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

Operation ival-mult, total time spent: 0.0ms

Operation ival-add, total time spent: 0.0ms

Operation const, total time spent: 0.0ms

sample1.4s (36.7%)

Results

934.0ms	5926×	body	256	valid
487.0ms	2330×	body	256	infinite

Precisions

Click to see histograms

Operation ival-mult, total time spent: 228.0ms

Operation ival-add, total time spent: 54.0ms

Operation const, total time spent: 17.0ms

Bogosity

preprocess511.0ms (13.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

243×	No Errors
13×	`(+.f64 (.f64 x x) (.f64 x 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 39 to 16 computations (59% saved)

Precisions

Click to see histograms

Operation ival-mult, total time spent: 6.0ms

Operation ival-add, total time spent: 2.0ms

Operation const, total time spent: 1.0ms

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))
▶	100.0%	(.f64 (+.f64 x y) (.f64 2 x))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize56.0ms (1.4%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

Click to see histograms

Operation ival-mult, total time spent: 8.0ms

Operation ival-add, total time spent: 2.0ms

Operation const, total time spent: 1.0ms

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite295.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`unpow-prod-down`
910×	`prod-diff`
634×	`log-prod`
598×	`log1p-expm1-u`
598×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	119	28
2	1604	28

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs
(+.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 (.f64 4 (pow.f64 (.f64 x (+.f64 x y)) 2)) 1/2)
(pow.f64 (.f64 8 (pow.f64 (.f64 x (+.f64 x y)) 3)) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 x y)) 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 (.f64 8 (pow.f64 (.f64 x (+.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))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 x y) 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 (+.f64 x y) 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 (+.f64 x y) 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 (+.f64 x y) 2)))) 2))
(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))

simplify85.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1452×	`fma-def`
1230×	`log-prod`
696×	`associate-*r/`
574×	`unswap-sqr`
506×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	1751
1	249	1716
2	595	1671
3	2219	1663
4	7034	1663

Stop Event

1×	node limit

Counts

57 → 47

Calls

Call 1

Inputs
(.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 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 (.f64 4 (pow.f64 (.f64 x (+.f64 x y)) 2)) 1/2)
(pow.f64 (.f64 8 (pow.f64 (.f64 x (+.f64 x y)) 3)) 1/3)
(pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 x y)) 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 (.f64 8 (pow.f64 (.f64 x (+.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))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 x y) 2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 (+.f64 x y) 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 (+.f64 x y) 2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 (+.f64 x y) 2)))) 2))
(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 2 (.f64 x y))
(.f64 y (.f64 2 x))
(.f64 x (.f64 2 y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 2 (.f64 x y))
(.f64 y (.f64 2 x))
(.f64 x (.f64 2 y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(.f64 2 (.f64 x y))
(.f64 y (.f64 2 x))
(.f64 x (.f64 2 y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 0 (.f64 x (.f64 (+.f64 x y) 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 (.f64 x 2) x) (.f64 (.f64 x 2) y))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 (.f64 x 2) y) (.f64 (.f64 x 2) x))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 x (.f64 x 2)) (.f64 y (.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(+.f64 (.f64 y (.f64 x 2)) (.f64 x (.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.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 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 2 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 2 x)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 2 x))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 2 x)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x y)) (.f64 2 x)))))
(+.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 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2)))) 1)
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.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 2 x) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))))
(.f64 (/.f64 (.f64 2 x) (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 2 x) (fma.f64 y (-.f64 y x) (pow.f64 x 2))))
(*.f64 (/.f64 2 (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (fma.f64 x (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 (.f64 (.f64 x 2) (-.f64 (pow.f64 x 2) (pow.f64 y 2))) (-.f64 x y))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.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 2 x) (/.f64 (fma.f64 y (-.f64 y x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 y 3))))
(.f64 (/.f64 (.f64 2 x) (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (+.f64 (pow.f64 x 3) (pow.f64 y 3)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) (/.f64 (.f64 2 x) (fma.f64 y (-.f64 y x) (pow.f64 x 2))))
(*.f64 (/.f64 2 (fma.f64 y (-.f64 y x) (pow.f64 x 2))) (fma.f64 x (pow.f64 y 3) (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (pow.f64 x 2) (pow.f64 y 2)) (.f64 x 2)) (-.f64 x y))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(pow.f64 (.f64 x (.f64 (+.f64 x y) 2)) 1)
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(pow.f64 (cbrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 3)
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(pow.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 x y)) 2)) 1/2)
(sqrt.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 x y)) 2)))
(pow.f64 (.f64 8 (pow.f64 (.f64 x (+.f64 x y)) 3)) 1/3)
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(pow.f64 (sqrt.f64 (.f64 x (.f64 (+.f64 x y) 2))) 2)
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(sqrt.f64 (.f64 4 (pow.f64 (.f64 x (+.f64 x y)) 2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 x y)) (*.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2)))))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(cbrt.f64 (.f64 8 (pow.f64 (.f64 x (+.f64 x y)) 3)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(exp.f64 (log.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 (+.f64 x y) 2))) 1))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (.f64 (+.f64 x y) 2))) 1) 1))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (*.f64 (+.f64 x y) 2)))) 3))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (.f64 (+.f64 x y) 2)))) 1/3))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (*.f64 (+.f64 x y) 2)))) 2))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(log1p.f64 (expm1.f64 (.f64 x (.f64 (+.f64 x y) 2))))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(fma.f64 x (.f64 x 2) (.f64 y (*.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(fma.f64 y (.f64 x 2) (.f64 x (*.f64 x 2)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))
(fma.f64 (.f64 x 2) y (.f64 (*.f64 x 2) x))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x (+.f64 x y)))

