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)

sample784.0ms (17.5%)

Results

771.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg`
4×	`fma-def`
4×	`+-commutative`
2×	`*-commutative`
2×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	11	14
2	13	14
3	15	14
4	20	14
5	24	14
6	29	14

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acosh.f64 x)
(acosh.f64 (neg.f64 x))

Outputs
(acosh.f64 x)
(acosh.f64 (neg.f64 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify154.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1668×	`fma-neg`
1246×	`unsub-neg`
1016×	`sub-neg`
834×	`distribute-neg-in`
720×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	21	23
2	25	23
3	40	23
4	81	23
5	157	23
6	366	23
7	764	23
8	2587	23
9	4531	23
10	5856	23
11	6543	23
12	6850	23
13	7040	23
14	7145	23
15	7465	23

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 12 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Accurracy

50.4%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize45.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	99.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	52.5%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite80.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`fma-def`
902×	`log-prod`
770×	`prod-exp`
618×	`pow-prod-down`
496×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	214	55
2	2915	55

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

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

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

simplify93.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

896×	`times-frac`
890×	`distribute-rgt-in`
886×	`distribute-lft-in`
626×	`associate-+r+`
580×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	6303
1	1038	6067
2	2980	5743

Stop Event

1×	node limit

Counts

189 → 283

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.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))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.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 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.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 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (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 (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 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (*.f64 x x) (hypot.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (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) 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)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(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 1/4 (log.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(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 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.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 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -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 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (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 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (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 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (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 (*.f64 x x) (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) (*.f64 x x))) (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 (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 (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 2 (log.f64 (sqrt.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 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)))
(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 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (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))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (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))))
(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 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 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (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 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.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 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (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 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (pow.f64 (E.f64) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (E.f64))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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))) 2) 1/2)
(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)
(pow.f64 (exp.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))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.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))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.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))
(pow.f64 (+.f64 1 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) 1)
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (E.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))
(pow.f64 (pow.f64 (E.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))))))
(pow.f64 (pow.f64 (E.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))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.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)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(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))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 x -1)) x)

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

eval149.0ms (3.3%)

Compiler: Compiled 4762 to 3471 computations (27.1% saved)

prune54.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	277	6	283
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	277	7	284

Accurracy

100.0%

Counts

284 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(+.f64 (log.f64 2) (log.f64 x))
▶	3.6%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	50.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
▶	98.3%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
	38.3%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
▶	98.0%	(log.f64 (+.f64 x x))
▶	98.1%	(+.f64 (log.f64 2) (log.f64 x))
▶	3.6%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	50.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
▶	98.3%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
	38.3%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
▶	98.0%	(log.f64 (+.f64 x x))

Compiler

Compiled 228 to 166 computations (27.2% saved)

localize774.0ms (17.3%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	100.0%	(-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
✓	99.6%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
✓	52.5%	(sqrt.f64 (fma.f64 x x -1))
✓	100.0%	(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	52.5%	(sqrt.f64 (fma.f64 x x -1))
✓	7.5%	(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	99.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	99.6%	(log.f64 (+.f64 x x))
✓	99.6%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Compiler

Compiled 118 to 73 computations (38.1% saved)

series134.0ms (3%)

Counts

10 → 116

Calls

30 calls:

Time	Variable		Point	Expression
45.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
28.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
24.0ms	x	@	0	(log.f64 (+.f64 x x))
17.0ms	x	@	-inf	(log.f64 (+.f64 x x))
8.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))

rewrite135.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`expm1-udef`
752×	`log1p-udef`
502×	`add-sqr-sqrt`
488×	`pow1`
486×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	186
1	535	176
2	7062	176

Stop Event

1×	node limit

Counts

10 → 322

Calls

Call 1

Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

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

simplify174.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

950×	`log-prod`
920×	`fma-def`
488×	`+-commutative`
480×	`exp-prod`
418×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	707	14662
1	1697	13466
2	6517	13466

