Details

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample977.0ms (23.8%)

Results

926.0ms	8255×	body	256	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess14.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	13	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% 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

99.8%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize36.0ms (0.9%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	100.0%	(sqrt.f64 (+.f64 x 1))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 25 to 19 computations (24% saved)

series4.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite77.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

882×	`log-prod`
848×	`prod-diff`
678×	`prod-exp`
596×	`fma-def`
560×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	195	51
2	2725	51

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

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

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

simplify108.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1736×	`fma-def`
892×	`unswap-sqr`
876×	`distribute-lft-in`
852×	`distribute-rgt-in`
426×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	3885
1	715	3601
2	2364	3515

Stop Event

1×	node limit

Counts

145 → 193

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(expm1.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 x)) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 x) 1/2) 1))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 x)) 2))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 x)) 3) 1/3))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/16 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 x (.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/2 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) 1)))
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 2))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 2))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/2 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 2 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 2) (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 2)))
(fma.f64 x (*.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/2 x 2)))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
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(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

eval100.0ms (2.4%)

Compiler: Compiled 2612 to 2035 computations (22.1% saved)

prune72.0ms (1.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	186	7	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	8	194

Accurracy

100.0%

Counts

194 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.5%	(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
▶	70.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶	70.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	69.5%	(/.f64 x 2)
	37.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	99.7%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
▶	68.5%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

Compiler

Compiled 123 to 95 computations (22.8% saved)

localize47.0ms (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	99.9%	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	99.8%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

Compiler

Compiled 35 to 28 computations (20% saved)

series53.0ms (1.3%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
51.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	0	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`log-prod`
830×	`prod-diff`
628×	`pow-prod-down`
612×	`fma-def`
504×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	216	46
2	2903	46

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

970×	`associate-r`
898×	`associate-l`
814×	`fma-def`
766×	`exp-prod`
558×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2257
1	483	2121
2	1257	2107
3	6236	2107

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/16 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 (.f64 -5/128 (pow.f64 x 3)) (+.f64 1/2 (*.f64 1/16 (pow.f64 x 2)))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)))
(/.f64 (*.f64 x -1) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 -1 x) (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 2)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)) 1/3)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) x) -1)
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 0 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -2) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1 x) 3/2))) (+.f64 1 (+.f64 1 (-.f64 x (sqrt.f64 (+.f64 1 x))))))
(*.f64 (/.f64 1 (-.f64 0 x)) (-.f64 1 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x)))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) 1/4)) -2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -1/2) 2)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1 x))))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1) -1))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
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1/2
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(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) 1) -1))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))) -1) 1))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 1) 1))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 3))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1 x))))) 1/3))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (sqrt.f64 (+.f64 1 x)))) 2))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (neg.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1 x))))))
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))

localize30.0ms (0.7%)

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

localize29.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
0.0ms	x	@	inf	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
0.0ms	x	@	0	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`pow1`
1692×	`add-exp-log`
1692×	`log1p-expm1-u`
1692×	`expm1-log1p-u`
1664×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	15
2	2308	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

Outputs
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 x (*.f64 x -1/8)) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x (.f64 x -1/8)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8))) (.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8)))) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))
(/.f64 (.f64 x (+.f64 (.f64 -1/512 (pow.f64 x 3)) 1/8)) (+.f64 1/4 (-.f64 (.f64 1/64 (.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 1/64 (.f64 x x)))) (+.f64 1/2 (.f64 1/8 x)))
(/.f64 (.f64 (+.f64 (.f64 -1/512 (pow.f64 x 3)) 1/8) x) (+.f64 1/4 (-.f64 (.f64 1/64 (.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 1/64 (.f64 x x))) x) (+.f64 1/2 (.f64 1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/8 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/8 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/8)))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-*r/`
846×	`fma-def`
658×	`times-frac`
632×	`fma-neg`
590×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	700
1	260	668
2	1081	640
3	4618	640

