Metrics for Logistic regression 2

analyze146.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

Operation ival-log, time spent: 19.0ms, 37.0% of total-time

Operation ival-exp, time spent: 11.0ms, 21.0% of total-time

Operation ival-mult, time spent: 10.0ms, 19.0% of total-time

Operation ival-add, time spent: 6.0ms, 12.0% of total-time

Operation ival-sub, time spent: 5.0ms, 10.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

sample5.2s (46.6%)

Results

1.7s	7155×	256	valid
2.8s	2670×	8192	exit
166.0ms	677×	256	infinite
67.0ms	221×	512	valid
121.0ms	202×	1024	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

Operation ival-log, time spent: 1.7s, 57.0% of total-time

Operation ival-mult, time spent: 580.0ms, 19.0% of total-time

Operation ival-exp, time spent: 327.0ms, 11.0% of total-time

Operation ival-add, time spent: 211.0ms, 7.0% of total-time

Operation ival-sub, time spent: 163.0ms, 5.0% of total-time

Operation const, time spent: 40.0ms, 1.0% of total-time

Bogosity

preprocess604.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1416×	`times-frac`
1230×	`fma-neg`
878×	`associate-*r/`
788×	`associate-*l/`
774×	`associate-/r*`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(log.f64 (+.f64 1 (exp.f64 x)))`
0	-	-	`x`
0	-	-	`(*.f64 x y)`
0	-	-	`(+.f64 1 (exp.f64 x))`
0	-	-	`(exp.f64 x)`
0	-	-	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`
0	-	-	`y`
0	-	-	`1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	286	210
4	466	210
5	769	210
6	1332	210
7	2734	210
8	7535	210

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

Compiler

Compiled 69 to 38 computations (44.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

Operation ival-log, time spent: 221.0ms, 69.0% of total-time

Operation ival-mult, time spent: 59.0ms, 18.0% of total-time

Operation ival-add, time spent: 18.0ms, 6.0% of total-time

Operation ival-exp, time spent: 14.0ms, 4.0% of total-time

Operation ival-sub, time spent: 5.0ms, 2.0% of total-time

Operation const, time spent: 4.0ms, 1.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize156.0ms (1.4%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.2%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

Operation composed, time spent: 80.0ms, 45.0% of total-time

Operation ival-log, time spent: 67.0ms, 38.0% of total-time

Operation ival-mult, time spent: 8.0ms, 5.0% of total-time

Operation ival-neg, time spent: 7.0ms, 4.0% of total-time

Operation ival-add, time spent: 6.0ms, 3.0% of total-time

Operation ival-exp, time spent: 4.0ms, 2.0% of total-time

Operation ival-sub, time spent: 4.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

series72.0ms (0.6%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	(log1p.f64 (exp.f64 x))
23.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
5.0ms	x	@	-inf	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
4.0ms	y	@	0	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
1.0ms	x	@	0	(log1p.f64 (exp.f64 x))

rewrite320.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`prod-diff`
1208×	`unpow-prod-down`
674×	`log-prod`
638×	`log1p-expm1-u`
638×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	136	54
2	1767	54

Stop Event

1×	node limit

Counts

3 → 237

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))

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

simplify174.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-neg`
720×	`times-frac`
600×	`log-prod`
540×	`associate-r`
510×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	9336
1	1247	9125
2	3872	9050

Stop Event

1×	node limit

Counts

285 → 241

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
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(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log.f64 (+.f64 (exp.f64 x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/2 x (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 1/2 x (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 x) 1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 1/3) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3) (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 3) 1/3))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3/2) 1/3))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 1/3) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 7) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x)))) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (sqrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x (neg.f64 y)) 1))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 x) y (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 -1 (.f64 x y) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (*.f64 x (neg.f64 y)) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 0 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
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eval82.0ms (0.7%)

Compiler: Compiled 5944 to 1972 computations (66.8% saved)

prune45.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	301	4	305
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	302	5	307

Accuracy

99.7%

Counts

307 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	90.2%	(-.f64 (log.f64 2) (*.f64 x y))
▶	99.2%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	86.9%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	49.4%	(*.f64 x (neg.f64 y))

Compiler

Compiled 44 to 32 computations (27.3% saved)

localize527.0ms (4.8%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	100.0%	(log1p.f64 (log1p.f64 (exp.f64 x)))
✓	99.9%	(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
	99.2%	(log1p.f64 (exp.f64 x))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))

Compiler

Compiled 75 to 32 computations (57.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 569.0ms

Operation ival-log, time spent: 226.0ms, 40.0% of total-time

Operation composed, time spent: 188.0ms, 33.0% of total-time

Operation ival-sub, time spent: 105.0ms, 18.0% of total-time

Operation ival-exp, time spent: 17.0ms, 3.0% of total-time

Operation ival-mult, time spent: 15.0ms, 3.0% of total-time

Operation ival-add, time spent: 10.0ms, 2.0% of total-time

Operation const, time spent: 5.0ms, 1.0% of total-time

Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

series85.0ms (0.8%)

Counts

6 → 99

Calls

30 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
18.0ms	x	@	inf	(log1p.f64 (log1p.f64 (exp.f64 x)))
4.0ms	y	@	0	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
4.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
1.0ms	x	@	0	(log1p.f64 (log1p.f64 (exp.f64 x)))

rewrite185.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`fma-define`
996×	`log1p-expm1-u`
995×	`expm1-log1p-u`
590×	`fma-neg`
224×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	129
1	292	125
2	4173	125

