Details

analyze244.0ms (1.7%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample3.6s (25.7%)

Results

2.3s	2583×	body	8192	exit
1.1s	7746×	body	256	valid
128.0ms	232×	body	1024	valid
81.0ms	276×	body	512	valid
22.0ms	155×	body	256	infinite
3.0ms	2×	body	2048	valid

Bogosity

preprocess164.0ms (1.2%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify73.0ms (0.5%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x)))
▶	0.5b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 20 to 14 computations (30% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 x))
✓	0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series47.0ms (0.3%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
20.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
1.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	0	(+.f64 1 (exp.f64 x))
0.0ms	x	@	-inf	(+.f64 1 (exp.f64 x))

Compiler

Compiled 345 to 285 computations (17.4% saved)

rewrite98.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

72×	`egg-rr`
31×	`egg-rr`

Counts

2 → 103

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 0 (log1p.f64 (exp.f64 x))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 0 (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 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((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) 2/3) (cbrt.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (exp.f64 x) 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (expm1.f64 x)) 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 2))))))

simplify484.0ms (3.4%)

Algorithm

1×

egglog

Counts

109 → 127

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(fma.f64 0 0 (log1p.f64 (exp.f64 x)))
(fma.f64 0 3 (log1p.f64 (exp.f64 x)))
(fma.f64 0 1 (log1p.f64 (exp.f64 x)))
(fma.f64 1 0 (log1p.f64 (exp.f64 x)))
(if (!=.f64 (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (-.f64 0 (log1p.f64 (exp.f64 x))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 0 (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x))))) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 0 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (log1p.f64 (exp.f64 x)) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (+.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2))
(.f64 2 (.f64 1/2 (log1p.f64 (exp.f64 x))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.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 (log1p.f64 (exp.f64 x)) 1)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(fma.f64 1 1 (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2/3) 1)
(fma.f64 1 (exp.f64 x) 1)
(fma.f64 (exp.f64 x) 1 1)
(fma.f64 (pow.f64 (exp.f64 x) 2/3) (cbrt.f64 (exp.f64 x)) 1)
(if (!=.f64 (exp.f64 x) 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (neg.f64 (expm1.f64 x)) 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (expm1.f64 x) 0) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) 2) 0) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) 2))) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 (-.f64 (+.f64 1 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 2)) (.f64 (exp.f64 x) (expm1.f64 x))) 0) (.f64 (/.f64 (+.f64 1 (exp.f64 (.f64 x 3))) (+.f64 1 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 3))) (-.f64 (+.f64 1 (pow.f64 (.f64 (exp.f64 x) (expm1.f64 x)) 2)) (*.f64 (exp.f64 x) (expm1.f64 x)))) (exp.f64 (log1p.f64 (exp.f64 x))))
(if (!=.f64 1 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(+.f64 (exp.f64 x) 1)
(.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)))
(.f64 (.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))) (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)) 2) (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (+.f64 1 (exp.f64 (.f64 x 3))) (*.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 1))
(.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) 2) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))) (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))
(.f64 (+.f64 1 (exp.f64 (.f64 x 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(.f64 (neg.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) (/.f64 1 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (+.f64 1 (exp.f64 (.f64 x 3))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) 1) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(*.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) 2) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(.f64 (exp.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2/3) (-.f64 1 (cbrt.f64 (exp.f64 x)))) (+.f64 (cbrt.f64 (exp.f64 x)) 1))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2/3) (cbrt.f64 (exp.f64 x)))) (+.f64 1 (cbrt.f64 (exp.f64 x))))
(*.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3))
(.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (exp.f64 (.f64 x 3))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)) 2))
(*.f64 1 (exp.f64 (log1p.f64 (exp.f64 x))))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)
(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 (.f64 x 3) 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (exp.f64 (.f64 x 3))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) 1) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2))
(/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (exp.f64 (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 1 (exp.f64 (.f64 (.f64 x 3) 3))) (.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (exp.f64 (.f64 x 3)))))
(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 (.f64 x 3) 3))) 1) (.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (exp.f64 (*.f64 x 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3)))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (neg.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 x 3))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3) (cbrt.f64 (+.f64 1 (exp.f64 (.f64 x 3))))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (.f64 (neg.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) 1) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (exp.f64 (*.f64 x 3)))))
(pow.f64 (exp.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3)) 1/3)
(pow.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)
(neg.f64 (/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(sqrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2))
(cbrt.f64 (exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 3)))
(fabs.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 3) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/192 (pow.f64 x 4) (log.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) 2) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 0 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(fma.f64 0 3 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(fma.f64 0 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(fma.f64 1 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(if (!=.f64 (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 0 0) 0 (log1p.f64 (exp.f64 x)))
(if (!=.f64 (-.f64 0 (log1p.f64 (exp.f64 x))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 0 (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 0) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (log1p.f64 (exp.f64 x))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2) 0) (/.f64 (.f64 2 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2)) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x))))) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) 0) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 0) (/.f64 (.f64 2 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2)) (log1p.f64 (exp.f64 x)))
(if (!=.f64 0 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (log1p.f64 (exp.f64 x)) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (log1p.f64 (exp.f64 x)) 0) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (log1p.f64 (exp.f64 x)))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(log1p.f64 (exp.f64 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2) (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (+.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(log1p.f64 (exp.f64 x))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2))
(log1p.f64 (exp.f64 x))
(.f64 2 (.f64 1/2 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.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 (log1p.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))
(log.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(log1p.f64 (exp.f64 x))
(fma.f64 1 1 (exp.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2/3) 1)
(fma.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 (*.f64 x 2/3)) 1)
(fma.f64 1 (exp.f64 x) 1)
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 (exp.f64 x) 1 1)
(exp.f64 (log1p.f64 (exp.f64 x)))
(fma.f64 (pow.f64 (exp.f64 x) 2/3) (cbrt.f64 (exp.f64 x)) 1)
(fma.f64 (exp.f64 (*.f64 x 2/3)) (cbrt.f64 (exp.f64 x)) 1)
(if (!=.f64 (exp.f64 x) 0) (exp.f64 (log1p.f64 (exp.f64 x))) (exp.f64 (log1p.f64 (exp.f64 x))))
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(.f64 (neg.f64 (+.f64 1 (exp.f64 (.f64 x 3)))) (/.f64 1 (neg.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
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(*.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (exp.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) 2)))
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(.f64 (exp.f64 (.f64 1/2 (log1p.f64 (exp.f64 x)))) (exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x)))))
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(.f64 (-.f64 (+.f64 (exp.f64 (.f64 x 2/3)) 1) (cbrt.f64 (exp.f64 x))) (+.f64 (cbrt.f64 (exp.f64 x)) 1))
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(*.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3))
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(.f64 (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (exp.f64 (.f64 x 3))))
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(.f64 (.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 2/3)) 2))
(.f64 (cbrt.f64 (exp.f64 (log1p.f64 (exp.f64 x)))) (exp.f64 (.f64 (log1p.f64 (exp.f64 x)) 2/3)))
(*.f64 1 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(*.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1)
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(/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
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(/.f64 (.f64 (+.f64 1 (exp.f64 (.f64 (.f64 x 3) 3))) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (exp.f64 (.f64 x 3))))
(/.f64 (/.f64 (+.f64 1 (exp.f64 (.f64 x 9))) (-.f64 (+.f64 1 (exp.f64 (.f64 x 6))) (exp.f64 (*.f64 x 3)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (/.f64 (+.f64 1 (exp.f64 (*.f64 x 3))) 1) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
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(/.f64 (+.f64 1 (exp.f64 (.f64 (.f64 x 3) 3))) (.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (exp.f64 (.f64 x 3)))))
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localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series10.0ms (0.1%)

Counts

1 → 10

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (exp.f64 x))
0.0ms	x	@	-inf	(log1p.f64 (exp.f64 x))
0.0ms	x	@	inf	(log1p.f64 (exp.f64 x))

Compiler

Compiled 405 to 300 computations (25.9% saved)

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

40× egg-rr

Counts

1 → 40

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 0 (log1p.f64 (exp.f64 x))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 0 (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (-.f64 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(pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 (exp.f64 x)) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 2) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (+.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log1p.f64 (exp.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 3 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 0 (log1p.f64 (exp.f64 x))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 0 (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 0) (/.f64 (-.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (-.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x))))) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x)))) (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log1p.f64 (exp.f64 x)) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 2) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (*.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (+.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2) (cbrt.f64 (*.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (log1p.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (exp.f64 x))))))

simplify206.0ms (1.5%)

Algorithm

1×

egglog

Counts

50 → 52

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(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)))
(fma.f64 0 1 (log1p.f64 (exp.f64 x)))
(fma.f64 0 0 (log1p.f64 (exp.f64 x)))
(fma.f64 0 3 (log1p.f64 (exp.f64 x)))
(fma.f64 1 0 (log1p.f64 (exp.f64 x)))
(if (!=.f64 (-.f64 0 (log1p.f64 (exp.f64 x))) 0) (/.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 0 (log1p.f64 (exp.f64 x)))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) 0) (/.f64 (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (-.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x))))) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 0 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3) (pow.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 3)) (+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (-.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x)))) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))))) (log1p.f64 (exp.f64 x)))
(if (!=.f64 (log1p.f64 (exp.f64 x)) 0) (/.f64 (+.f64 0 (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (*.f64 0 (log1p.f64 (exp.f64 x)))))) (log1p.f64 (exp.f64 x)))
(+.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) (.f64 1/2 (log1p.f64 (exp.f64 x))))
(+.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1) (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(+.f64 (log1p.f64 (exp.f64 x)) 0)
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) 2) (log1p.f64 (exp.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))))) 2) (cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))))))
(.f64 (+.f64 0 (-.f64 (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))) (+.f64 0 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(.f64 (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 2) 2) (cbrt.f64 (.f64 (log1p.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2)))))
(.f64 (.f64 (log1p.f64 (exp.f64 x)) 2) 1/2)
(.f64 2 (.f64 1/2 (log1p.f64 (exp.f64 x))))
(/.f64 (*.f64 (log1p.f64 (exp.f64 x)) 2) 2)
(/.f64 (*.f64 2 (log1p.f64 (exp.f64 x))) 2)
(/.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))