Stop Event

1×	node limit

Counts

36 → 37

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 -1/8 (pow.f64 x 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 x (*.f64 x -1/8)) 1))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x (.f64 x -1/8)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8))) (.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8)))) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))
(/.f64 (.f64 x (+.f64 (.f64 -1/512 (pow.f64 x 3)) 1/8)) (+.f64 1/4 (-.f64 (.f64 1/64 (.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (.f64 x (-.f64 1/4 (.f64 1/64 (.f64 x x)))) (+.f64 1/2 (.f64 1/8 x)))
(/.f64 (.f64 (+.f64 (.f64 -1/512 (pow.f64 x 3)) 1/8) x) (+.f64 1/4 (-.f64 (.f64 1/64 (.f64 x x)) (*.f64 -1/16 x))))
(/.f64 (.f64 (-.f64 1/4 (.f64 1/64 (.f64 x x))) x) (+.f64 1/2 (.f64 1/8 x)))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/8 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/8 1/2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/8)))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(.f64 -1/8 (.f64 x x))
(.f64 x (.f64 x -1/8))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(*.f64 -1/8 (pow.f64 x 2))
(.f64 -1/8 (.f64 x x))
(.f64 x (.f64 x -1/8))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 x (*.f64 x -1/8)) 1))
(*.f64 x (fma.f64 x -1/8 1/2))
(-.f64 (+.f64 1 (*.f64 x (fma.f64 x -1/8 1/2))) 1)
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x (.f64 x -1/8)) 3)) (+.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (-.f64 (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8))) (.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 -1/8 (.f64 x x)) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (.f64 (.f64 -1/8 (.f64 x x)) (-.f64 (.f64 -1/8 (.f64 x x)) (*.f64 1/2 x)))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 -1/512 (pow.f64 x 3) 1/8)) (fma.f64 x (.f64 1/4 x) (.f64 x (.f64 (.f64 x -1/8) (.f64 x (-.f64 (*.f64 x -1/8) 1/2))))))
(/.f64 (.f64 (pow.f64 x 3) (fma.f64 -1/512 (pow.f64 x 3) 1/8)) (.f64 (.f64 x x) (+.f64 (.f64 -1/8 (*.f64 x (fma.f64 x -1/8 -1/2))) 1/4)))
(/.f64 (fma.f64 -1/512 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (.f64 x (.f64 x (+.f64 1/4 (.f64 (*.f64 x -1/8) (fma.f64 x -1/8 -1/2))))))
(/.f64 (-.f64 (.f64 (.f64 x 1/2) (.f64 x 1/2)) (.f64 (.f64 x (.f64 x -1/8)) (.f64 x (.f64 x -1/8)))) (-.f64 (.f64 x 1/2) (.f64 x (*.f64 x -1/8))))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (.f64 x (+.f64 (.f64 -1/512 (pow.f64 x 3)) 1/8)) (+.f64 1/4 (-.f64 (.f64 1/64 (.f64 x x)) (*.f64 -1/16 x))))
(/.f64 x (/.f64 (+.f64 1/4 (fma.f64 1/64 (.f64 x x) (neg.f64 (.f64 x -1/16)))) (fma.f64 -1/512 (pow.f64 x 3) 1/8)))
(/.f64 x (/.f64 (+.f64 1/4 (.f64 x (+.f64 (.f64 x 1/64) 1/16))) (fma.f64 -1/512 (pow.f64 x 3) 1/8)))
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(/.f64 (.f64 x (-.f64 1/4 (.f64 1/64 (.f64 x x)))) (+.f64 1/2 (.f64 1/8 x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(/.f64 (.f64 (+.f64 (.f64 -1/512 (pow.f64 x 3)) 1/8) x) (+.f64 1/4 (-.f64 (.f64 1/64 (.f64 x x)) (*.f64 -1/16 x))))
(/.f64 x (/.f64 (+.f64 1/4 (fma.f64 1/64 (.f64 x x) (neg.f64 (.f64 x -1/16)))) (fma.f64 -1/512 (pow.f64 x 3) 1/8)))
(/.f64 x (/.f64 (+.f64 1/4 (.f64 x (+.f64 (.f64 x 1/64) 1/16))) (fma.f64 -1/512 (pow.f64 x 3) 1/8)))
(*.f64 (fma.f64 -1/512 (pow.f64 x 3) 1/8) (/.f64 x (fma.f64 x (fma.f64 x 1/64 1/16) 1/4)))
(/.f64 (.f64 (-.f64 1/4 (.f64 1/64 (.f64 x x))) x) (+.f64 1/2 (.f64 1/8 x)))
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 1)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 3)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3) 1/3)
(*.f64 x (fma.f64 x -1/8 1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/8 1/2))) 2)
(*.f64 x (fma.f64 x -1/8 1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 2))
(*.f64 x (fma.f64 x -1/8 1/2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x -1/8 1/2)))
(*.f64 x (fma.f64 x -1/8 1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/8 1/2)) 3))
(*.f64 x (fma.f64 x -1/8 1/2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x -1/8 1/2) 3)))
(*.f64 x (fma.f64 x -1/8 1/2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/8 1/2) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 x -1/8 1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(*.f64 x (fma.f64 x -1/8 1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(*.f64 x (fma.f64 x -1/8 1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/8 1/2))))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 x 1/2 (.f64 x (.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(*.f64 x (fma.f64 x -1/8 1/2))

localize82.0ms (2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Compiler

Compiled 20 to 15 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
0.0ms	x	@	0	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
0.0ms	x	@	-inf	(/.f64 x (+.f64 (*.f64 1/2 x) 2))

rewrite62.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`pow1`
1752×	`add-exp-log`
1750×	`log1p-expm1-u`
1750×	`expm1-log1p-u`
1722×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	180	15
2	2330	15

