Metrics for sqrt times

analyze2.0ms (0.1%)

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
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample838.0ms (33.9%)

Results

827.0ms	8256×	256	valid
1.0ms	11×	256	invalid

Bogosity

preprocess228.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

88×	`fma-def`
38×	`sub-neg`
22×	`+-commutative`
12×	`*-commutative`
12×	`associate-+l-`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`
-	-	`(sqrt.f64 (-.f64 x 1))`
-	-	`(-.f64 x 1)`
-	-	`1`
-	-	`(sqrt.f64 x)`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	36	124
2	55	120
3	77	120
4	103	120
5	135	120
6	156	120
7	172	120
8	197	120

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 (-.f64 (neg.f64 x) 1)) (sqrt.f64 (neg.f64 x))))

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize37.0ms (1.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 20 to 13 computations (35% saved)

series3.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

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

rewrite308.0ms (12.5%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`unpow-prod-down`
586×	`prod-exp`
496×	`log-prod`
471×	`log1p-expm1-u`
471×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	125	23
2	1422	23

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify78.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1442×	`log-prod`
1298×	`fma-def`
890×	`associate-r`
798×	`associate-l`
436×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	854
1	232	814
2	623	814
3	1726	806
4	7401	806

Stop Event

1×	node limit

Counts

30 → 47

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))

Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 -1/2 (+.f64 x (/.f64 -1/8 x)))
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (+.f64 -1/2 (+.f64 (/.f64 -1/8 x) (/.f64 -1/16 (pow.f64 x 2)))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2)))
x
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 x -1/2)
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 -1/2 (+.f64 x (/.f64 -1/8 x)))
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sqrt.f64 -1) 2) x)) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2))))
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 x (+.f64 -1/2 (+.f64 (/.f64 -1/8 x) (/.f64 -1/16 (pow.f64 x 2)))))
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(+.f64 0 (sqrt.f64 (*.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x))))) 3)
(.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x))))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) x)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)) 1/3))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(sqrt.f64 (-.f64 (pow.f64 x 2) x))

eval75.0ms (3%)

Compiler: Compiled 543 to 434 computations (20.1% saved)

prune8.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	5	48

Accuracy

100.0%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
▶	99.1%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
▶	98.8%	(-.f64 x 1/2)
▶	51.3%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
▶	97.7%	x

Compiler

Compiled 62 to 46 computations (25.8% saved)

localize239.0ms (9.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.8%	(pow.f64 (*.f64 x (+.f64 x -1)) 3/2)
✓	35.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
✓	51.3%	(sqrt.f64 (*.f64 x (+.f64 x -1)))

Compiler

Compiled 68 to 46 computations (32.4% saved)

series8.0ms (0.3%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
2.0ms	x	@	0	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
0.0ms	x	@	0	(pow.f64 (*.f64 x (+.f64 x -1)) 3/2)
0.0ms	x	@	0	(sqrt.f64 (*.f64 x (+.f64 x -1)))

rewrite97.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`prod-exp`
602×	`log-prod`
563×	`log1p-expm1-u`
563×	`expm1-log1p-u`
450×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	142	71
2	1670	67

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (*.f64 x (+.f64 x -1)) 3/2)

Outputs
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) 3/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 9/2) 1/9)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 2/3)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 1/3) (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3/4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x -1)))) 1/6))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 2))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) 2))
(exp.f64 (+.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3/4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x -1)))) 1/6))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 2))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) 2))
(exp.f64 (+.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 0 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))) 1)
(.f64 x (.f64 (+.f64 x -1) (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (+.f64 x -1) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (.f64 x (+.f64 x -1)) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (.f64 x (+.f64 x -1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2))
(*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2))
(.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) (pow.f64 (*.f64 x (+.f64 x -1)) 5/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4) (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (.f64 (*.f64 x (+.f64 x -1)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 3/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 3))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 9/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 3/4) 2))
(exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 x -1))) (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2)))
(exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 x -1))) (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2) (log.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) (log.f64 (.f64 x (+.f64 x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1)))
(exp.f64 (+.f64 (.f64 3/2 (log.f64 x)) (.f64 (log.f64 (+.f64 x -1)) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 3/2) (log.f64 (pow.f64 (+.f64 x -1) 3/2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 3/2) (.f64 (log.f64 (+.f64 x -1)) 3/2)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 x -1) 3/2)) (*.f64 (log.f64 x) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 3/2) (.f64 3/2 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 3/2) (.f64 (log.f64 x) 3/2)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4) (.f64 3/4 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)))