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

eval76.0ms (0.5%)

Compiler: Compiled 3782 to 1766 computations (53.3% saved)

prune30.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	174	5	179
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	176	5	181

Error

0.2b

Counts

181 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	15.9b	(-.f64 (log.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))) (*.f64 x y))
▶	7.7b	(-.f64 (log.f64 (+.f64 2 (fma.f64 1/2 (.f64 x x) x))) (.f64 x y))
▶	16.0b	(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
▶	4.4b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 128 to 92 computations (28.1% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.5b	(log1p.f64 (exp.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series13.0ms (0.1%)

Counts

1 → 4

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
2.0ms	y	@	0	(-.f64 (log.f64 2) (*.f64 x y))
1.0ms	x	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 855 to 530 computations (38% saved)

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

58× egg-rr

Counts

1 → 58

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))

Outputs
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Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (fma.f64 x (neg.f64 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x y)))))) 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(-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (neg.f64 (*.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (log.f64 2))))) (fma.f64 x (neg.f64 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 x y)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (*.f64 x y) 3)) (+.f64 (pow.f64 (*.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 1/2) (*.f64 x y))))) (fma.f64 x (neg.f64 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x y (log.f64 2)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2))) (fma.f64 x (neg.f64 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (neg.f64 (*.f64 x y)) 0) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (neg.f64 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x y)) (*.f64 -1 (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x y)) (*.f64 (log.f64 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x y)) (neg.f64 (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 x y (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 x y)) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (+.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (cbrt.f64 (*.f64 (log.f64 2) (*.f64 x y))))) (-.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 x y (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x y (log.f64 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (neg.f64 y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 x y (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (fma.f64 x y (log.f64 1/2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3))))))

simplify161.0ms (1.1%)

Algorithm

1×

egglog

Counts

62 → 69

Calls

Call 1

Inputs
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 y x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x y)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (log.f64 2))
(fma.f64 (neg.f64 y) x (log.f64 2))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)) (log.f64 2))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(fma.f64 0 0 (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (neg.f64 (*.f64 x y)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x y)))
(fma.f64 1 (neg.f64 (*.f64 x y)) (log.f64 2))
(fma.f64 (log.f64 2) 1 (neg.f64 (*.f64 x y)))
(fma.f64 1 0 (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (log.f64 2))
(if (!=.f64 (log.f64 2) 0) (/.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 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (.f64 x y) 0) (/.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 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (fma.f64 (log.f64 2) (log.f64 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) (log.f64 2)))) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (log.f64 2))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (log.f64 2) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (.f64 x y)) (log.f64 2))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (-.f64 (neg.f64 (.f64 x y)) (log.f64 2)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log.f64 2) 2)) (-.f64 (neg.f64 (*.f64 x y)) (log.f64 2))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (+.f64 0 (fma.f64 x y (log.f64 1/2))) 0) (/.f64 (-.f64 0 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2)) (+.f64 0 (fma.f64 x y (log.f64 1/2)))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 1/2) (.f64 x y)))) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 1/2) (*.f64 x y))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (log.f64 2) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 1/2) (.f64 x y))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2) (*.f64 0 (fma.f64 x y (log.f64 1/2)))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (fma.f64 x y (log.f64 1/2)) 0) (/.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2) (*.f64 0 (fma.f64 x y (log.f64 1/2)))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2) (.f64 0 (fma.f64 x y (log.f64 1/2))))) 0) (/.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 2) (.f64 0 (fma.f64 x y (log.f64 1/2)))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log.f64 2)) (pow.f64 (log.f64 2) 2)) 0) (/.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 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (neg.f64 (.f64 x y)) (-.f64 (neg.f64 (*.f64 x y)) (log.f64 2))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (neg.f64 (.f64 x y)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log.f64 2) 2) (.f64 (log.f64 1/2) (*.f64 x y))))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (fma.f64 x y (log.f64 2)) 0) (/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (*.f64 x y) 2)) (fma.f64 x y (log.f64 2))) (fma.f64 x (neg.f64 y) (log.f64 2)))
(+.f64 (+.f64 (neg.f64 (*.f64 x y)) 0) (log.f64 2))
(+.f64 0 (fma.f64 x (neg.f64 y) (log.f64 2)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 2))
(+.f64 (neg.f64 (.f64 x y)) (.f64 -1 (log.f64 1/2)))
(+.f64 (neg.f64 (.f64 x y)) (.f64 (log.f64 1/2) -1))
(+.f64 (neg.f64 (*.f64 x y)) (neg.f64 (log.f64 1/2)))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 0 (fma.f64 x y (log.f64 1/2)))
(-.f64 (neg.f64 (*.f64 x y)) (log.f64 1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2)))))
(*.f64 (neg.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2)))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) (cbrt.f64 (.f64 (log.f64 2) (.f64 x y))))) (-.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (*.f64 x y))))
(*.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2) (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))))
(*.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log.f64 1/2))) 2)))
(*.f64 -1 (fma.f64 x y (log.f64 1/2)))
(*.f64 (fma.f64 x y (log.f64 1/2)) -1)
(*.f64 1 (fma.f64 x (neg.f64 y) (log.f64 2)))
(*.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (neg.f64 y) (log.f64 2))) 3)
(pow.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3) 1/3)
(pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(neg.f64 (fma.f64 x y (log.f64 1/2)))
(neg.f64 (-.f64 (fma.f64 x y (log.f64 1/2)) 0))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3))

Outputs
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(fma.f64 x (neg.f64 y) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x y)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (neg.f64 y) x (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 -1 (*.f64 x y) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 0 0 (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (neg.f64 x) y (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (neg.f64 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 1 (log.f64 2) (neg.f64 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 1 (neg.f64 (*.f64 x y)) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (log.f64 2) 1 (neg.f64 (*.f64 x y)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 1 0 (fma.f64 x (neg.f64 y) (log.f64 2)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (log.f64 2))
(fma.f64 y (neg.f64 x) (log.f64 2))
(if (!=.f64 (log.f64 2) 0) (/.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 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (log.f64 2) 0) (/.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 y (neg.f64 x) (log.f64 2)))
(if (!=.f64 (.f64 x y) 0) (/.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 x (neg.f64 y) (log.f64 2)))
(if (!=.f64 (.f64 x y) 0) (/.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 y (neg.f64 x) (log.f64 2)))
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(fma.f64 y (neg.f64 x) (log.f64 2))
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(fma.f64 y (neg.f64 x) (log.f64 2))
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(fma.f64 y (neg.f64 x) (log.f64 2))
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(fma.f64 y (neg.f64 x) (log.f64 2))
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(fma.f64 y (neg.f64 x) (log.f64 2))
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(fma.f64 y (neg.f64 x) (log.f64 2))
(pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 1)
(fma.f64 y (neg.f64 x) (log.f64 2))
(neg.f64 (fma.f64 x y (log.f64 1/2)))
(fma.f64 y (neg.f64 x) (log.f64 2))
(neg.f64 (-.f64 (fma.f64 x y (log.f64 1/2)) 0))
(fma.f64 y (neg.f64 x) (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 x (neg.f64 y) (log.f64 2)) 3))
(fma.f64 y (neg.f64 x) (log.f64 2))

localize23.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 2 x))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series18.0ms (0.1%)

Counts

1 → 2

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f64 (+.f64 2 x))
1.0ms	x	@	inf	(log.f64 (+.f64 2 x))
1.0ms	x	@	0	(log.f64 (+.f64 2 x))

Compiler

Compiled 925 to 795 computations (14.1% saved)

rewrite128.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

24× egg-rr

Counts

1 → 24

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) (.f64 (log.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 2 x)) (.f64 (log.f64 (+.f64 2 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log.f64 (+.f64 2 x))) (.f64 1/2 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 2 x)) (.f64 0 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) 2) (log.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (pow.f64 (log.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 x 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2) (*.f64 (log.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 2 x)) (*.f64 (log.f64 (+.f64 2 x)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log.f64 (+.f64 2 x))) (*.f64 1/2 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 2 x)) (*.f64 0 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) 2) (log.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (cbrt.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (pow.f64 (log.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (+.f64 x 1))))))

simplify153.0ms (1.1%)

Algorithm

1×

egglog

Counts

26 → 28

Calls

Call 1

Inputs
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) (.f64 (log.f64 (+.f64 2 x)) 1/2))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 (log.f64 (+.f64 2 x)) 0))
(+.f64 (.f64 1/2 (log.f64 (+.f64 2 x))) (.f64 1/2 (log.f64 (+.f64 2 x))))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 0 (log.f64 (+.f64 2 x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (log.f64 (+.f64 2 x))))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) 2) (log.f64 (+.f64 2 x)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(*.f64 1 (log.f64 (+.f64 2 x)))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(/.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 2)
(/.f64 (log.f64 (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))

