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)

sample1.1s (28.7%)

Results

1.1s	8256×	body	256	valid
2.0ms	24×	body	256	invalid

Bogosity

preprocess380.0ms (10%)

Algorithm

1×	egg-herbie

Rules

1658×	`fma-def`
1232×	`sub-neg`
1138×	`distribute-lft-out`
866×	`associate-+r+`
724×	`*-commutative`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	224
1	47	216
2	71	216
3	130	216
4	188	216
5	273	216
6	406	216
7	691	216
8	1312	216
9	2187	216
10	4862	216
11	6573	216
12	7342	216
13	7640	216
14	7696	216
15	7728	216
16	7975	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 (-.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))))
(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))))
(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)))))

Compiler

Compiled 122 to 70 computations (42.6% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% 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)

localize70.0ms (1.9%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series6.0ms (0.2%)

Counts

4 → 48

Calls

12 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	@	inf	(sqrt.f64 (-.f64 1 (*.f64 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))

rewrite234.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`log1p-expm1-u`
1032×	`expm1-log1p-u`
840×	`fma-def`
346×	`fma-neg`
322×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	141
1	205	135
2	2938	135

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify132.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

730×	`cancel-sign-sub-inv`
578×	`log-prod`
574×	`fma-def`
454×	`fma-neg`
452×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	480	10509
1	1208	9847
2	4559	9747

Stop Event

1×	node limit

Counts

214 → 350

Calls

Call 1

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

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

eval165.0ms (4.3%)

Compiler: Compiled 7221 to 5915 computations (18.1% saved)

prune376.0ms (9.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	347	3	350
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	347	4	351

Accuracy

100.0%

Counts

351 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.2%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	98.3%	(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
▶	98.5%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.2%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	98.3%	(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))

Compiler

Compiled 92 to 74 computations (19.6% saved)

localize200.0ms (5.3%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	100.0%	(+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
✓	100.0%	(*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))
✓	99.9%	(log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
✓	98.2%	(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))

Compiler

Compiled 127 to 102 computations (19.7% saved)

series62.0ms (1.6%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
21.0ms	x	@	0	(log.f64 (/.f64 2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 2 x))
2.0ms	x	@	-inf	(log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))
1.0ms	x	@	0	(log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))))))

rewrite165.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`log1p-expm1-u`
717×	`expm1-log1p-u`
528×	`expm1-udef`
526×	`log1p-udef`
226×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	182
1	360	178
2	4533	178

Stop Event

1×	node limit

Counts

6 → 175

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))
(log1p.f64 (log.f64 (*.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 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (/.f64 2 x))

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

simplify169.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-neg`
776×	`log-prod`
738×	`fma-def`
512×	`associate-r`
474×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	625	11545
1	1690	10618
2	6512	10526

Stop Event

1×	node limit

Counts

247 → 379

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)))))
(log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))) (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))) 2))))))))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))) 2)))))) (.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))) 3))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))) 2))))))))))
(log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1)))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (sqrt.f64 -1)))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1)))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (sqrt.f64 -1))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))) 2))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1)))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))) 3)))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (+.f64 1 (log.f64 (sqrt.f64 -1)))))) (pow.f64 x 3))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (sqrt.f64 -1)))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))) 2))))))
(log.f64 (+.f64 1 (log.f64 (*.f64 -1 (sqrt.f64 -1)))))
(-.f64 (log.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))))))
(-.f64 (log.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))) 2))))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))) (.f64 -1/6 (/.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))) 3)))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))))) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))) 2))))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (.f64 -1 (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)))))
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 (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 -1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1/192 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 8 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (.f64 64/3 (/.f64 1 (pow.f64 x 6))))))
(+.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 (+.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (log.f64 x))) -1)
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 x)))
(+.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 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2)))) x))))
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(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log1p.f64 (-.f64 (/.f64 2 x) 1))