Stop Event

1×	node limit

Counts

6 → 316

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))

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

simplify229.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1310×	`times-frac`
1196×	`fma-neg`
692×	`log-prod`
454×	`associate-l`
438×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	17322
1	1385	16020
2	4612	16020

Stop Event

1×	node limit

Counts

415 → 388

Calls

Call 1

Inputs
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2))))))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
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(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log.f64 2))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 (neg.f64 y) x (log.f64 2))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 y) x (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(fma.f64 (neg.f64 x) y (log.f64 2))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 y))) (cbrt.f64 (.f64 x (neg.f64 y)))) (cbrt.f64 (.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))

Outputs
(log.f64 2)
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2)))
(+.f64 (log.f64 2) (fma.f64 x 1/2 (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x 1/2))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x 1/2 (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (log.f64 2)))
(log1p.f64 (log.f64 2))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))
(+.f64 (log1p.f64 (log.f64 2)) (*.f64 1/2 (/.f64 x (+.f64 (log.f64 2) 1))))
(fma.f64 1/2 (/.f64 x (+.f64 (log.f64 2) 1)) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2))))))
(+.f64 (log1p.f64 (log.f64 2)) (.f64 1/2 (+.f64 (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (/.f64 x (+.f64 (log.f64 2) 1)))))
(fma.f64 1/2 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 x (+.f64 (log.f64 2) 1))) (log1p.f64 (log.f64 2)))
(+.f64 (log.f64 (+.f64 1 (log.f64 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 3))) (.f64 3/8 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/4 (/.f64 1 (+.f64 1 (log.f64 2)))) (.f64 1/4 (/.f64 1 (pow.f64 (+.f64 1 (log.f64 2)) 2)))))) (*.f64 1/2 (/.f64 x (+.f64 1 (log.f64 2)))))))
(+.f64 (log1p.f64 (log.f64 2)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (-.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (.f64 1/2 (+.f64 (*.f64 (pow.f64 x 2) (-.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2)))) (/.f64 x (+.f64 (log.f64 2) 1))))))
(+.f64 (log1p.f64 (log.f64 2)) (fma.f64 1/2 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 x (+.f64 (log.f64 2) 1))) (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 -3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2)))))))
(+.f64 (log1p.f64 (log.f64 2)) (fma.f64 1/2 (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (+.f64 (log.f64 2) 1)) (/.f64 -1/4 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (/.f64 x (+.f64 (log.f64 2) 1))) (.f64 (+.f64 (/.f64 1/4 (pow.f64 (+.f64 (log.f64 2) 1) 3)) (/.f64 -3/8 (pow.f64 (+.f64 (log.f64 2) 1) 2))) (.f64 1/6 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (log.f64 (+.f64 1 (exp.f64 x)))))
(log1p.f64 (log1p.f64 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (fma.f64 x (-.f64 1/2 y) (*.f64 1/8 (pow.f64 x 2))))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 4) (fma.f64 1/8 (pow.f64 x 2) (*.f64 x (-.f64 1/2 y)))))
(+.f64 (fma.f64 -1/192 (pow.f64 x 4) (*.f64 1/8 (pow.f64 x 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))
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(fma.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) 2) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) 2) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) 2) (cbrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (neg.f64 (cbrt.f64 (.f64 x y))) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (neg.f64 y)))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (.f64 (.f64 x (neg.f64 y)) 1))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (sqrt.f64 (fma.f64 y (neg.f64 x) (log.f64 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(+.f64 (fma.f64 (neg.f64 y) x (*.f64 x y)) (fma.f64 y (neg.f64 x) (log.f64 2)))
(+.f64 (.f64 0 (.f64 x y)) (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (sqrt.f64 (.f64 x y)) (neg.f64 (sqrt.f64 (.f64 x y))) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2))))
(fma.f64 (neg.f64 y) x (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 x) y (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (.f64 x (neg.f64 y)) 1 (*.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2))))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (.f64 x y)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x y) 2)) (/.f64 1 (fma.f64 x y (log.f64 2))) (fma.f64 (neg.f64 y) x (.f64 x y)))
(+.f64 (.f64 0 (.f64 x y)) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2))))
(fma.f64 (neg.f64 x) y (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 y))) (cbrt.f64 (.f64 x (neg.f64 y)))) (cbrt.f64 (.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 y))) (sqrt.f64 (.f64 x (neg.f64 y))) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (.f64 0 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 x) y (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (.f64 0 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (.f64 x (neg.f64 y)) 1 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (.f64 0 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (.f64 0 (.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)) (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (fma.f64 (neg.f64 y) x (*.f64 x y)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (.f64 x y))) (.f64 0 (.f64 x y)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2)) (cbrt.f64 (.f64 x y)) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) 1) y (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y) (log.f64 2))
(fma.f64 x (neg.f64 y) (log.f64 2))

eval214.0ms (1.9%)

Compiler: Compiled 8009 to 3916 computations (51.1% saved)

prune133.0ms (1.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	448	4	452
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	449	8	457