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

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

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1850×	`fma-def`
778×	`log-prod`
724×	`log-div`
438×	`associate-/l*`
412×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1251
1	325	1071
2	1013	887
3	4298	873

Stop Event

1×	node limit

Counts

45 → 74

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(.f64 (/.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 4 x)))
(.f64 (/.f64 x (+.f64 (.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 -1/8 (.f64 x x)))
(.f64 x (+.f64 (.f64 x -1/8) 1/2))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/32 (pow.f64 x 3))))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(fma.f64 (.f64 x x) (fma.f64 x 1/32 -1/8) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 x (.f64 x -1/8) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 1/2 x (fma.f64 -1/128 (pow.f64 x 4) (.f64 (.f64 x x) (fma.f64 x 1/32 -1/8))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 (/.f64 32 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 -128 (pow.f64 x 3))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 (/.f64 32 (*.f64 x x)) (+.f64 2 (/.f64 -8 x)))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 (/.f64 32 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 -8 x) (/.f64 -128 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (+.f64 (/.f64 32 (*.f64 x x)) (/.f64 -8 x)) (/.f64 -128 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 x (fma.f64 x 1/2 2))) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 x 1/2 2)) x)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 x (cbrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 x (sqrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 x 1/2 2)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(.f64 (/.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/8) 8)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 4 x)))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (fma.f64 (.f64 x x) 1/4 (-.f64 4 x)))
(.f64 (/.f64 x (fma.f64 (pow.f64 x 3) 1/8 8)) (-.f64 (fma.f64 x (.f64 x 1/4) 4) x))
(/.f64 (.f64 x (fma.f64 (.f64 x x) 1/4 (-.f64 4 x))) (fma.f64 (pow.f64 x 3) 1/8 8))
(/.f64 x (/.f64 (fma.f64 (pow.f64 x 3) 1/8 8) (-.f64 (fma.f64 x (*.f64 x 1/4) 4) x)))
(.f64 (/.f64 x (+.f64 (.f64 (*.f64 x x) 1/4) -4)) (fma.f64 x 1/2 -2))
(/.f64 (.f64 x (fma.f64 x 1/2 -2)) (fma.f64 (.f64 x x) 1/4 -4))
(.f64 (/.f64 x (fma.f64 x (.f64 x 1/4) -4)) (fma.f64 1/2 x -2))
(/.f64 (.f64 x (fma.f64 1/2 x -2)) (fma.f64 (.f64 x x) 1/4 -4))
(/.f64 (fma.f64 1/2 x -2) (/.f64 (fma.f64 x (*.f64 x 1/4) -4) x))
(pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 x 1/2 2))) 2)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 x 1/2 2) x) -1)
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 2))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 x 1/2 2)) 3))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(+.f64 1 (-.f64 (/.f64 x (fma.f64 x 1/2 2)) 1))
(+.f64 (/.f64 x (fma.f64 1/2 x 2)) 0)
(/.f64 x (fma.f64 1/2 x 2))

localize45.0ms (1.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	100.0%	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0ms	x	@	inf	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
0.0ms	x	@	inf	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
0.0ms	x	@	-inf	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))

rewrite69.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`log-prod`
838×	`prod-diff`
612×	`fma-def`
582×	`prod-exp`
540×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	201	32
2	2726	24

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))

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

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-/r*`
962×	`fma-def`
860×	`associate-/l*`
738×	`associate-*r/`
558×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	2590
1	625	2474
2	1822	2458

Stop Event

1×	node limit

Counts

128 → 155

Calls

Call 1

Inputs
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (*.f64 1/2 x) 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x 2))) 1)
(-.f64 (/.f64 1 (-.f64 0 (.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (.f64 1/2 x))))
(*.f64 1 (fma.f64 1/2 x 2))
(*.f64 (fma.f64 1/2 x 2) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)))
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)))
(.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1)))
(.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x))
(pow.f64 (fma.f64 1/2 x 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) -1)
(pow.f64 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2))
(log.f64 (exp.f64 (fma.f64 1/2 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 2))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 x 2)))
(exp.f64 (log.f64 (fma.f64 1/2 x 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x 2))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 x 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x 2))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 2)))
(fma.f64 1 (*.f64 1/2 x) 2)
(fma.f64 1 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 x 1/2 2)
(fma.f64 (*.f64 1/2 x) 1 2)
(fma.f64 (fma.f64 1/2 x 1) 1 1)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/2) 2)
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (.f64 (cbrt.f64 (*.f64 1/2 x)) 1) 2)
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 2)
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) 2)
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 (*.f64 1/2 x)) 1) 2)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 (fma.f64 (pow.f64 x 3) 1/8 1) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 1/4 1) (.f64 1/2 x))) 1)
(fma.f64 (fma.f64 (*.f64 x x) 1/4 -1) (/.f64 1 (fma.f64 1/2 x -1)) 1)
(fma.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) 2)
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 2)
(+.f64 0 (/.f64 x (fma.f64 1/2 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1)
(*.f64 1 (/.f64 x (fma.f64 1/2 x 2)))
(*.f64 x (/.f64 1 (fma.f64 1/2 x 2)))
(*.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2))))
(.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1))
(.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 0 (.f64 1/2 x)))
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 1/2 x 2) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (fma.f64 1/2 x 2))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) (*.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))

