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)

sample941.0ms (37%)

Results

833.0ms	8256×	body	256	valid
1.0ms	13×	body	256	invalid

Bogosity

preprocess80.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

256×

No Errors

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 28 to 19 computations (32.1% 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))
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 16 to 12 computations (25% saved)

localize39.0ms (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)

series2.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite322.0ms (12.7%)

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))

eval13.0ms (0.5%)

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
▶	99.4%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
▶	98.9%	(-.f64 x 1/2)
▶	99.5%	(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
▶	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x
▶	99.4%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
▶	98.9%	(-.f64 x 1/2)
▶	99.5%	(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
▶	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 68 to 50 computations (26.5% saved)

localize203.0ms (8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))

Compiler

Compiled 77 to 55 computations (28.6% saved)

series2.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

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

rewrite236.0ms (9.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`prod-diff`
1107×	`log1p-expm1-u`
614×	`expm1-log1p-u`
328×	`expm1-udef`
328×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	194	48
2	2911	48

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

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

simplify171.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-neg`
548×	`distribute-lft-neg-in`
544×	`unswap-sqr`
498×	`fma-def`
448×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	8275
1	1187	6939
2	4310	5876

Stop Event

1×	node limit

Counts

171 → 205

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

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 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 2))) (.f64 1/8 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 2))) (/.f64 1/8 x)))
(+.f64 x (-.f64 -1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 1/2 (*.f64 -1 x))
(-.f64 1/2 x)
(+.f64 1/2 (+.f64 (.f64 -1 x) (.f64 1/8 (/.f64 1 x))))
(+.f64 (-.f64 1/2 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 (-.f64 1/2 x) (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (pow.f64 x 2))) (-.f64 1/2 x))
(/.f64 -1/8 x)
(neg.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(+.f64 -1/2 (neg.f64 (/.f64 1/8 x)))
(+.f64 (/.f64 -1/8 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 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
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 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
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 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(-.f64 x (+.f64 1/2 (*.f64 1/8 (/.f64 1 x))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(.f64 (sqrt.f64 (.f64 x (+.f64 x -1))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(.f64 1 (sqrt.f64 (.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) (cbrt.f64 (*.f64 x (+.f64 x -1))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x -1)))
(.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)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (+.f64 x -1))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x -1))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 x (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(.f64 (cbrt.f64 (.f64 x (+.f64 x -1))) (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 x -1)))))
(pow.f64 (*.f64 x (+.f64 x -1)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))) 1)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))) 3)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 3/2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x -1)) 1/4) 2)
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(fabs.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)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1))))))
(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)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 x -1))) 1/2))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 x -1)))) 1))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (+.f64 x -1)))))
(sqrt.f64 (*.f64 x (+.f64 x -1)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(+.f64 (/.f64 -1/8 x) (neg.f64 (-.f64 1/2 x)))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(+.f64 (/.f64 -1/8 x) (*.f64 (neg.f64 (-.f64 1/2 x)) 1))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(+.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2)) (fma.f64 (neg.f64 (-.f64 1/2 x)) 1 (-.f64 1/2 x)))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(+.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 1/2 x))) (pow.f64 (cbrt.f64 (-.f64 1/2 x)) 2) (-.f64 1/2 x)))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
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(/.f64 (-.f64 (+.f64 x 1/2) (.f64 (.f64 x -8) (-.f64 1/4 (pow.f64 x 2)))) (.f64 (.f64 x -8) (+.f64 x 1/2)))
(/.f64 (-.f64 (+.f64 x 1/2) (.f64 (-.f64 1/4 (pow.f64 x 2)) (.f64 x -8))) (.f64 (+.f64 x 1/2) (.f64 x -8)))
(/.f64 (+.f64 x (+.f64 1/2 (.f64 (-.f64 1/4 (pow.f64 x 2)) (.f64 x 8)))) (.f64 (+.f64 x 1/2) (.f64 x -8)))
(+.f64 (/.f64 1 (*.f64 x -8)) (/.f64 (+.f64 -1/4 (pow.f64 x 2)) (+.f64 x 1/2)))
