Details

analyze981.0ms (0.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	199.9%	-99.9%	0%	0%	0%	1
0%	0%	399.8%	-299.8%	0%	0%	0%	2
0%	0%	799.6%	-699.6%	0%	0%	0%	3
0%	0%	1599.2%	-1499.2%	0%	0%	0%	4
0%	0%	3198.4%	-3098.4%	0%	0%	0%	5
0%	0%	6396.9%	-6296.9%	0%	0%	0%	6
0%	0%	12793.8%	-12693.8%	0%	0%	0%	7
0%	0%	25587.5%	-25487.5%	0%	0%	0%	8
0%	0%	51175%	-51075%	0%	0%	0%	9
0%	0%	102350%	-102250%	0%	0%	0%	10
0%	0%	204700%	-204600%	0%	0%	0%	11
0%	0%	409400%	-409300%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.6s (1%)

Results

1.6s	8252×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess13.0ms (0%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative`
2×	`associate-r`
2×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	11	17
2	14	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify34.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`associate-r`
2×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	11	17
2	14	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))

Outputs
(sqrt.f64 (.f64 2 (.f64 x x)))

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

53.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize71.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x x))
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite64.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`pow1`
1244×	`add-exp-log`
1244×	`log1p-expm1-u`
1244×	`expm1-log1p-u`
1214×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	160	24
2	1810	24

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(sqrt.f64 (.f64 2 (.f64 x x)))
(.f64 2 (.f64 x x))

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

simplify68.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1200×	`log-prod`
1148×	`fma-def`
1056×	`distribute-rgt-in`
1030×	`distribute-lft-in`
700×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	816
1	193	816
2	739	816
3	2412	688
4	7441	688

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(neg.f64 (hypot.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(*.f64 2 (pow.f64 x 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 2))) 1)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 (.f64 x (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 1 (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 2))) (cbrt.f64 (.f64 2 (.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 (cbrt.f64 (.f64 2 (.f64 x x))) (cbrt.f64 (.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 2))) (sqrt.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(.f64 (pow.f64 1 1/2) (.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (.f64 2 (.f64 x x)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x x)))))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 2 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(pow.f64 (.f64 2 (.f64 x x)) 1/2)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (*.f64 x (sqrt.f64 2)) 1)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 2))) 3)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 2))) 2)
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(fabs.f64 (*.f64 x (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 2)) 3))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(-.f64 (+.f64 1 (.f64 2 (.f64 x x))) 1)
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (.f64 2 (.f64 x x)) 1)
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (cbrt.f64 (.f64 2 (.f64 x x))) 3)
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(pow.f64 (pow.f64 (.f64 2 (.f64 x x)) 3) 1/3)
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(cbrt.f64 (pow.f64 (.f64 2 (.f64 x x)) 3))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x x))))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(exp.f64 (log.f64 (.f64 2 (.f64 x x))))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))
(log1p.f64 (expm1.f64 (.f64 2 (.f64 x x))))
(.f64 2 (.f64 x x))
(*.f64 x (+.f64 x x))

eval13.0ms (0%)

Compiler: Compiled 375 to 272 computations (27.5% saved)

prune8.0ms (0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Accurracy

100.0%

Counts

49 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	47.4%	(*.f64 (sqrt.f64 2) x)
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	52.0%	(sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 x x)))))
▶	100.0%	(hypot.f64 x x)
▶	47.4%	(*.f64 (sqrt.f64 2) x)
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))
▶	52.0%	(sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 x x)))))

Compiler

Compiled 50 to 36 computations (28% saved)

localize165.0ms (0.1%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(*.f64 (sqrt.f64 2) x)
	100.0%	(.f64 2 (.f64 x x))
✓	98.0%	(expm1.f64 (log1p.f64 (.f64 2 (.f64 x x))))
✓	75.8%	(log1p.f64 (.f64 2 (.f64 x x)))
✓	53.6%	(sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 x x)))))

Compiler

Compiled 45 to 25 computations (44.4% saved)

series4.0ms (0%)

Counts

5 → 48

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (.f64 2 (.f64 x x)))
1.0ms	x	@	-inf	(hypot.f64 x x)
1.0ms	x	@	inf	(hypot.f64 x x)
0.0ms	x	@	inf	(log1p.f64 (.f64 2 (.f64 x x)))
0.0ms	x	@	0	(hypot.f64 x x)

rewrite82.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`pow1`
1582×	`log1p-expm1-u`
1580×	`add-exp-log`
1580×	`expm1-log1p-u`
1544×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	241	51
2	2731	51

Stop Event

1×	node limit

Counts

5 → 146

Calls

Call 1

Inputs
(sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 x x)))))
(log1p.f64 (.f64 2 (.f64 x x)))
(expm1.f64 (log1p.f64 (.f64 2 (.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)

Outputs
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 1 (hypot.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x (+.f64 x x)))) 1)
(.f64 (log1p.f64 (.f64 x (+.f64 x x))) 1)
(.f64 1 (log1p.f64 (.f64 x (+.f64 x x))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 2))
(log.f64 (+.f64 (*.f64 x (+.f64 x x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) -1)
(-.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 1)
(.f64 2 (.f64 x x))
(.f64 x (.f64 2 x))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 (sqrt.f64 2) (hypot.f64 x x)))
(.f64 (.f64 x x) 2)
(.f64 (.f64 x (+.f64 x x)) 1)
(*.f64 (hypot.f64 x x) (hypot.f64 x x))
(.f64 (sqrt.f64 2) (.f64 x (hypot.f64 x x)))
(.f64 1 (.f64 x (+.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 4)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (hypot.f64 x x)) (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 2))
(.f64 (sqrt.f64 (hypot.f64 x x)) (.f64 (sqrt.f64 (hypot.f64 x x)) (hypot.f64 x x)))
(.f64 (.f64 2 x) x)
(.f64 (.f64 (hypot.f64 x x) (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (hypot.f64 x x) x) (sqrt.f64 2))
(.f64 (.f64 (hypot.f64 x x) (sqrt.f64 2)) x)
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (hypot.f64 x x) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (*.f64 2 x) 1) x)
(.f64 (.f64 (.f64 2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 4) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 4)) (-.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) 1) (+.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))
(pow.f64 (*.f64 x (+.f64 x x)) 1)
(pow.f64 (hypot.f64 x x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x x)) 3))
(exp.f64 (log.f64 (*.f64 x (+.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x x))))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x x))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 1 (hypot.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

simplify68.0ms (0%)

