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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

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

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (40.9%)

Results

985.0ms	7205×	256	valid
96.0ms	1048×	256	infinite
0.0ms	2×	1024	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

Operation ival-add, time spent: 263.0ms, 75.0% of total-time

Operation ival-mult, time spent: 78.0ms, 22.0% of total-time

Operation const, time spent: 10.0ms, 3.0% of total-time

Bogosity

preprocess179.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1138×	`fma-neg`
844×	`fma-define`
168×	`cancel-sign-sub-inv`
154×	`unsub-neg`
138×	`distribute-rgt-in`

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	221
1	70	209
2	201	177
3	660	171
4	1501	168
5	2144	168
6	2257	168
7	2261	168

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y 1) x y)
(fma.f64 x (+.f64 y 1) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y 1) x y)
(fma.f64 x (+.f64 y 1) y)
(+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y)
(+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x))
(+.f64 y (neg.f64 (fma.f64 x y x)))
(fma.f64 x (-.f64 -1 y) y)
(+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y))
(-.f64 (fma.f64 x (neg.f64 y) x) y)
(-.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (fma.f64 x y y))
(fma.f64 y (-.f64 -1 x) x)
(neg.f64 (+.f64 (+.f64 (*.f64 (neg.f64 x) y) (neg.f64 x)) y))
(neg.f64 (+.f64 y (-.f64 (*.f64 x (neg.f64 y)) x)))
(-.f64 (neg.f64 y) (neg.f64 (fma.f64 x y x)))
(-.f64 (fma.f64 x y x) y)
(fma.f64 x y (-.f64 x y))
(fma.f64 y (+.f64 x -1) x)
(neg.f64 (+.f64 (+.f64 (*.f64 x (neg.f64 y)) x) (neg.f64 y)))
(neg.f64 (-.f64 (fma.f64 x (neg.f64 y) x) y))
(-.f64 y (-.f64 x (*.f64 x y)))
(-.f64 (fma.f64 x y y) x)
(fma.f64 (+.f64 y -1) x y)
(fma.f64 x (+.f64 y -1) y)
(+.f64 (+.f64 (*.f64 y x) y) x)
(+.f64 y (fma.f64 x y x))
(+.f64 x (fma.f64 x y y))
(fma.f64 (+.f64 y 1) x y)
(fma.f64 x (+.f64 y 1) y)

Symmetry

(sort x y)

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

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

Operation ival-add, time spent: 6.0ms, 56.0% of total-time

Operation ival-mult, time spent: 4.0ms, 37.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

localize47.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 x y) x)

Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions

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

Operation ival-add, time spent: 7.0ms, 44.0% of total-time

Operation composed, time spent: 4.0ms, 25.0% of total-time

Operation ival-mult, time spent: 4.0ms, 25.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series4.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (+.f64 (*.f64 x y) x)>

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

Calls

6 calls:

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

rewrite191.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`prod-diff`
894×	`unpow-prod-down`
482×	`log-prod`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	98	18
2	1332	18

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1))) (/.f64 (pow.f64 x 2) (*.f64 x (-.f64 y 1))))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 y 1))
(*.f64 (fma.f64 x y x) 1)
(*.f64 (fma.f64 x y x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2)) (/.f64 1 (*.f64 x (-.f64 y 1))))
(*.f64 (+.f64 y 1) x)
(*.f64 (pow.f64 1 1/3) (fma.f64 x y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) 2) 3) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x y x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x y x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (.f64 x (-.f64 y 1)) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 y (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2)) (.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))) (neg.f64 (.f64 x (-.f64 y 1))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 x y) 2)) (-.f64 x (.f64 x y)))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (.f64 x (-.f64 y 1)) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 (log.f64 x) (log1p.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 y)) 1) 1))
(fma.f64 x y x)
(fma.f64 x 1 (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) 1 x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)

simplify74.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1210×	`distribute-lft-neg-in`
1028×	`prod-exp`
1024×	`unswap-sqr`
754×	`times-frac`
736×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2283
1	400	2153
2	1018	2111
3	4295	2111