Stop Event

1×	node limit

Counts

438 → 521

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (*.f64 -1 (sqrt.f64 -1)) x)
(+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 x (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 x (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.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 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.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))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.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 x))))
(log.f64 (neg.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1 (/.f64 x (sqrt.f64 -1))) (log.f64 (neg.f64 (sqrt.f64 -1))))
(+.f64 (.f64 -1 (/.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (.f64 -1 (/.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 -3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 1 x)) (+.f64 (log.f64 1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.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))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.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 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (sqrt.f64 -1) 1)
(-.f64 (+.f64 (sqrt.f64 -1) x) 1)
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)) 1)
(-.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))) 1)
(*.f64 2 x)
(-.f64 (*.f64 2 x) 1)
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
-1
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))) 1)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.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 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (log.f64 (fma.f64 x 2 (+.f64 x x))))
(-.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) (log.f64 (+.f64 (+.f64 x x) (fma.f64 x 2 (+.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
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(log1p.f64 (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 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 (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))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(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) 1/4) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(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))))
(+.f64 0 (log.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 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(*.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 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(*.f64 (cbrt.f64 (pow.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 (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))))))
(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)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(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))
(+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))
(+.f64 x (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) 1))
(+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x -1))
(+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1)
(+.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) x)
(*.f64 1 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))
(*.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 1)
(*.f64 (cbrt.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 2)) (cbrt.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))) (sqrt.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) -1) (/.f64 1 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1) (-.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))) (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) -1) (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) -1) (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (-.f64 1 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) -1) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) -1) (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) -1)) (neg.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) (*.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))) (-.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))
(pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 3))
(expm1.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))
(fma.f64 1 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))
(fma.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x -1)) -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)))) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))
(-.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.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)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 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 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (-.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (fma.f64 x x (+.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 -1 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (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))) 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)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.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 (fma.f64 x x -1) (-.f64 (.f64 x x) (.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 (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 2) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 2)) (-.f64 1 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (fma.f64 x x (-.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (/.f64 1 (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)))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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)
(pow.f64 (exp.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))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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))))))
(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)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (.f64 x (.f64 x -4)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (-.f64 (fma.f64 -4 (.f64 x x) (.f64 -8 (pow.f64 x 4))) (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (*.f64 x x) (fma.f64 -8 (pow.f64 x 4) (fma.f64 -64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (.f64 x x) (-.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 -64/3 (pow.f64 x 6))) (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 (+.f64 x x)) (/.f64 1/32 (pow.f64 x 4))) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
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x
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-1
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(.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.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 (-.f64 (fma.f64 x x -1) (.f64 x (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 (-.f64 (fma.f64 x x -1) (*.f64 x (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 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (fma.f64 x x (+.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (fma.f64 x x -1))))) (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.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 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (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 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(/.f64 -1 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.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)) (fma.f64 x x (-.f64 (fma.f64 x x -1) (*.f64 x (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 (-.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)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (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 (-.f64 (fma.f64 x x -1) (*.f64 x (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 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (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 (-.f64 (fma.f64 x x -1) (*.f64 x (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 (-.f64 (fma.f64 x x -1) (*.f64 x (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 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 2) (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)) 2) (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) (+.f64 (pow.f64 (+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (-.f64 2 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1)) 2)) (-.f64 1 (+.f64 x (+.f64 (sqrt.f64 (fma.f64 x x -1)) -1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)) 2)) (-.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (-.f64 2 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1) (fma.f64 x x (-.f64 (fma.f64 x x -1) (.f64 x (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 (-.f64 (fma.f64 x x -1) (*.f64 x (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 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(/.f64 (/.f64 1 (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 -1 (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.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 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.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 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

eval221.0ms (4.9%)

Compiler: Compiled 9466 to 7046 computations (25.6% saved)

prune86.0ms (1.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	572	3	575
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	573	9	582

Accurracy

100.0%

Counts

582 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(neg.f64 (log.f64 (/.f64 1/2 x)))
✓	3.6%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	50.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
▶	98.0%	(log1p.f64 (-.f64 (+.f64 x x) 1))
✓	98.3%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	38.3%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓	98.0%	(log.f64 (+.f64 x x))
	3.1%	0
▶	98.4%	(neg.f64 (log.f64 (/.f64 1/2 x)))
✓	3.6%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	50.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
▶	98.0%	(log1p.f64 (-.f64 (+.f64 x x) 1))
✓	98.3%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	38.3%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓	98.0%	(log.f64 (+.f64 x x))
	3.1%	0

Compiler

Compiled 142 to 104 computations (26.8% saved)

localize121.0ms (2.7%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 1/2 x))
✓	99.6%	(log1p.f64 (-.f64 (+.f64 x x) 1))
✓	100.0%	(+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
✓	99.8%	(pow.f64 (fma.f64 x x -1) 3/2)
✓	99.6%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓	40.2%	(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))