Outputs
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (log.f64 2))))
(+.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) (.f64 (log.f64 (+.f64 2 x)) 1/2))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 (log.f64 (+.f64 2 x)) 0))
(log.f64 (+.f64 2 x))
(+.f64 (.f64 1/2 (log.f64 (+.f64 2 x))) (.f64 1/2 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(+.f64 (log.f64 (+.f64 2 x)) (*.f64 0 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))
(log.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))
(log.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (cbrt.f64 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) 2))
(log.f64 (+.f64 2 x))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(log.f64 (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) 2) (log.f64 (+.f64 2 x)))))
(log.f64 (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))))
(log.f64 (+.f64 2 x))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2)) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(log.f64 (+.f64 2 x))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 2 x)) 2) (cbrt.f64 (log.f64 (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2))
(log.f64 (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 2 x)))) 2) (cbrt.f64 (.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) (pow.f64 (log.f64 (+.f64 2 x)) 2))))
(log.f64 (+.f64 2 x))
(*.f64 1 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(/.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 2)
(log.f64 (+.f64 2 x))
(/.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3) 1/3)
(log.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 2 x))) 3)
(log.f64 (+.f64 2 x))
(pow.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 2 x)) 3))
(log.f64 (+.f64 2 x))
(log.f64 (+.f64 2 x))
(log1p.f64 (+.f64 x 1))
(log.f64 (+.f64 2 x))

localize63.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
✓	0.0b	(fma.f64 1/2 (*.f64 x x) x)
✓	4.1b	(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))

Compiler

Compiled 48 to 23 computations (52.1% saved)

series60.0ms (0.4%)

Counts

3 → 26

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(+.f64 2 (fma.f64 1/2 (*.f64 x x) x))
2.0ms	x	@	-inf	(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
2.0ms	x	@	inf	(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
2.0ms	x	@	0	(log.f64 (+.f64 2 (fma.f64 1/2 (*.f64 x x) x)))
1.0ms	x	@	inf	(fma.f64 1/2 (*.f64 x x) x)

Compiler

Compiled 1925 to 1595 computations (17.1% saved)

rewrite159.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

82×	`egg-rr`
38×	`egg-rr`
13×	`egg-rr`

Counts

3 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) 2) (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))))

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(fma.f64 (*.f64 1/2 x) x x) 3)) (neg.f64 (fma.f64 (fma.f64 (*.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 3))))))

simplify1.1s (7.9%)

Algorithm

1×

egglog

Counts

159 → 179

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (log.f64 2))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))
(.f64 1 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))
(.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2) 2) (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) 2))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 3)
(pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3) 1/3)
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3))
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (*.f64 x (cbrt.f64 x)) x)
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) x)
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(/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4))) (+.f64 64 (.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) (-.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 8))))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)) 2))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) 1) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 3)) (.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4) (+.f64 64 (.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) (-.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 8)))))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 3)) 1) (.f64 (+.f64 64 (.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) (-.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 8))) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)))
(/.f64 (neg.f64 (neg.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)))) (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)) 2))) (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)))
(/.f64 (.f64 (neg.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) 1) (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3)
(pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 3) 1/3)
(neg.f64 (/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 3))

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (log.f64 2))))
(+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (fma.f64 -1/12 (pow.f64 x 3) (log.f64 2)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2)))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(.f64 1 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) 1)
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 2))))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2) 2) (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) 2) 2))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 3)
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 1)
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(pow.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3) 1/3)
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))
(log.f64 (fma.f64 x (fma.f64 1/2 x 1) 2))
(fma.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (*.f64 x (cbrt.f64 x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 1/2 x) x x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 x 1 (.f64 1/2 (.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1 x (.f64 1/2 (.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) 1/2 x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 1/2) (.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 1 (.f64 1/2 (.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (.f64 1/2 (.f64 x x)) 1 x)
(*.f64 x (fma.f64 1/2 x 1))
(if (!=.f64 (fma.f64 (.f64 x x) 1/2 (neg.f64 x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 x x)) (fma.f64 (.f64 x x) 1/2 (neg.f64 x))) (fma.f64 (.f64 1/2 x) x x))
(if (!=.f64 (.f64 x (fma.f64 x 1/2 -1)) 0) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))) (.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (-.f64 x (.f64 1/2 (.f64 x x))) 0) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 x (.f64 1/2 (.f64 x x)))) (fma.f64 (.f64 1/2 x) x x))
(if (!=.f64 (neg.f64 (.f64 x (fma.f64 x 1/2 -1))) 0) (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))) (.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 x (-.f64 x (.f64 1/2 (.f64 x x))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 x (-.f64 x (.f64 1/2 (.f64 x x)))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))))) (.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (pow.f64 x 3)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (pow.f64 x 3))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))))) (.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 x (-.f64 x (.f64 1/2 (.f64 x x)))))) (fma.f64 (.f64 1/2 x) x x))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))))) (.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (pow.f64 x 3))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))))) (.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 x (-.f64 x (.f64 1/2 (.f64 x x)))))) (fma.f64 (.f64 1/2 x) x x))
(if (!=.f64 x 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))))) (.f64 x (fma.f64 1/2 x 1)))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2) (.f64 1/2 (pow.f64 x 3))))) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 1/2 (.f64 x x)) (.f64 x (fma.f64 x 1/2 -1))))) (.f64 x (fma.f64 1/2 x 1)))
(+.f64 (.f64 1/2 (.f64 x x)) x)
(*.f64 x (fma.f64 1/2 x 1))
(+.f64 x (.f64 1/2 (.f64 x x)))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 1 (fma.f64 (.f64 1/2 x) x x))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 (fma.f64 (.f64 1/2 x) x x) 1)
(*.f64 x (fma.f64 1/2 x 1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x x))) 2) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2))))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 x (+.f64 (.f64 1/2 x) 1))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 x (+.f64 1 (.f64 1/2 x)))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 (+.f64 (.f64 1/2 x) 1) x)
(*.f64 x (fma.f64 1/2 x 1))
(.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x x)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 2)))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 2)) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)))
(*.f64 x (fma.f64 1/2 x 1))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))) 2) 2))
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) 3)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (fma.f64 (*.f64 1/2 x) x x) 1)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 1/3)
(*.f64 x (fma.f64 1/2 x 1))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3))
(*.f64 x (fma.f64 1/2 x 1))
(fma.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (*.f64 x (cbrt.f64 x)) (+.f64 x 2))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) (+.f64 x 2))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 x x)) (+.f64 x 2))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(fma.f64 (*.f64 1/2 x) x (+.f64 x 2))
(fma.f64 x (fma.f64 1/2 x 1) 2)
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(.f64 (/.f64 1 (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4))) (/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4) 1) (/.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)))
(/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4) (fma.f64 x (fma.f64 1/2 x 1) 2)) (fma.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(.f64 (/.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4) (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4))) (/.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)) 2)))
(/.f64 (.f64 (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4) (fma.f64 x (fma.f64 1/2 x 1) 2)) (fma.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(.f64 (/.f64 (cbrt.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) 1) (/.f64 (pow.f64 (cbrt.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) 2) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 2)))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(.f64 (+.f64 (cbrt.f64 4) (-.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 2)) (cbrt.f64 (.f64 2 (fma.f64 (.f64 1/2 x) x x))))) (+.f64 (cbrt.f64 2) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x))))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 2)) (-.f64 (cbrt.f64 4) (cbrt.f64 (.f64 2 (fma.f64 (.f64 1/2 x) x x))))) (+.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x x)) (cbrt.f64 2)))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)) 2)) (cbrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(.f64 (/.f64 1 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)) (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)))) 2) 2))
(fma.f64 x (fma.f64 1/2 x 1) 2)
(/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 3)) (/.f64 1 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4))) (+.f64 64 (.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) (-.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 8))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4))) (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)) 2))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) 1) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (+.f64 512 (pow.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 3)) (.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4) (+.f64 64 (.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) (-.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x x) 3) 8)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (.f64 (+.f64 512 (pow.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 3)) 1) (.f64 (+.f64 64 (.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) (-.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 8))) (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (neg.f64 (neg.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (neg.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)))) (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)))
(cbrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (pow.f64 (fma.f64 x (fma.f64 1/2 x 1) 2) 2)) (fma.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4)))
(/.f64 (.f64 (cbrt.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x (+.f64 x 2)) 2))) (cbrt.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4)))
(cbrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (pow.f64 (fma.f64 x (fma.f64 1/2 x 1) 2) 2)) (fma.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4)))
(/.f64 (.f64 (neg.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3))) 1) (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (.f64 1/2 x) x x) -2) 4)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2))) 3)
(fma.f64 x (fma.f64 1/2 x 1) 2)
(pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 1)
(fma.f64 x (fma.f64 1/2 x 1) 2)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 3) 1/3)
(fma.f64 x (fma.f64 1/2 x 1) 2)
(neg.f64 (/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (neg.f64 (fma.f64 (fma.f64 (.f64 1/2 x) x x) (+.f64 (fma.f64 (*.f64 1/2 x) x x) -2) 4))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3) 8) (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (fma.f64 x (fma.f64 1/2 x 1) -2) 4))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 x 2)) 3))
(fma.f64 x (fma.f64 1/2 x 1) 2)

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	0.0b	(log.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x))))
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	4.3b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))

Compiler

Compiled 94 to 70 computations (25.5% saved)

series50.0ms (0.4%)

Counts

4 → 20

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
2.0ms	x	@	-inf	(*.f64 1/6 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 3))
1.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 3))
1.0ms	x	@	-inf	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))

Compiler

Compiled 2255 to 1905 computations (15.5% saved)

rewrite177.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

93×	`egg-rr`
42×	`egg-rr`
31×	`egg-rr`
9×	`egg-rr`

Counts

4 → 175

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(*.f64 1/6 (pow.f64 x 3))
(log.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 1/6 (pow.f64 x 3)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) (.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 1 (.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 (.f64 x x) x) 1 (fma.f64 (pow.f64 x 3) 1/6 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 1 (fma.f64 1/2 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 x) (.f64 x x) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 3)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (pow.f64 x 3)) 1 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/6)) (cbrt.f64 1/36) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (.f64 x x)) x (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 1/6 (.f64 x x)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) (.f64 1/6 x) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (cbrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (.f64 x x)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 8 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 (.f64 x x) x) (+.f64 (fma.f64 1/2 (.f64 x x) x) -2) 4)) (.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/6 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2)) (fma.f64 1/2 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 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(fma.f64 1/2 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 1/2 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/2 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/2 (.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 1 (.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 (.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) 1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/2 x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (.f64 1/2 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))))))

simplify368.0ms (2.6%)