simplify120.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1062×	`distribute-lft-in`
1032×	`distribute-rgt-in`
776×	`times-frac`
662×	`associate-+r+`
528×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	8082
1	977	7737
2	2901	6106

Stop Event

1×	node limit

Counts

172 → 221

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/9) x)) (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 3/8 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 17)) 1/9)))))) (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 3/8 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 17)) 1/9)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) 1/3) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/16 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 4)) 1/9) (-.f64 (.f64 3/8 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 17)) 1/9))))) (.f64 -1/8 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/3))))))) (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3))))
x
(+.f64 x (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3)) (.f64 1/3 (/.f64 (-.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x 7))) (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (-.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (*.f64 1 (pow.f64 x 17)) 1/3)))))) (pow.f64 x 5))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 (*.f64 -1 (pow.f64 x 4)) 1/3)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 (.f64 -1 (pow.f64 x 4)) 1/3)) (.f64 1/3 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (*.f64 -1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4)))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 (.f64 -1 (pow.f64 x 4)) 1/3)) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 7)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (-.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (.f64 -1 (pow.f64 x 17)) 1/3)))))) (pow.f64 x 5))) (.f64 1/3 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (*.f64 -1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -3/2 (.f64 x (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -3/2 (.f64 x (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 3/8 (.f64 (pow.f64 x 2) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -3/2 (.f64 x (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 3) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 3/8 (.f64 (pow.f64 x 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 (pow.f64 x 2)) (pow.f64 x 3))
(+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (pow.f64 x 3)))
(+.f64 1/16 (+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (pow.f64 x 3))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 (pow.f64 x 2)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -3/8 x) (*.f64 3/2 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (.f64 -3/8 x) (*.f64 3/2 (pow.f64 x 2)))) 1/16)
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(pow.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 2) 3/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 9/2) 1/9)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/4) 2/3)
(pow.f64 (exp.f64 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 1/3) (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 x (+.f64 x -1))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (cbrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (sqrt.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3/4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x -1)))) 1/6))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 2))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) 2))
(exp.f64 (+.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 0 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(log.f64 (exp.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(hypot.f64 x (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) x)
(exp.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))))) 3/4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1/3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/6)) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 x -1)))) 1/6))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) 2))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) 2))
(exp.f64 (+.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4)) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 1/4))))
(exp.f64 (+.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6) (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1/6)))
(log1p.f64 (expm1.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(+.f64 0 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))) 1)
(.f64 x (.f64 (+.f64 x -1) (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (+.f64 x -1) (.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 x)))))
(.f64 (.f64 x (+.f64 x -1)) (hypot.f64 x (sqrt.f64 (neg.f64 x))))
(.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))) (.f64 x (+.f64 x -1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2) 1)
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/2) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x -1) 3/2))
(*.f64 (pow.f64 (+.f64 x -1) 3/2) (pow.f64 x 3/2))
(.f64 1 (pow.f64 (.f64 x (+.f64 x -1)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) (pow.f64 (*.f64 x (+.f64 x -1)) 5/6))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 3/4) (pow.f64 (*.f64 x (+.f64 x -1)) 3/4))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/6))
(.f64 (.f64 (*.f64 x (+.f64 x -1)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(.f64 (pow.f64 (.f64 x (+.f64 x -1)) 5/4) (pow.f64 (*.f64 x (+.f64 x -1)) 1/4))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 x (+.f64 x -1)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1) 3/2))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2) 3))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) 3))
(exp.f64 (.f64 (.f64 (.f64 3/2 (log.f64 (.f64 x (+.f64 x -1)))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 x -1)) 9/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x (+.f64 x -1)))) 3/4))
(exp.f64 (.f64 (.f64 3/4 (log.f64 (*.f64 x (+.f64 x -1)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 3/4) 2))
(exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 x -1))) (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1/2)))
(exp.f64 (+.f64 (log.f64 (.f64 x (+.f64 x -1))) (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1) (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1) (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1)))
(exp.f64 (+.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2) (log.f64 (*.f64 x (+.f64 x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) (log.f64 (.f64 x (+.f64 x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (hypot.f64 x (sqrt.f64 (neg.f64 x)))) 1) (.f64 (log.f64 (*.f64 x (+.f64 x -1))) 1)))
(exp.f64 (+.f64 (.f64 3/2 (log.f64 x)) (.f64 (log.f64 (+.f64 x -1)) 3/2)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 3/2) (log.f64 (pow.f64 (+.f64 x -1) 3/2))))
(exp.f64 (+.f64 (.f64 (log.f64 x) 3/2) (.f64 (log.f64 (+.f64 x -1)) 3/2)))
(exp.f64 (+.f64 (log.f64 (pow.f64 (+.f64 x -1) 3/2)) (*.f64 (log.f64 x) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 3/2) (.f64 3/2 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 3/2) (.f64 (log.f64 x) 3/2)))
(exp.f64 (+.f64 (.f64 3/4 (log.f64 (.f64 x (+.f64 x -1)))) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4) (.f64 3/4 (log.f64 (.f64 x (+.f64 x -1))))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)))

