Metrics for x / (x^2 + 1)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample807.0ms (40%)

Results

790.0ms

8256×

body

256

valid

Bogosity

preprocess138.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1524×	`fma-neg`
1352×	`div-sub`
1178×	`distribute-lft-neg-in`
1082×	`cancel-sign-sub-inv`
1026×	`distribute-rgt-neg-in`

Problems

187×	No Errors
69×	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	49
1	30	49
2	50	49
3	104	49
4	260	49
5	882	49
6	2200	49
7	5865	49
8	7081	49

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 (neg.f64 x) (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

eval1.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize103.0ms (5.1%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite96.0ms (4.8%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

910×	`frac-2neg`
672×	`div-sub`
614×	`unpow-prod-down`
584×	`cancel-sign-sub-inv`
482×	`distribute-neg-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	38	15
2	207	15
3	1794	15

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (/.f64 0 (fma.f64 x x 1)) (/.f64 x (fma.f64 x x 1)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (pow.f64 x 4)) (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (neg.f64 (fma.f64 x x -1))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (neg.f64 (fma.f64 x x -1))) (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (.f64 x x)) (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) -1))
(+.f64 (.f64 (pow.f64 x 4) (/.f64 x (+.f64 1 (pow.f64 x 6)))) (.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 1 (pow.f64 x 6)))) (.f64 (pow.f64 x 4) (/.f64 x (+.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 x 4) -1))) (*.f64 -1 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(-.f64 0 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(-.f64 0 (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(-.f64 (/.f64 0 (fma.f64 x x 1)) (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(-.f64 (/.f64 (/.f64 0 (fma.f64 x x 1)) 1) (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(-.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 6))) (/.f64 1 x)) (/.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 6))) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) -1)) (/.f64 1 x)) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 x)))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (/.f64 x (fma.f64 x x 1)) (pow.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)) -1))
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 x x 1)))
(*.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))) (/.f64 x (+.f64 1 (pow.f64 x 6))))
(*.f64 (fma.f64 x x -1) (/.f64 x (+.f64 (pow.f64 x 4) -1)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 -1 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 6))) (+.f64 (+.f64 (neg.f64 (pow.f64 x 3)) x) (pow.f64 x 5)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 3)) x) (pow.f64 x 5))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (-.f64 (pow.f64 x 3) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (-.f64 (pow.f64 x 3) x)) -1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (neg.f64 x))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (pow.f64 (/.f64 -1 x) -1))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2) (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2))
(.f64 (.f64 1 (/.f64 x (+.f64 1 (pow.f64 x 6)))) (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))))
(.f64 (.f64 1 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (fma.f64 x x -1))
(.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (+.f64 x 1)) (+.f64 x -1))
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 x 6)))) (+.f64 (fma.f64 x x -1) (neg.f64 (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 -1 (fma.f64 x x 1)))
(.f64 (.f64 (pow.f64 x 1/2) (pow.f64 (fma.f64 x x 1) -1/2)) (*.f64 (pow.f64 x 1/2) (pow.f64 (fma.f64 x x 1) -1/2)))
(.f64 (.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 x 1/2)) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 x 1/2)))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2) 2)
(pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 x x 1) x)) -1/2)
(neg.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(neg.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) -1))

Calls

3 calls:

1.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
0.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

simplify108.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1206×	`cancel-sign-sub-inv`
1159×	`fma-def`
772×	`div-sub`
740×	`cancel-sign-sub`
684×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	1726
1	496	1714
2	1483	1682
3	5820	1680