Algorithm

1×

egglog

Counts

195 → 271

Calls

Call 1

Inputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (+.f64 x (.f64 1/6 (pow.f64 (/.f64 1 x) -3))))
(+.f64 2 (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (+.f64 x (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -5/192 (pow.f64 x 4)))))
x
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1 (.f64 1/6 (pow.f64 x 3)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 1 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 1 (.f64 1/6 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 (fma.f64 1/2 (*.f64 x x) x) 1 (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 1 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 (.f64 1/6 x) (.f64 x x) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 3)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 1/6 (pow.f64 x 3)) 1 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/6)) (cbrt.f64 1/36) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 1/6 (.f64 x x)) x (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 x (.f64 1/6 (.f64 x x)) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 x x) (.f64 1/6 x) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 x (cbrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (.f64 x x)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (+.f64 8 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 (.f64 x x) x) (+.f64 (fma.f64 1/2 (.f64 x x) x) -2) 4)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/6 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2)) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (sqrt.f64 1/6) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (sqrt.f64 1/6) (.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 x (cbrt.f64 1/6)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x)) 0) (/.f64 (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2))) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x))) 0) (/.f64 (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2))) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2) (.f64 (fma.f64 1/2 (.f64 x x) x) (-.f64 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2)))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 3) (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2) (.f64 (fma.f64 1/2 (.f64 x x) x) (-.f64 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2))))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
(if (!=.f64 (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x))))) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/216 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 3)) (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x)))))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
(if (!=.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/216 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 3)) (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x)))))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (fma.f64 1/2 (.f64 x x) x) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 3) (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2) (.f64 (fma.f64 1/2 (.f64 x x) x) (-.f64 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2))))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
(if (!=.f64 (.f64 1/6 (pow.f64 x 3)) 0) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 1/216 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 3)) (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x)))))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2) (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
(if (!=.f64 (-.f64 (fma.f64 1/2 (.f64 x x) 2) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) 2) 2) (.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (-.f64 (fma.f64 1/2 (.f64 x x) 2) (+.f64 x (.f64 1/6 (pow.f64 x 3))))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (-.f64 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2)) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2)) (-.f64 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
(if (!=.f64 (-.f64 2 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x))) 0) (/.f64 (-.f64 4 (.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x)))) (-.f64 2 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x)))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) 2)) x) 0) (/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) 2)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) 2))) (.f64 x x)) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) 2)) x)) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x) (.f64 1/2 (.f64 x x))) 0) (/.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x)) (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) x) (.f64 1/2 (.f64 x x)))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x)) 2) 0) (/.f64 (-.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x))) 4) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (.f64 x x) x)) 2)) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
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(.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x))) 1)
(pow.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))) 3)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x))) 3))
(log.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) x)
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (*.f64 x x) 2)) 1/2) x)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (cbrt.f64 (.f64 1/2 (.f64 x x))) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 (*.f64 x x) 1/2 x)
(fma.f64 1 x (.f64 1/2 (.f64 x x)))
(fma.f64 1 (.f64 1/2 (.f64 x x)) x)
(fma.f64 x 1 (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2) x)
(fma.f64 (.f64 x (sqrt.f64 1/2)) (.f64 x (sqrt.f64 1/2)) x)
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) x)
(fma.f64 (sqrt.f64 1/2) (.f64 (.f64 x x) (sqrt.f64 1/2)) x)
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 x x)) x)
(fma.f64 (*.f64 1/2 x) x x)
(fma.f64 x (*.f64 1/2 x) x)
(fma.f64 (.f64 1/2 (.f64 x x)) 1 x)
(fma.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (cbrt.f64 (pow.f64 (*.f64 x x) 2)) x)
(if (!=.f64 (fma.f64 (.f64 x x) 1/2 (neg.f64 x)) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2))) (-.f64 x (.f64 1/2 (.f64 x x)))) (fma.f64 1/2 (.f64 x x) x))
(if (!=.f64 (-.f64 x (.f64 1/2 (.f64 x x))) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2))) (-.f64 x (.f64 1/2 (.f64 x x)))) (fma.f64 1/2 (*.f64 x x) x))
(if (!=.f64 (fma.f64 (pow.f64 (.f64 x x) 2) 1/4 (.f64 x (-.f64 x (.f64 1/2 (.f64 x x))))) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (.f64 x x) 2) 1/4 (.f64 x (-.f64 x (.f64 1/2 (.f64 x x)))))) (fma.f64 1/2 (.f64 x x) x))
(if (!=.f64 x 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (.f64 x x) 2) 1/4 (.f64 x (-.f64 x (.f64 1/2 (.f64 x x)))))) (fma.f64 1/2 (.f64 x x) x))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (.f64 x x) 2) 1/4 (.f64 x (-.f64 x (.f64 1/2 (.f64 x x)))))) (fma.f64 1/2 (.f64 x x) x))
(+.f64 (.f64 1/2 (.f64 x x)) x)
(+.f64 x (.f64 1/2 (.f64 x x)))
(.f64 1 (fma.f64 1/2 (.f64 x x) x))
(.f64 (fma.f64 1/2 (.f64 x x) x) 1)
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 2))))
(.f64 x (+.f64 1 (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) 1/2)))
(.f64 x (+.f64 (.f64 1/2 x) 1))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 x x) 2)) 1/2) (cbrt.f64 x)))
(.f64 (+.f64 (.f64 1/2 x) 1) x)
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 2)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (-.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 (.f64 1/2 (*.f64 x x))) (cbrt.f64 x)))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2)) (.f64 (cbrt.f64 1/2) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (.f64 1/2 (*.f64 x x)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) x)))
(pow.f64 (fma.f64 1/2 (*.f64 x x) x) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) x)) 3)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 3))

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (*.f64 x (fma.f64 1/2 x 1)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) (*.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (+.f64 x (.f64 1/6 (pow.f64 (/.f64 1 x) -3))))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) (+.f64 x (*.f64 1/6 (pow.f64 (/.f64 1 x) -3))))
(+.f64 2 (+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (+.f64 x (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) (+.f64 x (*.f64 1/6 (pow.f64 (/.f64 1 x) -3)))))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -1/6 (pow.f64 (/.f64 -1 x) -3) (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (+.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(fma.f64 -1/6 (pow.f64 (/.f64 -1 x) -3) (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)))
(fma.f64 -1/6 (pow.f64 (/.f64 -1 x) -3) (+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -5/192 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 -5/192 (pow.f64 x 4))))
x
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(fma.f64 1 (.f64 1/6 (pow.f64 x 3)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 1 (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 1 (.f64 (pow.f64 x 3) 1/6))
(fma.f64 1 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (fma.f64 1/2 (*.f64 x x) x) 1 (fma.f64 (pow.f64 x 3) 1/6 2))
(+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2))
(+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (.f64 1/6 x) (.f64 x x) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (pow.f64 x 3)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/6)) (cbrt.f64 1/36) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 1/6 (pow.f64 x 3)) 1 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/6)) (cbrt.f64 1/36) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 1/6 (.f64 x x)) x (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 x (.f64 1/6 (.f64 x x)) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 x x) (.f64 1/6 x) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 x (cbrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (.f64 x x)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/6)) (cbrt.f64 1/36) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (*.f64 (pow.f64 x 3) 1/6))
(fma.f64 (+.f64 8 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (/.f64 1 (fma.f64 (fma.f64 1/2 (.f64 x x) x) (+.f64 (fma.f64 1/2 (.f64 x x) x) -2) 4)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (+.f64 8 (pow.f64 (.f64 x (fma.f64 1/2 x 1)) 3)) (/.f64 1 (fma.f64 (.f64 x (fma.f64 1/2 x 1)) (+.f64 (.f64 x (fma.f64 1/2 x 1)) -2) 4)) (.f64 (pow.f64 x 3) 1/6))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2)) (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x))) (*.f64 (pow.f64 x 3) 1/6))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/6 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2)) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 1/6 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2)) (*.f64 x (fma.f64 1/2 x 1)))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (fma.f64 (pow.f64 x 3) 1/6 2))
(+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) (fma.f64 (pow.f64 x 3) 1/6 2))
(+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (sqrt.f64 1/6) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (sqrt.f64 1/6) (.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 x (cbrt.f64 1/6)) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(fma.f64 (.f64 (pow.f64 x 3) (cbrt.f64 1/6)) (cbrt.f64 1/36) (fma.f64 1/2 (.f64 x x) (+.f64 2 x)))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x)) 0) (/.f64 (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2))) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (.f64 x (fma.f64 1/2 x 1))) 0) (/.f64 (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2))) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (.f64 x (fma.f64 1/2 x 1)))) (+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2)))
(if (!=.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x))) 0) (/.f64 (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2))) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (fma.f64 1/2 (.f64 x x) x))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (*.f64 x x) x)))
(if (!=.f64 (neg.f64 (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (.f64 x (fma.f64 1/2 x 1)))) 0) (/.f64 (fma.f64 1/36 (pow.f64 (.f64 x x) 3) (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 2 x)) 2))) (-.f64 (fma.f64 (pow.f64 x 3) 1/6 -2) (.f64 x (fma.f64 1/2 x 1)))) (+.f64 (*.f64 x (fma.f64 1/2 x 1)) (fma.f64 (pow.f64 x 3) 1/6 2)))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2) (.f64 (fma.f64 1/2 (.f64 x x) x) (-.f64 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2)))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 3) (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1/6 2) 2) (.f64 (fma.f64 1/2 (.f64 x x) x) (-.f64 (fma.f64 1/2 (.f64 x x) x) (fma.f64 (pow.f64 x 3) 1/6 2))))) (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))
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(pow.f64 (fma.f64 1/2 (*.f64 x x) x) 1)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 3) 1/3)
(*.f64 x (fma.f64 1/2 x 1))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) x)) 3)
(*.f64 x (fma.f64 1/2 x 1))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 3))
(*.f64 x (fma.f64 1/2 x 1))

eval518.0ms (3.7%)