Outputs
x
(-.f64 x 1/2)
(+.f64 x -1/2)
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (-.f64 -1/2 (/.f64 1/8 x)))
(+.f64 (+.f64 x (/.f64 -1/8 x)) -1/2)
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(-.f64 (+.f64 x -1/2) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2))))
(+.f64 x (-.f64 -1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 (-.f64 x (+.f64 1/2 (/.f64 1/16 (pow.f64 x 2)))) (/.f64 -1/8 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(+.f64 1/2 (neg.f64 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1 x (/.f64 1/8 x)))
(+.f64 1/2 (-.f64 (/.f64 1/8 x) x))
(+.f64 1/2 (+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (*.f64 1/8 (/.f64 1 x)))))
(+.f64 1/2 (fma.f64 -1 x (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(+.f64 (+.f64 1/2 (-.f64 (/.f64 1/8 x) x)) (/.f64 1/16 (pow.f64 x 2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/9) x)) (pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3))
(fma.f64 -1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))))
(fma.f64 -1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 7) 1/18) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 7) 1/18))) (cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 3/8 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 17)) 1/9)))))) (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3)))
(fma.f64 -1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 2))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 3/8) (.f64 -3/4 (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18))))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))))))
(fma.f64 -1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18))) (fma.f64 1/3 (.f64 (pow.f64 x 2) (.f64 (fma.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 3/8 (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18)) -3/4)) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 3/2) (*.f64 2 (+.f64 (log.f64 -1) (log.f64 x)))))))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))))))
(fma.f64 -1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 7) 1/18) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 7) 1/18))) (fma.f64 1/3 (.f64 (pow.f64 x 2) (.f64 (fma.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 3/8 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 17) 1/18) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 17) 1/18)) -3/4)) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 x (exp.f64 (log.f64 -1))) 3))))) (cbrt.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 3/8 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 17)) 1/9)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 2)) 1/3) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/16 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (+.f64 (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 4)) 1/9) (-.f64 (.f64 3/8 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 17)) 1/9))))) (.f64 -1/8 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 7)) 1/3))))))) (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) 1/3))))
(fma.f64 -1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 2))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 3/8) (.f64 -3/4 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18))))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 2))) (pow.f64 x 3)) (-.f64 (.f64 1/16 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))) (fma.f64 -1 (.f64 (+.f64 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 3/8) (.f64 -3/4 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 4) 1/18))) (.f64 -1/8 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7)))))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 3/2) (.f64 2 (+.f64 (log.f64 -1) (log.f64 x))))))) (+.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 3/8 (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18)) -3/4))) (.f64 (pow.f64 x 3) (-.f64 (.f64 1/16 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))) (-.f64 (.f64 -1/8 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7))) (.f64 (fma.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 3/8 (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 17) 1/18)) -3/4)) (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 4) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 4) 1/18)))))))) (fma.f64 -1/2 (.f64 x (*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18) (pow.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) 7) 1/18))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))))))