eval33.0ms (0.9%)

Compiler: Compiled 597 to 354 computations (40.7% saved)

prune155.0ms (4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Accuracy

100.0%

Counts

48 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
▶	50.5%	(.f64 y (.f64 2 x))
▶	50.4%	(.f64 2 (.f64 x y))
▶	96.5%	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
▶	50.5%	(.f64 y (.f64 2 x))
▶	50.4%	(.f64 2 (.f64 x y))

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize102.0ms (2.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	96.5%	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
✓	100.0%	(.f64 2 (.f64 x y))

Compiler

Compiled 46 to 25 computations (45.7% saved)

Precisions

Click to see histograms

Operation ival-mult, total time spent: 47.0ms

Operation ival-fma, total time spent: 3.0ms

Operation const, total time spent: 2.0ms

series7.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 2 (.f64 x y))
1.0ms	x	@	-inf	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
1.0ms	y	@	inf	(.f64 2 (.f64 x y))
1.0ms	x	@	inf	(.f64 2 (.f64 x y))
0.0ms	y	@	0	(.f64 2 (.f64 x y))

rewrite177.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`unpow-prod-down`
748×	`log-prod`
638×	`prod-diff`
571×	`log1p-expm1-u`
571×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	153	47
2	1581	47

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 0 (.f64 2 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 x y)))) 1)
(pow.f64 (.f64 2 (.f64 x y)) 1)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x y))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) 1/2)
(pow.f64 (pow.f64 (.f64 2 (.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x y))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x y))))
(exp.f64 (log.f64 (.f64 2 (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (*.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 2 (*.f64 x y)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (*.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x y))))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 x y)))
(+.f64 0 (.f64 (.f64 2 x) (+.f64 x y)))
(+.f64 (.f64 (.f64 2 (pow.f64 x 2)) 1) (.f64 2 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 1)
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (.f64 2 x) (pow.f64 (+.f64 x y) 1))
(.f64 (.f64 (*.f64 2 x) (+.f64 x y)) 1)
(.f64 (.f64 (*.f64 2 x) (+.f64 x y)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (*.f64 2 x) (+.f64 x y)))
(.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) (pow.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 2) (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 (sqrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 2) 3) (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 3))
(.f64 (pow.f64 1 1/3) (.f64 (*.f64 2 x) (+.f64 x y)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (.f64 (*.f64 2 x) (+.f64 x y)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (.f64 2 x) (+.f64 x y)) (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))))
(/.f64 (+.f64 (.f64 8 (pow.f64 x 6)) (pow.f64 (.f64 2 (.f64 x y)) 3)) (+.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) (.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (.f64 (pow.f64 (.f64 x y) 2) 4)) (-.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (.f64 x y))))
(pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 x) (+.f64 x y)))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y) (exp.f64 (.f64 2 (pow.f64 x 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y)))) (exp.f64 (.f64 2 (pow.f64 x 2)))))
(log.f64 (.f64 (exp.f64 (.f64 2 (pow.f64 x 2))) (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 x) (+.f64 x y))))
(exp.f64 (log.f64 (.f64 (.f64 2 x) (+.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 2 x) (+.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 2 x) (+.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 x) (+.f64 x y))))