(/.f64 (-.f64 (.f64 1/8 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (.f64 (neg.f64 x) (-.f64 1/8 (pow.f64 x 3)))) (.f64 (neg.f64 x) (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(+.f64 (fma.f64 -1/8 (/.f64 1 x) (.f64 (/.f64 -1 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (-.f64 1/8 (pow.f64 x 3)))) (fma.f64 (/.f64 -1 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (-.f64 1/8 (pow.f64 x 3)) (/.f64 (.f64 1 (-.f64 1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))))
(+.f64 (*.f64 0 (/.f64 (-.f64 1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/2) 1/4))) (-.f64 (/.f64 -1/8 x) (/.f64 (-.f64 1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/2) 1/4))))
(+.f64 (/.f64 -1/8 x) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 x (+.f64 x 1/2) 1/4)))
(/.f64 (-.f64 (.f64 1/8 (+.f64 x 1/2)) (.f64 (neg.f64 x) (-.f64 1/4 (pow.f64 x 2)))) (*.f64 (neg.f64 x) (+.f64 x 1/2)))
(+.f64 (fma.f64 -1/8 (/.f64 1 x) (.f64 (/.f64 -1 (+.f64 x 1/2)) (-.f64 1/4 (pow.f64 x 2)))) (fma.f64 (/.f64 -1 (+.f64 x 1/2)) (-.f64 1/4 (pow.f64 x 2)) (.f64 (/.f64 1 (+.f64 x 1/2)) (-.f64 1/4 (pow.f64 x 2)))))
(+.f64 (*.f64 0 (/.f64 (-.f64 1/4 (pow.f64 x 2)) (+.f64 x 1/2))) (-.f64 (/.f64 -1/8 x) (/.f64 (-.f64 1/4 (pow.f64 x 2)) (+.f64 x 1/2))))
(-.f64 (/.f64 -1/8 x) (/.f64 (-.f64 1/4 (pow.f64 x 2)) (+.f64 x 1/2)))
(/.f64 (neg.f64 (-.f64 (/.f64 -1/512 (pow.f64 x 3)) (pow.f64 (-.f64 1/2 x) 3))) (neg.f64 (+.f64 (/.f64 1/64 (pow.f64 x 2)) (*.f64 (-.f64 1/2 x) (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x))))))
(.f64 (-.f64 (/.f64 -1/512 (pow.f64 x 3)) (pow.f64 (-.f64 1/2 x) 3)) (/.f64 1 (+.f64 (/.f64 1/64 (pow.f64 x 2)) (.f64 (-.f64 1/2 x) (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x))))))
(/.f64 (+.f64 (/.f64 -1/512 (pow.f64 x 3)) (pow.f64 (+.f64 x -1/2) 3)) (fma.f64 (-.f64 1/2 x) (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x)) (/.f64 1/64 (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/64 (pow.f64 x 2)) (pow.f64 (-.f64 1/2 x) 2))) (neg.f64 (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x))))
(*.f64 (-.f64 (/.f64 1/64 (pow.f64 x 2)) (pow.f64 (-.f64 1/2 x) 2)) (/.f64 1 (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 2)) (pow.f64 (-.f64 1/2 x) 2)) (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 -1/512 (pow.f64 x 3)) (pow.f64 (neg.f64 (-.f64 1/2 x)) 3)) (+.f64 (/.f64 1/64 (pow.f64 x 2)) (-.f64 (.f64 (neg.f64 (-.f64 1/2 x)) (neg.f64 (-.f64 1/2 x))) (.f64 (/.f64 -1/8 x) (neg.f64 (-.f64 1/2 x))))))
(.f64 (-.f64 (/.f64 -1/512 (pow.f64 x 3)) (pow.f64 (-.f64 1/2 x) 3)) (/.f64 1 (+.f64 (/.f64 1/64 (pow.f64 x 2)) (.f64 (-.f64 1/2 x) (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x))))))
(/.f64 (+.f64 (/.f64 -1/512 (pow.f64 x 3)) (pow.f64 (+.f64 x -1/2) 3)) (fma.f64 (-.f64 1/2 x) (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x)) (/.f64 1/64 (pow.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1/8 x) -1/2) 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (/.f64 -1/8 x) -1/2) (+.f64 (/.f64 -1/8 x) -1/2)) (-.f64 (pow.f64 x 2) (.f64 (+.f64 (/.f64 -1/8 x) -1/2) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 -1/8 x) -1/2) 3)) (fma.f64 (+.f64 (/.f64 -1/8 x) -1/2) (+.f64 (/.f64 -1/8 x) -1/2) (-.f64 (pow.f64 x 2) (*.f64 x (+.f64 (/.f64 -1/8 x) -1/2)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 -1/8 x) -1/2) 3)) (fma.f64 (+.f64 (/.f64 -1/8 x) -1/2) (+.f64 (/.f64 -1/8 x) -1/2) (*.f64 x (-.f64 x (+.f64 (/.f64 -1/8 x) -1/2)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 -1/8 x) -1/2) 3)) (fma.f64 (+.f64 (/.f64 -1/8 x) -1/2) (+.f64 (/.f64 -1/8 x) -1/2) (*.f64 x (+.f64 x (-.f64 1/2 (/.f64 -1/8 x))))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 2)) (*.f64 (neg.f64 (-.f64 1/2 x)) (neg.f64 (-.f64 1/2 x)))) (-.f64 (/.f64 -1/8 x) (neg.f64 (-.f64 1/2 x))))
(*.f64 (-.f64 (/.f64 1/64 (pow.f64 x 2)) (pow.f64 (-.f64 1/2 x) 2)) (/.f64 1 (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x))))
(/.f64 (-.f64 (/.f64 1/64 (pow.f64 x 2)) (pow.f64 (-.f64 1/2 x) 2)) (+.f64 (/.f64 -1/8 x) (-.f64 1/2 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1/8 x) -1/2) (+.f64 (/.f64 -1/8 x) -1/2)) (pow.f64 x 2)) (-.f64 (+.f64 (/.f64 -1/8 x) -1/2) x))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1/8 x) -1/2) (+.f64 (/.f64 -1/8 x) -1/2)) (pow.f64 x 2)) (+.f64 (/.f64 -1/8 x) (-.f64 -1/2 x)))
(/.f64 (-.f64 (*.f64 (-.f64 1/2 (/.f64 -1/8 x)) (-.f64 1/2 (/.f64 -1/8 x))) (pow.f64 x 2)) (+.f64 (/.f64 -1/8 x) (-.f64 -1/2 x)))
(pow.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2)) 1)
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))) 3)
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(pow.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2)) 3) 1/3)
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))) 2)
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2)) 2))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(log.f64 (exp.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2)))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2)) 3))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(exp.f64 (log.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))) 1))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(fma.f64 -1/8 (/.f64 1 x) (neg.f64 (-.f64 1/2 x)))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(fma.f64 1 (/.f64 -1/8 x) (neg.f64 (-.f64 1/2 x)))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))
(fma.f64 (cbrt.f64 (/.f64 1/64 (pow.f64 x 2))) (cbrt.f64 (/.f64 -1/8 x)) (neg.f64 (-.f64 1/2 x)))
(fma.f64 (cbrt.f64 (/.f64 -1/8 x)) (cbrt.f64 (/.f64 1/64 (pow.f64 x 2))) (+.f64 x -1/2))
(fma.f64 (sqrt.f64 (/.f64 -1/8 x)) (sqrt.f64 (/.f64 -1/8 x)) (neg.f64 (-.f64 1/2 x)))
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
(+.f64 x (+.f64 (/.f64 -1/8 x) -1/2))
(-.f64 x (-.f64 1/2 (/.f64 -1/8 x)))