Algorithm

1×	egg-herbie

Rules

302×	`associate-l`
298×	`associate-r`
284×	`fma-def`
138×	`*-commutative`
122×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	245	2442
1	588	2442
2	2718	2442

Stop Event

1×

unsound

Counts

194 → 112

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 8/3 (pow.f64 x 6))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 8)) (.f64 8/3 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 -2 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 6))) (.f64 -2 (log.f64 (/.f64 1 x)))))) (.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/24 (/.f64 1 (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 1 (hypot.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x (+.f64 x x)))) 1)
(.f64 (log1p.f64 (.f64 x (+.f64 x x))) 1)
(.f64 1 (log1p.f64 (.f64 x (+.f64 x x))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 2))
(log.f64 (+.f64 (*.f64 x (+.f64 x x)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) -1)
(-.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 1)
(.f64 2 (.f64 x x))
(.f64 x (.f64 2 x))
(*.f64 x (+.f64 x x))
(.f64 x (.f64 (sqrt.f64 2) (hypot.f64 x x)))
(.f64 (.f64 x x) 2)
(.f64 (.f64 x (+.f64 x x)) 1)
(*.f64 (hypot.f64 x x) (hypot.f64 x x))
(.f64 (sqrt.f64 2) (.f64 x (hypot.f64 x x)))
(.f64 1 (.f64 x (+.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 4)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (hypot.f64 x x)) (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 2))
(.f64 (sqrt.f64 (hypot.f64 x x)) (.f64 (sqrt.f64 (hypot.f64 x x)) (hypot.f64 x x)))
(.f64 (.f64 2 x) x)
(.f64 (.f64 (hypot.f64 x x) (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (hypot.f64 x x) x) (sqrt.f64 2))
(.f64 (.f64 (hypot.f64 x x) (sqrt.f64 2)) x)
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (hypot.f64 x x) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (*.f64 2 x) 1) x)
(.f64 (.f64 (.f64 2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 4) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 4)) (-.f64 (.f64 x x) (.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) 1) (+.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))
(pow.f64 (*.f64 x (+.f64 x x)) 1)
(pow.f64 (hypot.f64 x x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 3)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x x)) 3))
(exp.f64 (log.f64 (*.f64 x (+.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x x))))
(fma.f64 x x (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x x))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 x (sqrt.f64 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 1 (hypot.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) x))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2))
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(fabs.f64 (hypot.f64 x x))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 -2 (pow.f64 x 4)))
(fma.f64 2 (.f64 x x) (.f64 -2 (pow.f64 x 4)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (*.f64 8/3 (pow.f64 x 6))))
(fma.f64 2 (.f64 x x) (fma.f64 -2 (pow.f64 x 4) (.f64 8/3 (pow.f64 x 6))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 -2 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 8)) (.f64 8/3 (pow.f64 x 6)))))
(fma.f64 2 (.f64 x x) (fma.f64 -2 (pow.f64 x 4) (.f64 8/3 (pow.f64 x 6))))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(fma.f64 2 (.f64 x x) (.f64 -2 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 -2 (log.f64 (/.f64 1 x)))))
(fma.f64 2 (.f64 x x) (.f64 -2 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 -2 (log.f64 (/.f64 1 x))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(fma.f64 2 (.f64 x x) (.f64 -2 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 x 6))) (.f64 -2 (log.f64 (/.f64 1 x)))))) (.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 (.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1/24 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))
(+.f64 (log.f64 2) (*.f64 -2 (log.f64 (/.f64 -1 x))))
(fma.f64 2 (.f64 x x) (.f64 -2 (pow.f64 x 4)))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 2 (.f64 x x) (.f64 -2 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(fma.f64 2 (.f64 x x) (.f64 -2 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/24 (/.f64 1 (pow.f64 x 6)))))) (.f64 1/8 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 (.f64 -2 (neg.f64 (log.f64 x))) (/.f64 1/24 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 2 (pow.f64 x 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 1 (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(*.f64 (sqrt.f64 2) x)
(fabs.f64 (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 1 (log1p.f64 (*.f64 x (+.f64 x x)))) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 (log1p.f64 (.f64 x (+.f64 x x))) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 1 (log1p.f64 (.f64 x (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) 2) (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (log1p.f64 (.f64 x (+.f64 x x)))) (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(*.f64 (sqrt.f64 2) x)
(pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (log1p.f64 (*.f64 x (+.f64 x x)))) 2)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 2))
(*.f64 (sqrt.f64 2) x)
(log.f64 (+.f64 (*.f64 x (+.f64 x x)) 1))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x x))) 3))
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (log1p.f64 (*.f64 x (+.f64 x x)))))
(*.f64 (sqrt.f64 2) x)
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 (sqrt.f64 2) x)
(+.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) -1)
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 1)
(*.f64 (sqrt.f64 2) x)
(.f64 2 (.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 2 x))
(*.f64 (sqrt.f64 2) x)
(*.f64 x (+.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 x (.f64 (sqrt.f64 2) (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x x) 2)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (+.f64 x x)) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 (hypot.f64 x x) (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 2) (.f64 x (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 1 (.f64 x (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 4)))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (hypot.f64 x x)) (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (hypot.f64 x x)) (.f64 (sqrt.f64 (hypot.f64 x x)) (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 2 x) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (hypot.f64 x x) (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (hypot.f64 x x) x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (hypot.f64 x x) (sqrt.f64 2)) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (hypot.f64 x x) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (*.f64 2 x) 1) x)
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (.f64 2 x) (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (*.f64 2 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 4) (pow.f64 x 4))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 4)) (-.f64 (.f64 x x) (.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))))
(*.f64 (sqrt.f64 2) x)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) 1) (+.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 x (+.f64 x x)) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (hypot.f64 x x) 2)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (pow.f64 x 4) 4) 1/2)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x x)) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 (pow.f64 x 4) 4))
(*.f64 (sqrt.f64 2) x)
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x x)) 3))
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 x (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x x))))
(*.f64 (sqrt.f64 2) x)
(fma.f64 x x (*.f64 x x))
(*.f64 (sqrt.f64 2) x)
(fma.f64 1 (.f64 x x) (.f64 x x))
(*.f64 (sqrt.f64 2) x)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)) (.f64 x x))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(fabs.f64 (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 x (sqrt.f64 2))
(*.f64 (sqrt.f64 2) x)
(*.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 1 (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (sqrt.f64 2) x)
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) x))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(*.f64 (pow.f64 1 1/2) (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/2))
(*.f64 (sqrt.f64 2) x)
(.f64 (pow.f64 (.f64 2 x) 1/2) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 x (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (hypot.f64 x x) 1)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(fabs.f64 (hypot.f64 x x))
(*.f64 (sqrt.f64 2) x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (.f64 (pow.f64 x 3) (.f64 2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (.f64 (.f64 2 (sqrt.f64 2)) (pow.f64 x 3)))
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(*.f64 (sqrt.f64 2) x)