simplify96.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2000×	`fma-neg`
1326×	`log-prod`
938×	`unswap-sqr`
594×	`*-commutative`
396×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	3077
1	437	2618
2	1751	2569
3	6480	2568

Stop Event

1×	node limit

Counts

89 → 89

Calls

Call 1

Inputs
(.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 (.f64 x y) (.f64 x y))
(+.f64 0 (.f64 2 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 x y)))) 1)
(pow.f64 (.f64 2 (.f64 x y)) 1)
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x y))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) 1/2)
(pow.f64 (pow.f64 (.f64 2 (.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x y))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y)))))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x y))))
(exp.f64 (log.f64 (.f64 2 (.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (*.f64 x y)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 2 (*.f64 x y)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (*.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x y))))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 x y)))
(+.f64 0 (.f64 (.f64 2 x) (+.f64 x y)))
(+.f64 (.f64 (.f64 2 (pow.f64 x 2)) 1) (.f64 2 (.f64 x y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 1)
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (.f64 2 x) (pow.f64 (+.f64 x y) 1))
(.f64 (.f64 (*.f64 2 x) (+.f64 x y)) 1)
(.f64 (.f64 (*.f64 2 x) (+.f64 x y)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 (*.f64 2 x) (+.f64 x y)))
(.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) (pow.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 2) (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 (sqrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 2) 3) (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 3))
(.f64 (pow.f64 1 1/3) (.f64 (*.f64 2 x) (+.f64 x y)))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (.f64 (*.f64 2 x) (+.f64 x y)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (.f64 2 x) (+.f64 x y)) (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))))
(/.f64 (+.f64 (.f64 8 (pow.f64 x 6)) (pow.f64 (.f64 2 (.f64 x y)) 3)) (+.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) (.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (.f64 (pow.f64 (.f64 x y) 2) 4)) (-.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (.f64 x y))))
(pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 x) (+.f64 x y)))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y) (exp.f64 (.f64 2 (pow.f64 x 2)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y)))) (exp.f64 (.f64 2 (pow.f64 x 2)))))
(log.f64 (.f64 (exp.f64 (.f64 2 (pow.f64 x 2))) (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 x) (+.f64 x y))))
(exp.f64 (log.f64 (.f64 (.f64 2 x) (+.f64 x y))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 2 x) (+.f64 x y))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 2 x) (+.f64 x y))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 2))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 x) (+.f64 x y))))