Accuracy

99.7%

Counts

457 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.2%	(-.f64 (log.f64 2) (*.f64 x y))
✓	99.2%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
▶	52.2%	(+.f64 (log.f64 2) (*.f64 x 1/2))
▶	42.9%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
▶	37.2%	(*.f64 x (-.f64 1/2 y))
✓	49.4%	(*.f64 x (neg.f64 y))
▶	51.6%	(log.f64 2)

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize270.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	100.0%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
✓	97.0%	(log.f64 (*.f64 x (-.f64 1/2 y)))
✓	96.5%	(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))

Compiler

Compiled 68 to 49 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

Operation ival-log, time spent: 160.0ms, 80.0% of total-time

Operation ival-mult, time spent: 14.0ms, 7.0% of total-time

Operation ival-sub, time spent: 11.0ms, 6.0% of total-time

Operation ival-exp, time spent: 8.0ms, 4.0% of total-time

Operation ival-add, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 3.0ms, 2.0% of total-time

series179.0ms (1.6%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
120.0ms	y	@	0	(log.f64 (*.f64 x (-.f64 1/2 y)))
17.0ms	x	@	0	(log.f64 (*.f64 x (-.f64 1/2 y)))
16.0ms	x	@	-inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
15.0ms	x	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))
1.0ms	y	@	inf	(log.f64 (*.f64 x (-.f64 1/2 y)))

rewrite301.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`log1p-expm1-u`
1182×	`expm1-log1p-u`
964×	`fma-define`
458×	`fma-neg`
164×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
1	227	83
2	3157	83

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

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

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

simplify215.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

854×	`cancel-sign-sub-inv`
706×	`times-frac`
570×	`log-prod`
518×	`associate-+r+`
512×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	7556
1	965	7385
2	2962	7341

Stop Event

1×	node limit

Counts

266 → 251

Calls

Call 1

Inputs
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (.f64 1/2 x)) (.f64 -2 y))
(+.f64 (log.f64 (.f64 1/2 x)) (+.f64 (.f64 -2 y) (*.f64 -2 (pow.f64 y 2))))
(+.f64 (log.f64 (.f64 1/2 x)) (+.f64 (.f64 -8/3 (pow.f64 y 3)) (+.f64 (.f64 -2 y) (.f64 -2 (pow.f64 y 2)))))
(+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (.f64 1/2 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (.f64 1/2 (/.f64 1 y)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(.f64 -1 (.f64 x y))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 x 1/2) (.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(.f64 1 (.f64 x (-.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (.f64 (cbrt.f64 (-.f64 1/2 y)) x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (-.f64 1/2 y)))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (sqrt.f64 (-.f64 1/2 y)) (.f64 (sqrt.f64 (-.f64 1/2 y)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 1/2 y)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)))
(.f64 (.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 x (-.f64 1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x (neg.f64 y)))
(fma.f64 x 1/2 (*.f64 (neg.f64 y) x))
(fma.f64 1/2 x (*.f64 x (neg.f64 y)))
(fma.f64 1/2 x (*.f64 (neg.f64 y) x))
(fma.f64 (.f64 x 1/2) 1 (.f64 x (neg.f64 y)))
(fma.f64 (.f64 x 1/2) 1 (.f64 (neg.f64 y) x))
(fma.f64 1 (.f64 x 1/2) (.f64 x (neg.f64 y)))
(fma.f64 1 (.f64 x 1/2) (.f64 (neg.f64 y) x))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 x (neg.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x (neg.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 (neg.f64 y) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x (neg.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 (neg.f64 y) x))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x (neg.f64 y)))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (neg.f64 y) x))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (neg.f64 y)))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 y) x))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 0 (log.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))))
(+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (-.f64 1/2 y)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(.f64 1 (log.f64 (.f64 x (-.f64 1/2 y))))
(.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1)
(.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)) (neg.f64 (*.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (-.f64 1/2 y)))) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (fma.f64 x (-.f64 1/2 y) -1))
(exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1))
(fma.f64 (log.f64 x) 1 (*.f64 (log.f64 (-.f64 1/2 y)) 1))
(fma.f64 1 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(fma.f64 1 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 (-.f64 1/2 y))) (cbrt.f64 (log.f64 (-.f64 1/2 y)))) (cbrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (log.f64 (-.f64 1/2 y))) (sqrt.f64 (log.f64 (-.f64 1/2 y))) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) (/.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(*.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(*.f64 1 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2) (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (*.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (/.f64 1 (-.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3)) (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (log.f64 2) x) (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2)) (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (-.f64 1/2 y)) 3) (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (.f64 x (-.f64 1/2 y)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x (-.f64 1/2 y)) 2))) (neg.f64 (-.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (-.f64 1/2 y) (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (-.f64 1/2 y) (log.f64 2))) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (-.f64 1/2 y) x (log.f64 2))
(fma.f64 (*.f64 x (-.f64 1/2 y)) 1 (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 1 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2) (*.f64 (cbrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (.f64 x (-.f64 1/2 y))) (log.f64 2))
(fma.f64 (sqrt.f64 (-.f64 1/2 y)) (*.f64 (sqrt.f64 (-.f64 1/2 y)) x) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (-.f64 1/2 y)) 2)) (cbrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 (-.f64 1/2 y))) (sqrt.f64 (-.f64 1/2 y)) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 (-.f64 1/2 y) (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 -1/2 x))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 (log.f64 2) x) 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (log.f64 2) 3))) (neg.f64 (fma.f64 (*.f64 x 1/2) (fma.f64 x 1/2 (neg.f64 (log.f64 2))) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (+.f64 (log.f64 2) (.f64 -1/2 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/4) (pow.f64 (log.f64 2) 2)) (fma.f64 x 1/2 (neg.f64 (log.f64 2))))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 x) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x 1/2))
(fma.f64 (*.f64 x 1/2) 1 (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))