eval35.0ms (0%)

Compiler: Compiled 1419 to 840 computations (40.8% saved)

prune21.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	127	4	131

Accurracy

100.0%

Counts

131 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	47.4%	(*.f64 (sqrt.f64 2) x)
▶	12.1%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))
✓	100.0%	(hypot.f64 x x)
✓	47.4%	(*.f64 (sqrt.f64 2) x)
▶	12.1%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))

Compiler

Compiled 114 to 68 computations (40.4% saved)

localize333.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 3)
✓	74.4%	(-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 3) 1)
✓	67.4%	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))))
✓	53.6%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))

Compiler

Compiled 181 to 84 computations (53.6% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
1.0ms	x	@	inf	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
0.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 3) 1)
0.0ms	x	@	-inf	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
0.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 3) 1)

rewrite89.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`log1p-expm1-u`
1562×	`expm1-log1p-u`
388×	`add-sqr-sqrt`
376×	`pow1`
374×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	270
1	412	34
2	6784	34

Stop Event

1×	node limit

Counts

4 → 463

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1))))
(-.f64 (pow.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 3) 1)
(pow.f64 (+.f64 (*.f64 x (+.f64 x x)) 1) 3)

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

simplify50.0ms (0%)

Algorithm

1×	egg-herbie

Rules

92×	`*-commutative`
76×	`+-commutative`
74×	`fma-udef`
52×	`associate-+l+`
42×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	374	1533
1	1124	1533

Stop Event

1×

unsound

Counts

511 → 251

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 6 (pow.f64 x 2))
(+.f64 (.f64 6 (pow.f64 x 2)) (.f64 12 (pow.f64 x 4)))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(*.f64 8 (pow.f64 x 6))
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(*.f64 8 (pow.f64 x 6))
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
1
(+.f64 (*.f64 6 (pow.f64 x 2)) 1)
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (.f64 12 (pow.f64 x 4))))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 8 (pow.f64 x 6)) (*.f64 12 (pow.f64 x 4)))))
(*.f64 8 (pow.f64 x 6))
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6)))))
(*.f64 8 (pow.f64 x 6))
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6)))))
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (+.f64 x x) 2)
(+.f64 (+.f64 x x) (neg.f64 (+.f64 x x)))
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 (+.f64 x x) 1) (+.f64 x x)))
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1 (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 x x) (fma.f64 -1 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 x x) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) -1))
(+.f64 1 (+.f64 (+.f64 x x) 1))
(+.f64 (+.f64 (+.f64 x x) 1) 1)
(+.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
(+.f64 (+.f64 (+.f64 x x) 1) -1)
(+.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 (+.f64 x x) 1) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 2 (+.f64 x x))
(+.f64 -1 (+.f64 (+.f64 x x) 1))
(+.f64 (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)) (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)) (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
(-.f64 (+.f64 x x) (+.f64 x x))
(-.f64 (+.f64 (+.f64 x x) 1) 1)
(-.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
(-.f64 (/.f64 1 (neg.f64 (+.f64 x x))) (/.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))))
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
(*.f64 x (+.f64 x x))
(*.f64 x 2)
(*.f64 (+.f64 x x) x)
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 (+.f64 x x) 1)
(*.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
(*.f64 (+.f64 x x) (cbrt.f64 x))
(.f64 (+.f64 x x) (.f64 x x))
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
(.f64 (+.f64 x x) (.f64 x (+.f64 (+.f64 x x) 1)))
(*.f64 1 (+.f64 x x))
(*.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x))
(*.f64 0 (/.f64 1 0))
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(.f64 (.f64 x x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 2 x)
(*.f64 2 (+.f64 x x))
(.f64 2 (.f64 x x))
(*.f64 (pow.f64 x 3) (+.f64 x x))
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (neg.f64 (+.f64 x x))))
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (neg.f64 (+.f64 (+.f64 x x) 1))))
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(.f64 4 (.f64 x x))
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
(*.f64 (/.f64 (+.f64 (+.f64 x x) 1) 1) (+.f64 x x))
(*.f64 (/.f64 (+.f64 x x) 1) (+.f64 x x))
(.f64 (.f64 (+.f64 (+.f64 x x) 1) x) (+.f64 x x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (+.f64 x x) 2) x)
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
(/.f64 (+.f64 x x) (+.f64 (+.f64 (+.f64 x x) 1) (-.f64 1 (*.f64 (+.f64 (+.f64 x x) 1) -1))))
(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
(/.f64 1 (+.f64 x x))
(/.f64 1 (/.f64 (+.f64 x x) 1))
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
(/.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x))
(/.f64 0 0)
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
(/.f64 -1 (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (+.f64 x x) 1)))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 (+.f64 x x) 1)))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (+.f64 x x) (neg.f64 (+.f64 (+.f64 x x) 1))))
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))))
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 x x))) (cbrt.f64 (neg.f64 (+.f64 (+.f64 x x) 1))))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 x x))) (cbrt.f64 (neg.f64 (+.f64 x x))))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1))))
(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 x x))) (sqrt.f64 (neg.f64 (+.f64 (+.f64 x x) 1))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 x x))) (sqrt.f64 (neg.f64 (+.f64 x x))))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 x x)))
(/.f64 (pow.f64 (neg.f64 (+.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x x)) 3))
(/.f64 (*.f64 (neg.f64 (+.f64 x x)) 1) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 (neg.f64 (+.f64 x x)) 1) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 x x)))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 (+.f64 x x) 1))))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
(/.f64 (/.f64 (+.f64 (+.f64 x x) 1) 1) (+.f64 x x))
(/.f64 (/.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
(/.f64 (*.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))) (neg.f64 (+.f64 x x)))
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
(/.f64 (*.f64 0 x) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (+.f64 x x)) 0)
(pow.f64 (+.f64 x x) 1)
(pow.f64 (+.f64 x x) 3)
(pow.f64 (+.f64 x x) 1/2)
(pow.f64 (+.f64 x x) 2)
(pow.f64 (+.f64 x x) -1)
(pow.f64 (+.f64 x x) 3/2)
(pow.f64 (+.f64 x x) 1/4)
(pow.f64 (+.f64 x x) 1/3)
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (+.f64 x x) 1))))
(fabs.f64 (+.f64 x x))
(log.f64 (pow.f64 (exp.f64 2) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
(cbrt.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (+.f64 x x)))
(hypot.f64 x x)
(hypot.f64 1 (+.f64 (+.f64 x x) 1))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))
(exp.f64 (+.f64 (log1p.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(log1p.f64 (expm1.f64 (+.f64 x x)))
(fma.f64 x x (*.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))
(fma.f64 1 x x)
(fma.f64 1 (+.f64 (+.f64 x x) 1) 1)
(fma.f64 1 (+.f64 (+.f64 x x) 1) -1)
(fma.f64 1 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
(fma.f64 (+.f64 (+.f64 x x) 1) 1 1)
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) 1)
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) -1)
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(+.f64 x x)
(+.f64 (+.f64 x x) (+.f64 x x))
(+.f64 (+.f64 x x) 2)
(+.f64 (+.f64 x x) (neg.f64 (+.f64 x x)))
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 (+.f64 x x) 1) (+.f64 x x)))
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1 (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 x x) (fma.f64 -1 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 x x) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 x x)))
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) -1))
(+.f64 1 (+.f64 (+.f64 x x) 1))
(+.f64 (+.f64 (+.f64 x x) 1) 1)
(+.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
(+.f64 (+.f64 (+.f64 x x) 1) -1)
(+.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
(+.f64 (+.f64 (+.f64 x x) 1) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 2 (+.f64 x x))
(+.f64 -1 (+.f64 (+.f64 x x) 1))
(+.f64 (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)) (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)) (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)))
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
(-.f64 (+.f64 x x) (+.f64 x x))
(-.f64 (+.f64 (+.f64 x x) 1) 1)
(-.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
(-.f64 (/.f64 1 (neg.f64 (+.f64 x x))) (/.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))))
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(fma.f64 1 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x)))
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x) (+.f64 (+.f64 x x) 1))
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) (+.f64 x x))
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x)))