(+.f64 (fma.f64 -1/2 (.f64 x (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 7) 1/18) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 7) 1/18))) (cbrt.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 x (exp.f64 (log.f64 -1))) 3))) (.f64 (pow.f64 x 2) (+.f64 (fma.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 3/8 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 17) 1/18) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 17) 1/18)) -3/4)) (.f64 x (+.f64 (fma.f64 1/16 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) (.f64 (fma.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 3/8 (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 17) 1/18) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 17) 1/18)) -3/4)) (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 4) 1/18)))) (.f64 1/8 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) 7))))))))))
x
(+.f64 x (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3)))
(+.f64 x (*.f64 -1/2 (cbrt.f64 (pow.f64 x 4))))
(fma.f64 -1/2 (cbrt.f64 (pow.f64 x 4)) x)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3)) (.f64 1/3 (/.f64 (-.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4)))))
(+.f64 x (fma.f64 -1/2 (cbrt.f64 (pow.f64 x 4)) (.f64 1/3 (/.f64 (+.f64 (.f64 3/8 (pow.f64 x 3)) (*.f64 -3/4 (cbrt.f64 (pow.f64 x 17)))) (pow.f64 x 4)))))
(+.f64 x (fma.f64 1/3 (/.f64 (fma.f64 3/8 (pow.f64 x 3) (.f64 (cbrt.f64 (pow.f64 x 17)) -3/4)) (pow.f64 x 4)) (.f64 -1/2 (cbrt.f64 (pow.f64 x 4)))))
(+.f64 (fma.f64 -1/2 (cbrt.f64 (pow.f64 x 4)) x) (.f64 (fma.f64 3/8 (pow.f64 x 3) (.f64 (cbrt.f64 (pow.f64 x 17)) -3/4)) (/.f64 1/3 (pow.f64 x 4))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (.f64 1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4))) (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/8 (pow.f64 x 7))) (.f64 -1 (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (-.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (*.f64 1 (pow.f64 x 17)) 1/3)))))) (pow.f64 x 5))))))
(+.f64 x (fma.f64 -1/2 (cbrt.f64 (pow.f64 x 4)) (.f64 1/3 (+.f64 (/.f64 (+.f64 (.f64 3/8 (pow.f64 x 3)) (.f64 -3/4 (cbrt.f64 (pow.f64 x 17)))) (pow.f64 x 4)) (/.f64 (-.f64 (fma.f64 1/16 (pow.f64 x 3) (.f64 1/8 (pow.f64 x 7))) (neg.f64 (.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (.f64 3/8 (pow.f64 x 3)) (*.f64 -3/4 (cbrt.f64 (pow.f64 x 17))))))) (pow.f64 x 5))))))
(+.f64 x (fma.f64 1/3 (+.f64 (/.f64 (fma.f64 3/8 (pow.f64 x 3) (.f64 (cbrt.f64 (pow.f64 x 17)) -3/4)) (pow.f64 x 4)) (/.f64 (fma.f64 1/16 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 7) (.f64 (cbrt.f64 (pow.f64 x 4)) (fma.f64 3/8 (pow.f64 x 3) (.f64 (cbrt.f64 (pow.f64 x 17)) -3/4))))) (pow.f64 x 5))) (.f64 -1/2 (cbrt.f64 (pow.f64 x 4)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 -1/2 (pow.f64 (*.f64 -1 (pow.f64 x 4)) 1/3)))
(fma.f64 -1 x (*.f64 -1/2 (cbrt.f64 (neg.f64 (pow.f64 x 4)))))
(-.f64 (*.f64 -1/2 (cbrt.f64 (neg.f64 (pow.f64 x 4)))) x)
(fma.f64 -1/2 (cbrt.f64 (neg.f64 (pow.f64 x 4))) (neg.f64 x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 (.f64 -1 (pow.f64 x 4)) 1/3)) (.f64 1/3 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (*.f64 -1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4)))))
(fma.f64 -1 x (fma.f64 -1/2 (cbrt.f64 (neg.f64 (pow.f64 x 4))) (.f64 1/3 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -3/8) (*.f64 -3/4 (cbrt.f64 (neg.f64 (pow.f64 x 17))))) (pow.f64 x 4)))))