Stop Event

1×	node limit

Counts

89 → 79

Calls

Call 1

Inputs
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 1 y))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
x
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(+.f64 x (*.f64 x y))
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x y)
(.f64 -1 (.f64 y (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 x y)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 x y)))))
(.f64 -1 (.f64 y (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1))) (/.f64 (pow.f64 x 2) (*.f64 x (-.f64 y 1))))
(*.f64 x (+.f64 1 y))
(*.f64 x (+.f64 y 1))
(*.f64 (fma.f64 x y x) 1)
(*.f64 (fma.f64 x y x) (log.f64 (exp.f64 1)))
(*.f64 1 (fma.f64 x y x))
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2)) (/.f64 1 (*.f64 x (-.f64 y 1))))
(*.f64 (+.f64 y 1) x)
(*.f64 (pow.f64 1 1/3) (fma.f64 x y x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) 2) 3) (cbrt.f64 (fma.f64 x y x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x y x))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x y x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (.f64 x (-.f64 y 1)) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 y (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2)) (.f64 x (-.f64 y 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))) (neg.f64 (.f64 x (-.f64 y 1))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 x y) 2)) (-.f64 x (.f64 x y)))
(pow.f64 (fma.f64 x y x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (.f64 x (-.f64 y 1)) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(log.f64 (exp.f64 (fma.f64 x y x)))
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(exp.f64 (.f64 (.f64 3 (+.f64 (log.f64 x) (log1p.f64 y))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 y)) 1) 1))
(fma.f64 x y x)
(fma.f64 x 1 (*.f64 x y))
(fma.f64 y x x)
(fma.f64 (*.f64 x y) 1 x)
(fma.f64 1 x (*.f64 x y))
(fma.f64 1 (*.f64 x y) x)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)

Outputs
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
x
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(+.f64 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 y (+.f64 x (/.f64 x y)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x y)
(.f64 -1 (.f64 y (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 x y)))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(.f64 -1 (.f64 y (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 x y)))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(.f64 -1 (.f64 y (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 x y)))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y x))) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1))) (/.f64 (pow.f64 x 2) (*.f64 x (-.f64 y 1))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 x (+.f64 y 1))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (fma.f64 x y x) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (fma.f64 x y x) (log.f64 (exp.f64 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 1 (fma.f64 x y x))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (cbrt.f64 (fma.f64 x y x)) (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 2) (cbrt.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (sqrt.f64 (fma.f64 x y x)) (sqrt.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 y (pow.f64 x 2)) (+.f64 y -1))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 (+.f64 y -1) (pow.f64 x 2)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2)) (/.f64 1 (*.f64 x (-.f64 y 1))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (+.f64 y 1) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (pow.f64 1 1/3) (fma.f64 x y x))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) 2) 3) (cbrt.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x y x) 3))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y x)) 3)) (cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 x y x)) 3)))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x y x))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 x y x) (cbrt.f64 (fma.f64 x y x))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x y x))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y x)) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x y x) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x y x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x y x) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x y x))))
(/.f64 1 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 y (pow.f64 x 2)) (+.f64 y -1))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 (+.f64 y -1) (pow.f64 x 2)))))
(/.f64 1 (/.f64 (.f64 x (-.f64 y 1)) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 y (pow.f64 x 2)) (+.f64 y -1))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 (+.f64 y -1) (pow.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 y (pow.f64 x 2)))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 y (pow.f64 x 2)) (+.f64 y -1))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 (+.f64 y -1) (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2)) (.f64 x (-.f64 y 1)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 y (pow.f64 x 2)) (+.f64 y -1))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 (+.f64 y -1) (pow.f64 x 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))) (neg.f64 (.f64 x (-.f64 y 1))))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (.f64 x y) 2)) (-.f64 x (.f64 x y)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (fma.f64 x y x) 1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (cbrt.f64 (fma.f64 x y x)) 3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (pow.f64 (fma.f64 x y x) 2) 1/2)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (pow.f64 (fma.f64 x y x) 3) 1/3)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (sqrt.f64 (fma.f64 x y x)) 2)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))) -1)
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 (*.f64 y (pow.f64 x 2)) (+.f64 y -1))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1) (pow.f64 x 3)) (fma.f64 x x (.f64 y (*.f64 (+.f64 y -1) (pow.f64 x 2)))))
(pow.f64 (/.f64 (.f64 x (-.f64 y 1)) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 2))) -1)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(sqrt.f64 (pow.f64 (fma.f64 x y x) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log.f64 (exp.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(cbrt.f64 (pow.f64 (fma.f64 x y x) 3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(expm1.f64 (log1p.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(log1p.f64 (expm1.f64 (fma.f64 x y x)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 y)))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 y)) 1))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y x))) 3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 3 (+.f64 (log.f64 x) (log1p.f64 y))) 1/3))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y x))) 2))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(exp.f64 (.f64 (.f64 (+.f64 (log.f64 x) (log1p.f64 y)) 1) 1))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 x y x)
(*.f64 x (+.f64 1 y))
(fma.f64 x 1 (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 y x x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 x y) 1 x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 1 x (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 1 (*.f64 x y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x y))
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) x)
(*.f64 x (+.f64 1 y))
(fma.f64 x y x)

eval21.0ms (0.8%)