Outputs
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (.f64 -1 (-.f64 1/2 y))) (.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 (neg.f64 (-.f64 1/2 y))) (log.f64 (/.f64 -1 x)))
(-.f64 (log.f64 (+.f64 y -1/2)) (log.f64 (/.f64 -1 x)))
(log.f64 (*.f64 1/2 x))
(log.f64 (*.f64 x 1/2))
(+.f64 (log.f64 (.f64 1/2 x)) (.f64 -2 y))
(+.f64 (log.f64 (.f64 x 1/2)) (.f64 y -2))
(fma.f64 y -2 (log.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (.f64 1/2 x)) (+.f64 (.f64 -2 y) (*.f64 -2 (pow.f64 y 2))))
(+.f64 (log.f64 (.f64 x 1/2)) (.f64 -2 (+.f64 y (pow.f64 y 2))))
(fma.f64 -2 (+.f64 y (pow.f64 y 2)) (log.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 (.f64 1/2 x)) (+.f64 (.f64 -8/3 (pow.f64 y 3)) (+.f64 (.f64 -2 y) (.f64 -2 (pow.f64 y 2)))))
(+.f64 (log.f64 (.f64 x 1/2)) (fma.f64 -8/3 (pow.f64 y 3) (.f64 -2 (+.f64 y (pow.f64 y 2)))))
(+.f64 (log.f64 (.f64 x 1/2)) (fma.f64 -2 (+.f64 y (pow.f64 y 2)) (.f64 -8/3 (pow.f64 y 3))))
(+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 y))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 1/2 (/.f64 1 y)))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1/2 y)))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 y) (/.f64 -1/2 y)))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (.f64 1/2 (/.f64 1 y))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))))
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (+.f64 (log.f64 y) (/.f64 -1/2 y)) (/.f64 -1/8 (pow.f64 y 2))))
(-.f64 (+.f64 (log.f64 (.f64 -1 x)) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2))) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 (neg.f64 x)) (-.f64 (-.f64 (log.f64 y) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))) (/.f64 1/24 (pow.f64 y 3))))
(+.f64 (log.f64 y) (+.f64 (+.f64 (-.f64 (log.f64 (neg.f64 x)) (/.f64 1/8 (pow.f64 y 2))) (/.f64 -1/2 y)) (/.f64 -1/24 (pow.f64 y 3))))
(+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))
(+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))
(-.f64 (log.f64 x) (log.f64 (/.f64 -1 y)))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (.f64 1/2 (/.f64 1 y)))
(+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1/2 y)))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 -1/2 y))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))))
(+.f64 (-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (/.f64 1/8 (pow.f64 y 2))) (/.f64 -1/2 y))
(-.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y)))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2))) (/.f64 1/24 (pow.f64 y 3)))))
(-.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2))) (/.f64 1/24 (pow.f64 y 3))))
(+.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 -1/2 y) (+.f64 (/.f64 -1/8 (pow.f64 y 2)) (/.f64 -1/24 (pow.f64 y 3)))))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 x 1/2 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(log.f64 2)
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(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 (*.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))

eval95.0ms (0.9%)

Compiler: Compiled 3774 to 2902 computations (23.1% saved)

prune38.0ms (0.3%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	249	2	251
Fresh	0	0	0
Picked	1	3	4
Done	0	4	4
Total	250	9	259

Accuracy

99.7%

Counts

259 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.2%	(-.f64 (log.f64 2) (*.f64 x y))
✓	99.2%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	52.2%	(+.f64 (log.f64 2) (*.f64 x 1/2))
▶	27.7%	(+.f64 (log.f64 2) (exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))
▶	27.8%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
✓	37.2%	(*.f64 x (-.f64 1/2 y))
✓	49.4%	(*.f64 x (neg.f64 y))
✓	51.6%	(log.f64 2)

Compiler

Compiled 84 to 62 computations (26.2% saved)

localize182.0ms (1.6%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.8%	(cbrt.f64 (log.f64 x))
✓	99.7%	(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))
✓	99.7%	(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
✓	97.6%	(exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y))))
✓	100.0%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
✓	97.6%	(exp.f64 (log.f64 (*.f64 x 1/2)))

Compiler

Compiled 103 to 52 computations (49.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

Operation ival-log, time spent: 58.0ms, 51.0% of total-time

Operation ival-mult, time spent: 16.0ms, 14.0% of total-time

Operation composed, time spent: 11.0ms, 10.0% of total-time

Operation ival-sub, time spent: 10.0ms, 9.0% of total-time

Operation ival-exp, time spent: 8.0ms, 7.0% of total-time

Operation ival-add, time spent: 7.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 2.0ms, 2.0% of total-time

series142.0ms (1.3%)