Outputs
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 x y) (.f64 x y))
(.f64 2 (.f64 x y))
(+.f64 0 (.f64 2 (.f64 x y)))
(.f64 2 (.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))))
(.f64 2 (.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 x y)))) 1)
(.f64 2 (.f64 x y))
(pow.f64 (.f64 2 (.f64 x y)) 1)
(.f64 2 (.f64 x y))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x y))) 3)
(.f64 2 (.f64 x y))
(pow.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) 1/2)
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 4))
(fabs.f64 (.f64 2 (.f64 x y)))
(pow.f64 (pow.f64 (.f64 2 (.f64 x y)) 3) 1/3)
(.f64 2 (.f64 x y))
(pow.f64 (sqrt.f64 (.f64 2 (.f64 x y))) 2)
(.f64 2 (.f64 x y))
(sqrt.f64 (.f64 (pow.f64 (.f64 x y) 2) 4))
(fabs.f64 (.f64 2 (.f64 x y)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y))
(.f64 2 (.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y)))))
(.f64 2 (.f64 x y))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x y)) 3))
(.f64 2 (.f64 x y))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x y))))
(.f64 2 (.f64 x y))
(exp.f64 (log.f64 (.f64 2 (.f64 x y))))
(.f64 2 (.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 2 (*.f64 x y))) 1))
(.f64 2 (.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 2 (.f64 x y))) 1) 1))
(.f64 2 (.f64 x y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (*.f64 x y)))) 3))
(.f64 2 (.f64 x y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 2 (*.f64 x y)) 3)) 1/3))
(.f64 2 (.f64 x y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (*.f64 x y)))) 2))
(.f64 2 (.f64 x y))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x y))))
(.f64 2 (.f64 x y))
(+.f64 (.f64 2 (.f64 x y)) (*.f64 2 (pow.f64 x 2)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (*.f64 x y)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 0 (.f64 (.f64 2 x) (+.f64 x y)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (.f64 (.f64 2 (pow.f64 x 2)) 1) (.f64 2 (.f64 x y)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 1)
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (pow.f64 (+.f64 x y) 1))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (.f64 (*.f64 2 x) (+.f64 x y)) 1)
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (.f64 (*.f64 2 x) (+.f64 x y)) (log.f64 (exp.f64 1)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 1 (.f64 (*.f64 2 x) (+.f64 x y)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) (pow.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))) 2))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 2) (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (sqrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 2) 3) (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 3))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (pow.f64 1 1/3) (.f64 (*.f64 2 x) (+.f64 x y)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (.f64 (*.f64 2 x) (+.f64 x y)) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 x y))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 2 (*.f64 x (+.f64 x y))) 3))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 8 (pow.f64 (.f64 x (+.f64 x y)) 3)))) (cbrt.f64 (sqrt.f64 (.f64 8 (pow.f64 (*.f64 x (+.f64 x y)) 3)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3/2)) (cbrt.f64 (pow.f64 (.f64 (*.f64 2 x) (+.f64 x y)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (.f64 2 x) (+.f64 x y)) (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (.f64 x (+.f64 x y))))) (cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (.f64 (+.f64 x y) (cbrt.f64 (.f64 2 (.f64 x (+.f64 x y)))))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (.f64 2 (+.f64 x y))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (*.f64 2 (+.f64 x y)))) 4) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y))) 8)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 x (+.f64 x y))) 5/2)) (cbrt.f64 (sqrt.f64 (.f64 2 (*.f64 x (+.f64 x y))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (.f64 2 (+.f64 x y))) 5/2)) (cbrt.f64 (sqrt.f64 (.f64 x (*.f64 2 (+.f64 x y))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 5/2)) (cbrt.f64 (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))))
(/.f64 (+.f64 (.f64 8 (pow.f64 x 6)) (pow.f64 (.f64 2 (.f64 x y)) 3)) (+.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) (.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (.f64 x y))))))
(/.f64 (fma.f64 8 (pow.f64 x 6) (.f64 8 (pow.f64 (.f64 x y) 3))) (+.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (-.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) (.f64 2 (.f64 (pow.f64 x 2) (.f64 2 (*.f64 x y)))))))
(/.f64 (.f64 8 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 6))) (+.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (fma.f64 (pow.f64 (.f64 x y) 2) 4 (.f64 -2 (.f64 (pow.f64 x 3) (*.f64 2 y))))))
(/.f64 8 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 x y) 2) 4) (.f64 (.f64 (pow.f64 x 2) 4) (.f64 x (-.f64 x y)))) (+.f64 (pow.f64 x 6) (pow.f64 (.f64 x y) 3))))
(/.f64 8 (/.f64 (fma.f64 4 (+.f64 (pow.f64 (.f64 x y) 2) (pow.f64 x 4)) (.f64 2 (.f64 (pow.f64 x 3) (.f64 y -2)))) (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x y) 3))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (.f64 (pow.f64 (.f64 x y) 2) 4)) (-.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 (.f64 x y))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (.f64 (pow.f64 (.f64 x y) 2) 4)) (.f64 2 (-.f64 (pow.f64 x 2) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (pow.f64 x 2)) 2) (.f64 (pow.f64 (.f64 x y) 2) -4)) (.f64 2 (*.f64 x (-.f64 x y))))
(/.f64 (.f64 4 (-.f64 (pow.f64 x 4) (pow.f64 (.f64 x y) 2))) (.f64 2 (.f64 x (-.f64 x y))))
(pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 1)
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(pow.f64 (cbrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 3)
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 2) 1/2)
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(pow.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3) 1/3)
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(pow.f64 (sqrt.f64 (.f64 (.f64 2 x) (+.f64 x y))) 2)
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(sqrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 2))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (+.f64 x y)))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 2 x) (+.f64 x y)))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 2) x) y) (exp.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y)))) (exp.f64 (.f64 2 (pow.f64 x 2)))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(log.f64 (.f64 (exp.f64 (.f64 2 (pow.f64 x 2))) (+.f64 1 (expm1.f64 (.f64 2 (.f64 x y))))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(cbrt.f64 (pow.f64 (.f64 (.f64 2 x) (+.f64 x y)) 3))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(expm1.f64 (log1p.f64 (.f64 (.f64 2 x) (+.f64 x y))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(exp.f64 (log.f64 (.f64 (.f64 2 x) (+.f64 x y))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 2 x) (+.f64 x y))) 1))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 2 x) (+.f64 x y))) 1) 1))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 3))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 2 x) (+.f64 x y)))) 1/3))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 2 x) (+.f64 x y)))) 2))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))
(log1p.f64 (expm1.f64 (.f64 (.f64 2 x) (+.f64 x y))))
(.f64 2 (+.f64 (pow.f64 x 2) (.f64 x y)))
(.f64 x (.f64 2 (+.f64 x y)))
(.f64 (.f64 2 x) (+.f64 x y))

