Metrics for Linear.Matrix:fromQuaternion from linear-1.19.1.3, 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 12 to 8 computations (33.3% saved)

Precisions

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

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

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

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

sample1.2s (45.2%)

Results

800.0ms	6010×	256	valid
348.0ms	2246×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 312.0ms

Operation ival-mult, time spent: 242.0ms, 78.0% of total-time

Operation ival-add, time spent: 55.0ms, 18.0% of total-time

Operation const, time spent: 14.0ms, 4.0% of total-time

Bogosity

preprocess379.0ms (14.8%)

Algorithm

1×	egg-herbie

Rules

2644×	`fma-def`
286×	`unsub-neg`
228×	`distribute-lft-neg-in`
208×	`distribute-lft-in`
200×	`distribute-rgt-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
11	-	-	`(+.f64 (.f64 x x) (.f64 x y))`
0	-	-	`x`
0	-	-	`(*.f64 x y)`
0	-	-	`(*.f64 x x)`
0	-	-	`(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))`
0	-	-	`2`
0	-	-	`y`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	788	196
4	1499	196
5	2594	196
6	2987	196
7	3105	196
8	3137	196
9	3147	196
10	3148	196

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x (neg.f64 y))))
(neg.f64 (.f64 2 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(neg.f64 (.f64 2 (+.f64 (.f64 x x) (*.f64 x (neg.f64 y)))))
(.f64 2 (+.f64 (.f64 y y) (*.f64 y x)))

Outputs
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 2 x))
(.f64 2 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y)))
(.f64 2 (.f64 x (+.f64 x (neg.f64 y))))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (-.f64 y x) (.f64 x -2))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x (neg.f64 y))))
(.f64 2 (.f64 x (+.f64 x (neg.f64 y))))
(.f64 2 (.f64 x (-.f64 x y)))
(.f64 (-.f64 y x) (.f64 x -2))
(neg.f64 (.f64 2 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 x) y))))
(.f64 -2 (.f64 x (+.f64 x (neg.f64 y))))
(.f64 (.f64 x (-.f64 x y)) -2)
(.f64 2 (.f64 x (-.f64 y x)))
(neg.f64 (.f64 2 (+.f64 (.f64 x x) (*.f64 x (neg.f64 y)))))
(.f64 -2 (.f64 x (+.f64 x (neg.f64 y))))
(.f64 (.f64 x (-.f64 x y)) -2)
(.f64 2 (.f64 x (-.f64 y x)))
(.f64 2 (+.f64 (.f64 y y) (*.f64 y x)))
(.f64 2 (.f64 y (+.f64 y x)))
(.f64 2 (.f64 y (+.f64 x y)))

Compiler

Compiled 67 to 25 computations (62.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

Operation ival-mult, time spent: 13.0ms, 67.0% of total-time

Operation ival-add, time spent: 5.0ms, 26.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
▶	95.7%	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize60.0ms (2.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
✓	96.3%	(+.f64 (.f64 x x) (.f64 x y))

Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions

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

Operation ival-mult, time spent: 13.0ms, 77.0% of total-time

Operation ival-add, time spent: 3.0ms, 18.0% of total-time

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

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (+.f64 x y) (.f64 2 x))
1.0ms	x	@	inf	(+.f64 (.f64 x x) (.f64 x y))
1.0ms	x	@	inf	(.f64 (+.f64 x y) (.f64 2 x))
0.0ms	x	@	0	(+.f64 (.f64 x x) (.f64 x y))
0.0ms	y	@	inf	(+.f64 (.f64 x x) (.f64 x y))

rewrite221.0ms (8.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`fma-def`
1012×	`log-prod`
968×	`log1p-expm1-u`
968×	`expm1-log1p-u`
368×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	190	50
2	2700	50