Stop Event

1×	node limit

Counts

74 → 96

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(+.f64 (/.f64 0 (fma.f64 x x 1)) (/.f64 x (fma.f64 x x 1)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (pow.f64 x 4)) (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (neg.f64 (fma.f64 x x -1))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (neg.f64 (fma.f64 x x -1))) (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (pow.f64 x 4)))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (.f64 x x)) (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) -1))
(+.f64 (.f64 (pow.f64 x 4) (/.f64 x (+.f64 1 (pow.f64 x 6)))) (.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 1 (pow.f64 x 6)))) (.f64 (pow.f64 x 4) (/.f64 x (+.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 x 4) -1))) (*.f64 -1 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(-.f64 0 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(-.f64 0 (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(-.f64 (/.f64 0 (fma.f64 x x 1)) (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(-.f64 (/.f64 (/.f64 0 (fma.f64 x x 1)) 1) (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(-.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 6))) (/.f64 1 x)) (/.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 6))) (/.f64 1 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) -1)) (/.f64 1 x)) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 x)))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(*.f64 (/.f64 x (fma.f64 x x 1)) (pow.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)) -1))
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 x x 1)))
(*.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))) (/.f64 x (+.f64 1 (pow.f64 x 6))))
(*.f64 (fma.f64 x x -1) (/.f64 x (+.f64 (pow.f64 x 4) -1)))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(*.f64 -1 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 6))) (+.f64 (+.f64 (neg.f64 (pow.f64 x 3)) x) (pow.f64 x 5)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 3)) x) (pow.f64 x 5))) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (-.f64 (pow.f64 x 3) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (-.f64 (pow.f64 x 3) x)) -1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (neg.f64 x))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (pow.f64 (/.f64 -1 x) -1))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2) (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2))
(.f64 (.f64 1 (/.f64 x (+.f64 1 (pow.f64 x 6)))) (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))))
(.f64 (.f64 1 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (fma.f64 x x -1))
(.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (+.f64 x 1)) (+.f64 x -1))
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 x 6)))) (+.f64 (fma.f64 x x -1) (neg.f64 (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 -1 (fma.f64 x x 1)))
(.f64 (.f64 (pow.f64 x 1/2) (pow.f64 (fma.f64 x x 1) -1/2)) (*.f64 (pow.f64 x 1/2) (pow.f64 (fma.f64 x x 1) -1/2)))
(.f64 (.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 x 1/2)) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 x 1/2)))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2) 2)
(pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 x x 1) x)) -1/2)
(neg.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(neg.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) -1))
(exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(.f64 (sqrt.f64 (/.f64 x (+.f64 (.f64 x x) 1))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(.f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))
(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 (.f64 x x) 1))) (cbrt.f64 (/.f64 x (+.f64 (.f64 x x) 1)))) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(cbrt.f64 (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (*.f64 x x) 1))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 1)))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 1)))

Outputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 x (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 7) (pow.f64 x 5))))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(+.f64 0 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(+.f64 (/.f64 0 (fma.f64 x x 1)) (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (pow.f64 x 4)) (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (neg.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (neg.f64 (fma.f64 x x -1))) (.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (pow.f64 x 4)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(+.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (.f64 x x)) (*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) -1))
(/.f64 x (fma.f64 x x 1))
(+.f64 (.f64 (pow.f64 x 4) (/.f64 x (+.f64 1 (pow.f64 x 6)))) (.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(+.f64 (.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 x (+.f64 1 (pow.f64 x 6)))) (.f64 (pow.f64 x 4) (/.f64 x (+.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(+.f64 (.f64 (.f64 x x) (/.f64 x (+.f64 (pow.f64 x 4) -1))) (*.f64 -1 (/.f64 x (+.f64 (pow.f64 x 4) -1))))
(/.f64 x (fma.f64 x x 1))
(-.f64 0 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(-.f64 0 (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 0 (fma.f64 x x 1)) (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 (/.f64 0 (fma.f64 x x 1)) 1) (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 6))) (/.f64 1 x)) (/.f64 (/.f64 (*.f64 x x) (+.f64 1 (pow.f64 x 6))) (/.f64 1 x)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) -1)) (/.f64 1 x)) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (/.f64 1 x)))
(/.f64 x (fma.f64 x x 1))
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 1 (/.f64 x (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (fma.f64 x x 1)) (pow.f64 (/.f64 (fma.f64 x x -1) (fma.f64 x x -1)) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (neg.f64 x) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))) (/.f64 x (+.f64 1 (pow.f64 x 6))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (fma.f64 x x -1) (/.f64 x (+.f64 (pow.f64 x 4) -1)))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (fma.f64 x x 1)) x)
(/.f64 x (fma.f64 x x 1))
(*.f64 -1 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 6))) (+.f64 (+.f64 (neg.f64 (pow.f64 x 3)) x) (pow.f64 x 5)))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 6))) (pow.f64 (/.f64 1 (+.f64 (+.f64 (neg.f64 (pow.f64 x 3)) x) (pow.f64 x 5))) -1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (-.f64 (pow.f64 x 3) x))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -1)) (pow.f64 (/.f64 1 (-.f64 (pow.f64 x 3) x)) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (fma.f64 x x -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (neg.f64 x))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 -1 (fma.f64 x x 1)) (pow.f64 (/.f64 -1 x) -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2) (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2))
(/.f64 x (fma.f64 x x 1))
(.f64 (.f64 1 (/.f64 x (+.f64 1 (pow.f64 x 6)))) (+.f64 (pow.f64 x 4) (neg.f64 (fma.f64 x x -1))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 6))) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x 4) (fma.f64 x x -1))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3))) (+.f64 1 (pow.f64 x 6)))
(/.f64 (-.f64 x (-.f64 (pow.f64 x 3) (pow.f64 x 5))) (+.f64 1 (pow.f64 x 6)))
(.f64 (.f64 1 (/.f64 x (+.f64 (pow.f64 x 4) -1))) (fma.f64 x x -1))
(/.f64 x (fma.f64 x x 1))
(.f64 (.f64 (/.f64 x (+.f64 (pow.f64 x 4) -1)) (+.f64 x 1)) (+.f64 x -1))
(/.f64 x (fma.f64 x x 1))
(*.f64 (/.f64 x (+.f64 -1 (neg.f64 (pow.f64 x 6)))) (+.f64 (fma.f64 x x -1) (neg.f64 (pow.f64 x 4))))
(/.f64 (*.f64 x (-.f64 (fma.f64 x x -1) (pow.f64 x 4))) (-.f64 -1 (pow.f64 x 6)))
(/.f64 x (/.f64 (-.f64 -1 (pow.f64 x 6)) (-.f64 (fma.f64 x x -1) (pow.f64 x 4))))
(*.f64 (/.f64 x (-.f64 -1 (pow.f64 x 6))) (-.f64 (fma.f64 x x -1) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 -1 (pow.f64 x 6)))
(*.f64 (/.f64 x (-.f64 1 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -1)))
(*.f64 (neg.f64 (fma.f64 x x -1)) (/.f64 x (-.f64 1 (pow.f64 x 4))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x 3) x) (-.f64 1 (pow.f64 x 4))))
(/.f64 (-.f64 x (pow.f64 x 3)) (-.f64 1 (pow.f64 x 4)))
(*.f64 (pow.f64 (/.f64 -1 x) -1) (/.f64 -1 (fma.f64 x x 1)))
(/.f64 x (fma.f64 x x 1))
(.f64 (.f64 (pow.f64 x 1/2) (pow.f64 (fma.f64 x x 1) -1/2)) (*.f64 (pow.f64 x 1/2) (pow.f64 (fma.f64 x x 1) -1/2)))
(/.f64 x (fma.f64 x x 1))
(.f64 (.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 x 1/2)) (*.f64 (pow.f64 (fma.f64 x x 1) -1/2) (pow.f64 x 1/2)))
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 x (fma.f64 x x 1)) 1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 (fma.f64 x x 1) x) -1)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 1/2) 2)
(/.f64 x (fma.f64 x x 1))
(pow.f64 (*.f64 (/.f64 (fma.f64 x x 1) x) (/.f64 (fma.f64 x x 1) x)) -1/2)
(pow.f64 (/.f64 1 (pow.f64 (/.f64 (fma.f64 x x 1) x) -2)) -1/2)
(neg.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(neg.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 -1 x) x)) 1))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x 1) x)) -1))
(/.f64 x (fma.f64 x x 1))
(exp.f64 (log.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (fma.f64 x x 1))
(log.f64 (exp.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (fma.f64 x x 1))
(.f64 (sqrt.f64 (/.f64 x (+.f64 (.f64 x x) 1))) (sqrt.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (fma.f64 x x 1))
(.f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))
(/.f64 x (fma.f64 x x 1))
(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(/.f64 x (fma.f64 x x 1))
(.f64 (.f64 (cbrt.f64 (/.f64 x (+.f64 (.f64 x x) 1))) (cbrt.f64 (/.f64 x (+.f64 (.f64 x x) 1)))) (cbrt.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (fma.f64 x x 1))
(cbrt.f64 (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (fma.f64 x x 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (fma.f64 x x 1))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (fma.f64 x x 1))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 x x 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 x x 1))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 1)))
(binary32->binary64 (/.f32 (binary64->binary32 x) (fma.f32 (binary64->binary32 x) (binary64->binary32 x) 1)))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 x x 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (+.f64 (*.f64 x x) 1))))
(binary32->binary64 (binary64->binary32 (/.f64 x (fma.f64 x x 1))))
(binary32->binary64 (/.f32 (binary64->binary32 x) (+.f32 (*.f32 (binary64->binary32 x) (binary64->binary32 x)) 1)))
(binary32->binary64 (/.f32 (binary64->binary32 x) (fma.f32 (binary64->binary32 x) (binary64->binary32 x) 1)))