Compiler: Compiled 1065 to 477 computations (55.2% saved)

prune11.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	78	3	81

Accuracy

100.0%

Counts

81 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (*.f64 (+.f64 y 1) x) y)
▶	63.1%	(+.f64 (*.f64 x y) y)
▶	77.2%	(+.f64 x y)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize67.0ms (2.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 y 1) x)
✓	100.0%	(+.f64 (*.f64 x y) y)

Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions

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

Operation ival-add, time spent: 10.0ms, 57.0% of total-time

Operation ival-mult, time spent: 7.0ms, 40.0% of total-time

Operation const, time spent: 1.0ms, 6.0% of total-time

series8.0ms (0.3%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(* (+ y 1) x)
1.0ms	x	@	-inf	(* (+ y 1) x)
0.0ms	x	@	0	(* (+ y 1) x)
0.0ms	y	@	inf	(+ (* x y) y)
0.0ms	x	@	inf	(* (+ y 1) x)

rewrite246.0ms (9%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`prod-diff`
764×	`log-prod`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
742×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	155	37
2	2107	36

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(+.f64 (*.f64 x y) y)
(*.f64 (+.f64 y 1) x)

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

simplify115.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1618×	`times-frac`
926×	`div-sub`
896×	`fma-define`
628×	`distribute-lft-in`
570×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	3786
1	616	3741
2	1493	3652
3	6473	3652

Stop Event

1×	node limit

Counts

162 → 138

Calls

Call 1

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

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

eval65.0ms (2.4%)

Compiler: Compiled 1491 to 652 computations (56.3% saved)

prune20.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	136	5	141

Accuracy

100.0%

Counts

141 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y 1) x) y)
✓	63.1%	(+.f64 (*.f64 x y) y)
✓	77.2%	(+.f64 x y)
▶	23.9%	(*.f64 y x)
▶	41.6%	y

Compiler

Compiled 29 to 18 computations (37.9% saved)

localize25.0ms (0.9%)

Compiler: Compiled 9 to 4 computations (55.6% saved)
Precisions: Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-mult, time spent: 2.0ms, 79.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 (+.f64 y 1) x) y)
✓	63.1%	(+.f64 (*.f64 x y) y)
✓	77.2%	(+.f64 x y)
✓	23.9%	(*.f64 y x)
✓	41.6%	y

Compiler

Compiled 63 to 33 computations (47.6% saved)

regimes19.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

Inputs
y
(*.f64 y x)
(+.f64 x y)
(+.f64 (*.f64 x y) y)
(+.f64 (*.f64 (+.f64 y 1) x) y)
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 (+.f64 y 1) x y)

Outputs
(+.f64 (*.f64 (+.f64 y 1) x) y)

Calls

3 calls:

6.0ms	x
6.0ms	y
6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

Results

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

Compiler

Compiled 15 to 9 computations (40% saved)

regimes32.0ms (1.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
85.7%	4	`x`
98.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes36.0ms (1.3%)

Counts

3 → 4

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
85.4%	4	`x`
85.1%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes29.0ms (1%)

Counts

2 → 3

Calls

Call 1

Inputs
y
(*.f64 y x)

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

Calls

2 calls:

17.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
49.6%	4	`y`
62.2%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
y

Outputs
y

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
41.6%	1	`y`
41.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.655565714829733e-8	243.02811610941674
16.0ms	-15.021873567177295	-0.0010157481114823508

Results

28.0ms	271×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 236 to 154 computations (34.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-add, time spent: 3.0ms, 54.0% of total-time

Operation ival-mult, time spent: 2.0ms, 36.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch45.0ms (1.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	1.552029331895791e-11	8259673.297618314
10.0ms	-1.6762006232471583e+192	-6.080175247909168e+191
16.0ms	-1.3236221379597278e+228	-1.8052510690338687e+227