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 x y))
(.f64 (+.f64 x y) (.f64 2 x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x y))) (/.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (-.f64 x y))))
(*.f64 x (+.f64 x y))
(.f64 (.f64 x (+.f64 x y)) 1)
(*.f64 (+.f64 x y) x)
(.f64 1 (.f64 x (+.f64 x y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x y))) 2) (cbrt.f64 (*.f64 x (+.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x y)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x 2)) (pow.f64 x 4))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 x y))))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(.f64 (.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x 2)) (pow.f64 x 4)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x 2)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 4)) (-.f64 (.f64 x y) (pow.f64 x 2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(pow.f64 (*.f64 x (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x y)))))
(log.f64 (.f64 (exp.f64 (pow.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))) (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (pow.f64 x 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (exp.f64 (pow.f64 x 2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (expm1.f64 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y))))
(fma.f64 x x (*.f64 x y))
(fma.f64 x y (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) 1 (*.f64 x y))
(fma.f64 y x (pow.f64 x 2))
(fma.f64 (*.f64 x y) 1 (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (*.f64 x y))
(fma.f64 1 (*.f64 x y) (pow.f64 x 2))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (pow.f64 x 2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 x 2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x 2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(+.f64 0 (.f64 x (.f64 (+.f64 x y) 2)))
(+.f64 (.f64 (.f64 x 2) x) (.f64 (.f64 x 2) y))
(+.f64 (.f64 (.f64 x 2) y) (.f64 (.f64 x 2) x))
(+.f64 (.f64 x (.f64 x 2)) (.f64 y (.f64 x 2)))
(+.f64 (.f64 y (.f64 x 2)) (.f64 x (.f64 x 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2)))) 1)
(/.f64 (.f64 (.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (.f64 (.f64 x 2) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x 2)) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 x 2)) (-.f64 x y))
(pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(exp.f64 (log.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (+.f64 x y) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(fma.f64 x (.f64 x 2) (.f64 y (*.f64 x 2)))
(fma.f64 y (.f64 x 2) (.f64 x (*.f64 x 2)))
(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
(fma.f64 (.f64 x 2) y (.f64 (*.f64 x 2) x))

simplify73.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1406×	`fma-def`
1284×	`times-frac`
1036×	`distribute-lft-in`
1006×	`distribute-rgt-in`
914×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	4432
1	620	4337
2	1826	4280

Stop Event

1×	node limit

Counts

146 → 123

Calls

Call 1

Inputs
(*.f64 x y)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x y)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x y)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x y))) (/.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (-.f64 x y))))
(*.f64 x (+.f64 x y))
(.f64 (.f64 x (+.f64 x y)) 1)
(*.f64 (+.f64 x y) x)
(.f64 1 (.f64 x (+.f64 x y)))
(.f64 (cbrt.f64 (.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x y))) 2) (cbrt.f64 (*.f64 x (+.f64 x y))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x y)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x y)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x 2)) (pow.f64 x 4))))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 x y))))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(.f64 (.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(/.f64 1 (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x 2)) (pow.f64 x 4)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (.f64 x (-.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x 2)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 4)) (-.f64 (.f64 x y) (pow.f64 x 2)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(pow.f64 (*.f64 x (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x y)))))
(log.f64 (.f64 (exp.f64 (pow.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))) (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (pow.f64 x 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (exp.f64 (pow.f64 x 2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (expm1.f64 (pow.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y))))
(fma.f64 x x (*.f64 x y))
(fma.f64 x y (pow.f64 x 2))
(fma.f64 (pow.f64 x 2) 1 (*.f64 x y))
(fma.f64 y x (pow.f64 x 2))
(fma.f64 (*.f64 x y) 1 (pow.f64 x 2))
(fma.f64 1 (pow.f64 x 2) (*.f64 x y))
(fma.f64 1 (*.f64 x y) (pow.f64 x 2))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (pow.f64 x 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (pow.f64 x 2))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 x 2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 x 2))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x 2))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(+.f64 0 (.f64 x (.f64 (+.f64 x y) 2)))
(+.f64 (.f64 (.f64 x 2) x) (.f64 (.f64 x 2) y))
(+.f64 (.f64 (.f64 x 2) y) (.f64 (.f64 x 2) x))
(+.f64 (.f64 x (.f64 x 2)) (.f64 y (.f64 x 2)))
(+.f64 (.f64 y (.f64 x 2)) (.f64 x (.f64 x 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2)))) 1)
(/.f64 (.f64 (.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (.f64 (.f64 x 2) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x 2)) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 x 2)) (-.f64 x y))
(pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 2)
(sqrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (+.f64 x y) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(exp.f64 (log.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (+.f64 x y) 2))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(fma.f64 x (.f64 x 2) (.f64 y (*.f64 x 2)))
(fma.f64 y (.f64 x 2) (.f64 x (*.f64 x 2)))
(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
(fma.f64 (.f64 x 2) y (.f64 (*.f64 x 2) x))

