Metrics for Hyperbolic arc-(co)secant

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.0s (19.8%)

Results

1.0s	8256×	body	256	valid
2.0ms	21×	body	256	invalid

Bogosity

preprocess201.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

632×	`fma-def`
585×	`associate-+r+`
534×	`*-commutative`
505×	`distribute-lft-out`
472×	`associate-+r-`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	49	216
2	78	216
3	131	216
4	229	216
5	311	216
6	497	216
7	922	216
8	1491	216
9	2447	216
10	4981	216
11	7166	216

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 68 to 40 computations (41.2% saved)

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize63.0ms (1.2%)

Localize:

Found 3 expressions with local error:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite232.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`associate-/r*`
476×	`*-commutative`
472×	`associate-/l*`
294×	`distribute-lft-in`
287×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	121
1	202	115
2	2829	115

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

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

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

simplify143.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

443×	`associate-/l*`
392×	`associate-r`
359×	`times-frac`
356×	`associate-l`
327×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	681	18843
1	1984	16922

Stop Event

1×	node limit

Counts

276 → 455

Calls

Call 1

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

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

eval233.0ms (4.5%)

Compiler: Compiled 11403 to 9227 computations (19.1% saved)

prune68.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	450	5	455
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	450	6	456

Accuracy

100.0%

Counts

456 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(-.f64 (log.f64 2) (log.f64 x))
▶	55.1%	(log.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (neg.f64 x) (neg.f64 x))))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
▶	99.4%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.9%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	99.1%	(-.f64 (log.f64 2) (log.f64 x))
▶	55.1%	(log.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (neg.f64 x) (neg.f64 x))))
▶	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
▶	99.4%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.9%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 244 to 184 computations (24.6% saved)

localize230.0ms (4.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))
✓	100.0%	(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
✓	100.0%	(log.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (neg.f64 x) (neg.f64 x))))
✓	56.6%	(/.f64 (+.f64 x (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (neg.f64 x) (neg.f64 x)))
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))
✓	100.0%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	100.0%	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
✓	100.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))

Compiler

Compiled 192 to 133 computations (30.7% saved)

series104.0ms (2%)

Counts

11 → 119

Calls

33 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
21.0ms	x	@	0	(log.f64 (/.f64 2 x))
16.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
15.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
6.0ms	x	@	0	(log.f64 (/.f64 (+.f64 x (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))) (.f64 (neg.f64 x) (neg.f64 x))))

rewrite235.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

249×	`associate-+r+`
223×	`pow1`
221×	`+-commutative`
212×	`add-exp-log`
209×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	383
1	554	337
2	7413	333

Stop Event

1×	node limit

Counts

11 → 442

Calls

Call 1

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

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

simplify377.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

553×	`associate-r`
494×	`associate-l`
381×	`+-commutative`
306×	`associate-/r*`
305×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	962	25367
1	2366	24679

Stop Event

1×	node limit

Counts

561 → 699

Calls

Call 1

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

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

eval293.0ms (5.7%)

Compiler: Compiled 13334 to 9981 computations (25.1% saved)

prune177.0ms (3.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	697	2	699
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	699	6	705

Accuracy

100.0%

Counts

705 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
✓	99.4%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.9%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	3.1%	(log.f64 1)
▶	99.4%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
✓	99.4%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.9%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	3.1%	(log.f64 1)

Compiler

Compiled 102 to 82 computations (19.6% saved)

localize40.0ms (0.8%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	4	4
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	100.0%	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
✓	99.4%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.9%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	3.1%	(log.f64 1)

Compiler

Compiled 121 to 93 computations (23.1% saved)

regimes19.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	x

Results

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

Compiler

Compiled 99 to 72 computations (27.3% saved)

regimes18.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	x

Results

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.9%	1	`x`

Compiler

Compiled 29 to 23 computations (20.7% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(log.f64 1)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes7.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 1)

Outputs
(log.f64 1)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	158
1	54	158
2	66	158
3	73	158
4	76	158

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(log.f64 1)
0

Compiler

Compiled 50 to 40 computations (20% saved)

soundness1.6s (31.2%)

Rules

762×	`associate-/r*`
553×	`associate-r`
553×	`associate-r`
494×	`associate-l`
494×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	121
1	202	115
2	2829	115
0	681	18843
1	1984	16922
0	32	383
1	554	337
2	7413	333
0	962	25367
1	2366	24679
0	32	383
1	554	337
2	7413	333
0	962	25367
1	2366	24679

Stop Event

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

Compiler

Compiled 324 to 258 computations (20.4% saved)

end0.0ms (0%)

preprocess55.0ms (1.1%)

Compiler: Compiled 118 to 90 computations (23.7% saved)

analyze4.0ms (0.1%)

sample1.0s (19.8%)

preprocess201.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize63.0ms (1.2%)

series5.0ms (0.1%)

rewrite232.0ms (4.5%)

simplify143.0ms (2.8%)

eval233.0ms (4.5%)

prune68.0ms (1.3%)

localize230.0ms (4.5%)

series104.0ms (2%)

rewrite235.0ms (4.6%)

simplify377.0ms (7.3%)

eval293.0ms (5.7%)

prune177.0ms (3.4%)

localize40.0ms (0.8%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes19.0ms (0.4%)

regimes18.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0.1%)

simplify6.0ms (0.1%)

soundness1.6s (31.2%)

end0.0ms (0%)

preprocess55.0ms (1.1%)

Profiling