Compiler: Compiled 18888 to 12184 computations (35.5% saved)

prune130.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	593	6	599
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	595	9	604

Error

0.2b

Counts

604 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	17.2b	(-.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (fma.f64 (pow.f64 x 3) 1/6 2) (fma.f64 1/2 (.f64 x x) x)))) 3) (.f64 x y))
▶	11.1b	(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	15.9b	(-.f64 (log.f64 (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (.f64 x x))) (+.f64 2 x))) (.f64 x y))
▶	7.7b	(-.f64 (log.f64 (+.f64 (+.f64 x 2) (.f64 1/2 (.f64 x x)))) (*.f64 x y))
▶	16.0b	(-.f64 (log.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))) (.f64 x y))
✓	16.0b	(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
✓	4.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	36.8b	(neg.f64 (*.f64 x y))

Compiler

Compiled 225 to 163 computations (27.6% saved)

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 x x))
✓	0.0b	(+.f64 (+.f64 x 2) (.f64 1/2 (.f64 x x)))
✓	4.1b	(log.f64 (+.f64 (+.f64 x 2) (.f64 1/2 (.f64 x x))))

Compiler

Compiled 53 to 28 computations (47.2% saved)

series22.0ms (0.2%)

Counts

3 → 26

Calls

9 calls:

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

Compiler

Compiled 1855 to 1570 computations (15.4% saved)

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`egg-rr`
49×	`egg-rr`
9×	`egg-rr`

Counts

3 → 134

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 (*.f64 1/2 x) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 (*.f64 1/2 x) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 (*.f64 1/2 x) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 (*.f64 1/2 x) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 1/2 x) x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (pow.f64 (+.f64 x 2) 2)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 2) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 x x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) x (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 1 (+.f64 4 (*.f64 x (+.f64 x -2)))) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 2) 1 (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 4) (cbrt.f64 2) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 2) (cbrt.f64 4) (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (+.f64 x 2) (*.f64 -1/2 (*.f64 x x))) 0) (/.f64 (fma.f64 1/4 (pow.f64 (*.f64 x x) 2) (neg.f64 (pow.f64 (+.f64 x 2) 2))) (fma.f64 (*.f64 1/2 x) x (neg.f64 (+.f64 x 2)))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (*.f64 1/2 x) x (neg.f64 (+.f64 x 2))) 0) (/.f64 (fma.f64 1/4 (pow.f64 (*.f64 x x) 2) (neg.f64 (pow.f64 (+.f64 x 2) 2))) (fma.f64 (*.f64 1/2 x) x (neg.f64 (+.f64 x 2)))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 1/4 (pow.f64 (*.f64 x x) 2) (*.f64 (+.f64 x 2) (+.f64 (+.f64 x 2) (*.f64 -1/2 (*.f64 x x))))) 0) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 (pow.f64 (+.f64 x 2) 3)) (fma.f64 1/4 (pow.f64 (*.f64 x x) 2) (*.f64 (+.f64 x 2) (+.f64 (+.f64 x 2) (*.f64 -1/2 (*.f64 x x)))))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 x x (*.f64 (fma.f64 (*.f64 1/2 x) x 2) (-.f64 (fma.f64 (*.f64 1/2 x) x 2) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 1/2 x) x 2) 3)) (fma.f64 x x (*.f64 (fma.f64 (*.f64 1/2 x) x 2) (-.f64 (fma.f64 (*.f64 1/2 x) x 2) x)))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 (pow.f64 (+.f64 x 2) 3)) (fma.f64 1/4 (pow.f64 (*.f64 x x) 2) (*.f64 (+.f64 x 2) (+.f64 (+.f64 x 2) (*.f64 -1/2 (*.f64 x x)))))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (*.f64 1/2 x) x 2) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 1/2 x) x 2) 3)) (fma.f64 x x (*.f64 (fma.f64 (*.f64 1/2 x) x 2) (-.f64 (fma.f64 (*.f64 1/2 x) x 2) x)))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (*.f64 1/2 x) x 2) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (*.f64 1/2 x) x 2) 3)) (+.f64 (pow.f64 (fma.f64 (*.f64 1/2 x) x 2) 2) (-.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 1/2 x) x 2))))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 (*.f64 1/2 x) x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 1/2 x) x 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (fma.f64 (*.f64 1/2 x) x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 1 (fma.f64 (*.f64 1/2 x) x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 2) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 1/2 x) x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (fma.f64 (*.f64 1/2 x) x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 (*.f64 1/2 x) x x) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (*.f64 (fma.f64 (*.f64 1/2 x) x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 2)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (*.f64 x x) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 x (cbrt.f64 (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 (*.f64 1/8 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/4) (*.f64 (*.f64 x x) (cbrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 1/4) (*.f64 x x)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 (*.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/4) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))))) (cbrt.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) 1) (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/8 x)) (*.f64 (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (cbrt.f64 1/4) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x)))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 1/2) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 x)) (*.f64 (cbrt.f64 x) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 (*.f64 1/8 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (*.f64 (*.f64 (cbrt.f64 1/4) (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 x (cbrt.f64 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (*.f64 x (cbrt.f64 (*.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 1/2) x) 1) (*.f64 (*.f64 (sqrt.f64 1/2) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 3))))))

simplify742.0ms (5.2%)