Outputs
(*.f64 (sqrt.f64 2) x)
-2
(*.f64 (sqrt.f64 2) x)
-2
(*.f64 (sqrt.f64 2) x)
-2
(*.f64 (sqrt.f64 2) x)
-2
(*.f64 (sqrt.f64 2) x)
-2
(*.f64 (sqrt.f64 2) x)
-2
(*.f64 (sqrt.f64 2) x)
-2
(*.f64 (sqrt.f64 2) x)
-2
(.f64 -1 (.f64 (sqrt.f64 2) x))
-2
(.f64 -1 (.f64 (sqrt.f64 2) x))
-2
(.f64 -1 (.f64 (sqrt.f64 2) x))
-2
(.f64 -1 (.f64 (sqrt.f64 2) x))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 2 (pow.f64 x 2))
-2
(*.f64 6 (pow.f64 x 2))
6
(+.f64 (.f64 6 (pow.f64 x 2)) (.f64 12 (pow.f64 x 4)))
18
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
(*.f64 8 (pow.f64 x 6))
8
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
20
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
(*.f64 8 (pow.f64 x 6))
8
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
20
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
1
-2
(+.f64 (*.f64 6 (pow.f64 x 2)) 1)
7
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (.f64 12 (pow.f64 x 4))))
19
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 8 (pow.f64 x 6)) (*.f64 12 (pow.f64 x 4)))))
27
(*.f64 8 (pow.f64 x 6))
8
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
20
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6)))))
27
(*.f64 8 (pow.f64 x 6))
8
(+.f64 (.f64 12 (pow.f64 x 4)) (.f64 8 (pow.f64 x 6)))
20
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6))))
26
(+.f64 (.f64 6 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 12 (pow.f64 x 4)) (*.f64 8 (pow.f64 x 6)))))
27
(+.f64 x x)
-2
(+.f64 (+.f64 x x) (+.f64 x x))
-2
(+.f64 (+.f64 x x) 2)
-2
(+.f64 (+.f64 x x) (neg.f64 (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 (+.f64 x x) 1) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1 (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 x x) (fma.f64 -1 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 x x) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) -1))
-2
(+.f64 1 (+.f64 (+.f64 x x) 1))
-2
(+.f64 (+.f64 (+.f64 x x) 1) 1)
-2
(+.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
-2
(+.f64 (+.f64 (+.f64 x x) 1) -1)
-2
(+.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 (+.f64 x x) 1) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1))
-2
(+.f64 (.f64 x x) (.f64 x x))
-2
(+.f64 2 (+.f64 x x))
-2
(+.f64 -1 (+.f64 (+.f64 x x) 1))
-2
(+.f64 (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)) (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)))
-2
(+.f64 (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)) (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
-2
(-.f64 (+.f64 x x) (+.f64 x x))
-2
(-.f64 (+.f64 (+.f64 x x) 1) 1)
-2
(-.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
-2
(-.f64 (/.f64 1 (neg.f64 (+.f64 x x))) (/.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))))
-2
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
-2
(*.f64 x (+.f64 x x))
-2
(*.f64 x 2)
-2
(*.f64 (+.f64 x x) x)
-2
(*.f64 (+.f64 x x) (+.f64 x x))
-2
(*.f64 (+.f64 x x) 1)
-2
(*.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
-2
(*.f64 (+.f64 x x) (cbrt.f64 x))
(*.f64 -2 (cbrt.f64 x))
(.f64 (+.f64 x x) (.f64 x x))
-2
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 -2 (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
-2
(.f64 (+.f64 x x) (.f64 x (+.f64 (+.f64 x x) 1)))
-2
(*.f64 1 (+.f64 x x))
-2
(*.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x))
-2
(*.f64 0 (/.f64 1 0))
-2
(*.f64 (cbrt.f64 x) (+.f64 x x))
(*.f64 -2 (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))
(*.f64 -2 (pow.f64 (cbrt.f64 x) -2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 x)))
(.f64 (.f64 x x) (+.f64 x x))
-2
(*.f64 (sqrt.f64 x) (+.f64 x x))
(*.f64 -2 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 -2 (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 2 x)
-2
(*.f64 2 (+.f64 x x))
-2
(.f64 2 (.f64 x x))
-2
(*.f64 (pow.f64 x 3) (+.f64 x x))
-2
(.f64 (.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))
-2
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (neg.f64 (+.f64 x x))))
-2
(*.f64 (neg.f64 (+.f64 x x)) (/.f64 1 (neg.f64 (+.f64 (+.f64 x x) 1))))
-2
(*.f64 (cbrt.f64 2) (cbrt.f64 x))
(*.f64 -2 (cbrt.f64 x))
(.f64 4 (.f64 x x))
-2
(*.f64 (sqrt.f64 2) (sqrt.f64 x))
(*.f64 -2 (sqrt.f64 x))
(*.f64 (pow.f64 1 1/2) (+.f64 x x))
-2
(*.f64 (/.f64 (+.f64 (+.f64 x x) 1) 1) (+.f64 x x))
-2
(*.f64 (/.f64 (+.f64 x x) 1) (+.f64 x x))
-2
(.f64 (.f64 (+.f64 (+.f64 x x) 1) x) (+.f64 x x))
-2
(.f64 (.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 x)))
(.f64 (.f64 2 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 -2 (.f64 (sqrt.f64 x) (sqrt.f64 x)))
(.f64 (.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 -2 (cbrt.f64 x)))