Outputs
(*.f64 x y)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(pow.f64 x 2)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(*.f64 x y)
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(+.f64 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(.f64 2 (.f64 x y))
(.f64 x (.f64 2 y))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 2 (.f64 x y))
(.f64 x (.f64 2 y))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 2 (.f64 x y))
(.f64 x (.f64 2 y))
(.f64 x (.f64 y 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 x y)))) 1)
(*.f64 x (+.f64 x y))
(-.f64 (/.f64 (pow.f64 x 4) (.f64 x (-.f64 x y))) (/.f64 (pow.f64 (.f64 x y) 2) (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(*.f64 x (+.f64 x y))
(.f64 (.f64 x (+.f64 x y)) 1)
(*.f64 x (+.f64 x y))
(*.f64 (+.f64 x y) x)
(*.f64 x (+.f64 x y))
(.f64 1 (.f64 x (+.f64 x y)))
(*.f64 x (+.f64 x y))
(.f64 (cbrt.f64 (.f64 x (+.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 2))
(*.f64 x (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x y))) 2) (cbrt.f64 (*.f64 x (+.f64 x y))))
(*.f64 x (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x y)))
(*.f64 x (+.f64 x y))
(.f64 (sqrt.f64 (.f64 x (+.f64 x y))) (sqrt.f64 (*.f64 x (+.f64 x y))))
(*.f64 x (+.f64 x y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x y)))
(*.f64 x (+.f64 x y))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x 2)) (pow.f64 x 4))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 (pow.f64 x 2))) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (*.f64 x (-.f64 y x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 x (.f64 y (*.f64 x (-.f64 y x))) (pow.f64 x 4)))
(.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (/.f64 1 (*.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))
(*.f64 x (+.f64 x y))
(.f64 (.f64 x (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))
(*.f64 x (+.f64 x y))
(/.f64 1 (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (pow.f64 x 2)) (pow.f64 x 4)) (+.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 6))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 (pow.f64 x 2))) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (*.f64 x (-.f64 y x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 x (.f64 y (*.f64 x (-.f64 y x))) (pow.f64 x 4)))
(/.f64 1 (/.f64 (.f64 x (-.f64 x y)) (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x 2)) (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 (pow.f64 x 2))) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (*.f64 x (-.f64 y x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 x (.f64 y (*.f64 x (-.f64 y x))) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 3) y))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 (pow.f64 x 2))) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (*.f64 x (-.f64 y x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 x (.f64 y (*.f64 x (-.f64 y x))) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (*.f64 x y) (pow.f64 x 2)) (pow.f64 x 4))))
(.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (neg.f64 (pow.f64 x 2))) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 (.f64 x y) (*.f64 x (-.f64 y x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6)) (fma.f64 x (.f64 y (*.f64 x (-.f64 y x))) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (neg.f64 (.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 4)) (-.f64 (.f64 x y) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2)) (.f64 x (-.f64 x y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(*.f64 (/.f64 x (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(/.f64 (fma.f64 x (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(*.f64 (/.f64 x (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(pow.f64 (*.f64 x (+.f64 x y)) 1)
(*.f64 x (+.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x y))) 3)
(*.f64 x (+.f64 x y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3) 1/3)
(*.f64 x (+.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x y))) 2)
(*.f64 x (+.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 2))
(*.f64 x (+.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x y)))
(*.f64 x (+.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (+.f64 x y)))))
(*.f64 x (+.f64 x y))
(log.f64 (.f64 (exp.f64 (pow.f64 x 2)) (+.f64 1 (expm1.f64 (.f64 x y)))))
(*.f64 x (+.f64 x y))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))) (pow.f64 (exp.f64 x) y)))
(*.f64 x (+.f64 x y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))) (+.f64 1 (expm1.f64 (.f64 x y)))))
(*.f64 x (+.f64 x y))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (pow.f64 x 2)))))
(*.f64 x (+.f64 x y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (exp.f64 (pow.f64 x 2))))
(*.f64 x (+.f64 x y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 1 (expm1.f64 (pow.f64 x 2)))))
(*.f64 x (+.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x y)) 3))
(*.f64 x (+.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x y) 3)))
(*.f64 x (+.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x y))))
(*.f64 x (+.f64 x y))
(exp.f64 (log.f64 (*.f64 x (+.f64 x y))))
(*.f64 x (+.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x y))) 1))
(*.f64 x (+.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x y))))
(*.f64 x (+.f64 x y))
(fma.f64 x x (*.f64 x y))
(*.f64 x (+.f64 x y))
(fma.f64 x y (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (pow.f64 x 2) 1 (*.f64 x y))
(*.f64 x (+.f64 x y))
(fma.f64 y x (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (*.f64 x y) 1 (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 1 (pow.f64 x 2) (*.f64 x y))
(*.f64 x (+.f64 x y))
(fma.f64 1 (*.f64 x y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x y))
(fma.f64 x y (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 x y))
(*.f64 x (+.f64 x y))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 x y))
(fma.f64 x y (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) x) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 x y))
(*.f64 x (+.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 x y))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 x 2))
(*.f64 x (+.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 x y))
(+.f64 0 (.f64 x (.f64 (+.f64 x y) 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 (.f64 x 2) x) (.f64 (.f64 x 2) y))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 (.f64 x 2) y) (.f64 (.f64 x 2) x))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 x (.f64 x 2)) (.f64 y (.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (.f64 y (.f64 x 2)) (.f64 x (.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x 2)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 x 2)))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2)))) 1)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(/.f64 (.f64 (.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (*.f64 x 2)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (.f64 x 2))
(/.f64 (fma.f64 x (pow.f64 y 3) (pow.f64 x 4)) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) 2))
(/.f64 (.f64 (.f64 x 2) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (-.f64 x y) (*.f64 x 2)))
(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (-.f64 x y)) (.f64 x 2))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 x 2)) (fma.f64 y (-.f64 y x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (*.f64 x 2)))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (.f64 x 2))
(/.f64 (fma.f64 x (pow.f64 y 3) (pow.f64 x 4)) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) 2))
(/.f64 (.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 x 2)) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (/.f64 (-.f64 x y) (*.f64 x 2)))
(.f64 (/.f64 (.f64 x 2) (-.f64 x y)) (-.f64 (pow.f64 x 2) (pow.f64 y 2)))
(.f64 (/.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (-.f64 x y)) (.f64 x 2))
(pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 3)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(pow.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 3) 1/3)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 2)
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(sqrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 2))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2)))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 3))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x y) 3) (pow.f64 (.f64 x 2) 3)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (+.f64 x y) 3)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(exp.f64 (log.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (+.f64 x y) 2))) 1))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(fma.f64 x (.f64 x 2) (.f64 y (*.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(fma.f64 y (.f64 x 2) (.f64 x (*.f64 x 2)))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(fma.f64 (.f64 x 2) y (.f64 (*.f64 x 2) x))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))