eval57.0ms (1.5%)

Compiler: Compiled 1300 to 830 computations (36.2% saved)

prune199.0ms (5.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	89	4	93

Accuracy

100.0%

Counts

93 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
✓	50.5%	(.f64 y (.f64 2 x))
✓	50.4%	(.f64 2 (.f64 x y))

Compiler

Compiled 73 to 46 computations (37% saved)

regimes212.0ms (5.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

42.0ms	x
4.0ms	y
4.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(+.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 64 to 38 computations (40.6% saved)

regimes7.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
50.5%	1	`x`
50.5%	1	`y`

Compiler

Compiled 18 to 12 computations (33.3% saved)

regimes47.0ms (1.2%)

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:

44.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
50.4%	1	`x`
50.4%	1	`y`

Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	20	66

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

soundness337.0ms (8.7%)

Rules

2644×	`fma-def`
1452×	`fma-def`
1230×	`log-prod`
696×	`associate-*r/`
574×	`unswap-sqr`

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
0	103	1751
1	249	1716
2	595	1671
3	2219	1663
4	7034	1663

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 73 to 41 computations (43.8% saved)

end0.0ms (0%)

preprocess83.0ms (2.1%)

Compiler: Compiled 78 to 50 computations (35.9% saved)

analyze0.0ms (0%)

sample1.4s (36.7%)

preprocess511.0ms (13.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize56.0ms (1.4%)

series3.0ms (0.1%)

rewrite295.0ms (7.6%)

simplify85.0ms (2.2%)

eval33.0ms (0.9%)

prune155.0ms (4%)

localize102.0ms (2.6%)

series7.0ms (0.2%)

rewrite177.0ms (4.5%)

simplify96.0ms (2.5%)

eval57.0ms (1.5%)

prune199.0ms (5.1%)

regimes212.0ms (5.4%)

regimes7.0ms (0.2%)

regimes47.0ms (1.2%)

simplify3.0ms (0.1%)

soundness337.0ms (8.7%)

end0.0ms (0%)

preprocess83.0ms (2.1%)

Profiling