(.f64 (.f64 (+.f64 x x) 2) x)
-2
(/.f64 (+.f64 x x) (+.f64 x x))
-2
(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
-2
(/.f64 (+.f64 x x) (+.f64 (+.f64 (+.f64 x x) 1) (-.f64 1 (*.f64 (+.f64 (+.f64 x x) 1) -1))))
-2
(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
-2
(/.f64 1 (+.f64 x x))
-2
(/.f64 1 (/.f64 (+.f64 x x) 1))
-2
(/.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))
-2
(/.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x))
-2
(/.f64 0 0)
-2
(/.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))
-2
(/.f64 -1 (neg.f64 (+.f64 x x)))
-2
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x)))
-2
(/.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 (+.f64 x x) 1)))
-2
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (neg.f64 (+.f64 x x)) (+.f64 (+.f64 x x) 1)))
-2
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (+.f64 x x) (neg.f64 (+.f64 (+.f64 x x) 1))))
-2
(/.f64 (neg.f64 (+.f64 x x)) (*.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))))
-2
(/.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))
-2
(/.f64 (cbrt.f64 (neg.f64 (+.f64 x x))) (cbrt.f64 (neg.f64 (+.f64 (+.f64 x x) 1))))
-2
(/.f64 (cbrt.f64 (neg.f64 (+.f64 x x))) (cbrt.f64 (neg.f64 (+.f64 x x))))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 3))) (.f64 (fma.f64 x x 0) (fma.f64 x x 0)))
-2
(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1))))
-2
(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))))
-2
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))
-2
(/.f64 (sqrt.f64 0) (sqrt.f64 0))
-2
(/.f64 (sqrt.f64 (neg.f64 (+.f64 x x))) (sqrt.f64 (neg.f64 (+.f64 (+.f64 x x) 1))))
-2
(/.f64 (sqrt.f64 (neg.f64 (+.f64 x x))) (sqrt.f64 (neg.f64 (+.f64 x x))))
-2
(/.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 x x)))
-2
(/.f64 (pow.f64 (neg.f64 (+.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x x)) 3))
-2
(/.f64 (*.f64 (neg.f64 (+.f64 x x)) 1) (neg.f64 (+.f64 x x)))
-2
(/.f64 (.f64 (neg.f64 (+.f64 x x)) 1) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 x x)))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))
-2
(/.f64 (.f64 0 (.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))
-2
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 x x))))
-2
(/.f64 (neg.f64 (neg.f64 (+.f64 x x))) (neg.f64 (neg.f64 (+.f64 (+.f64 x x) 1))))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))
-2
(/.f64 (/.f64 (+.f64 (+.f64 x x) 1) 1) (+.f64 x x))
-2
(/.f64 (/.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
-2
(/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))))
-2
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 0)
-2
(/.f64 (*.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))) (neg.f64 (+.f64 x x)))
-2
(/.f64 (.f64 x (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-2
(/.f64 (.f64 (+.f64 x x) (.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))
-2
(/.f64 (*.f64 0 x) 0)
-2
(/.f64 (.f64 (.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))
-2
(/.f64 (*.f64 0 (+.f64 x x)) 0)
-2
(pow.f64 (+.f64 x x) 1)
-2
(pow.f64 (+.f64 x x) 3)
-2
(pow.f64 (+.f64 x x) 1/2)
-2
(pow.f64 (+.f64 x x) 2)
-2
(pow.f64 (+.f64 x x) -1)
-2
(pow.f64 (+.f64 x x) 3/2)
-2
(pow.f64 (+.f64 x x) 1/4)
-2
(pow.f64 (+.f64 x x) 1/3)
-2
(neg.f64 (/.f64 (+.f64 x x) (neg.f64 (+.f64 (+.f64 x x) 1))))
-2
(fabs.f64 (+.f64 x x))
-2
(log.f64 (pow.f64 (exp.f64 2) x))
-2
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x x))))
-2
(cbrt.f64 (+.f64 x x))
-2
(expm1.f64 (log1p.f64 (+.f64 x x)))
-2
(hypot.f64 x x)
(hypot.f64 1 (+.f64 (+.f64 x x) 1))
(hypot.f64 -2 -2)
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (log.f64 (+.f64 x x)))
-2
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1))
-2
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 1/2))
-2
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) 3))
-2
(exp.f64 (+.f64 (log1p.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(*.f64 (exp.f64 (log1p.f64 -2)) -2)
(exp.f64 (-.f64 (log1p.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(*.f64 (exp.f64 (log1p.f64 -2)) -2)
(log1p.f64 (expm1.f64 (+.f64 x x)))
-2
(fma.f64 x x (*.f64 x x))
-2
(fma.f64 (+.f64 x x) (+.f64 x x) (neg.f64 (+.f64 x x)))
-2
(fma.f64 1 x x)
(+.f64 -2 x)
(fma.f64 1 (+.f64 (+.f64 x x) 1) 1)
-2
(fma.f64 1 (+.f64 (+.f64 x x) 1) -1)
-2
(fma.f64 1 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
-2
(fma.f64 (+.f64 (+.f64 x x) 1) 1 1)
-2
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) 1)
-2
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) -1)
-2
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
-2
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (cbrt.f64 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(+.f64 x x)