eval30.0ms (1.5%)

Compiler: Compiled 1311 to 913 computations (30.4% saved)

prune14.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Accuracy

100.0%

Counts

97 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	51.5%	(/.f64 1 x)
▶	99.6%	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
	51.1%	x
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	51.5%	(/.f64 1 x)
▶	99.6%	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
	51.1%	x

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize40.0ms (2%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite112.0ms (5.6%)

Algorithm

3×	rewrite-once
1×	batch-egg-rewrite

Rules

1136×	`frac-times`
1126×	`frac-2neg`
784×	`div-sub`
458×	`flip3-+`
384×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	36	19
2	271	19
3	3763	19

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(+.f64 0 (*.f64 (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 0 (.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) -1)))
(+.f64 0 (.f64 (neg.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1 x))) -1)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))))
(+.f64 0 (.f64 (neg.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (-.f64 (/.f64 1 x) x)))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 -1 x) x) -1/2)) (pow.f64 (-.f64 (/.f64 -1 x) x) -1/2)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4)))))
(+.f64 0 (.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 (pow.f64 x -2) (.f64 x x))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (-.f64 (/.f64 -1 (pow.f64 x 9)) (pow.f64 x 9)))) (+.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))) (fma.f64 -1 (pow.f64 x -3) (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 x -2)) (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (fma.f64 x x -1)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (fma.f64 x x -1)) (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 x -2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (.f64 x x))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) -1))
(+.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) x) (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (/.f64 -1 x)))
(+.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (/.f64 -1 x)) (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) x))
(+.f64 (.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 (.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 (.f64 (+.f64 (pow.f64 x -2) (.f64 x x)) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 (.f64 x (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (.f64 (/.f64 -1 x) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(+.f64 (.f64 (/.f64 -1 x) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (.f64 x (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(-.f64 0 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(-.f64 0 (/.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) -1))
(-.f64 (/.f64 0 (-.f64 (pow.f64 x -2) (*.f64 x x))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(-.f64 (/.f64 0 (-.f64 (pow.f64 (neg.f64 x) -3) (pow.f64 x 3))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(-.f64 (/.f64 0 (.f64 (-.f64 (pow.f64 x -2) (.f64 x x)) (-.f64 (/.f64 -1 x) x))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(*.f64 -1 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(*.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) 1)
(*.f64 1 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))))
(.f64 (-.f64 x (/.f64 1 x)) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))))
(.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))) (-.f64 (/.f64 1 x) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (-.f64 x (/.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 x (/.f64 1 x))) -1)
(*.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(.f64 (neg.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (-.f64 x (/.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))
(.f64 (.f64 1 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(.f64 (.f64 1 (/.f64 -1 (-.f64 (pow.f64 x -2) (*.f64 x x)))) (-.f64 x (/.f64 1 x)))
(pow.f64 (+.f64 x (/.f64 1 x)) -1)
(neg.f64 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1))

Calls

3 calls:

1.0ms	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
0.0ms	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
0.0ms	(/.f64 -1 (-.f64 (/.f64 -1 x) x))

simplify114.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

1211×	`fma-def`
1148×	`div-sub`
906×	`distribute-lft-neg-out`
794×	`associate-l`
726×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	2512
1	517	2334
2	1623	2324
3	5723	2324

Stop Event

1×	node limit

Counts

72 → 97

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 0 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(+.f64 0 (*.f64 (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 0 (.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) -1)))
(+.f64 0 (.f64 (neg.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1 x))) -1)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))))
(+.f64 0 (.f64 (neg.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (-.f64 (/.f64 1 x) x)))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 -1 x) x) -1/2)) (pow.f64 (-.f64 (/.f64 -1 x) x) -1/2)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4)))))
(+.f64 0 (.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 (pow.f64 x -2) (.f64 x x))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (-.f64 (/.f64 -1 (pow.f64 x 9)) (pow.f64 x 9)))) (+.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))) (fma.f64 -1 (pow.f64 x -3) (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 x -2)) (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (fma.f64 x x -1)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (fma.f64 x x -1)) (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 x -2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (.f64 x x))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) -1))
(+.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) x) (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (/.f64 -1 x)))
(+.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (/.f64 -1 x)) (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) x))
(+.f64 (.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 (.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 (.f64 (+.f64 (pow.f64 x -2) (.f64 x x)) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(+.f64 (.f64 x (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (.f64 (/.f64 -1 x) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(+.f64 (.f64 (/.f64 -1 x) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (.f64 x (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(-.f64 0 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(-.f64 0 (/.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) -1))
(-.f64 (/.f64 0 (-.f64 (pow.f64 x -2) (*.f64 x x))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(-.f64 (/.f64 0 (-.f64 (pow.f64 (neg.f64 x) -3) (pow.f64 x 3))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(-.f64 (/.f64 0 (.f64 (-.f64 (pow.f64 x -2) (.f64 x x)) (-.f64 (/.f64 -1 x) x))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(*.f64 -1 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(*.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) 1)
(*.f64 1 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))))
(.f64 (-.f64 x (/.f64 1 x)) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))))
(.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))) (-.f64 (/.f64 1 x) x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (-.f64 x (/.f64 1 x)))
(*.f64 (/.f64 -1 (+.f64 x (/.f64 1 x))) -1)
(*.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(.f64 (neg.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (-.f64 x (/.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))
(.f64 (.f64 1 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(.f64 (.f64 1 (/.f64 -1 (-.f64 (pow.f64 x -2) (*.f64 x x)))) (-.f64 x (/.f64 1 x)))
(pow.f64 (+.f64 x (/.f64 1 x)) -1)
(neg.f64 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (sqrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(*.f64 1 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(pow.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) 1)
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))) (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (/.f32 -1 (-.f32 (/.f32 -1 (binary64->binary32 x)) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (/.f32 -1 (-.f32 (/.f32 -1 (binary64->binary32 x)) (binary64->binary32 x))))