eval90.0ms (3.5%)

Compiler: Compiled 4702 to 3417 computations (27.3% saved)

prune28.0ms (1.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	1	1
Picked	0	4	4
Done	0	0	0
Total	205	5	210

Accuracy

100.0%

Counts

210 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
✓	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x
✓	99.4%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
✓	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 68 to 50 computations (26.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
✓	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x
✓	99.4%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
✓	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 68 to 50 computations (26.5% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
✓	98.9%	(-.f64 x 1/2)
✓	99.5%	(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
✓	49.8%	(sqrt.f64 (*.f64 x (+.f64 x -1)))
	97.9%	x

Compiler

Compiled 71 to 51 computations (28.2% saved)

regimes12.0ms (0.5%)

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 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Outputs
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))

Calls

2 calls:

6.0ms	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
4.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))`

Compiler

Compiled 47 to 33 computations (29.8% saved)

regimes6.0ms (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:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (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
98.9%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.9%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

46×	`unsub-neg`
28×	`neg-mul-1`
20×	`+-commutative`
18×	`sub-neg`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	81
1	30	81
2	42	81
3	53	81
4	73	81
5	88	81
6	98	81
7	115	81
8	134	81

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(-.f64 (/.f64 -1/8 x) (-.f64 1/2 x))
(-.f64 x 1/2)
x

Outputs
(+.f64 x (fma.f64 (/.f64 -1 x) (+.f64 1/8 (/.f64 1/16 x)) -1/2))
(-.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 27 to 20 computations (25.9% saved)

soundness251.0ms (9.9%)

Rules

1442×	`log-prod`
1442×	`log-prod`
1298×	`fma-def`
1298×	`fma-def`
890×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 175 to 143 computations (18.3% saved)

end0.0ms (0%)

preprocess34.0ms (1.4%)

Compiler: Compiled 64 to 46 computations (28.1% saved)

analyze2.0ms (0.1%)

sample941.0ms (37%)

preprocess80.0ms (3.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize39.0ms (1.5%)

series2.0ms (0.1%)

rewrite322.0ms (12.7%)

simplify78.0ms (3.1%)

eval13.0ms (0.5%)

prune8.0ms (0.3%)

localize203.0ms (8%)

series2.0ms (0.1%)

rewrite236.0ms (9.3%)

simplify171.0ms (6.7%)

eval90.0ms (3.5%)

prune28.0ms (1.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.5%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify10.0ms (0.4%)

soundness251.0ms (9.9%)

end0.0ms (0%)

preprocess34.0ms (1.4%)

Profiling