-2
(+.f64 (+.f64 x x) (+.f64 x x))
-2
(+.f64 (+.f64 x x) 2)
-2
(+.f64 (+.f64 x x) (neg.f64 (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 x x)) (+.f64 (+.f64 x x) 1) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1 (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 x x) (fma.f64 -1 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 x x) (fma.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 x x) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (+.f64 x x)))
-2
(+.f64 (+.f64 x x) (*.f64 (+.f64 x x) -1))
-2
(+.f64 1 (+.f64 (+.f64 x x) 1))
-2
(+.f64 (+.f64 (+.f64 x x) 1) 1)
-2
(+.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
-2
(+.f64 (+.f64 (+.f64 x x) 1) -1)
-2
(+.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (+.f64 (+.f64 x x) 1) (*.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) 1))
-2
(+.f64 (.f64 x x) (.f64 x x))
-2
(+.f64 2 (+.f64 x x))
-2
(+.f64 -1 (+.f64 (+.f64 x x) 1))
-2
(+.f64 (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)) (.f64 (+.f64 (+.f64 x x) 1) (.f64 x x)))
-2
(+.f64 (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)) (.f64 (.f64 x x) (+.f64 (+.f64 x x) 1)))
-2
(+.f64 (.f64 (.f64 x x) 1) (.f64 (.f64 x x) 1))
-2
(-.f64 (+.f64 x x) (+.f64 x x))
-2
(-.f64 (+.f64 (+.f64 x x) 1) 1)
-2
(-.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
-2
(-.f64 (/.f64 1 (neg.f64 (+.f64 x x))) (/.f64 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x))))
-2
(-.f64 (/.f64 (.f64 x x) 0) (/.f64 (.f64 x x) 0))
-2
(*.f64 x (+.f64 x x))
-2
(*.f64 x 2)
-2
(*.f64 (+.f64 x x) x)
-2
(*.f64 (+.f64 x x) (+.f64 x x))
-2
(*.f64 (+.f64 x x) 1)
-2
(*.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
-2
(*.f64 (+.f64 x x) (cbrt.f64 x))
(*.f64 -2 (cbrt.f64 x))
(.f64 (+.f64 x x) (.f64 x x))
-2
(*.f64 (+.f64 x x) (sqrt.f64 x))
(*.f64 -2 (sqrt.f64 x))
(*.f64 (+.f64 x x) (pow.f64 x 3))
-2
(.f64 (+.f64 x x) (.f64 x (+.f64 (+.f64 x x) 1)))
-2
(*.f64 1 (+.f64 x x))
-2
(*.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x))
-2
(*.f64 0 (/.f64 1 0))
-2
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(/.f64 1 (/.f64 (+.f64 (+.f64 x x) 1) 1))
-2
(/.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
-2
(/.f64 (-.f64 1 (+.f64 x x)) (-.f64 1 (+.f64 x x)))
-2
(/.f64 -1 (neg.f64 (+.f64 (+.f64 x x) 1)))
-2
(/.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1)))
-2
(/.f64 (/.f64 (+.f64 (+.f64 x x) 1) 1) (+.f64 (+.f64 x x) 1))
-2
(/.f64 (+.f64 (+.f64 x x) (pow.f64 (-.f64 1 (+.f64 x x)) 3)) (+.f64 (+.f64 x x) (-.f64 (.f64 (-.f64 1 (+.f64 x x)) (-.f64 1 (+.f64 x x))) (.f64 (+.f64 x x) (-.f64 1 (+.f64 x x))))))
-2
(/.f64 (-.f64 (+.f64 x x) (*.f64 (-.f64 1 (+.f64 x x)) (-.f64 1 (+.f64 x x)))) (-.f64 (+.f64 x x) (-.f64 1 (+.f64 x x))))
-2
(sqrt.f64 (+.f64 (+.f64 x x) 1))
-2
(fabs.f64 (+.f64 (+.f64 x x) 1))
-2
(log.f64 (exp.f64 (+.f64 (+.f64 x x) 1)))
-2
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 x x) 1))))
-2
(log.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x x) 1)) (pow.f64 (exp.f64 2) x)))
-2
(cbrt.f64 (+.f64 (+.f64 x x) 1))
-2
(expm1.f64 (log.f64 (+.f64 x x)))
(expm1.f64 -2)
(hypot.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
(hypot.f64 -2 -2)
(hypot.f64 1 (+.f64 x x))
(hypot.f64 -2 -2)
(hypot.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x))
(hypot.f64 -2 -2)
(exp.f64 (log1p.f64 (+.f64 x x)))
(exp.f64 (log1p.f64 -2))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 2))
(exp.f64 (log1p.f64 -2))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 3/2))
(pow.f64 (exp.f64 (log1p.f64 -2)) 3/2)
(exp.f64 (*.f64 (log1p.f64 (+.f64 x x)) 1))
(exp.f64 (log1p.f64 -2))
(exp.f64 (neg.f64 (log1p.f64 (+.f64 x x))))
(exp.f64 (log1p.f64 -2))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 x x) 1)))
-2
(fma.f64 x (+.f64 x x) 1)
-2
(fma.f64 x (+.f64 x x) -1)
-2
(fma.f64 (+.f64 x x) x 1)
-2
(fma.f64 (+.f64 x x) x -1)
-2
(fma.f64 (+.f64 x x) (+.f64 x x) 1)
-2
(fma.f64 (+.f64 x x) (+.f64 x x) (+.f64 (+.f64 x x) 1))
-2
(fma.f64 (+.f64 x x) (+.f64 x x) (-.f64 1 (+.f64 x x)))
-2
(fma.f64 (+.f64 x x) (+.f64 x x) -1)
-2
(fma.f64 (+.f64 x x) 1 (+.f64 (+.f64 x x) 1))
-2
(fma.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1))
-2
(fma.f64 1 (+.f64 x x) 1)
-2
(fma.f64 1 (+.f64 x x) (+.f64 (+.f64 x x) 1))
-2
(fma.f64 1 (+.f64 x x) -1)
-2
(fma.f64 1 (+.f64 (+.f64 x x) 1) (+.f64 x x))
-2
(fma.f64 1 (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x)))
-2
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 x x) (+.f64 (+.f64 x x) 1))
-2
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) (+.f64 x x))
-2
(fma.f64 (+.f64 (+.f64 x x) 1) (+.f64 (+.f64 x x) 1) (neg.f64 (+.f64 x x)))
-2