Algorithm

1×

egglog

Counts

160 → 171

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (log.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(.f64 1 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))))
(.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))) 1)
(.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))) 3)
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 3) 1/3)
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 3))
(log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (fma.f64 (.f64 1/2 x) x 2))
(fma.f64 1 x (fma.f64 (*.f64 1/2 x) x 2))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 x x)) (+.f64 x 2))
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) (+.f64 x 2))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) (+.f64 x 2))
(fma.f64 (.f64 x (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) (+.f64 x 2))
(fma.f64 x 1 (fma.f64 (*.f64 1/2 x) x 2))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (fma.f64 (.f64 1/2 x) x 2))
(fma.f64 1 (fma.f64 (*.f64 1/2 x) x 2) x)
(fma.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (pow.f64 (+.f64 x 2) 2)) (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (+.f64 x 2))
(fma.f64 1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 (*.f64 x x) 1/2 (+.f64 x 2))
(fma.f64 1 (+.f64 x 2) (.f64 1/2 (.f64 x x)))
(fma.f64 1 (.f64 1/2 (.f64 x x)) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 x 2))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 (*.f64 1/8 x))) (+.f64 x 2))
(fma.f64 (sqrt.f64 1/2) (.f64 (.f64 x x) (sqrt.f64 1/2)) (+.f64 x 2))
(fma.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (+.f64 x 2))
(fma.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (*.f64 x (cbrt.f64 x)) (+.f64 x 2))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2) (+.f64 x 2))
(fma.f64 (.f64 1/2 (.f64 x x)) 1 (+.f64 x 2))
(fma.f64 x (*.f64 1/2 x) (+.f64 x 2))
(fma.f64 (sqrt.f64 2) (sqrt.f64 2) (fma.f64 (*.f64 1/2 x) x x))
(fma.f64 2 1 (fma.f64 (*.f64 1/2 x) x x))
(fma.f64 1 2 (fma.f64 (*.f64 1/2 x) x x))
(fma.f64 (cbrt.f64 (fma.f64 (.f64 1/2 x) x 2)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 2)) x)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) 2)) (cbrt.f64 (+.f64 x 2)) (.f64 1/2 (.f64 x x)))
(fma.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 1 (+.f64 4 (.f64 x (+.f64 x -2)))) (.f64 1/2 (*.f64 x x)))
(fma.f64 (+.f64 x 2) 1 (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 4) (cbrt.f64 2) (fma.f64 (*.f64 1/2 x) x x))
(fma.f64 (cbrt.f64 2) (cbrt.f64 4) (fma.f64 (*.f64 1/2 x) x x))
(if (!=.f64 (+.f64 (+.f64 x 2) (.f64 -1/2 (.f64 x x))) 0) (/.f64 (fma.f64 1/4 (pow.f64 (.f64 x x) 2) (neg.f64 (pow.f64 (+.f64 x 2) 2))) (fma.f64 (.f64 1/2 x) x (neg.f64 (+.f64 x 2)))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(if (!=.f64 (fma.f64 (.f64 1/2 x) x (neg.f64 (+.f64 x 2))) 0) (/.f64 (fma.f64 1/4 (pow.f64 (.f64 x x) 2) (neg.f64 (pow.f64 (+.f64 x 2) 2))) (fma.f64 (.f64 1/2 x) x (neg.f64 (+.f64 x 2)))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (fma.f64 1/4 (pow.f64 (.f64 x x) 2) (.f64 (+.f64 x 2) (+.f64 (+.f64 x 2) (.f64 -1/2 (.f64 x x))))) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/8 (pow.f64 (+.f64 x 2) 3)) (fma.f64 1/4 (pow.f64 (.f64 x x) 2) (.f64 (+.f64 x 2) (+.f64 (+.f64 x 2) (.f64 -1/2 (.f64 x x)))))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (fma.f64 x x (.f64 (fma.f64 (.f64 1/2 x) x 2) (-.f64 (fma.f64 (.f64 1/2 x) x 2) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 3)) (fma.f64 x x (.f64 (fma.f64 (.f64 1/2 x) x 2) (-.f64 (fma.f64 (.f64 1/2 x) x 2) x)))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/8 (pow.f64 (+.f64 x 2) 3)) (fma.f64 1/4 (pow.f64 (.f64 x x) 2) (.f64 (+.f64 x 2) (+.f64 (+.f64 x 2) (.f64 -1/2 (.f64 x x)))))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 3)) (fma.f64 x x (.f64 (fma.f64 (.f64 1/2 x) x 2) (-.f64 (fma.f64 (.f64 1/2 x) x 2) x)))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(if (!=.f64 (+.f64 x 2) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/8 (pow.f64 (+.f64 x 2) 3)) (fma.f64 1/4 (pow.f64 (.f64 x x) 2) (.f64 (+.f64 x 2) (+.f64 (+.f64 x 2) (.f64 -1/2 (.f64 x x)))))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (-.f64 (fma.f64 (.f64 1/2 x) x 2) x) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 2) (.f64 x x)) (-.f64 (fma.f64 (.f64 1/2 x) x 2) x)) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(if (!=.f64 (-.f64 (fma.f64 (.f64 1/2 x) x x) 2) 0) (/.f64 (-.f64 (.f64 (fma.f64 (.f64 1/2 x) x x) (fma.f64 (.f64 1/2 x) x x)) 4) (-.f64 (fma.f64 (.f64 1/2 x) x x) 2)) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (-.f64 x (fma.f64 (.f64 1/2 x) x 2)) 0) (/.f64 (fma.f64 x x (neg.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 2))) (-.f64 x (fma.f64 (.f64 1/2 x) x 2))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (-.f64 2 (fma.f64 (.f64 1/2 x) x x)) 0) (/.f64 (-.f64 4 (.f64 (fma.f64 (.f64 1/2 x) x x) (fma.f64 (.f64 1/2 x) x x))) (-.f64 2 (fma.f64 (.f64 1/2 x) x x))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 2) (-.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 1/2 x) x 2)))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 2) (-.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 1/2 x) x 2))))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (+.f64 (.f64 (fma.f64 (.f64 1/2 x) x x) (fma.f64 (.f64 1/2 x) x x)) (-.f64 4 (.f64 (fma.f64 (.f64 1/2 x) x x) 2))) 0) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(if (!=.f64 (+.f64 4 (-.f64 (.f64 (fma.f64 (.f64 1/2 x) x x) (fma.f64 (.f64 1/2 x) x x)) (.f64 2 (fma.f64 (.f64 1/2 x) x x)))) 0) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(if (!=.f64 (fma.f64 (.f64 1/2 x) x x) 0) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(if (!=.f64 2 0) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 2) (-.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 1/2 x) x 2))))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (fma.f64 (.f64 1/2 x) x 2) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 3)) (fma.f64 x x (.f64 (fma.f64 (.f64 1/2 x) x 2) (-.f64 (fma.f64 (.f64 1/2 x) x 2) x)))) (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(if (!=.f64 (fma.f64 (.f64 1/2 x) x 2) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 3)) (+.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x 2) 2) (-.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 1/2 x) x 2))))) (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(+.f64 x (fma.f64 (*.f64 1/2 x) x 2))
(+.f64 (fma.f64 (*.f64 1/2 x) x 2) x)
(+.f64 (+.f64 (fma.f64 (*.f64 1/2 x) x x) 1) 1)
(+.f64 1 (+.f64 1 (fma.f64 (*.f64 1/2 x) x x)))
(+.f64 (+.f64 x 2) (.f64 1/2 (.f64 x x)))
(+.f64 (.f64 1/2 (.f64 x x)) (+.f64 x 2))
(+.f64 (fma.f64 (*.f64 1/2 x) x x) 2)
(+.f64 2 (fma.f64 (*.f64 1/2 x) x x))
(+.f64 (.f64 (fma.f64 (.f64 1/2 x) x x) 1) 2)
(+.f64 2 (.f64 (fma.f64 (.f64 1/2 x) x x) 1))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)) 2)) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))))
(.f64 1 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))
(.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))) 2) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) 2)) (-.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 (.f64 (+.f64 x 2) (.f64 x x)) 1/2)))) (+.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (.f64 1/2 (.f64 x x)))))
(.f64 (+.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) 2)) (cbrt.f64 (.f64 (.f64 (+.f64 x 2) (.f64 x x)) 1/2)))) (+.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (cbrt.f64 (+.f64 x 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3) 8) (+.f64 (.f64 (fma.f64 (.f64 1/2 x) x x) (fma.f64 (.f64 1/2 x) x x)) (-.f64 4 (.f64 (fma.f64 (.f64 1/2 x) x x) 2))))
(/.f64 (+.f64 8 (pow.f64 (fma.f64 (.f64 1/2 x) x x) 3)) (+.f64 4 (-.f64 (.f64 (fma.f64 (.f64 1/2 x) x x) (fma.f64 (.f64 1/2 x) x x)) (.f64 2 (fma.f64 (.f64 1/2 x) x x)))))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 3)
(pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)) 3))
(.f64 (.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)))
(.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 1/2 (*.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) 1/2)
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 (.f64 1/2 x) x)
(.f64 x (.f64 1/2 x))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(.f64 (.f64 x (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (*.f64 x x)))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 x x) (sqrt.f64 1/2)))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/8 x))))
(.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 1/8 (.f64 x x))))
(.f64 (cbrt.f64 1/4) (.f64 (*.f64 x x) (cbrt.f64 1/2)))
(.f64 (.f64 (cbrt.f64 1/4) (*.f64 x x)) (cbrt.f64 1/2))
(.f64 (.f64 x (cbrt.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 1/4 (*.f64 x x))))
(.f64 (.f64 x (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/4) x))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))))) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 1/2))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 x))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2))
(.f64 (.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) 1) (*.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 (.f64 1/4 (*.f64 x x))) x))
(.f64 (cbrt.f64 (.f64 1/8 x)) (.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 (cbrt.f64 1/2) (.f64 (*.f64 (cbrt.f64 1/4) x) x))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (sqrt.f64 1/2) x) x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 1/2) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 (cbrt.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 x) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 (*.f64 1/8 x))) 1))
(.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (.f64 (sqrt.f64 1/2) x) 1))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 (cbrt.f64 1/4) (.f64 x x)) 1))
(.f64 (sqrt.f64 1/2) (.f64 (.f64 (.f64 x x) (sqrt.f64 1/2)) 1))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 x (cbrt.f64 (.f64 1/8 x)))))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 (.f64 1/8 x)))))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1) (.f64 (*.f64 (sqrt.f64 1/2) x) 1))
(/.f64 (*.f64 x x) 2)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 2)
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/12 (pow.f64 x 3)) (log.f64 2))))
(+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (fma.f64 -1/12 (pow.f64 x 3) (log.f64 2)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 (/.f64 1 x) -2))))
(+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 1 x) -2) x))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)) x))
(+.f64 2 (fma.f64 1/2 (pow.f64 (/.f64 -1 x) -2) x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 1/2 (pow.f64 (/.f64 -1 x) -2))
(.f64 1 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))))
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))) 1)
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 2)))
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (.f64 x x) (+.f64 x 2))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))))
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))) 3)
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 1)
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 3) 1/3)
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2))) 3))
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(log.f64 (fma.f64 1/2 (*.f64 x x) (+.f64 x 2)))
(log.f64 (fma.f64 (*.f64 1/2 x) x (+.f64 2 x)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (fma.f64 (.f64 1/2 x) x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 1 x (fma.f64 (*.f64 1/2 x) x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 x x)) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (.f64 x (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 (*.f64 x x)) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 x 1 (fma.f64 (*.f64 1/2 x) x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (fma.f64 (.f64 1/2 x) x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 1 (fma.f64 (*.f64 1/2 x) x 2) x)
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (cbrt.f64 (+.f64 x 2)) (cbrt.f64 (pow.f64 (+.f64 x 2) 2)) (.f64 1/2 (.f64 x x)))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 1/2 (*.f64 x x) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (*.f64 x x) 1/2 (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 1 (+.f64 x 2) (.f64 1/2 (.f64 x x)))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 1 (.f64 1/2 (.f64 x x)) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (*.f64 1/2 x) x (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 (*.f64 1/8 x))) (+.f64 x 2))
(fma.f64 (*.f64 1/2 x) x (+.f64 2 x))
(fma.f64 (sqrt.f64 1/2) (.f64 (.f64 x x) (sqrt.f64 1/2)) (+.f64 x 2))
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(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 1/2 (*.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x x) 1/2)
(.f64 1/2 (.f64 x x))
(.f64 1 (.f64 1/2 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 1/2 (*.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(.f64 (.f64 1/2 x) x)
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 1/2 x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 (.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 x x) (sqrt.f64 1/2)))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/8 x))))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 1/8 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 1/4) (.f64 (*.f64 x x) (cbrt.f64 1/2)))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (cbrt.f64 1/4) (*.f64 x x)) (cbrt.f64 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x (cbrt.f64 (.f64 1/2 x))) (cbrt.f64 (.f64 1/4 (*.f64 x x))))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 x (cbrt.f64 1/2)) (*.f64 (cbrt.f64 1/4) x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))))) (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 1/2))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 1/2 x))) (cbrt.f64 x))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 1/2)) (cbrt.f64 (*.f64 x x)))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (cbrt.f64 (.f64 x x))) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 2))
(.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) 1) (*.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 (.f64 1/4 (*.f64 x x))) x))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/8 x)) (.f64 (cbrt.f64 (.f64 x x)) x))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 1/2) (.f64 (*.f64 (cbrt.f64 1/4) x) x))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 (sqrt.f64 1/2) x) x))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (.f64 x x)))) (.f64 (cbrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 1/2) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 1/2 x)) (.f64 (cbrt.f64 x) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (.f64 x x)) (.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4))))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 (*.f64 1/8 x))) 1))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (.f64 (sqrt.f64 1/2) x) 1))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 1/2) (.f64 (.f64 (cbrt.f64 1/4) (.f64 x x)) 1))
(.f64 1/2 (.f64 x x))
(.f64 (sqrt.f64 1/2) (.f64 (.f64 (.f64 x x) (sqrt.f64 1/2)) 1))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (.f64 x (cbrt.f64 (.f64 1/8 x)))))
(.f64 1/2 (.f64 x x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (.f64 x (cbrt.f64 (.f64 1/8 x)))))
(.f64 1/2 (.f64 x x))
(.f64 (.f64 (.f64 (sqrt.f64 1/2) x) 1) (.f64 (*.f64 (sqrt.f64 1/2) x) 1))
(.f64 1/2 (.f64 x x))
(/.f64 (*.f64 x x) 2)
(.f64 1/2 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) 3)
(.f64 1/2 (.f64 x x))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) 1/3)
(.f64 1/2 (.f64 x x))
(pow.f64 (.f64 1/2 (.f64 x x)) 1)
(.f64 1/2 (.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 1/2) x) 2)
(.f64 1/2 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3))
(.f64 1/2 (.f64 x x))

