Metrics for Rust f64::acosh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample780.0ms (26.6%)

Results

772.0ms

8256×

256

valid

Bogosity

preprocess381.0ms (13%)

Algorithm

1×	egg-herbie

Rules

1134×	`fma-def`
1024×	`sub-neg`
986×	`unsub-neg`
822×	`distribute-neg-in`
774×	`distribute-rgt-out`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
123	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
0	-	-	`x`
0	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`
0	-	-	`(*.f64 x x)`
0	-	-	`1`
0	-	-	`(-.f64 (*.f64 x x) 1)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`	oflow-rescue	123

Confusion

123	0
0	133

Precision

1.0

Recall

1.0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	34	68
2	42	68
3	60	68
4	103	68
5	189	68
6	515	68
7	1228	68
8	3027	68
9	4410	68
10	5510	68
11	5966	68
12	6169	68
13	6243	68
14	6322	68
15	7025	68
16	7848	68

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(acosh.f64 x)
(acosh.f64 (neg.f64 x))
(neg.f64 (acosh.f64 (neg.f64 x)))

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

Compiler

Compiled 90 to 50 computations (44.4% saved)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize52.0ms (1.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	55.2%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite264.0ms (9%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`unpow-prod-down`
922×	`fma-def`
693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
622×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	155	51
2	2057	51

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

simplify123.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

564×	`distribute-lft-in`
560×	`distribute-rgt-in`
540×	`log-prod`
528×	`sqr-pow`
490×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	5894
1	984	5725
2	3176	5387

Stop Event

1×	node limit

Counts

140 → 227

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (hypot.f64 1 x)))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (log.f64 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

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

eval157.0ms (5.4%)

Compiler: Compiled 3940 to 2988 computations (24.2% saved)

prune29.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	224	3	227
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	224	4	228

Accuracy

100.0%

Counts

228 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.2%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	53.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.0%	(log.f64 (+.f64 x x))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize432.0ms (14.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	55.2%	(sqrt.f64 (fma.f64 x x -1))
✓	6.8%	(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	100.0%	(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 70 to 40 computations (42.9% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite121.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`fma-def`
1099×	`log1p-expm1-u`
1099×	`expm1-log1p-u`
332×	`expm1-udef`
332×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	187	72
2	2932	68

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

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

simplify171.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1100×	`times-frac`
994×	`fma-neg`
904×	`distribute-lft-in`
870×	`unswap-sqr`
728×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	7862
1	914	7412
2	2883	7078

Stop Event

1×	node limit

Counts

189 → 250

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 x (*.f64 -1 (sqrt.f64 -1)))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(-.f64 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(*.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(*.f64 1 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 (.f64 x 2) (.f64 x 2) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (.f64 (*.f64 x 2) (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (pow.f64 x 2)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (.f64 (.f64 x 2) (*.f64 x 2)) (pow.f64 (/.f64 1/2 x) 2)) (fma.f64 x 2 (/.f64 1/2 x)))
(pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(fma.f64 x 1 (+.f64 x (/.f64 -1/2 x)))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (+.f64 x (/.f64 -1/2 x)) 1 x)
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(fma.f64 1 (*.f64 x 2) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)) (/.f64 -1/2 x))
(fma.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)) (pow.f64 x 2))) x)
(fma.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 1/2 x) 2)) (/.f64 1 (+.f64 x (/.f64 1/2 x))) x)
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 (.f64 (cbrt.f64 (.f64 x 2)) (cbrt.f64 (.f64 x 2))) (cbrt.f64 (.f64 x 2)) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 (.f64 x 2)) (/.f64 -1/2 x))
(fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) x)
(+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 3)) (fma.f64 x x (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x 1 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 -1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1 (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 x (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) x)
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))

Outputs
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 x (*.f64 -1 (sqrt.f64 -1)))
(+.f64 x (neg.f64 (sqrt.f64 -1)))
(-.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (fma.f64 -1 (sqrt.f64 -1) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (sqrt.f64 -1))))
(+.f64 x (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 (-.f64 x (sqrt.f64 -1)) (/.f64 (*.f64 -1/2 (pow.f64 x 2)) (sqrt.f64 -1)))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(+.f64 x (fma.f64 -1 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 (*.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 x (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (-.f64 x (sqrt.f64 -1)) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
(fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))))
(-.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (fma.f64 x 2 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 -1/16 (pow.f64 x 5)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (*.f64 1/2 (pow.f64 x 2)) (sqrt.f64 -1)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (fma.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))) (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(-.f64 x (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1))))
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) x)
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))

eval149.0ms (5.1%)

Compiler: Compiled 4685 to 3436 computations (26.7% saved)

prune35.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	250	4	254

Accuracy

100.0%

Counts

254 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.2%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	53.5%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.0%	(log.f64 (+.f64 x x))

Compiler

Compiled 65 to 43 computations (33.8% saved)

regimes11.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.3%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
6×	`sub-neg`
4×	`neg-mul-1`
4×	`*-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	16	49
2	23	49
3	27	49
4	30	49
5	31	49

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness120.0ms (4.1%)

Rules

564×	`distribute-lft-in`
560×	`distribute-rgt-in`
540×	`log-prod`
528×	`sqr-pow`
490×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	5894
1	984	5725
2	3176	5387

Stop Event

1×	node limit

Compiler

Compiled 29 to 20 computations (31% saved)

end0.0ms (0%)

preprocess96.0ms (3.3%)

Compiler: Compiled 72 to 50 computations (30.6% saved)

analyze0.0ms (0%)

sample780.0ms (26.6%)

preprocess381.0ms (13%)

eval0.0ms (0%)

prune1.0ms (0%)

localize52.0ms (1.8%)

series4.0ms (0.1%)

rewrite264.0ms (9%)

simplify123.0ms (4.2%)

eval157.0ms (5.4%)

prune29.0ms (1%)

localize432.0ms (14.7%)

series3.0ms (0.1%)

rewrite121.0ms (4.1%)

simplify171.0ms (5.8%)

eval149.0ms (5.1%)

prune35.0ms (1.2%)

regimes11.0ms (0.4%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness120.0ms (4.1%)

end0.0ms (0%)

preprocess96.0ms (3.3%)

Profiling