eval77.0ms (0.1%)

Compiler: Compiled 5011 to 2426 computations (51.6% saved)

prune54.0ms (0%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	241	10	251
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	241	14	255

Accurracy

100.0%

Counts

255 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	8.7%	(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
	8.7%	(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
▶	5.3%	(/.f64 (+.f64 x x) (+.f64 x x))
	5.2%	(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1))))
	7.7%	(-.f64 (+.f64 (+.f64 x x) 1) 1)
▶	10.7%	(+.f64 x x)
▶	5.7%	(+.f64 -2 x)
▶	7.3%	(*.f64 (+.f64 x x) x)
✓	47.4%	(*.f64 (sqrt.f64 2) x)
	7.3%	(.f64 4 (.f64 x x))
✓	12.1%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))
	1.7%	-2
✓	100.0%	(hypot.f64 x x)
▶	8.7%	(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
	8.7%	(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
▶	5.3%	(/.f64 (+.f64 x x) (+.f64 x x))
	5.2%	(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1))))
	7.7%	(-.f64 (+.f64 (+.f64 x x) 1) 1)
▶	10.7%	(+.f64 x x)
▶	5.7%	(+.f64 -2 x)
▶	7.3%	(*.f64 (+.f64 x x) x)
✓	47.4%	(*.f64 (sqrt.f64 2) x)
	7.3%	(.f64 4 (.f64 x x))
✓	12.1%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))
	1.7%	-2

Compiler

Compiled 446 to 252 computations (43.5% saved)

localize182.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (+.f64 x x) 1) -1)
✓	99.6%	(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
✓	99.6%	(/.f64 (+.f64 x x) (+.f64 x x))

Compiler

Compiled 60 to 21 computations (65% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
0.0ms	x	@	inf	(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
0.0ms	x	@	-inf	(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
0.0ms	x	@	0	(-.f64 (+.f64 (+.f64 x x) 1) -1)
0.0ms	x	@	inf	(-.f64 (+.f64 (+.f64 x x) 1) -1)

rewrite37.0ms (0%)

Algorithm

1×	batch-egg-rewrite

Rules

218×	`add-sqr-sqrt`
210×	`pow1`
210×	`*-un-lft-identity`
204×	`add-cbrt-cube`
204×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	236	3
2	3758	3

Stop Event

1×

unsound

Counts

3 → 36

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
(-.f64 (+.f64 (+.f64 x x) 1) -1)

Outputs
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27
x
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27
x
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27
x

simplify71.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1024×	`sub-neg`
860×	`fma-def`
554×	`distribute-lft-out`
460×	`associate-/r*`
456×	`distribute-lft-out--`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	416
1	83	408
2	193	400
3	572	394
4	2493	392
5	6591	392

Stop Event

1×	node limit

Counts

72 → 49

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
2
(+.f64 (*.f64 2 x) 2)
(+.f64 (*.f64 2 x) 2)
(+.f64 (*.f64 2 x) 2)
(*.f64 2 x)
(+.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 2 x))
(*.f64 2 x)
(+.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 2 x))
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(*.f64 x (-.f64 1 x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (.f64 (.f64 x x) (+.f64 -1 x)))
(fma.f64 (*.f64 x x) (+.f64 x -1) x)
(fma.f64 x (*.f64 x (+.f64 x -1)) x)
(fma.f64 (-.f64 1 x) x (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(.f64 (fma.f64 x x 1) (-.f64 x (.f64 x x)))
(*.f64 (-.f64 1 x) (+.f64 x (pow.f64 x 3)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
2
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(+.f64 (*.f64 2 x) 2)
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(fma.f64 x 2 2)
(+.f64 2 (*.f64 2 x))
(fma.f64 2 x 2)
(fma.f64 x 2 2)
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27
-2
-1
0
1/2
1
3/2
2
3
4
8
9
27

eval11.0ms (0%)

Compiler: Compiled 397 to 251 computations (36.8% saved)

prune39.0ms (0%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	3	2	5
Picked	4	1	5
Done	0	4	4
Total	52	11	63

Accurracy

100.0%

Counts

63 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
	5.2%	(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1))))
✓	10.7%	(+.f64 x x)
✓	47.4%	(*.f64 (sqrt.f64 2) x)
	7.3%	(.f64 4 (.f64 x x))
✓	12.1%	(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
✓	53.6%	(sqrt.f64 (.f64 2 (.f64 x x)))
	10.7%	x
	5.4%	27
	5.3%	1/2
	3.8%	0

Compiler

Compiled 239 to 127 computations (46.9% saved)

regimes70.0ms (0%)