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 -5/96 (pow.f64 x 6) (*.f64 -3/32 (pow.f64 x 4)))) (log.f64 (/.f64 2 x)))
(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 1 (.f64 x (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 -1/6 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(-.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 1 (.f64 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) (neg.f64 (sqrt.f64 -1))))))
(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 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 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 (+.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 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 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)))))
(log.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))
(log1p.f64 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))) (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))))))
(+.f64 (log1p.f64 (log.f64 (/.f64 2 x))) (*.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (log.f64 (/.f64 2 x))))))
(fma.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (log.f64 (/.f64 2 x)))) (log1p.f64 (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))) 2))))))))
(+.f64 (log1p.f64 (log.f64 (/.f64 2 x))) (fma.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (log.f64 (/.f64 2 x)))) (.f64 (.f64 -1/24 (pow.f64 x 4)) (+.f64 (/.f64 9/4 (+.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 3/4 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (log.f64 (/.f64 2 x)))) (log1p.f64 (log.f64 (/.f64 2 x)))) (.f64 (pow.f64 x 4) (.f64 (+.f64 (/.f64 9/4 (+.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 3/4 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))) -1/24)))
(+.f64 (log.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 9/4 (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))) 2)))))) (.f64 -1/720 (.f64 (pow.f64 x 6) (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))) 3))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))))) (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))) 2))))))))))
(+.f64 (log1p.f64 (log.f64 (/.f64 2 x))) (fma.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (log.f64 (/.f64 2 x)))) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 9/4 (+.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 3/4 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))) (.f64 (*.f64 -1/720 (pow.f64 x 6)) (+.f64 (/.f64 15/4 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 (/.f64 75/2 (+.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 135/8 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 x 2) (+.f64 1 (log.f64 (/.f64 2 x)))) (log1p.f64 (log.f64 (/.f64 2 x)))) (fma.f64 -1/24 (.f64 (pow.f64 x 4) (+.f64 (/.f64 9/4 (+.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 3/4 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)))) (.f64 (+.f64 (/.f64 135/8 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 (/.f64 15/4 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 75/2 (+.f64 1 (log.f64 (/.f64 2 x)))))) (*.f64 (pow.f64 x 6) -1/720))))
(log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))))
(log1p.f64 (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1)))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (sqrt.f64 -1)))))))
(+.f64 (log1p.f64 (log.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 -1) (+.f64 (log.f64 (sqrt.f64 -1)) 1))))
(+.f64 (log1p.f64 (log.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) 1)))
(-.f64 (+.f64 (log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1)))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (sqrt.f64 -1))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))) 2))))))
(+.f64 (log1p.f64 (log.f64 (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 1 x) (.f64 (sqrt.f64 -1) (+.f64 (log.f64 (sqrt.f64 -1)) 1))) (/.f64 1/2 (.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (+.f64 (log.f64 (sqrt.f64 -1)) 1) 2)))))
(+.f64 (log1p.f64 (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) 1)) (/.f64 -1/2 (.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 -1)) 1) 2) (neg.f64 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (log.f64 (sqrt.f64 -1)))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))) 3)))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (+.f64 1 (log.f64 (sqrt.f64 -1)))))) (pow.f64 x 3))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (sqrt.f64 -1)))))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (sqrt.f64 -1))) 2))))))
(+.f64 (log1p.f64 (log.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 (+.f64 (log.f64 (sqrt.f64 -1)) 1) 3))) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (log.f64 (sqrt.f64 -1)) 1))) (pow.f64 x 3)) (/.f64 (/.f64 1 x) (.f64 (sqrt.f64 -1) (+.f64 (log.f64 (sqrt.f64 -1)) 1)))) (/.f64 1/2 (.f64 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (+.f64 (log.f64 (sqrt.f64 -1)) 1) 2)))))
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 2 (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 (+.f64 (log.f64 (sqrt.f64 -1)) 1) 3))) (/.f64 (/.f64 -1 (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) 1))) (pow.f64 x 3)) (/.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) 1))) (+.f64 (log1p.f64 (log.f64 (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (pow.f64 (+.f64 (log.f64 (sqrt.f64 -1)) 1) 2) (neg.f64 (pow.f64 x 2))))))
(log.f64 (+.f64 1 (log.f64 (*.f64 -1 (sqrt.f64 -1)))))
(log1p.f64 (log.f64 (neg.f64 (sqrt.f64 -1))))
(-.f64 (log.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))))))
(-.f64 (log1p.f64 (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))))))
(+.f64 (log1p.f64 (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 -1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1))))))))
(-.f64 (log.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))) 2))))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))))))))
(-.f64 (log1p.f64 (log.f64 (neg.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 (/.f64 1 x) (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))))) (/.f64 1/2 (.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))) 2)))))
(-.f64 (log1p.f64 (log.f64 (neg.f64 (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (.f64 -1 (pow.f64 (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))) 2))) (/.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))) (.f64 -1/6 (/.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))) 3)))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1))))))) (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))) 2))))) (/.f64 1 (.f64 x (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (.f64 -1 (sqrt.f64 -1)))))))))
(+.f64 (log1p.f64 (log.f64 (neg.f64 (sqrt.f64 -1)))) (-.f64 (.f64 -1/6 (/.f64 (-.f64 (/.f64 2 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))) 3))) (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))))) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1 x) (.f64 (sqrt.f64 -1) (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))))) (/.f64 1/2 (.f64 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))) 2))))))
(-.f64 (fma.f64 -1/6 (/.f64 (-.f64 (/.f64 2 (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))) 3))) (/.f64 (/.f64 -1 (sqrt.f64 -1)) (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))))) (pow.f64 x 3)) (log1p.f64 (log.f64 (neg.f64 (sqrt.f64 -1))))) (fma.f64 1/2 (/.f64 (pow.f64 x -2) (.f64 -1 (pow.f64 (+.f64 1 (log.f64 (neg.f64 (sqrt.f64 -1)))) 2))) (/.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 1 (log.f64 (neg.f64 (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)))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (/.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))))
(fma.f64 x -1/2 (fma.f64 (pow.f64 x 3) -1/8 (fma.f64 (pow.f64 x 5) -1/16 (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
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(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 2))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (log.f64 (/.f64 2 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(fabs.f64 (log.f64 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))