localize6.0ms (0%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (+.f64 (.f64 1/8 x) 1/2))
✓	0.0b	(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))
✓	0.0b	(+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2))

Compiler

Compiled 51 to 36 computations (29.4% saved)

series79.0ms (0.6%)

Counts

3 → 43

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))
1.0ms	x	@	-inf	(+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2))
1.0ms	x	@	inf	(.f64 x (+.f64 (.f64 1/8 x) 1/2))
1.0ms	x	@	-inf	(.f64 x (+.f64 (.f64 1/8 x) 1/2))
1.0ms	x	@	-inf	(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))

Compiler

Compiled 2745 to 2145 computations (21.9% saved)

rewrite192.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

116×	`egg-rr`
69×	`egg-rr`
59×	`egg-rr`

Counts

3 → 244

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2))
(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))
(.f64 x (+.f64 (.f64 1/8 x) 1/2))

Outputs

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(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/8 x 1/2)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))) 1) (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 x 1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 x 1/2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)) 1) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (*.f64 (*.f64 1/8 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (+.f64 (cbrt.f64 (*.f64 1/8 x)) (*.f64 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(pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 3))))))

simplify635.0ms (4.5%)

Algorithm

1×

egglog

Counts

287 → 365

Calls

Call 1

Inputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 (-.f64 1/2 y) x) (.f64 1/8 (pow.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 (+.f64 1/2 (.f64 -1 y)) x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 1/2 (.f64 -1 y)) x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 1/2 (.f64 -1 y)) x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(*.f64 1/2 x)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(*.f64 1/8 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 (fma.f64 1/8 x 1/2) x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 1/8 x 1/2)))
(fma.f64 1 (*.f64 x (fma.f64 1/8 x 1/2)) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (fma.f64 1/8 x 1/2)))
(fma.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 1 (log.f64 2))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/8 x 1/2)) (log.f64 2))
(fma.f64 (cbrt.f64 (fma.f64 1/8 x 1/2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x (fma.f64 1/8 x 1/2)))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 2)) (log.f64 2))
(fma.f64 (.f64 (.f64 1/8 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 (.f64 (.f64 x x) 1/64)) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (.f64 1/8 x) x (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/8 x)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 (cbrt.f64 (.f64 1/8 x)) (.f64 (cbrt.f64 (.f64 (.f64 x x) 1/64)) x) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 1/8 x))) (cbrt.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 2)) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (.f64 x x) 1/8 (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 1/8 (.f64 x x) (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 x (.f64 1/8 x) (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 1 (.f64 x (.f64 1/8 x)) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (fma.f64 1/8 x 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 2)) (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2))) (log.f64 2))
(fma.f64 (.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (log.f64 2))
(fma.f64 (*.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) (log.f64 2))
(if (!=.f64 (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 1/2)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 1/2))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 1/8 x 1/2))) 0) (/.f64 (-.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 2) (pow.f64 (log.f64 2) 2)) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 1/2))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (fma.f64 (log.f64 2) (log.f64 2) (.f64 (.f64 x (fma.f64 1/8 x 1/2)) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (*.f64 x (fma.f64 1/8 x 1/2)) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 1/2))))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (log.f64 2) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (*.f64 x (fma.f64 1/8 x 1/2)) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 1/2))))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (.f64 x (fma.f64 1/8 x 1/2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (.f64 x (fma.f64 1/8 x 1/2)) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 1/2))))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (-.f64 (.f64 x (.f64 1/8 x)) (+.f64 (.f64 x 1/2) (log.f64 2))) 0) (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 2) (.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (+.f64 (.f64 x 1/2) (log.f64 2)))) (-.f64 (.f64 x (.f64 1/8 x)) (+.f64 (*.f64 x 1/2) (log.f64 2)))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (-.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (.f64 x 1/2)) 0) (/.f64 (-.f64 (.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x)))) (.f64 (.f64 x x) 1/4)) (-.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (*.f64 x 1/2))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 2) (-.f64 (.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (+.f64 (.f64 x 1/2) (log.f64 2))) (.f64 (.f64 x (.f64 1/8 x)) (+.f64 (.f64 x 1/2) (log.f64 2))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 3) (pow.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) 3)) (+.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 2) (-.f64 (.f64 (+.f64 (.f64 x 1/2) (log.f64 2)) (+.f64 (.f64 x 1/2) (log.f64 2))) (.f64 (.f64 x (.f64 1/8 x)) (+.f64 (*.f64 x 1/2) (log.f64 2)))))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (+.f64 (.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x)))) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (.f64 x 1/2)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x)))) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (*.f64 x 1/2))))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(if (!=.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x)))) (-.f64 (.f64 (.f64 x x) 1/4) (.f64 (+.f64 (log.f64 2) (.f64 x (.f64 1/8 x))) (.f64 x 1/2))))) (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
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(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 3) (pow.f64 (.f64 x 1/2) 3)) (-.f64 (+.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 2) (.f64 (.f64 x x) 1/4)) (.f64 (.f64 x x) (.f64 x 1/16)))) (.f64 x (fma.f64 1/8 x 1/2)))
(if (!=.f64 (.f64 x 1/2) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 2) (.f64 (.f64 x x) (.f64 x 1/16))))) (.f64 x (fma.f64 1/8 x 1/2)))
(if (!=.f64 (.f64 x (.f64 1/8 x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 3) (pow.f64 (.f64 x 1/2) 3)) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 (pow.f64 (.f64 x (.f64 1/8 x)) 2) (.f64 (.f64 x x) (.f64 x 1/16))))) (*.f64 x (fma.f64 1/8 x 1/2)))
(+.f64 (.f64 x (.f64 1/8 x)) (*.f64 x 1/2))
(+.f64 (.f64 x 1/2) (.f64 x (*.f64 1/8 x)))
(*.f64 x (fma.f64 1/8 x 1/2))
(*.f64 (fma.f64 1/8 x 1/2) x)
(.f64 (cbrt.f64 (fma.f64 1/8 x 1/2)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) x))
(.f64 1 (.f64 x (fma.f64 1/8 x 1/2)))
(.f64 (.f64 x (fma.f64 1/8 x 1/2)) 1)
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 1/8 x 1/2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) x) (cbrt.f64 (fma.f64 1/8 x 1/2)))
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (fma.f64 1/8 x 1/2)) (cbrt.f64 x))
(.f64 (.f64 (*.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))) (cbrt.f64 (fma.f64 1/8 x 1/2))) (cbrt.f64 (fma.f64 1/8 x 1/2)))
(.f64 (.f64 (*.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x))
(.f64 (fma.f64 1/512 (pow.f64 x 3) 1/8) (.f64 (/.f64 1 (fma.f64 1/64 (*.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4)))) x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2)))) 2) 2) (cbrt.f64 (*.f64 x (fma.f64 1/8 x 1/2)))))
(.f64 (cbrt.f64 (fma.f64 1/8 x 1/2)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) x) 1))
(.f64 (cbrt.f64 x) (.f64 (.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/8 x 1/2)) 1))
(.f64 (cbrt.f64 (.f64 1/8 x)) (+.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) 1/64)) x) (cbrt.f64 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 1/8 x)) (+.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (.f64 (.f64 x x) 1/64)) x)))
(.f64 (/.f64 (fma.f64 1/512 (pow.f64 x 3) 1/8) (cbrt.f64 (fma.f64 1/64 (.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4))))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/64 (*.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4)))) 2)))
(.f64 (/.f64 (fma.f64 1/512 (pow.f64 x 3) 1/8) 1) (/.f64 x (fma.f64 1/64 (.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4)))))
(.f64 (/.f64 x (cbrt.f64 (fma.f64 1/64 (.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4))))) (/.f64 (fma.f64 1/512 (pow.f64 x 3) 1/8) (pow.f64 (cbrt.f64 (fma.f64 1/64 (*.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4)))) 2)))
(*.f64 (/.f64 x 1) (fma.f64 1/8 x 1/2))
(.f64 (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 2)) (cbrt.f64 (*.f64 x (fma.f64 1/8 x 1/2))))
(.f64 (.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))) (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) (.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x (fma.f64 1/8 x 1/2)))) 2) 2))
(.f64 (.f64 (*.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))) 1) (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)))
(.f64 (.f64 (*.f64 x (cbrt.f64 (fma.f64 1/8 x 1/2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 x 1/2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/8 x 1/2))) 2) 2))
(.f64 (.f64 (*.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 2))
(.f64 (.f64 (.f64 (fma.f64 1/8 x 1/2) (cbrt.f64 x)) 1) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (.f64 (.f64 1/8 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 1/8 x))))
(.f64 (cbrt.f64 (.f64 x x)) (+.f64 (cbrt.f64 (.f64 1/8 x)) (.f64 (*.f64 1/8 x) (cbrt.f64 x))))
(.f64 (.f64 x (fma.f64 1/512 (pow.f64 x 3) 1/8)) (/.f64 1 (fma.f64 1/64 (*.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4)))))
(/.f64 (.f64 x (fma.f64 1/512 (pow.f64 x 3) 1/8)) (fma.f64 1/64 (.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4))))
(/.f64 (.f64 (.f64 x (fma.f64 1/512 (pow.f64 x 3) 1/8)) 1) (fma.f64 1/64 (*.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4))))
(/.f64 (/.f64 (.f64 x (fma.f64 1/512 (pow.f64 x 3) 1/8)) (cbrt.f64 (fma.f64 1/64 (.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4))))) (pow.f64 (cbrt.f64 (fma.f64 1/64 (*.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4)))) 2))
(/.f64 (/.f64 (.f64 x (fma.f64 1/512 (pow.f64 x 3) 1/8)) 1) (fma.f64 1/64 (.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4))))
(/.f64 (.f64 x (neg.f64 (fma.f64 1/512 (pow.f64 x 3) 1/8))) (+.f64 (neg.f64 (.f64 (*.f64 x x) 1/64)) (fma.f64 x 1/16 -1/4)))
(/.f64 (.f64 (neg.f64 (fma.f64 1/512 (pow.f64 x 3) 1/8)) x) (+.f64 (neg.f64 (.f64 (*.f64 x x) 1/64)) (fma.f64 x 1/16 -1/4)))
(/.f64 (.f64 (cbrt.f64 (fma.f64 1/512 (pow.f64 x 3) 1/8)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) x)) (cbrt.f64 (fma.f64 1/64 (*.f64 x x) (neg.f64 (fma.f64 x 1/16 -1/4)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 1/512 (pow.f64 x 3) 1/8))) (+.f64 (neg.f64 (.f64 (*.f64 x x) 1/64)) (fma.f64 x 1/16 -1/4)))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 1/8 x 1/2))) 3)
(pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 1)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 3))