Outputs
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(.f64 x (+.f64 (.f64 -1/8 x) 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 x 1/32))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 x (.f64 x -1/8) (fma.f64 1/2 x (fma.f64 1/32 (pow.f64 x 3) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 128 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (/.f64 8 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 x 2))) 1)
(fma.f64 1/2 x 2)
(-.f64 (/.f64 1 (-.f64 0 (.f64 1/2 x))) (/.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x)))
(*.f64 1 (fma.f64 1/2 x 2))
(fma.f64 1/2 x 2)
(*.f64 (fma.f64 1/2 x 2) 1)
(fma.f64 1/2 x 2)
(*.f64 (cbrt.f64 (fma.f64 1/2 x 2)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2))
(fma.f64 1/2 x 2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (fma.f64 1/2 x 2)))
(fma.f64 1/2 x 2)
(*.f64 (sqrt.f64 (fma.f64 1/2 x 2)) (sqrt.f64 (fma.f64 1/2 x 2)))
(fma.f64 1/2 x 2)
(.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 (fma.f64 1/2 x 1) 1/2) x 1))
(.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (/.f64 1 (-.f64 0 (.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 (fma.f64 1/2 x 1) 1/2) x 1))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1))
(.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 (fma.f64 1/2 x 1) 1/2) x 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (pow.f64 (fma.f64 1/2 x 1) 2) (-.f64 0 (*.f64 1/2 x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (neg.f64 (*.f64 1/2 x)) (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (+.f64 (*.f64 x -1/2) (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 x -1/2 (pow.f64 (fma.f64 1/2 x 1) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (-.f64 0 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (neg.f64 (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1)))
(.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 (fma.f64 1/2 x 1) 1/2) x 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (neg.f64 (-.f64 0 (*.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x 1) 2) 1) (*.f64 1/2 x))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x)))
(pow.f64 (fma.f64 1/2 x 2) 1)
(fma.f64 1/2 x 2)
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 3)
(fma.f64 1/2 x 2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 2) 1/2)
(fma.f64 1/2 x 2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) 1/3)
(fma.f64 1/2 x 2)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) 2)
(fma.f64 1/2 x 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1) (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) -1)
(.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (fma.f64 1/2 x 1) (*.f64 1/2 x) 1))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) (fma.f64 (*.f64 (fma.f64 1/2 x 1) 1/2) x 1))
(pow.f64 (/.f64 (-.f64 0 (*.f64 1/2 x)) (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (neg.f64 (*.f64 1/2 x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2)) (*.f64 x -1/2))
(/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2))
(fma.f64 1/2 x 2)
(log.f64 (exp.f64 (fma.f64 1/2 x 2)))
(fma.f64 1/2 x 2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/2 x 2))))
(fma.f64 1/2 x 2)
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 3))
(fma.f64 1/2 x 2)
(expm1.f64 (log1p.f64 (fma.f64 1/2 x 2)))
(fma.f64 1/2 x 2)
(exp.f64 (log.f64 (fma.f64 1/2 x 2)))
(fma.f64 1/2 x 2)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) 1))
(fma.f64 1/2 x 2)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) 1) 1))
(fma.f64 1/2 x 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x 2))) 3))
(fma.f64 1/2 x 2)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/2 x 2))) 1/3))
(fma.f64 1/2 x 2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/2 x 2))) 2))
(fma.f64 1/2 x 2)
(log1p.f64 (expm1.f64 (fma.f64 1/2 x 2)))
(fma.f64 1/2 x 2)
(fma.f64 1 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(fma.f64 1 (fma.f64 1/2 x 1) 1)
(fma.f64 1/2 x 2)
(fma.f64 1/2 x 2)
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(fma.f64 (*.f64 1/2 x) 1 2)
(fma.f64 1/2 x 2)
(fma.f64 (fma.f64 1/2 x 1) 1 1)
(fma.f64 1/2 x 2)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) 1/2) 2)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (cbrt.f64 x)) 2)
(fma.f64 1/2 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) 2)
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) 2)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (cbrt.f64 (.f64 1/2 x)) 2)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 x)) 2) (.f64 (cbrt.f64 (*.f64 1/2 x)) 1) 2)
(fma.f64 1/2 x 2)
(fma.f64 (cbrt.f64 (fma.f64 1/2 x 1)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) 1)
(fma.f64 1/2 x 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 1)) 2) (cbrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 1/2 x 2)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) 2)
(fma.f64 1/2 x 2)
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (sqrt.f64 (.f64 1/2 x)) 2)
(fma.f64 1/2 x 2)
(fma.f64 (sqrt.f64 (.f64 1/2 x)) (.f64 (sqrt.f64 (*.f64 1/2 x)) 1) 2)
(fma.f64 1/2 x 2)
(fma.f64 (sqrt.f64 (fma.f64 1/2 x 1)) (sqrt.f64 (fma.f64 1/2 x 1)) 1)
(fma.f64 1/2 x 2)
(fma.f64 (fma.f64 (pow.f64 x 3) 1/8 1) (/.f64 1 (-.f64 (fma.f64 (.f64 x x) 1/4 1) (.f64 1/2 x))) 1)
(fma.f64 (fma.f64 (pow.f64 x 3) 1/8 1) (/.f64 1 (+.f64 (fma.f64 (.f64 x x) 1/4 1) (.f64 -1/2 x))) 1)
(fma.f64 (fma.f64 (pow.f64 x 3) 1/8 1) (/.f64 1 (+.f64 (.f64 x -1/2) (fma.f64 (.f64 x x) 1/4 1))) 1)
(+.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 1/8 1) (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/4) 1))))
(fma.f64 (fma.f64 (*.f64 x x) 1/4 -1) (/.f64 1 (fma.f64 1/2 x -1)) 1)
(+.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/4) -1) (fma.f64 1/2 x -1)))
(fma.f64 (.f64 1/2 (cbrt.f64 (.f64 x x))) (cbrt.f64 x) 2)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 1/2 (cbrt.f64 x)) 2)
(fma.f64 1/2 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)) 2)
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) 2)
(fma.f64 1/2 x 2)
(+.f64 0 (/.f64 x (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 x (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 x (/.f64 1 (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (fma.f64 1/2 x 2))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (fma.f64 1/2 x 2)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) x)
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (/.f64 x (cbrt.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))))
(/.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (/.f64 (sqrt.f64 (fma.f64 1/2 x 2)) x))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (fma.f64 1/2 x 2)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))))
(.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2) (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (fma.f64 1/2 x 2))) (/.f64 (cbrt.f64 x) (sqrt.f64 (fma.f64 1/2 x 2))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (fma.f64 1/2 x 2)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (fma.f64 1/2 x 2)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(.f64 (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))) (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1))
(.f64 (fma.f64 (fma.f64 1/2 x 1) (.f64 1/2 x) 1) (/.f64 x (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3))))
(/.f64 (fma.f64 (*.f64 (fma.f64 1/2 x 1) 1/2) x 1) (/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 x 1) 3)) x))
(.f64 (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))) (-.f64 0 (.f64 1/2 x)))
(.f64 (neg.f64 (.f64 1/2 x)) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(.f64 (.f64 x -1/2) (/.f64 x (-.f64 1 (pow.f64 (fma.f64 1/2 x 1) 2))))
(/.f64 x (/.f64 (fma.f64 1/2 x 2) (/.f64 (.f64 1/2 x) (.f64 1/2 x))))
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2) 1/2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -3) 1/3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)))
(pow.f64 (/.f64 (/.f64 (fma.f64 1/2 x 2) x) 1) -1)
(/.f64 x (fma.f64 1/2 x 2))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -3))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1) 1))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 3))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -3)) 1/3))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 x 2) x)) -1))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) (*.f64 (log.f64 x) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))

