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

sample1.1s (43.9%)

Results

758.0ms	5907×	256	valid
228.0ms	2348×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

Operation ival-mult, time spent: 192.0ms, 74.0% of total-time

Operation ival-add, time spent: 53.0ms, 20.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

Bogosity

preprocess228.0ms (9.5%)

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
16	-	-	`(+.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: 15.0ms

Operation ival-mult, time spent: 11.0ms, 75.0% of total-time

Operation ival-add, time spent: 3.0ms, 20.0% of total-time

Operation const, time spent: 1.0ms, 7.0% 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))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize34.0ms (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. Total time spent on operations: 8.0ms

Operation ival-mult, time spent: 5.0ms, 60.0% of total-time

Operation ival-add, time spent: 3.0ms, 36.0% of total-time

Operation const, time spent: 1.0ms, 12.0% of total-time

series5.0ms (0.2%)

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))
1.0ms	y	@	inf	(.f64 (+.f64 x y) (.f64 2 x))
0.0ms	x	@	-inf	(.f64 (+.f64 x y) (.f64 2 x))

rewrite185.0ms (7.7%)

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))

simplify88.0ms (3.7%)

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)))

eval12.0ms (0.5%)

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

prune7.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Accuracy

100.0%

Counts

48 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
▶	62.0%	(.f64 y (.f64 2 x))

Compiler

Compiled 28 to 19 computations (32.1% saved)

localize57.0ms (2.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	95.7%	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))

Compiler

Compiled 35 to 21 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

Operation ival-mult, time spent: 16.0ms, 81.0% of total-time

Operation ival-fma, time spent: 3.0ms, 15.0% of total-time

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`unpow-prod-down`
582×	`log-prod`
526×	`prod-diff`
469×	`log1p-expm1-u`
469×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	110	28
2	1275	28

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

simplify204.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

1126×	`fma-def`
686×	`log-prod`
670×	`fma-neg`
518×	`unswap-sqr`
494×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	2500
1	338	2109
2	1231	2073
3	5084	2068

Stop Event

1×	node limit

Counts

63 → 66

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

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

eval20.0ms (0.8%)

Compiler: Compiled 1103 to 693 computations (37.2% saved)

prune12.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	66	3	69

Accuracy

100.0%

Counts

69 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(fma.f64 (.f64 x 2) x (.f64 (*.f64 x 2) y))
✓	100.0%	(.f64 (+.f64 x y) (.f64 2 x))
✓	62.0%	(.f64 y (.f64 2 x))

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes19.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

Inputs
(.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:

9.0ms	y
4.0ms	x
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 y (.f64 2 x))

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

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
62.0%	1	`x`
62.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify44.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	16	47

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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))

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness292.0ms (12.1%)

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%)

preprocess60.0ms (2.5%)

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

analyze0.0ms (0%)

sample1.1s (43.9%)

preprocess228.0ms (9.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (1.4%)

series5.0ms (0.2%)

rewrite185.0ms (7.7%)

simplify88.0ms (3.7%)

eval12.0ms (0.5%)

prune7.0ms (0.3%)

localize57.0ms (2.4%)

series4.0ms (0.2%)

rewrite75.0ms (3.1%)

simplify204.0ms (8.4%)

eval20.0ms (0.8%)

prune12.0ms (0.5%)

regimes19.0ms (0.8%)

regimes5.0ms (0.2%)

simplify44.0ms (1.8%)

soundness292.0ms (12.1%)

end0.0ms (0%)

preprocess60.0ms (2.5%)

Profiling