Compiler

Compiled 71 to 45 computations (36.6% saved)

series56.0ms (1.2%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	x	@	-inf	(log.f64 (/.f64 1/2 x))
11.0ms	x	@	0	(log.f64 (/.f64 1/2 x))
9.0ms	x	@	-inf	(log1p.f64 (-.f64 (+.f64 x x) 1))
7.0ms	x	@	0	(log1p.f64 (-.f64 (+.f64 x x) 1))
6.0ms	x	@	inf	(log1p.f64 (-.f64 (+.f64 x x) 1))

rewrite99.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`log-prod`
1166×	`fma-def`
628×	`fma-neg`
550×	`expm1-udef`
548×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	122
1	401	92
2	5196	92

Stop Event

1×	node limit

Counts

6 → 255

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
(pow.f64 (fma.f64 x x -1) 3/2)
(+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(log1p.f64 (-.f64 (+.f64 x x) 1))
(log.f64 (/.f64 1/2 x))

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

simplify118.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1266×	`times-frac`
1020×	`fma-neg`
672×	`cancel-sign-sub-inv`
558×	`fma-def`
518×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	8463
1	1250	7297
2	3941	6945

Stop Event

1×	node limit

Counts

327 → 363

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.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))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.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 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 3/8 (.f64 (sqrt.f64 -1) (pow.f64 x 4))) (+.f64 (.f64 -3/2 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) (.f64 1/16 (.f64 (sqrt.f64 -1) (pow.f64 x 6))))))
(pow.f64 x 3)
(+.f64 (*.f64 -3/2 x) (pow.f64 x 3))
(+.f64 (.f64 3/8 (/.f64 1 x)) (+.f64 (.f64 -3/2 x) (pow.f64 x 3)))
(+.f64 (.f64 3/8 (/.f64 1 x)) (+.f64 (.f64 -3/2 x) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 3))) (pow.f64 x 3))))
(*.f64 -1 (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 x))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 x)) (*.f64 3/8 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 x 3)) (.f64 3/2 x)) (+.f64 (.f64 3/8 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 3)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.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 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.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 (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 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.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))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)
(sqrt.f64 (fma.f64 x x -1))
(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)))))
(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 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(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 (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 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)))
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (/.f64 1 (-.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 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.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 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (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 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (log.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 (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))))))
(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)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(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))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(+.f64 0 (pow.f64 (fma.f64 x x -1) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(*.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))
(*.f64 1 (pow.f64 (fma.f64 x x -1) 3/2))
(*.f64 (fma.f64 x x -1) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (fma.f64 x x -1) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 3/2))
(.f64 (.f64 (fma.f64 x x -1) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(.f64 (.f64 (fma.f64 x x -1) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (fma.f64 x x -1))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x -1) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (/.f64 (fma.f64 x x -1) (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.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 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (-.f64 (.f64 x x) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.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 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (*.f64 x x) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (.f64 x x) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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)
(pow.f64 (exp.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))))))
(pow.f64 (exp.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))))))
(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))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(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)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)) x)
(fma.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) x)
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log1p.f64 -1) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log1p.f64 3) (log.f64 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 1/4) (log.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 8) (log.f64 (pow.f64 x 3)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (+.f64 x x) 3/2)) (log.f64 (pow.f64 (+.f64 x x) 3/2)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log1p.f64 -1) (log1p.f64 -1))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 1/2) (log.f64 1/2) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 1/2) (log.f64 1/2)) (.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 1/2 x)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(neg.f64 (log.f64 (+.f64 x x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(log.f64 (+.f64 x x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log1p.f64 -1) (neg.f64 (log1p.f64 -1)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 -1)) (cbrt.f64 (log1p.f64 -1))) (cbrt.f64 (log1p.f64 -1)) (neg.f64 (log1p.f64 -1)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 -1)) (sqrt.f64 (log1p.f64 -1)) (neg.f64 (log1p.f64 -1)))
(+.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 (log1p.f64 -1) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (+.f64 x x))))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (+.f64 x x))))
(+.f64 0 (log.f64 (+.f64 x x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log1p.f64 3) (log.f64 (*.f64 x x)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 1/2)) (log.f64 (cbrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (sqrt.f64 1/2)) (log.f64 (sqrt.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (log.f64 1/4) (log.f64 (*.f64 (/.f64 1 x) (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 8) (log.f64 (pow.f64 x 3)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (pow.f64 (+.f64 x x) 3/2)) (log.f64 (pow.f64 (+.f64 x x) 3/2)))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 (+.f64 x x) 1/2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log1p.f64 -1) (log1p.f64 -1))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 0 (log.f64 (+.f64 x x)))
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 1/2) (log.f64 1/2) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 1/2) (log.f64 1/2)) (.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 1/2 x)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(neg.f64 (log.f64 (+.f64 x x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(fma.f64 1 (log1p.f64 -1) (neg.f64 (log1p.f64 -1)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 -1)) (cbrt.f64 (log1p.f64 -1))) (cbrt.f64 (log1p.f64 -1)) (neg.f64 (log1p.f64 -1)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 -1)) (sqrt.f64 (log1p.f64 -1)) (neg.f64 (log1p.f64 -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 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.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))))))
(fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1)) (/.f64 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (/.f64 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.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))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 x (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (-.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x)))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 1/2 (/.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 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 x))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
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(-.f64 (log.f64 -1/2) (log.f64 (neg.f64 x)))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x x)))) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(*.f64 1 (log.f64 (+.f64 x x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(*.f64 (log.f64 (+.f64 x x)) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 1/2) (log.f64 1/2) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 1/2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 1/2) (log.f64 1/2) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log.f64 x) (log.f64 1/2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 1/2) (log.f64 1/2) (.f64 (log.f64 x) (log.f64 (.f64 1/2 x)))))
(/.f64 (-.f64 (.f64 (log.f64 1/2) (log.f64 1/2)) (.f64 (log.f64 x) (log.f64 x))) (log.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (log.f64 (.f64 1/2 x)) (-.f64 (log.f64 1/2) (log.f64 x))) (log.f64 (*.f64 1/2 x)))
(/.f64 (.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (log.f64 (.f64 1/2 x))) (log.f64 (*.f64 1/2 x)))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 3)
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(pow.f64 (pow.f64 (log.f64 (+.f64 x x)) 3) 1/3)
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x x))) 2)
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (+.f64 x x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 2))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x x)) 3))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(exp.f64 (log.f64 (log.f64 (+.f64 x x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x x))) 1))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(log1p.f64 (fma.f64 x 2 -1))
(fma.f64 1 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(fma.f64 1 (log1p.f64 -1) (neg.f64 (log1p.f64 -1)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (+.f64 x x))))
(+.f64 (log.f64 2) (log.f64 1/2))
0
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(fma.f64 (log.f64 (+.f64 x x)) 1 (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(fma.f64 (cbrt.f64 (log.f64 (+.f64 x x))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x x))) 2) (cbrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(fma.f64 (sqrt.f64 (log.f64 (+.f64 x x))) (sqrt.f64 (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(*.f64 2 (log.f64 (+.f64 x x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 1/2)) (cbrt.f64 (log.f64 1/2))) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log1p.f64 -1)) (cbrt.f64 (log1p.f64 -1))) (cbrt.f64 (log1p.f64 -1)) (neg.f64 (log1p.f64 -1)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (+.f64 x x))))
(+.f64 (log.f64 2) (log.f64 1/2))
0
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 2))
(log.f64 (+.f64 x x))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 -1)) (sqrt.f64 (log1p.f64 -1)) (neg.f64 (log1p.f64 -1)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 (/.f64 1 x) (+.f64 x x))))
(+.f64 (log.f64 2) (log.f64 1/2))
0