Outputs
x
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (pow.f64 x 5)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -1 (pow.f64 x 7)) (pow.f64 x 5))))
(+.f64 x (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (pow.f64 x 7) (pow.f64 x 5))))
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7)))
(+.f64 x (-.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 (pow.f64 x -2) x) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 x -2) x) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 (pow.f64 x -2) x)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 (pow.f64 x -2) x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 (pow.f64 x -2) x) (/.f64 1 x)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 (pow.f64 x -2) x) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 (pow.f64 x -2) x)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 (pow.f64 x -2) x))))
(+.f64 0 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(+.f64 0 (*.f64 (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 0 (.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) -1)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 0 (.f64 (neg.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (pow.f64 (/.f64 1 (-.f64 x (/.f64 1 x))) -1)))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 0 (.f64 (neg.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (-.f64 (/.f64 1 x) x)))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 -1 x) x) -1/2)) (pow.f64 (-.f64 (/.f64 -1 x) x) -1/2)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4)))))
(*.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) (+.f64 1 (/.f64 1 (pow.f64 x 4)))) (-.f64 (/.f64 1 x) x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6))) (+.f64 1 (+.f64 (pow.f64 x 4) (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 (pow.f64 x -2) (.f64 x x))))
(.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 1 x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 (pow.f64 x -2) (.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x (pow.f64 x -2)) (-.f64 (/.f64 1 x) x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 x 4)))
(/.f64 (fma.f64 x x (pow.f64 x -2)) (/.f64 (-.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 x 4)) (-.f64 (/.f64 1 x) x)))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 (pow.f64 x 4)) (pow.f64 x 4))) (fma.f64 x x (pow.f64 x -2)))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (-.f64 (/.f64 -1 (pow.f64 x 9)) (pow.f64 x 9)))) (+.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 6)))))
(*.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) (-.f64 (/.f64 -1 (pow.f64 x 9)) (pow.f64 x 9))) (+.f64 -1 (+.f64 (pow.f64 x 6) (/.f64 1 (pow.f64 x 6)))))
(/.f64 (*.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 -1 (pow.f64 x 6))) (-.f64 (neg.f64 (pow.f64 x -2)) (fma.f64 x x -1))) (-.f64 (/.f64 -1 (pow.f64 x 9)) (pow.f64 x 9)))
(/.f64 (-.f64 1 (fma.f64 x x (pow.f64 x -2))) (/.f64 (-.f64 (/.f64 -1 (pow.f64 x 9)) (pow.f64 x 9)) (+.f64 (pow.f64 x 6) (+.f64 -1 (/.f64 1 (pow.f64 x 6))))))
(+.f64 0 (*.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6)))) (fma.f64 -1 (pow.f64 x -3) (pow.f64 x 3))))
(*.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6))) (fma.f64 -1 (pow.f64 x -3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (neg.f64 (pow.f64 x -2)) (fma.f64 x x -1)) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6))) (fma.f64 -1 (pow.f64 x -3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 1 (fma.f64 x x (pow.f64 x -2))) (-.f64 (/.f64 1 (pow.f64 x 6)) (pow.f64 x 6))) (-.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 x -2)) (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (fma.f64 x x -1)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (fma.f64 x x -1)) (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (pow.f64 x -2)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (.f64 x x))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) -1))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) x) (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (/.f64 -1 x)))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(+.f64 (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (/.f64 -1 x)) (.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) x))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 (.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (.f64 (pow.f64 x -2) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 (.f64 (+.f64 (pow.f64 x -2) (.f64 x x)) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (*.f64 -1 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(+.f64 (.f64 x (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (.f64 (/.f64 -1 x) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(+.f64 (.f64 (/.f64 -1 x) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (.f64 x (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x)))))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(-.f64 0 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(-.f64 0 (/.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) -1))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(-.f64 (/.f64 0 (-.f64 (pow.f64 x -2) (*.f64 x x))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(-.f64 (/.f64 0 (-.f64 (pow.f64 (neg.f64 x) -3) (pow.f64 x 3))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(-.f64 (/.f64 0 (.f64 (-.f64 (pow.f64 x -2) (.f64 x x)) (-.f64 (/.f64 -1 x) x))) (/.f64 -1 (+.f64 x (/.f64 1 x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 -1 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) 1)
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 1 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(.f64 (-.f64 x (/.f64 1 x)) (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))) (-.f64 (/.f64 1 x) x))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(.f64 (/.f64 -1 (-.f64 (pow.f64 x -2) (.f64 x x))) (-.f64 x (/.f64 1 x)))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(*.f64 (/.f64 -1 (+.f64 x (/.f64 1 x))) -1)
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 (neg.f64 (/.f64 -1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(.f64 (neg.f64 (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x)))) (-.f64 x (/.f64 1 x)))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(*.f64 (pow.f64 (+.f64 x (/.f64 1 x)) -1/2) (pow.f64 (+.f64 x (/.f64 1 x)) -1/2))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(.f64 (.f64 1 (/.f64 1 (+.f64 (pow.f64 x -3) (pow.f64 x 3)))) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(*.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x -3))))
(/.f64 (+.f64 -1 (fma.f64 x x (pow.f64 x -2))) (+.f64 (pow.f64 x 3) (pow.f64 x -3)))
(.f64 (.f64 1 (/.f64 -1 (-.f64 (pow.f64 x -2) (*.f64 x x)))) (-.f64 x (/.f64 1 x)))
(.f64 (-.f64 (/.f64 1 x) x) (/.f64 1 (-.f64 (pow.f64 x -2) (.f64 x x))))
(/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x)))
(pow.f64 (+.f64 x (/.f64 1 x)) -1)
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(neg.f64 (/.f64 -1 (+.f64 x (/.f64 1 x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) -1))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(exp.f64 (log.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(log.f64 (exp.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (sqrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(*.f64 1 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(pow.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) 1)
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)))) (cbrt.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(cbrt.f64 (.f64 (.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x)) (/.f64 -1 (-.f64 (/.f64 -1 x) x))) (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(log1p.f64 (expm1.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(expm1.f64 (log1p.f64 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(/.f64 1 (+.f64 x (/.f64 1 x)))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(binary32->binary64 (/.f32 -1 (-.f32 (/.f32 -1 (binary64->binary32 x)) (binary64->binary32 x))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(binary32->binary64 (binary64->binary32 (/.f64 -1 (-.f64 (/.f64 -1 x) x))))
(binary32->binary64 (binary64->binary32 (/.f64 1 (+.f64 x (/.f64 1 x)))))
(binary32->binary64 (/.f32 -1 (-.f32 (/.f32 -1 (binary64->binary32 x)) (binary64->binary32 x))))