Counts

6 → 96

Calls

24 calls:

Time	Variable		Point	Expression
50.0ms	y	@	0	(exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y))))
24.0ms	x	@	0	(exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y))))
18.0ms	x	@	-inf	(exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y))))
9.0ms	y	@	-inf	(exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y))))
9.0ms	x	@	inf	(exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y))))

rewrite154.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`prod-diff`
804×	`log1p-expm1-u`
804×	`expm1-log1p-u`
182×	`associate-r`
123×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	118
1	287	98
2	3451	98

Stop Event

1×	node limit

Counts

6 → 146

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 x 1/2)))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
(exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y))))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))
(*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))
(cbrt.f64 (log.f64 x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)
(*.f64 x 1/2)
(*.f64 x (exp.f64 (log.f64 1/2)))
(*.f64 1/2 x)
(.f64 (.f64 x 1/2) 1)
(.f64 1 (.f64 x 1/2))
(.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2))
(.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2))
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x 1/2) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/8) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/2)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x 1/2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x 1/2))) 2)) (cbrt.f64 (log.f64 (.f64 x 1/2))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x 1/2)))) (sqrt.f64 (log.f64 (.f64 x 1/2))))
(sqrt.f64 (pow.f64 (*.f64 x 1/2) 2))
(log.f64 (pow.f64 (exp.f64 1/2) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/2))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/8))
(expm1.f64 (log1p.f64 (*.f64 x 1/2)))
(log1p.f64 (expm1.f64 (*.f64 x 1/2)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (+.f64 (log.f64 2) (.f64 -1/2 x))) (/.f64 (pow.f64 (.f64 x 1/2) 2) (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(*.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(*.f64 1 (fma.f64 x 1/2 (log.f64 2)))
(*.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2) (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))))
(.f64 (+.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 3) 1/8)) (/.f64 1 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (*.f64 x 1/2) (log.f64 2))))))
(.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2)))) (+.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 (log.f64 2) (.f64 -1/2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 3) 1/8)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (log.f64 2)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2)) (+.f64 (log.f64 2) (.f64 -1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (.f64 (pow.f64 x 3) 1/8))) (neg.f64 (+.f64 (pow.f64 (log.f64 2) 2) (.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (log.f64 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (.f64 x 1/2) 2))) (neg.f64 (+.f64 (log.f64 2) (.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (.f64 x 1/2) (log.f64 2)))
(pow.f64 (fma.f64 x 1/2 (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 (log.f64 2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 2))
(log.f64 (*.f64 2 (pow.f64 (exp.f64 1/2) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 (log.f64 2)))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 (log.f64 2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 (log.f64 2))))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 (log.f64 2))) 1))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (*.f64 x 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (log.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(*.f64 x (-.f64 1/2 y))
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(.f64 1 (.f64 x (-.f64 1/2 y)))
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(log.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(+.f64 0 (log.f64 (*.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1)
(.f64 1 (log.f64 (.f64 x (-.f64 1/2 y))))
(.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (-.f64 1/2 y)) 2)) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (+.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log1p.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1)
(pow.f64 (log.f64 x) 2/3)
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 x)) 1)
(*.f64 1 (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (cbrt.f64 (log.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(fabs.f64 (cbrt.f64 (log.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 1))

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

646×	`distribute-rgt-in`
644×	`distribute-lft-in`
562×	`associate-+l+`
544×	`cancel-sign-sub-inv`
522×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	6694
1	870	5943
2	2753	5803

Stop Event

1×	node limit

Counts

242 → 245

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
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(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 x)) 1)
(*.f64 1 (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(pow.f64 (log.f64 x) 1/3)
(pow.f64 (cbrt.f64 (log.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(fabs.f64 (cbrt.f64 (log.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 1))

Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 1/2 x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1/2 x)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))
(.f64 -1 (.f64 (-.f64 1/2 y) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 x))))))
(neg.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (/.f64 -1 x) -1)))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))
(.f64 -1 (.f64 (-.f64 1/2 y) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 x))))))
(neg.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (/.f64 -1 x) -1)))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))
(.f64 -1 (.f64 (-.f64 1/2 y) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 x))))))
(neg.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (/.f64 -1 x) -1)))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x))))))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x)))))
(.f64 -1 (.f64 (-.f64 1/2 y) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 x))))))
(neg.f64 (*.f64 (-.f64 1/2 y) (pow.f64 (/.f64 -1 x) -1)))
(exp.f64 (+.f64 (log.f64 1/2) (log.f64 x)))
(*.f64 1/2 x)
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (log.f64 x))) (.f64 -2 (.f64 y (exp.f64 (+.f64 (log.f64 1/2) (log.f64 x))))))
(+.f64 (.f64 1/2 (exp.f64 (log.f64 x))) (.f64 -2 (.f64 y (.f64 1/2 (exp.f64 (log.f64 x))))))
(.f64 (+.f64 (.f64 y -2) 1) (*.f64 1/2 x))
(.f64 (.f64 1/2 x) (+.f64 (*.f64 y -2) 1))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (log.f64 x))) (.f64 -2 (.f64 y (exp.f64 (+.f64 (log.f64 1/2) (log.f64 x))))))
(+.f64 (.f64 1/2 (exp.f64 (log.f64 x))) (.f64 -2 (.f64 y (.f64 1/2 (exp.f64 (log.f64 x))))))
(.f64 (+.f64 (.f64 y -2) 1) (*.f64 1/2 x))
(.f64 (.f64 1/2 x) (+.f64 (*.f64 y -2) 1))
(+.f64 (exp.f64 (+.f64 (log.f64 1/2) (log.f64 x))) (.f64 -2 (.f64 y (exp.f64 (+.f64 (log.f64 1/2) (log.f64 x))))))
(+.f64 (.f64 1/2 (exp.f64 (log.f64 x))) (.f64 -2 (.f64 y (.f64 1/2 (exp.f64 (log.f64 x))))))
(.f64 (+.f64 (.f64 y -2) 1) (*.f64 1/2 x))
(.f64 (.f64 1/2 x) (+.f64 (*.f64 y -2) 1))
(exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))))
(.f64 -1 (.f64 x (exp.f64 (log.f64 y))))
(neg.f64 (*.f64 x y))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y)))))) (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)))
(+.f64 (exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y)))
(fma.f64 -1 (.f64 x (exp.f64 (log.f64 y))) (/.f64 (.f64 1/2 (*.f64 x (exp.f64 (log.f64 y)))) y))
(fma.f64 -1 (.f64 x y) (/.f64 (.f64 1/2 (*.f64 x y)) y))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y)))))) (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)))
(+.f64 (exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y)))
(fma.f64 -1 (.f64 x (exp.f64 (log.f64 y))) (/.f64 (.f64 1/2 (*.f64 x (exp.f64 (log.f64 y)))) y))
(fma.f64 -1 (.f64 x y) (/.f64 (.f64 1/2 (*.f64 x y)) y))
(+.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y)))))) (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y)))))) y)))
(+.f64 (exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y))))) y)))
(fma.f64 -1 (.f64 x (exp.f64 (log.f64 y))) (/.f64 (.f64 1/2 (*.f64 x (exp.f64 (log.f64 y)))) y))
(fma.f64 -1 (.f64 x y) (/.f64 (.f64 1/2 (*.f64 x y)) y))
(exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y)))))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y)))))
(*.f64 x (pow.f64 (/.f64 -1 y) -1))
(/.f64 x (/.f64 -1 y))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y))))) (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))) y)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) y)))
(fma.f64 x (pow.f64 (/.f64 -1 y) -1) (.f64 -1/2 (.f64 x (/.f64 (pow.f64 (/.f64 -1 y) -1) y))))
(fma.f64 -1/2 (/.f64 (/.f64 x (/.f64 -1 y)) y) (/.f64 x (/.f64 -1 y)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y))))) (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))) y)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) y)))
(fma.f64 x (pow.f64 (/.f64 -1 y) -1) (.f64 -1/2 (.f64 x (/.f64 (pow.f64 (/.f64 -1 y) -1) y))))
(fma.f64 -1/2 (/.f64 (/.f64 x (/.f64 -1 y)) y) (/.f64 x (/.f64 -1 y)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 -1 y))))) (.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 -1 y))))) y)))
(+.f64 (exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) (*.f64 -1/2 (/.f64 (exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (/.f64 -1 y))))) y)))
(fma.f64 x (pow.f64 (/.f64 -1 y) -1) (.f64 -1/2 (.f64 x (/.f64 (pow.f64 (/.f64 -1 y) -1) y))))
(fma.f64 -1/2 (/.f64 (/.f64 x (/.f64 -1 y)) y) (/.f64 x (/.f64 -1 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 (-.f64 1/2 y)) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 (-.f64 1/2 y))) (neg.f64 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/2) (log.f64 x))
(log.f64 (*.f64 1/2 x))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (*.f64 -2 y)))
(+.f64 (log.f64 (.f64 1/2 x)) (.f64 y -2))
(+.f64 (log.f64 1/2) (fma.f64 y -2 (log.f64 x)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (.f64 -2 y) (.f64 -2 (pow.f64 y 2)))))
(+.f64 (log.f64 (.f64 1/2 x)) (.f64 -2 (+.f64 y (pow.f64 y 2))))
(+.f64 (log.f64 1/2) (fma.f64 -2 (+.f64 y (pow.f64 y 2)) (log.f64 x)))
(+.f64 (log.f64 (.f64 1/2 x)) (.f64 (+.f64 y 1) (*.f64 y -2)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 x) (+.f64 (.f64 -8/3 (pow.f64 y 3)) (+.f64 (.f64 -2 y) (*.f64 -2 (pow.f64 y 2))))))
(+.f64 (log.f64 (.f64 1/2 x)) (fma.f64 -8/3 (pow.f64 y 3) (.f64 -2 (+.f64 y (pow.f64 y 2)))))
(+.f64 (log.f64 (.f64 1/2 x)) (fma.f64 -2 (+.f64 y (pow.f64 y 2)) (.f64 -8/3 (pow.f64 y 3))))
(+.f64 (log.f64 (.f64 1/2 x)) (fma.f64 -8/3 (pow.f64 y 3) (.f64 (+.f64 y 1) (*.f64 y -2))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 x) (*.f64 -1 (log.f64 (/.f64 1 y)))))
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(+.f64 (log.f64 x) (+.f64 (log.f64 y) (log.f64 -1)))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1) (log.f64 y)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 1/2 (/.f64 1 y)))