Results

28.0ms	278×	256	valid
11.0ms	57×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 266 to 177 computations (33.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-add, time spent: 4.0ms, 58.0% of total-time

Operation ival-mult, time spent: 3.0ms, 43.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch31.0ms (1.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.552029331895791e-11	8259673.297618314
12.0ms	-2.4962760898901992	-0.2939041643067088

Results

26.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 174 to 121 computations (30.5% saved)

Precisions

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

Operation ival-add, time spent: 3.0ms, 58.0% of total-time

Operation ival-mult, time spent: 2.0ms, 39.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	234
1	58	228
2	61	228
3	64	224
4	65	224
5	66	224

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 (+.f64 y 1) x) y)
(if (<=.f64 y -15) (.f64 y x) (if (<=.f64 y 1) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 x -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792) (+.f64 x y) (if (<=.f64 x -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872) (.f64 y x) (if (<=.f64 x 7600000) (+.f64 x y) (.f64 y x))))
(if (<=.f64 x -1) (.f64 y x) (if (<=.f64 x 1) y (.f64 y x)))
y

Outputs
(+.f64 (*.f64 (+.f64 y 1) x) y)
(+.f64 y (*.f64 (+.f64 y 1) x))
(if (<=.f64 y -15) (.f64 y x) (if (<=.f64 y 1) (+.f64 x y) (+.f64 (.f64 x y) y)))
(if (<=.f64 y -15) (.f64 y x) (if (<=.f64 y 1) (+.f64 y x) (+.f64 y (.f64 y x))))
(if (<=.f64 x -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792) (+.f64 x y) (if (<=.f64 x -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872) (.f64 y x) (if (<=.f64 x 7600000) (+.f64 x y) (.f64 y x))))
(if (<=.f64 x -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792) (+.f64 y x) (if (or (<=.f64 x -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872) (not (<=.f64 x 7600000))) (*.f64 y x) (+.f64 y x)))
(if (or (<=.f64 x -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792) (not (or (<=.f64 x -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872) (not (<=.f64 x 7600000))))) (+.f64 y x) (*.f64 y x))
(if (or (<=.f64 x -299999999999999985768953899219971671139185472694122988892635741795379408259661515210231689250618210719497090208760711277377927564127487708753184756191688719385253725299912026770931706849163316352803781765940374345128227521953792) (and (not (<=.f64 x -1499999999999999998034737536027336282440384226369764787946407200252910977237854231549853379535209800459346221093417202834443414119315188036312019497581356203371216192089764621480647726697807872)) (<=.f64 x 7600000))) (+.f64 y x) (*.f64 y x))
(if (<=.f64 x -1) (.f64 y x) (if (<=.f64 x 1) y (.f64 y x)))
(if (or (<=.f64 x -1) (not (<=.f64 x 1))) (*.f64 y x) y)
y

Compiler

Compiled 69 to 43 computations (37.7% saved)

soundness232.0ms (8.4%)

Rules

1618×	`times-frac`
1582×	`prod-diff`
926×	`div-sub`
896×	`fma-define`
894×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	271	3786
1	616	3741
2	1493	3652
3	6473	3652
0	9	18
1	98	18
2	1332	18

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 31 to 16 computations (48.4% saved)

end0.0ms (0%)

preprocess72.0ms (2.6%)

Compiler: Compiled 194 to 110 computations (43.3% saved)

analyze0.0ms (0%)

sample1.1s (40.9%)

preprocess179.0ms (6.5%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize47.0ms (1.7%)

series4.0ms (0.1%)

rewrite191.0ms (7%)

simplify74.0ms (2.7%)

eval21.0ms (0.8%)

prune11.0ms (0.4%)

localize67.0ms (2.4%)

series8.0ms (0.3%)

rewrite246.0ms (9%)

simplify115.0ms (4.2%)

eval65.0ms (2.4%)

prune20.0ms (0.7%)

localize25.0ms (0.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes19.0ms (0.7%)

regimes32.0ms (1.2%)

regimes36.0ms (1.3%)

regimes29.0ms (1%)

regimes6.0ms (0.2%)

bsearch33.0ms (1.2%)

bsearch45.0ms (1.6%)

bsearch31.0ms (1.1%)

simplify9.0ms (0.3%)

soundness232.0ms (8.4%)

end0.0ms (0%)

preprocess72.0ms (2.6%)

Profiling