eval33.0ms (1.3%)

Compiler: Compiled 1661 to 916 computations (44.9% saved)

prune125.0ms (4.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	122	3	125

Accuracy

100.0%

Counts

125 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
✓	95.7%	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
▶	55.9%	(.f64 2 (.f64 x y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize30.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x y))

Compiler

Compiled 14 to 7 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

Operation ival-mult, time spent: 4.0ms, 89.0% of total-time

Operation const, time spent: 1.0ms, 22.0% of total-time

series2.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 2 (.f64 x y))
0.0ms	y	@	0	(.f64 2 (.f64 x y))
0.0ms	x	@	inf	(.f64 2 (.f64 x y))
0.0ms	y	@	inf	(.f64 2 (.f64 x y))
0.0ms	y	@	-inf	(.f64 2 (.f64 x y))

rewrite80.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

660×	`unpow-prod-down`
474×	`log-prod`
466×	`cbrt-prod`
361×	`log1p-expm1-u`
361×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	1002	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(.f64 2 (.f64 x y))

Outputs
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 0 (.f64 y (.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 4))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))))
(-.f64 (+.f64 1 (.f64 y (.f64 2 x))) 1)
(pow.f64 (.f64 y (.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 2 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 2 x))))) (sqrt.f64 (log.f64 (.f64 y (.f64 2 x)))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 2 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))
(cbrt.f64 (pow.f64 (.f64 y (.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 2 x))))
(exp.f64 (log.f64 (.f64 y (.f64 2 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 2 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (.f64 y (.f64 2 x))))

simplify67.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2154×	`log-prod`
814×	`associate-r`
768×	`associate-+r+`
740×	`associate-+l+`
710×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	560
1	164	560
2	483	560
3	3315	560
4	7023	560

Stop Event

1×	node limit

Counts

22 → 30

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 0 (.f64 y (.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 4))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))))
(-.f64 (+.f64 1 (.f64 y (.f64 2 x))) 1)
(pow.f64 (.f64 y (.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (.f64 y (.f64 2 x))) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 y (.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 2 x))) 2)
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 2 x))))) (sqrt.f64 (log.f64 (.f64 y (.f64 2 x)))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 2 x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))
(cbrt.f64 (pow.f64 (.f64 y (.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (.f64 y (.f64 2 x))))
(exp.f64 (log.f64 (.f64 y (.f64 2 x))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 2 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 2 x)))) 2))
(log1p.f64 (expm1.f64 (.f64 y (.f64 2 x))))