(-.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))) (/.f64 1/2 y))
(+.f64 (+.f64 (log.f64 x) (log.f64 y)) (-.f64 (log.f64 -1) (/.f64 1/2 y)))
(+.f64 (log.f64 x) (+.f64 (log.f64 y) (-.f64 (log.f64 -1) (/.f64 1/2 y))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (*.f64 1/2 (/.f64 1 y))))
(-.f64 (+.f64 (+.f64 (log.f64 -1) (log.f64 x)) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2))))
(+.f64 (+.f64 (log.f64 x) (log.f64 y)) (-.f64 (log.f64 -1) (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 y) (-.f64 (/.f64 -1/8 (pow.f64 y 2)) (/.f64 1/2 y))) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 x) (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 y 3))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 y 2))) (.f64 1/2 (/.f64 1 y)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 x) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (+.f64 (/.f64 1/2 y) (/.f64 1/8 (pow.f64 y 2))) (/.f64 1/24 (pow.f64 y 3)))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 x) (log.f64 y)) (+.f64 (/.f64 1/2 y) (+.f64 (/.f64 1/8 (pow.f64 y 2)) (/.f64 1/24 (pow.f64 y 3))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y)))) 1)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(*.f64 x (-.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(.f64 (.f64 x (-.f64 1/2 y)) 1)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(.f64 1 (.f64 x (-.f64 1/2 y)))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) (pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 2))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2) (cbrt.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y))) (sqrt.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (*.f64 x (-.f64 1/2 y)) 1)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 1/2 y))) 3)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3) 1/3)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 1/2 y))) 2)
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 2))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(log.f64 (exp.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 1/2 y)))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 1/2 y)) 3))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 x) (log.f64 (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 0 (log.f64 (*.f64 x (-.f64 1/2 y))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y))) 2)) (log.f64 (cbrt.f64 (.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))) (log.f64 (sqrt.f64 (.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y))))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (log.f64 (.f64 x (-.f64 1/2 y))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 1 (log.f64 (.f64 x (-.f64 1/2 y))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 2) (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 (-.f64 1/2 y)) 2) (*.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (-.f64 1/2 y)) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (-.f64 1/2 y)) (-.f64 (log.f64 (-.f64 1/2 y)) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 (-.f64 1/2 y)) 2)) (-.f64 (log.f64 x) (log.f64 (-.f64 1/2 y))))
(pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 1)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 3)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))) 2)
(log.f64 (*.f64 x (-.f64 1/2 y)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 2))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log.f64 (+.f64 1 (-.f64 (*.f64 x (-.f64 1/2 y)) 1)))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x (-.f64 1/2 y))) 3))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(log1p.f64 (-.f64 (*.f64 x (-.f64 1/2 y)) 1))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (log.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (-.f64 1/2 y)))) 1))
(log.f64 (*.f64 x (-.f64 1/2 y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(+.f64 0 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(pow.f64 (log.f64 x) 2/3)
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(pow.f64 (pow.f64 (log.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3)
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(cbrt.f64 (pow.f64 (log.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(+.f64 0 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 2))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 x)))) 1))
(pow.f64 (cbrt.f64 (log.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 x)))) 1)
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))
(+.f64 0 (cbrt.f64 (log.f64 x)))
(*.f64 (cbrt.f64 (log.f64 x)) 1)
(cbrt.f64 (log.f64 x))
(*.f64 1 (cbrt.f64 (log.f64 x)))
(cbrt.f64 (log.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 x))))
(*.f64 (pow.f64 (log.f64 x) 1/6) (pow.f64 (log.f64 x) 1/6))
(cbrt.f64 (log.f64 x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 x)))
(cbrt.f64 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) 1/3) (pow.f64 (sqrt.f64 (log.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 x))) (cbrt.f64 (sqrt.f64 (log.f64 x))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(pow.f64 (log.f64 x) 1/3)
(cbrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (log.f64 x)) 1)
(cbrt.f64 (log.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1/2)
(cbrt.f64 (log.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 x))) 3)
(cbrt.f64 (log.f64 x))
(pow.f64 (pow.f64 (log.f64 x) 1/6) 2)
(cbrt.f64 (log.f64 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))
(cbrt.f64 (log.f64 x))
(fabs.f64 (cbrt.f64 (log.f64 x)))
(cbrt.f64 (log.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 x)))))
(cbrt.f64 (log.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 x))))
(+.f64 0 (cbrt.f64 (log.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 x))))
(cbrt.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1/3))
(cbrt.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 x))) 1))
(cbrt.f64 (log.f64 x))