(-.f64 (fma.f64 1/3 (/.f64 (fma.f64 (pow.f64 x 3) -3/8 (.f64 (cbrt.f64 (neg.f64 (pow.f64 x 17))) -3/4)) (pow.f64 x 4)) (.f64 -1/2 (cbrt.f64 (neg.f64 (pow.f64 x 4))))) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 -1/2 (pow.f64 (.f64 -1 (pow.f64 x 4)) 1/3)) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -1/8 (pow.f64 x 7)) (+.f64 (.f64 -1/16 (pow.f64 x 3)) (.f64 (pow.f64 (.f64 1 (pow.f64 x 4)) 1/3) (-.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (.f64 -1 (pow.f64 x 17)) 1/3)))))) (pow.f64 x 5))) (.f64 1/3 (/.f64 (-.f64 (.f64 -3/8 (pow.f64 x 3)) (.f64 3/4 (pow.f64 (*.f64 -1 (pow.f64 x 17)) 1/3))) (pow.f64 x 4))))))
(fma.f64 -1 x (fma.f64 -1/2 (cbrt.f64 (neg.f64 (pow.f64 x 4))) (.f64 1/3 (+.f64 (/.f64 (fma.f64 -1/8 (pow.f64 x 7) (fma.f64 -1/16 (pow.f64 x 3) (.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (.f64 (pow.f64 x 3) -3/8) (.f64 -3/4 (cbrt.f64 (neg.f64 (pow.f64 x 17)))))))) (pow.f64 x 5)) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -3/8) (.f64 -3/4 (cbrt.f64 (neg.f64 (pow.f64 x 17))))) (pow.f64 x 4))))))
(-.f64 (fma.f64 1/3 (+.f64 (/.f64 (fma.f64 (pow.f64 x 3) -3/8 (.f64 (cbrt.f64 (neg.f64 (pow.f64 x 17))) -3/4)) (pow.f64 x 4)) (/.f64 (fma.f64 -1/8 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/16 (.f64 (cbrt.f64 (pow.f64 x 4)) (fma.f64 (pow.f64 x 3) -3/8 (.f64 (cbrt.f64 (neg.f64 (pow.f64 x 17))) -3/4))))) (pow.f64 x 5))) (.f64 -1/2 (cbrt.f64 (neg.f64 (pow.f64 x 4))))) x)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))
(*.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 -3/2 (.f64 x (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) (.f64 -3/2 (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))))))
(.f64 (+.f64 (.f64 x -3/2) 1) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))))
(.f64 (+.f64 (.f64 x -3/2) 1) (*.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -3/2 (.f64 x (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 3/8 (.f64 (pow.f64 x 2) (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x))))))))
(+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) (fma.f64 -3/2 (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 3/8 (*.f64 (pow.f64 x 2) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))))))
(+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) (+.f64 (.f64 x -3/2) (*.f64 (pow.f64 x 2) 3/8))))
(.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) (+.f64 (+.f64 (.f64 x -3/2) 1) (.f64 (pow.f64 x 2) 3/8)))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))) (+.f64 (.f64 -3/2 (.f64 x (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 x 3) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))) (.f64 3/8 (.f64 (pow.f64 x 2) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 x)))))))))
(+.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) (fma.f64 -3/2 (.f64 x (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))) (fma.f64 1/16 (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) (pow.f64 x 3)) (.f64 3/8 (.f64 (pow.f64 x 2) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))))))))
(+.f64 (.f64 (+.f64 (.f64 x -3/2) 1) (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x)))) (.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 -1) (log.f64 x))) (+.f64 (.f64 (pow.f64 x 2) 3/8) (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) (.f64 (.f64 (pow.f64 x 3/2) (pow.f64 -1 3/2)) (+.f64 (.f64 x -3/2) (.f64 (pow.f64 x 2) (+.f64 3/8 (.f64 x 1/16))))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 (pow.f64 x 2)) (pow.f64 x 3))
(fma.f64 -3/2 (pow.f64 x 2) (pow.f64 x 3))
(*.f64 (pow.f64 x 2) (+.f64 x -3/2))
(+.f64 (.f64 -3/2 (pow.f64 x 2)) (+.f64 (.f64 3/8 x) (pow.f64 x 3)))
(fma.f64 -3/2 (pow.f64 x 2) (fma.f64 3/8 x (pow.f64 x 3)))
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(pow.f64 (*.f64 x (+.f64 x -1)) 3/2)
(pow.f64 (-.f64 (pow.f64 x 2) x) 3/2)
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4) (.f64 (log.f64 (.f64 x (+.f64 x -1))) 3/4)))
(pow.f64 (*.f64 x (+.f64 x -1)) 3/2)
(pow.f64 (-.f64 (pow.f64 x 2) x) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2)))
(pow.f64 (*.f64 x (+.f64 x -1)) 3/2)
(pow.f64 (-.f64 (pow.f64 x 2) x) 3/2)