eval213.0ms (5.2%)

Compiler: Compiled 7048 to 5396 computations (23.4% saved)

prune105.0ms (2.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	520	10	530

Accurracy

100.0%

Counts

530 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	70.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	69.5%	(/.f64 x 2)
▶	68.5%	(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
▶	37.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
▶	70.5%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.7%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	68.5%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.8%	2

Compiler

Compiled 79 to 62 computations (21.5% saved)

localize37.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
✓	99.9%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)

Compiler

Compiled 30 to 24 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
0.0ms	x	@	0	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
0.0ms	x	@	0	(/.f64 1 (+.f64 (*.f64 1/2 x) 2))
0.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)

rewrite318.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

890×	`log-prod`
698×	`exp-prod`
586×	`prod-exp`
524×	`pow-prod-down`
426×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	214	30
2	2596	30

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 1 (+.f64 (*.f64 1/2 x) 2))

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

simplify211.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1234×	`fma-def`
1212×	`log-prod`
916×	`unswap-sqr`
586×	`times-frac`
506×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	2594
1	622	2514
2	1667	2496
3	7692	2496

Stop Event

1×	node limit

Counts

118 → 154

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/32 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (/.f64 x (fma.f64 1/2 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1)
(/.f64 1 (/.f64 (fma.f64 1/2 x 2) x))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (fma.f64 1/2 x 2) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 1/2 x 2) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 1/2 x 2)))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2)))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 1/2 x 2)))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 1/2 x 2)))
(/.f64 (/.f64 x 1) (fma.f64 1/2 x 2))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2))) (cbrt.f64 (fma.f64 1/2 x 2)))
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 1/2 x 2)) -1)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 1/2 x 2)) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) -1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) -1) (.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1) (log.f64 x)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1) (.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 1/2 x 2)) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 1/2 x 2))))
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 1/2 x 2)) 1)))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 x 2)))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1)
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (pow.f64 (fma.f64 1/2 x 2) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/2 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 1/8 8)) (-.f64 (fma.f64 (.f64 x x) 1/4 4) x))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2))
(pow.f64 (fma.f64 1/2 x 2) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 1/2 x 2))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -3)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) -2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 1/2 x 2)))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 1/2 x 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x 2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) 1)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/2 x 2) -3)) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 1/2 x 2))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 x 2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(*.f64 x (fma.f64 x -1/8 1/2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (.f64 1/2 x)))
(fma.f64 1/32 (pow.f64 x 3) (*.f64 x (fma.f64 x -1/8 1/2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/32 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 1/2 x (.f64 -1/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/32 (pow.f64 x 3) (fma.f64 -1/128 (pow.f64 x 4) (.f64 1/2 x))))
(+.f64 (.f64 x (fma.f64 x -1/8 1/2)) (fma.f64 1/32 (pow.f64 x 3) (.f64 -1/128 (pow.f64 x 4))))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 128 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 8 (/.f64 1 x)))
(-.f64 2 (/.f64 8 x))
(+.f64 2 (/.f64 -8 x))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (.f64 8 (/.f64 1 x)))
(-.f64 (+.f64 2 (/.f64 32 (*.f64 x x))) (/.f64 8 x))
(+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x)))
(+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x)))
(-.f64 (+.f64 2 (.f64 32 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 8 (/.f64 1 x)) (*.f64 128 (/.f64 1 (pow.f64 x 3)))))
(+.f64 2 (-.f64 (/.f64 32 (*.f64 x x)) (+.f64 (/.f64 8 x) (/.f64 128 (pow.f64 x 3)))))
(-.f64 (+.f64 2 (+.f64 (/.f64 (/.f64 32 x) x) (/.f64 -8 x))) (/.f64 128 (pow.f64 x 3)))
(-.f64 (+.f64 (+.f64 2 (/.f64 -8 x)) (/.f64 32 (*.f64 x x))) (/.f64 128 (pow.f64 x 3)))
1/2
(+.f64 (*.f64 -1/8 x) 1/2)
(fma.f64 -1/8 x 1/2)
(fma.f64 x -1/8 1/2)
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (.f64 1/32 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/8 x 1/2) (.f64 (.f64 x x) 1/32))
(fma.f64 x -1/8 (fma.f64 (*.f64 x x) 1/32 1/2))
(fma.f64 x -1/8 (fma.f64 x (*.f64 x 1/32) 1/2))
(+.f64 (.f64 -1/8 x) (+.f64 1/2 (+.f64 (.f64 1/32 (pow.f64 x 2)) (*.f64 -1/128 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/8 x 1/2) (fma.f64 1/32 (.f64 x x) (.f64 (pow.f64 x 3) -1/128)))
(+.f64 (fma.f64 x -1/8 1/2) (fma.f64 (.f64 x x) 1/32 (.f64 (pow.f64 x 3) -1/128)))
(fma.f64 x -1/8 (fma.f64 x (*.f64 x 1/32) (fma.f64 (pow.f64 x 3) -1/128 1/2)))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))) (/.f64 128 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x)) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -128 (pow.f64 x 4))))
(/.f64 2 x)
(-.f64 (.f64 2 (/.f64 1 x)) (.f64 8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x)))
(-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 8 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 (/.f64 -8 x) x)))