eval101.0ms (0.9%)

Compiler: Compiled 5484 to 3756 computations (31.5% saved)

prune59.0ms (0.5%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	304	3	307
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	305	11	316

Accuracy

99.7%

Counts

316 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	90.2%	(-.f64 (log.f64 2) (*.f64 x y))
✓	99.2%	(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
✓	52.2%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	27.7%	(+.f64 (log.f64 2) (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))
	27.7%	(+.f64 (log.f64 2) (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))
	27.7%	(+.f64 (log.f64 2) (exp.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))
✓	27.8%	(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
✓	37.2%	(*.f64 x (-.f64 1/2 y))
✓	49.4%	(*.f64 x (neg.f64 y))
✓	51.6%	(log.f64 2)

Compiler

Compiled 283 to 192 computations (32.2% saved)

regimes27.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 1/2 y))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 2) (exp.f64 (log.f64 (*.f64 x (-.f64 1/2 y)))))
(-.f64 (expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) (*.f64 x y))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))
(+.f64 (log.f64 2) (exp.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) 3) (cbrt.f64 (log.f64 x)) (log.f64 (-.f64 1/2 y)))))

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Calls

3 calls:

10.0ms	y
10.0ms	x
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes17.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

7.0ms	y
6.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes16.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
99.3%	2	`x`
90.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	y
12.0ms	x

Results

Accuracy	Segments	Branch
76.2%	5	`y`
80.6%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
80.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -8.1b remaining (-25%)

Threshold costs -8.1b (-25%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
49.4%	1	`y`
49.4%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-5610475.108953563	-0.0018160460265301075

Results

20.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-log, time spent: 3.0ms, 32.0% of total-time

Operation ival-exp, time spent: 2.0ms, 22.0% of total-time

Operation ival-mult, time spent: 2.0ms, 22.0% of total-time

Operation ival-sub, time spent: 1.0ms, 11.0% of total-time

Operation ival-add, time spent: 1.0ms, 11.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-5610475.108953563	-0.0018160460265301075

Results

24.0ms	142×	256	valid
0.0ms	1×	256	valid
0.0ms	1×	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-log, time spent: 5.0ms, 51.0% of total-time

Operation ival-exp, time spent: 2.0ms, 20.0% of total-time

Operation ival-sub, time spent: 1.0ms, 10.0% of total-time

Operation ival-add, time spent: 1.0ms, 10.0% of total-time

Operation ival-mult, time spent: 1.0ms, 10.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-1.3542285526395607e-25	-2.2032857549590195e-32

Results

20.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-log, time spent: 3.0ms, 36.0% of total-time

Operation ival-exp, time spent: 2.0ms, 24.0% of total-time

Operation ival-sub, time spent: 1.0ms, 12.0% of total-time

Operation ival-add, time spent: 1.0ms, 12.0% of total-time

Operation ival-mult, time spent: 1.0ms, 12.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-1.3542285526395607e-25	-2.2032857549590195e-32

Results

23.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 124 to 102 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-log, time spent: 3.0ms, 34.0% of total-time

Operation ival-exp, time spent: 2.0ms, 22.0% of total-time

Operation ival-add, time spent: 2.0ms, 22.0% of total-time

Operation ival-sub, time spent: 1.0ms, 11.0% of total-time

Operation ival-mult, time spent: 1.0ms, 11.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	270
1	60	270
2	70	270
3	75	270
4	77	270

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -35) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1462928885023609/178405961588244985132285746181186892047843328) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -8563486156235759/178405961588244985132285746181186892047843328) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -3039929748475085/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -35) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1462928885023609/178405961588244985132285746181186892047843328) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -8563486156235759/178405961588244985132285746181186892047843328) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))

Compiler

Compiled 86 to 61 computations (29.1% saved)

soundness780.0ms (7%)

Rules

1638×	`fma-neg`
1416×	`times-frac`
1416×	`times-frac`
1310×	`times-frac`
1230×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	286	210
4	466	210
5	769	210
6	1332	210
7	2734	210
8	7535	210
0	502	9336
1	1247	9125
2	3872	9050
0	590	17322
1	1385	16020
2	4612	16020
0	30	234
1	73	226
2	129	210
3	286	210
4	466	210
5	769	210
6	1332	210
7	2734	210
8	7535	210

Stop Event

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

Compiler

Compiled 114 to 65 computations (43% saved)

end0.0ms (0%)

preprocess89.0ms (0.8%)

Compiler: Compiled 226 to 130 computations (42.5% saved)

analyze146.0ms (1.3%)

sample5.2s (46.6%)

preprocess604.0ms (5.5%)

eval1.0ms (0%)

prune3.0ms (0%)

localize156.0ms (1.4%)

series72.0ms (0.6%)

rewrite320.0ms (2.9%)

simplify174.0ms (1.6%)

eval82.0ms (0.7%)

prune45.0ms (0.4%)

localize527.0ms (4.8%)

series85.0ms (0.8%)

rewrite185.0ms (1.7%)

simplify229.0ms (2.1%)

eval214.0ms (1.9%)

prune133.0ms (1.2%)

localize270.0ms (2.4%)

series179.0ms (1.6%)

rewrite301.0ms (2.7%)

simplify215.0ms (1.9%)

eval95.0ms (0.9%)

prune38.0ms (0.3%)

localize182.0ms (1.6%)

series142.0ms (1.3%)

rewrite154.0ms (1.4%)

simplify103.0ms (0.9%)

eval101.0ms (0.9%)

prune59.0ms (0.5%)

regimes27.0ms (0.2%)

regimes17.0ms (0.2%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes31.0ms (0.3%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch24.0ms (0.2%)

bsearch27.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch26.0ms (0.2%)

simplify9.0ms (0.1%)

soundness780.0ms (7%)

end0.0ms (0%)

preprocess89.0ms (0.8%)

Profiling