Outputs
(+.f64 (.f64 x y) (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 0 (.f64 y (.f64 2 x)))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 4))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 4))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 y 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(-.f64 (+.f64 1 (.f64 y (.f64 2 x))) 1)
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(pow.f64 (.f64 y (.f64 2 x)) 1)
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(pow.f64 (cbrt.f64 (.f64 y (.f64 2 x))) 3)
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(pow.f64 (pow.f64 (.f64 y (.f64 2 x)) 2) 1/2)
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(pow.f64 (pow.f64 (.f64 y (.f64 2 x)) 3) 1/3)
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(pow.f64 (sqrt.f64 (.f64 y (.f64 2 x))) 2)
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(pow.f64 (E.f64) (log.f64 (.f64 y (.f64 2 x))))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y (.f64 x 2)))) 2)) (cbrt.f64 (log.f64 (.f64 y (.f64 x 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 y 2)))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 y 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 2 x))))) (sqrt.f64 (log.f64 (.f64 y (.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y (.f64 x 2))))) (sqrt.f64 (log.f64 (.f64 y (.f64 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 y 2))))) (sqrt.f64 (log.f64 (.f64 x (.f64 y 2)))))
(sqrt.f64 (pow.f64 (.f64 y (.f64 2 x)) 2))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) y) 2))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(cbrt.f64 (pow.f64 (.f64 y (.f64 2 x)) 3))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(expm1.f64 (log1p.f64 (.f64 y (.f64 2 x))))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(exp.f64 (log.f64 (.f64 y (.f64 2 x))))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (*.f64 2 x)))) 3))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 y (.f64 2 x)))) 1/3))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y (*.f64 2 x)))) 2))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))
(log1p.f64 (expm1.f64 (.f64 y (.f64 2 x))))
(.f64 2 (.f64 x y))
(.f64 y (.f64 x 2))
(.f64 x (.f64 y 2))

eval7.0ms (0.3%)

Compiler: Compiled 317 to 224 computations (29.3% saved)

prune6.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	30	3	33

Accuracy

100.0%

Counts

33 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
✓	95.7%	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
✓	55.9%	(.f64 2 (.f64 x y))

Compiler

Compiled 50 to 31 computations (38% saved)

regimes85.0ms (3.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 2 (.f64 x y))
(.f64 (+.f64 x y) (.f64 2 x))
(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))

Outputs
(.f64 (+.f64 x y) (.f64 2 x))

Calls

4 calls:

74.0ms	x
4.0ms	y
3.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
3.0ms	(+.f64 (.f64 x x) (.f64 x y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))`
100.0%	1	`(+.f64 (.f64 x x) (.f64 x y))`

Compiler

Compiled 26 to 16 computations (38.5% saved)

regimes5.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 2 (.f64 x y))

Outputs
(.f64 2 (.f64 x y))

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
55.9%	1	`x`
55.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
1	18	47

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (+.f64 x y) (.f64 2 x))
(.f64 2 (.f64 x y))

Outputs
(.f64 (+.f64 x y) (.f64 2 x))
(.f64 (+.f64 x y) (.f64 x 2))
(.f64 2 (.f64 x y))

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness190.0ms (7.4%)

Rules

2644×	`fma-def`
286×	`unsub-neg`
228×	`distribute-lft-neg-in`
208×	`distribute-lft-in`
200×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	212
1	95	196
2	276	196
3	788	196
4	1499	196
5	2594	196
6	2987	196
7	3105	196
8	3137	196
9	3147	196
10	3148	196

Stop Event

1×

saturated

Compiler

Compiled 46 to 24 computations (47.8% saved)

end0.0ms (0%)

preprocess32.0ms (1.3%)

Compiler: Compiled 68 to 44 computations (35.3% saved)

analyze0.0ms (0%)

sample1.2s (45.2%)

preprocess379.0ms (14.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize60.0ms (2.3%)

series6.0ms (0.2%)

rewrite221.0ms (8.6%)

simplify73.0ms (2.8%)

eval33.0ms (1.3%)

prune125.0ms (4.9%)

localize30.0ms (1.2%)

series2.0ms (0.1%)

rewrite80.0ms (3.1%)

simplify67.0ms (2.6%)

eval7.0ms (0.3%)

prune6.0ms (0.2%)

regimes85.0ms (3.3%)

regimes5.0ms (0.2%)

simplify2.0ms (0.1%)

soundness190.0ms (7.4%)

end0.0ms (0%)

preprocess32.0ms (1.3%)

Profiling