eval117.0ms (2.6%)

Compiler: Compiled 5286 to 3776 computations (28.6% saved)

prune53.0ms (1.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	363	0	363
Fresh	0	1	1
Picked	0	3	3
Done	0	5	5
Total	363	9	372

Accurracy

100.0%

Counts

372 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(neg.f64 (log.f64 (/.f64 1/2 x)))
✓	3.6%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	50.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
✓	98.0%	(log1p.f64 (-.f64 (+.f64 x x) 1))
✓	98.3%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	38.3%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓	98.0%	(log.f64 (+.f64 x x))
	3.1%	0
✓	98.4%	(neg.f64 (log.f64 (/.f64 1/2 x)))
✓	3.6%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	50.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
✓	98.0%	(log1p.f64 (-.f64 (+.f64 x x) 1))
✓	98.3%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	38.3%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓	98.0%	(log.f64 (+.f64 x x))
	3.1%	0

Compiler

Compiled 142 to 104 computations (26.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	8	8
Total	9	9

Accurracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.4%	(neg.f64 (log.f64 (/.f64 1/2 x)))
✓	3.6%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	50.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
✓	98.0%	(log1p.f64 (-.f64 (+.f64 x x) 1))
✓	98.3%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	38.3%	(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
✓	98.0%	(log.f64 (+.f64 x x))
	3.1%	0