(-.f64 (+.f64 (.f64 32 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 128 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 2 x) (/.f64 32 (pow.f64 x 3))) (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 128 (pow.f64 x 4))))
(+.f64 (/.f64 32 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 2 x) (/.f64 8 (*.f64 x x))) (/.f64 128 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 (/.f64 8 x) x)) (+.f64 (/.f64 32 (pow.f64 x 3)) (/.f64 -128 (pow.f64 x 4))))
(+.f64 0 (/.f64 x (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1)
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 1 (/.f64 (fma.f64 1/2 x 2) x))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (fma.f64 1/2 x 2) (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/2 x 2)))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 1/2 x 2) (sqrt.f64 x)))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x (sqrt.f64 (fma.f64 1/2 x 2))) (sqrt.f64 (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (*.f64 x -1) (neg.f64 (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (*.f64 -1 x) (neg.f64 (fma.f64 1/2 x 2)))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x 1) (fma.f64 1/2 x 2))
(/.f64 x (fma.f64 1/2 x 2))
(/.f64 (/.f64 x (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2))) (cbrt.f64 (fma.f64 1/2 x 2)))
(/.f64 x (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) 2)) (cbrt.f64 (fma.f64 1/2 x 2))))
(pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (E.f64) (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2) 1/2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3) 1/3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2))) 2)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)) 1/3)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (/.f64 (fma.f64 1/2 x 2) x) -1)
(/.f64 x (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))) (sqrt.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(sqrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 2))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2)))))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (/.f64 x (fma.f64 1/2 x 2)) 3))
(/.f64 x (fma.f64 1/2 x 2))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/2 x 2) 3)))
(/.f64 x (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (fma.f64 1/2 x 2))) 1) 1))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 3))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (fma.f64 1/2 x 2)))) 1/3))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 1/2 x 2)))) 2))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 1/2 x 2)) -1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 1/2 x 2)) -1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) (*.f64 (log.f64 x) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) -1) (log.f64 x)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) -1) (.f64 (log.f64 x) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1) (log.f64 x)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1) (.f64 (log.f64 x) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (-.f64 (log.f64 x) (*.f64 (log.f64 (fma.f64 1/2 x 2)) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log.f64 (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (fma.f64 1/2 x 2)) 1)))
(/.f64 x (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 1/2 x 2))))
(/.f64 x (fma.f64 1/2 x 2))
(+.f64 0 (/.f64 1 (fma.f64 1/2 x 2)))
(/.f64 1 (fma.f64 1/2 x 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 2)))) 1)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 1 (/.f64 1 (fma.f64 1/2 x 2)))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1)
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2)))
(*.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) (pow.f64 (fma.f64 1/2 x 2) -1/2))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/2 x 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2) (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))) (pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -2))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 1/8 8)) (-.f64 (fma.f64 (.f64 x x) 1/4 4) x))
(/.f64 (-.f64 (fma.f64 (*.f64 x x) 1/4 4) x) (fma.f64 (pow.f64 x 3) 1/8 8))
(/.f64 (fma.f64 x (*.f64 x 1/4) (-.f64 4 x)) (fma.f64 (pow.f64 x 3) 1/8 8))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/4 -4)) (fma.f64 1/2 x -2))
(/.f64 (fma.f64 1/2 x -2) (fma.f64 (*.f64 x x) 1/4 -4))
(/.f64 (fma.f64 1/2 x -2) (fma.f64 x (*.f64 x 1/4) -4))
(pow.f64 (fma.f64 1/2 x 2) -1)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (/.f64 1 (fma.f64 1/2 x 2)) 1)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 1/2 x 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -3)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/2 x 2))) 3)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 1/2 x 2) 3) -1/6))
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -2) 1/2)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -3) 1/3)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (sqrt.f64 (fma.f64 1/2 x 2)) -2)
(pow.f64 (pow.f64 (fma.f64 1/2 x 2) -1/2) 2)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 -1) (log.f64 (fma.f64 1/2 x 2)))
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 1/2 x 2))) -1)
(/.f64 1 (fma.f64 1/2 x 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))))) (sqrt.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2)))))
(sqrt.f64 (pow.f64 (fma.f64 1/2 x 2) -2))
(/.f64 1 (fma.f64 1/2 x 2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/2 x 2)))))
(/.f64 1 (fma.f64 1/2 x 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x 2) -3))
(/.f64 1 (fma.f64 1/2 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) -1))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 1/2 x 2)) 1)))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) 1) -1))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/2 x 2)) -1) 1))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 1/2 x 2))) 1) 1))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 x 2)))) 3))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x 2)) -3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 1/2 x 2) -3)) 1/3))
(/.f64 1 (fma.f64 1/2 x 2))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 1/2 x 2))) 2))
(/.f64 1 (fma.f64 1/2 x 2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 x 2))))
(/.f64 1 (fma.f64 1/2 x 2))