Counts

19 → 1

Calls

Call 1

Inputs
-2
0
1/2
27
x
(+.f64 -2 x)
(+.f64 x x)
(.f64 4 (.f64 x x))
(*.f64 (+.f64 x x) x)
(-.f64 (+.f64 (+.f64 x x) 1) 1)
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1))))
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) x)
(sqrt.f64 (.f64 2 (.f64 x x)))
(sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) (+.f64 (.f64 x (+.f64 x x)) 1)) (+.f64 1 (.f64 (+.f64 (.f64 x (+.f64 x x)) 1) 1)))))
(sqrt.f64 (expm1.f64 (log1p.f64 (.f64 2 (.f64 x x)))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

39.0ms	(sqrt.f64 (.f64 2 (.f64 x x)))
10.0ms	x
10.0ms	(*.f64 x x)
6.0ms	(.f64 2 (.f64 x x))

Results

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

Compiler

Compiled 159 to 80 computations (49.7% saved)

regimes27.0ms (0%)

Counts

14 → 2

Calls

Call 1

Inputs
-2
0
1/2
27
x
(+.f64 -2 x)
(+.f64 x x)
(.f64 4 (.f64 x x))
(*.f64 (+.f64 x x) x)
(-.f64 (+.f64 (+.f64 x x) 1) 1)
(/.f64 (+.f64 x x) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 (+.f64 x x) 1))
(/.f64 (+.f64 x x) (-.f64 (+.f64 (+.f64 x x) 1) -1))
(/.f64 (.f64 (neg.f64 (+.f64 x x)) (neg.f64 (+.f64 x x))) (.f64 (neg.f64 (+.f64 (+.f64 x x) 1)) (neg.f64 (+.f64 (+.f64 x x) 1))))

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

Calls

2 calls:

18.0ms	x
6.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
13.5%	2	`x`
10.7%	1	`(*.f64 x x)`

Compiler

Compiled 85 to 38 computations (55.3% saved)

regimes14.0ms (0%)

Counts

8 → 2

Calls

Call 1

Inputs
-2
0
1/2
27
x
(+.f64 -2 x)
(+.f64 x x)
(.f64 4 (.f64 x x))

Outputs
(.f64 4 (.f64 x x))
(+.f64 x x)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
13.5%	2	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes14.0ms (0%)

Counts

7 → 2

Calls

Call 1

Inputs
-2
0
1/2
27
x
(+.f64 -2 x)
(+.f64 x x)

Outputs
27
(+.f64 x x)

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
12.6%	2	`x`

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes13.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
-2
0
1/2
27
x
(+.f64 -2 x)

Outputs
27
x

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
12.6%	2	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
-2
0
1/2
27

Outputs
27

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
5.4%	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
-2
0
1/2

Outputs
1/2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.3%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes7.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-2
0

Outputs
0

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
3.8%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-2

Outputs
-2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.7%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch23.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-6.073241621974002e-306	1.6332543454811595e-292

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 131 to 78 computations (40.5% saved)

bsearch23.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-6.073241621974002e-306	1.6332543454811595e-292

Results

21.0ms

160×

body

256

valid

Compiler

Compiled 131 to 88 computations (32.8% saved)

bsearch205.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
205.0ms	-2.3194654798998403e-196	-3.4119199263949025e-210

Results

203.0ms

160×

body

256

valid

Compiler

Compiled 91 to 68 computations (25.3% saved)

bsearch30.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-2.3194654798998403e-196	-3.4119199263949025e-210

Results

28.0ms

160×

body

256

valid

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	97
1	28	97

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (+.f64 x x) x) (+.f64 x x))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (+.f64 x x))
(if (<=.f64 x -4428053887254485/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) 27 (+.f64 x x))
(if (<=.f64 x -2711053400359889/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) 27 x)
27
1/2
0
-2

Outputs
(hypot.f64 x x)
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (+.f64 x x) x) (+.f64 x x))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 x (+.f64 x x)) (+.f64 x x))
(if (<=.f64 x -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (.f64 4 (.f64 x x)) (+.f64 x x))
(if (<=.f64 x -4428053887254485/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) 27 (+.f64 x x))
(if (<=.f64 x -2711053400359889/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) 27 x)
27
1/2
0
-2

Compiler

Compiled 54 to 35 computations (35.2% saved)

soundness2.5min (97%)

Rules

1718×	`pow1`
1582×	`log1p-expm1-u`
1580×	`add-exp-log`
1580×	`expm1-log1p-u`
1562×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	83	816
1	193	816
2	739	816
3	2412	688
4	7441	688
0	8	30
1	160	24
2	1810	24
0	13	81
1	241	51
2	2731	51
0	374	1533
1	1124	1533
0	17	270
1	412	34
2	6784	34

Stop Event

1×	node limit
1×	unsound
1×	node limit
1×	node limit
1×	node limit

Results

Compiler

Compiled 520 to 372 computations (28.5% saved)

Details

analyze981.0ms (0.6%)

sample1.6s (1%)

preprocess13.0ms (0%)

simplify34.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize71.0ms (0%)

series2.0ms (0%)

rewrite64.0ms (0%)

simplify68.0ms (0%)

eval13.0ms (0%)

prune8.0ms (0%)

localize165.0ms (0.1%)

series4.0ms (0%)

rewrite82.0ms (0.1%)

simplify68.0ms (0%)

eval35.0ms (0%)

prune21.0ms (0%)

localize333.0ms (0.2%)

series5.0ms (0%)

rewrite89.0ms (0.1%)

simplify50.0ms (0%)

eval77.0ms (0.1%)

prune54.0ms (0%)

localize182.0ms (0.1%)

series1.0ms (0%)

rewrite37.0ms (0%)

simplify71.0ms (0%)

eval11.0ms (0%)

prune39.0ms (0%)

regimes70.0ms (0%)

regimes27.0ms (0%)

regimes14.0ms (0%)

regimes14.0ms (0%)

regimes13.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0%)

regimes3.0ms (0%)

bsearch23.0ms (0%)

bsearch23.0ms (0%)

bsearch205.0ms (0.1%)

bsearch30.0ms (0%)

simplify7.0ms (0%)

soundness2.5min (97%)

Profiling