6530219459687219/4503599627370496 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 -850000000 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 3152519739159347/2251799813685248 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x) (.f64 y #s(literal -1/2 binary64))))
(if (or (<=.f64 y #s(literal -850000000 binary64)) (not (<=.f64 y #s(literal 3152519739159347/2251799813685248 binary64)))) (*.f64 y #s(literal -1/2 binary64)) (-.f64 #s(literal 918938533204673/1000000000000000 binary64) x))
(if (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (.f64 y #s(literal -1/2 binary64)) (if (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)) #s(literal 918938533204673/1000000000000000 binary64) (.f64 y #s(literal -1/2 binary64))))
(if (or (<=.f64 y #s(literal -4165829655317709/2251799813685248 binary64)) (not (<=.f64 y #s(literal 4165829655317709/2251799813685248 binary64)))) (*.f64 y #s(literal -1/2 binary64)) #s(literal 918938533204673/1000000000000000 binary64))
#s(literal 918938533204673/1000000000000000 binary64)

soundness1.3s (24.4%)

Rules

2165×	`fma-neg`
739×	`times-frac`
626×	`fma-neg`
566×	`fma-neg`
538×	`associate-+r+`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	615	13438
1	1420	12369
2	4179	12019
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	798	18107
1	1910	16738
2	6833	16621
0	473	10435
1	1128	9472
2	3331	9012

Stop Event

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

Compiler

Compiled 418 to 162 computations (61.2% saved)

preprocess46.0ms (0.9%)

Compiler: Compiled 258 to 134 computations (48.1% saved)

analyze0.0ms (0%)

sample901.0ms (17.1%)

preprocess395.0ms (7.5%)

explain94.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify81.0ms (1.5%)

localize39.0ms (0.7%)

series11.0ms (0.2%)

rewrite254.0ms (4.8%)

simplify152.0ms (2.9%)

eval36.0ms (0.7%)

prune38.0ms (0.7%)

simplify90.0ms (1.7%)

localize84.0ms (1.6%)

series23.0ms (0.4%)

rewrite220.0ms (4.2%)

simplify294.0ms (5.6%)

eval65.0ms (1.2%)

prune71.0ms (1.3%)

simplify49.0ms (0.9%)

localize46.0ms (0.9%)

series6.0ms (0.1%)

rewrite157.0ms (3%)

simplify197.0ms (3.7%)

eval54.0ms (1%)

prune59.0ms (1.1%)

simplify5.0ms (0.1%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite146.0ms (2.8%)

simplify69.0ms (1.3%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

regimes18.0ms (0.3%)

regimes7.0ms (0.1%)

regimes38.0ms (0.7%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

bsearch37.0ms (0.7%)

bsearch37.0ms (0.7%)

bsearch38.0ms (0.7%)

bsearch39.0ms (0.7%)

bsearch37.0ms (0.7%)

simplify10.0ms (0.2%)

soundness1.3s (24.4%)

preprocess46.0ms (0.9%)

end0.0ms (0%)

Profiling