eval92.0ms (3.7%)

Compiler: Compiled 4406 to 3412 computations (22.6% saved)

prune88.0ms (3.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	221	5	226

Accuracy

100.0%

Counts

226 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.2%	(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
✓	99.1%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.8%	(-.f64 x 1/2)
✓	51.3%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓	97.7%	x

Compiler

Compiled 65 to 47 computations (27.7% saved)

regimes11.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)

Outputs
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Calls

2 calls:

5.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(-.f64 x 1/2)

Outputs
(-.f64 x 1/2)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes38.0ms (1.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
97.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

72×	`unsub-neg`
42×	`neg-mul-1`
26×	`+-commutative`
22×	`sub-neg`
20×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	31	66
2	46	66
3	62	66
4	99	66
5	131	66
6	145	66
7	168	66
8	193	66
9	194	66

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

soundness151.0ms (6.1%)

Rules

1442×	`log-prod`
1298×	`fma-def`
890×	`associate-r`
798×	`associate-l`
436×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	854
1	232	814
2	623	814
3	1726	806
4	7401	806

Stop Event

1×	node limit

Compiler

Compiled 175 to 143 computations (18.3% saved)

end0.0ms (0%)

preprocess35.0ms (1.4%)

Compiler: Compiled 54 to 38 computations (29.6% saved)

analyze2.0ms (0.1%)

sample838.0ms (33.9%)

preprocess228.0ms (9.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize37.0ms (1.5%)

series3.0ms (0.1%)

rewrite308.0ms (12.5%)

simplify78.0ms (3.1%)

eval75.0ms (3%)

prune8.0ms (0.3%)

localize239.0ms (9.7%)

series8.0ms (0.3%)

rewrite97.0ms (3.9%)

simplify120.0ms (4.8%)

eval92.0ms (3.7%)

prune88.0ms (3.6%)

regimes11.0ms (0.4%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

regimes38.0ms (1.6%)

simplify7.0ms (0.3%)

soundness151.0ms (6.1%)

end0.0ms (0%)

preprocess35.0ms (1.4%)

Profiling