eval50.0ms (2.5%)

Compiler: Compiled 1701 to 1239 computations (27.2% saved)

prune15.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	97	4	101

Accuracy

100.0%

Counts

101 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	51.5%	(/.f64 1 x)
✓	99.6%	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
	51.1%	x
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	51.5%	(/.f64 1 x)
✓	99.6%	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
	51.1%	x

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	51.5%	(/.f64 1 x)
✓	99.6%	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
	51.1%	x
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	51.5%	(/.f64 1 x)
✓	99.6%	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
	51.1%	x

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.7%	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	51.5%	(/.f64 1 x)
✓	99.6%	(/.f64 -1 (-.f64 (/.f64 -1 x) x))
	51.1%	x

Compiler

Compiled 41 to 27 computations (34.1% saved)

regimes10.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 -1 (-.f64 (/.f64 -1 x) x))

Calls

2 calls:

5.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))
4.0ms	x

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes9.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

Outputs
(/.f64 1 x)
x
(/.f64 1 x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes5.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
51.1%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch42.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	0.054815232187750376	7655688.667280485
14.0ms	-488.6525548417222	-0.0006791851341728965

Results

39.0ms

288×

body

256

valid

Compiler

Compiled 156 to 116 computations (25.6% saved)

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
3×	`1-exp`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	29	53
2	32	53
3	34	53
4	35	53

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(/.f64 -1 (-.f64 (/.f64 -1 x) x))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness260.0ms (12.9%)

Rules

1206×	`cancel-sign-sub-inv`
1159×	`fma-def`
910×	`frac-2neg`
772×	`div-sub`
740×	`cancel-sign-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	38	15
2	207	15
3	1794	15
0	184	1726
1	496	1714
2	1483	1682
3	5820	1680

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 399 to 272 computations (31.8% saved)

end0.0ms (0%)

preprocess40.0ms (2%)

Compiler: Compiled 80 to 54 computations (32.5% saved)

analyze0.0ms (0%)

sample807.0ms (40%)

preprocess138.0ms (6.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize103.0ms (5.1%)

series3.0ms (0.1%)

rewrite96.0ms (4.8%)

simplify108.0ms (5.3%)

eval30.0ms (1.5%)

prune14.0ms (0.7%)

localize40.0ms (2%)

series1.0ms (0%)

rewrite112.0ms (5.6%)

simplify114.0ms (5.6%)

eval50.0ms (2.5%)

prune15.0ms (0.7%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.5%)

regimes9.0ms (0.5%)

regimes5.0ms (0.2%)

bsearch42.0ms (2.1%)

simplify12.0ms (0.6%)

soundness260.0ms (12.9%)

end0.0ms (0%)

preprocess40.0ms (2%)

Profiling