Compiler

Compiled 139 to 99 computations (28.8% saved)

regimes32.0ms (0.7%)

Counts

10 → 2

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log1p.f64 (-.f64 (+.f64 x x) 1))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 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)))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))

Outputs
(log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))))
(neg.f64 (log.f64 (/.f64 1/2 x)))

Calls

3 calls:

10.0ms	x
10.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
9.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
100.0%	2	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 89 to 61 computations (31.5% saved)

regimes36.0ms (0.8%)

Counts

9 → 2

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log1p.f64 (-.f64 (+.f64 x x) 1))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 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)))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

Outputs
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(neg.f64 (log.f64 (/.f64 1/2 x)))

Calls

3 calls:

14.0ms	x
11.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
8.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
100.0%	2	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 79 to 54 computations (31.6% saved)

regimes31.0ms (0.7%)

Counts

8 → 2

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log1p.f64 (-.f64 (+.f64 x x) 1))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 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 (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (/.f64 1/2 x)))

Calls

3 calls:

12.0ms	x
9.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
8.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
100.0%	2	`x`
100.0%	2	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
100.0%	2	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 69 to 47 computations (31.9% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log1p.f64 (-.f64 (+.f64 x x) 1))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(+.f64 (log.f64 2) (log.f64 x))

Outputs
(neg.f64 (log.f64 (/.f64 1/2 x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.4%	1	`x`

Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2786.6122902801853	2199017406.2955055

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7872274379759065e+21	2.0779792856491146e+24

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7872274379759065e+21	2.0779792856491146e+24

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	48	250
2	54	250
3	61	250

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) 5000) (log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))) (neg.f64 (log.f64 (/.f64 1/2 x))))
(if (<=.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) 2000000000000000000000) (log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) (neg.f64 (log.f64 (/.f64 1/2 x))))
(if (<=.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) 1))) 2000000000000000000000) (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) 1)))) (neg.f64 (log.f64 (/.f64 1/2 x))))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
0

Outputs
(if (<=.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) 5000) (log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))) (neg.f64 (log.f64 (/.f64 1/2 x))))
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 5000) (log.f64 (+.f64 x (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)))) (neg.f64 (log.f64 (/.f64 1/2 x))))
(if (<=.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))) 2000000000000000000000) (log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)) (neg.f64 (log.f64 (/.f64 1/2 x))))
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 2000000000000000000000) (log1p.f64 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1)) (neg.f64 (log.f64 (/.f64 1/2 x))))
(if (<=.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) 1))) 2000000000000000000000) (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) 1)))) (neg.f64 (log.f64 (/.f64 1/2 x))))
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) 2000000000000000000000) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (neg.f64 (log.f64 (/.f64 1/2 x))))
(neg.f64 (log.f64 (/.f64 1/2 x)))
(log.f64 (+.f64 x x))
0

Compiler

Compiled 93 to 68 computations (26.9% saved)

soundness798.0ms (17.8%)

Rules

950×	`log-prod`
940×	`fma-def`
940×	`fma-def`
940×	`fma-def`
920×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	214	55
2	2915	55
0	10	55
1	214	55
2	2915	55
0	437	6303
1	1038	6067
2	2980	5743
0	25	186
1	535	176
2	7062	176
0	707	14662
1	1697	13466
2	6517	13466
0	10	55
1	214	55
2	2915	55

Stop Event

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

Compiler

Compiled 571 to 358 computations (37.3% saved)

end0.0ms (0%)

preprocess79.0ms (1.8%)

Compiler: Compiled 222 to 156 computations (29.7% saved)

analyze0.0ms (0%)

sample784.0ms (17.5%)

preprocess15.0ms (0.3%)

simplify154.0ms (3.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize45.0ms (1%)

series4.0ms (0.1%)

rewrite80.0ms (1.8%)

simplify93.0ms (2.1%)

eval149.0ms (3.3%)

prune54.0ms (1.2%)

localize774.0ms (17.3%)

series134.0ms (3%)

rewrite135.0ms (3%)

simplify174.0ms (3.9%)

eval221.0ms (4.9%)

prune86.0ms (1.9%)

localize121.0ms (2.7%)

series56.0ms (1.2%)

rewrite99.0ms (2.2%)

simplify118.0ms (2.6%)

eval117.0ms (2.6%)

prune53.0ms (1.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes32.0ms (0.7%)

regimes36.0ms (0.8%)

regimes31.0ms (0.7%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

soundness798.0ms (17.8%)

end0.0ms (0%)

preprocess79.0ms (1.8%)

Profiling