localize68.0ms (1.7%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	37.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite79.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`pow1`
1664×	`add-exp-log`
1664×	`log1p-expm1-u`
1664×	`expm1-log1p-u`
1636×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	189	17
2	2335	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1268×	`distribute-lft-in`
1222×	`distribute-rgt-in`
828×	`times-frac`
612×	`div-sub`
608×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1363
1	237	1159
2	741	1041
3	3560	837

Stop Event

1×	node limit

Counts

35 → 53

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(fma.f64 1/2 x (.f64 x (.f64 x -1/8)))
(.f64 x (+.f64 1/2 (.f64 x -1/8)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (.f64 1/16 (pow.f64 x 3))))
(fma.f64 1/2 x (.f64 (.f64 x x) (+.f64 -1/8 (*.f64 x 1/16))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 -5/128 (pow.f64 x 4) (.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4)))))
(fma.f64 1/2 x (fma.f64 x (.f64 x -1/8) (fma.f64 1/16 (pow.f64 x 3) (.f64 -5/128 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (/.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 x 1)) 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 x (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 1 (.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) x))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (-.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 (+.f64 x 1) (-.f64 1 (*.f64 (sqrt.f64 (+.f64 x 1)) -1)))))
(.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 (+.f64 x 1) 1) (.f64 (sqrt.f64 (+.f64 x 1)) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 x (+.f64 2 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 2 (+.f64 x (sqrt.f64 (+.f64 x 1)))))
(/.f64 (-.f64 1 (+.f64 x 1)) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1)))
(-.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (/.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 3)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)) 2)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 2))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 3))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1)))
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 1 (-.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) -1) 1))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) -2))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

localize61.0ms (1.5%)