eval169.0ms (4.4%)

Compiler: Compiled 7633 to 6440 computations (15.6% saved)

prune52.0ms (1.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	378	1	379
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	379	4	383

Accuracy

100.0%

Counts

383 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	98.5%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.2%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
▶	98.6%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	98.5%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.2%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize37.0ms (1%)

Compiler: Compiled 16 to 12 computations (25% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	98.5%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.2%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 84 to 66 computations (21.4% saved)

regimes52.0ms (1.4%)

Counts

5 → 1

Calls

Call 1

Inputs
(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))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (pow.f64 x 2))))))))

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

Calls

3 calls:

42.0ms	(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 77 to 58 computations (24.7% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(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))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(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
98.6%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	118
1	44	118
2	52	118
3	57	118
4	59	118

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(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))

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

soundness370.0ms (9.7%)

Rules

1020×	`log1p-expm1-u`
888×	`fma-neg`
776×	`log-prod`
738×	`fma-def`
717×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	182
1	360	178
2	4533	178
0	625	11545
1	1690	10618
2	6512	10526

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 50 to 42 computations (16% saved)

end0.0ms (0%)

preprocess48.0ms (1.3%)

Compiler: Compiled 94 to 70 computations (25.5% saved)

analyze4.0ms (0.1%)

sample1.1s (28.7%)

preprocess380.0ms (10%)

eval0.0ms (0%)

prune1.0ms (0%)

localize70.0ms (1.9%)

series6.0ms (0.2%)

rewrite234.0ms (6.2%)

simplify132.0ms (3.5%)

eval165.0ms (4.3%)

prune376.0ms (9.9%)

localize200.0ms (5.3%)

series62.0ms (1.6%)

rewrite165.0ms (4.3%)

simplify169.0ms (4.4%)

eval169.0ms (4.4%)

prune52.0ms (1.4%)

localize37.0ms (1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes52.0ms (1.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

simplify5.0ms (0.1%)

soundness370.0ms (9.7%)

end0.0ms (0%)

preprocess48.0ms (1.3%)

Profiling