Compiler: Compiled 25 to 17 computations (32% saved)

eval148.0ms (3.6%)

Compiler: Compiled 3281 to 2587 computations (21.2% saved)

prune33.0ms (0.8%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	270	10	280

Accurracy

100.0%

Counts

280 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	70.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	69.5%	(/.f64 x 2)
✓	68.5%	(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
✓	37.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	70.5%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.7%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	68.5%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.8%	2

Compiler

Compiled 79 to 62 computations (21.5% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	9	9
Total	10	10

Accurracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.5%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	70.5%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.8%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	69.5%	(/.f64 x 2)
✓	68.5%	(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
✓	37.2%	(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
✓	70.5%	(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
✓	99.7%	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
✓	68.5%	(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
	4.8%	2

Compiler

Compiled 157 to 120 computations (23.6% saved)

regimes23.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(fma.f64 -1/8 (.f64 x x) (.f64 1/2 x))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)

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

Calls

2 calls:

14.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 89 to 66 computations (25.8% saved)

regimes51.0ms (1.2%)

Counts

8 → 2

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Outputs
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)

Calls

1 calls:

49.0ms

Results

Accuracy	Segments	Branch
99.5%	2	`x`

Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes6.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(+.f64 (.f64 x (.f64 x -1/8)) (*.f64 x 1/2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))

Outputs
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
70.5%	1	`x`

Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes34.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
70.5%	1	`x`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
2
(/.f64 x 2)
(.f64 x (+.f64 1/2 (.f64 -1/8 x)))

Outputs
(/.f64 x 2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
69.5%	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
2

Outputs
2

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.8%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch16.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.4213231302004441e-8	0.005275830814677986

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 184 to 154 computations (16.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
4×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	126
1	33	126

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7201608886376209/590295810358705651712) (.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)
2

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 7201608886376209/590295810358705651712) (.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 7201608886376209/590295810358705651712) (.f64 x (/.f64 1 (+.f64 (.f64 x 1/2) 2))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 x) 2)) x)
(.f64 x (/.f64 1 (+.f64 (.f64 x 1/2) 2)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)
2

Compiler

Compiled 53 to 42 computations (20.8% saved)

soundness313.0ms (7.6%)

Rules

1736×	`fma-def`
892×	`unswap-sqr`
882×	`log-prod`
882×	`log-prod`
876×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	195	51
2	2725	51
0	9	51
1	195	51
2	2725	51
0	316	3885
1	715	3601
2	2364	3515

Stop Event

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

Compiler

Compiled 274 to 210 computations (23.4% saved)

end62.0ms (1.5%)

Compiler: Compiled 114 to 88 computations (22.8% saved)

Details

analyze1.0ms (0%)

sample977.0ms (23.8%)

preprocess14.0ms (0.3%)

simplify12.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize36.0ms (0.9%)

series4.0ms (0.1%)

rewrite77.0ms (1.9%)

simplify108.0ms (2.6%)

eval100.0ms (2.4%)

prune72.0ms (1.8%)

localize47.0ms (1.1%)

series53.0ms (1.3%)

rewrite71.0ms (1.7%)

simplify76.0ms (1.8%)

localize30.0ms (0.7%)

localize29.0ms (0.7%)

series2.0ms (0%)

rewrite59.0ms (1.4%)

simplify58.0ms (1.4%)

localize82.0ms (2%)

series1.0ms (0%)

rewrite62.0ms (1.5%)

simplify103.0ms (2.5%)

localize45.0ms (1.1%)

series1.0ms (0%)

rewrite69.0ms (1.7%)

simplify63.0ms (1.5%)

eval213.0ms (5.2%)

prune105.0ms (2.6%)

localize37.0ms (0.9%)

series1.0ms (0%)

rewrite318.0ms (7.7%)

simplify211.0ms (5.1%)

localize68.0ms (1.7%)

series1.0ms (0%)

rewrite79.0ms (1.9%)

simplify57.0ms (1.4%)

localize61.0ms (1.5%)

eval148.0ms (3.6%)

prune33.0ms (0.8%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes23.0ms (0.6%)

regimes51.0ms (1.2%)

regimes6.0ms (0.2%)

regimes34.0ms (0.8%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch16.0ms (0.4%)

simplify6.0ms (0.2%)

soundness313.0ms (7.6%)

end62.0ms (1.5%)

Profiling