Outputs
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x 1/2 (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (*.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (fma.f64 x 1/2 (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (fma.f64 x 1/2 (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (fma.f64 x 1/2 (log.f64 2)) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (*.f64 x x) (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 (-.f64 1/2 y) x) (.f64 1/8 (pow.f64 (/.f64 1 x) -2)))
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (pow.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (log.f64 2)))
(fma.f64 (-.f64 1/2 y) x (fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (log.f64 2)))
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 (+.f64 1/2 (.f64 -1 y)) x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 1/2 (.f64 -1 y)) x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 1/2 (.f64 -1 y)) x) (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (log.f64 2) (fma.f64 (-.f64 1/2 y) x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 (+.f64 (.f64 1/8 x) 1/2) x) (.f64 -1 (.f64 y x))))
(fma.f64 (neg.f64 y) x (fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/8 (.f64 x x) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/8 (.f64 x x) (.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/8 (.f64 x x) (.f64 1/2 x))
(*.f64 1/8 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (*.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (*.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 (/.f64 1 x) -2)) (.f64 1/2 x))
(fma.f64 1/8 (pow.f64 (/.f64 1 x) -2) (*.f64 1/2 x))
(*.f64 1/8 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/2 x) (.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 1/2 x (*.f64 1/8 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 (fma.f64 1/8 x 1/2) x (log.f64 2))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (fma.f64 1/8 x 1/2)))
(fma.f64 1 (log.f64 2) (*.f64 (fma.f64 1/8 x 1/2) x))
(fma.f64 1 (*.f64 x (fma.f64 1/8 x 1/2)) (log.f64 2))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (fma.f64 1/8 x 1/2)))
(fma.f64 (log.f64 2) 1 (*.f64 (fma.f64 1/8 x 1/2) x))
(fma.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 1 (log.f64 2))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (fma.f64 1/8 x 1/2)) (log.f64 2))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 (fma.f64 1/8 x 1/2)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/8 x 1/2) 2)) x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x (fma.f64 1/8 x 1/2)))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 (fma.f64 1/8 x 1/2) x))
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 1/8 x 1/2))) (cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/8 x 1/2)) 2)) (log.f64 2))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 (.f64 (.f64 1/8 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 (.f64 (.f64 1/8 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 (.f64 (.f64 x x) 1/64)) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (.f64 x (cbrt.f64 (.f64 1/8 x))) (cbrt.f64 (.f64 x (.f64 x 1/64))) (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 (.f64 1/8 x) x (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 x (fma.f64 1/8 x 1/2) (log.f64 2))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (.f64 1/8 x)) (+.f64 (.f64 x 1/2) (log.f64 2)))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (*.f64 1/8 x)) (fma.f64 x 1/2 (log.f64 2)))
(fma.f64 (cbrt.f64 (.f64 1/8 x)) (.f64 (cbrt.f64 (.f64 (.f64 x x) 1/64)) x) (+.f64 (*.f64 x 1/2) (log.f64 2)))
(fma.f64 (cbrt.f64 (.f64 1/8 x)) (.f64 (cbrt.f64 (.f64 x (.f64 x 1/64))) x) (fma.f64 x 1/2 (log.f64 2)))
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(*.f64 (fma.f64 1/8 x 1/2) x)
(pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 1)
(*.f64 (fma.f64 1/8 x 1/2) x)
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 1/8 x 1/2)) 3))
(*.f64 (fma.f64 1/8 x 1/2) x)

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
✓	0.0b	(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))
	0.1b	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 54 to 38 computations (29.6% saved)

series14.0ms (0.1%)

Counts

2 → 4

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))
0.0ms	x	@	-inf	(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))
0.0ms	x	@	0	(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))
0.0ms	x	@	inf	(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
0.0ms	x	@	-inf	(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))

Compiler

Compiled 1445 to 1240 computations (14.2% saved)

rewrite138.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

76×	`egg-rr`
11×	`egg-rr`

Counts

2 → 87

Calls

Call 1

Inputs
(log.f64 (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2) 2) (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 2 x) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 2 x) 1 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 3)) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 x 3)) 1 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/6) x) (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/6 (+.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 1/6 (pow.f64 x 3) 2))))) 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((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (*.f64 x (cbrt.f64 (*.f64 1/6 (+.f64 2 x)))))) (+.f64 (*.f64 (cbrt.f64 1/6) x) (cbrt.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (-.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (*.f64 x (cbrt.f64 (*.f64 1/6 (+.f64 2 x)))))) (+.f64 (cbrt.f64 (+.f64 2 x)) (*.f64 (cbrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 8 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) x) 3)) (+.f64 4 (-.f64 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (*.f64 2 (fma.f64 1/6 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) x) 3) 8) (+.f64 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (-.f64 4 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 3))))))

simplify491.0ms (3.5%)

Algorithm

1×

egglog

Counts

91 → 104

Calls

Call 1

Inputs
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 3)))))
2
(+.f64 2 x)
(*.f64 1 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))
(*.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 1)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2) 2) (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))))
(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) 2) 2))
(pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 3)
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 3))
(log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(fma.f64 1 (+.f64 2 x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(fma.f64 (+.f64 2 x) 1 (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 1/6) (*.f64 (cbrt.f64 1/36) (pow.f64 x 3)) (+.f64 2 x))
(fma.f64 (*.f64 1/6 (pow.f64 x 3)) 1 (+.f64 2 x))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(fma.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (cbrt.f64 1/6) x) (.f64 (cbrt.f64 1/36) (*.f64 x x)) (+.f64 2 x))
(fma.f64 (pow.f64 x 3) 1/6 (+.f64 2 x))
(fma.f64 1 x (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 x 1 (fma.f64 1/6 (pow.f64 x 3) 2))
(fma.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 1 x)
(fma.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) 2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2)) x)
(fma.f64 1 (fma.f64 1/6 (pow.f64 x 3) 2) x)
(fma.f64 (cbrt.f64 2) (cbrt.f64 4) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 4) (cbrt.f64 2) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 (sqrt.f64 2) (sqrt.f64 2) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (cbrt.f64 (+.f64 2 x)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x -2) 4)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 x x) (.f64 1/6 x) (+.f64 2 x))
(fma.f64 (.f64 1/6 (.f64 x x)) x (+.f64 2 x))
(fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (sqrt.f64 1/6) (+.f64 2 x))
(fma.f64 (*.f64 (pow.f64 x 3) (cbrt.f64 1/6)) (cbrt.f64 1/36) (+.f64 2 x))
(fma.f64 (.f64 1/6 x) (.f64 x x) (+.f64 2 x))
(fma.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (*.f64 (cbrt.f64 1/6) x) (+.f64 2 x))
(fma.f64 (sqrt.f64 1/6) (*.f64 (pow.f64 x 3) (sqrt.f64 1/6)) (+.f64 2 x))
(fma.f64 x (.f64 1/6 (.f64 x x)) (+.f64 2 x))
(fma.f64 1 2 (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 2 1 (fma.f64 1/6 (pow.f64 x 3) x))
(if (!=.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x) 0) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (+.f64 2 x) 2))) (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (neg.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x)) 0) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (+.f64 2 x) 2))) (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (fma.f64 (+.f64 2 x) (neg.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x)) (.f64 (pow.f64 (.f64 x x) 3) 1/36)) 0) (/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (+.f64 2 x) 3)) (fma.f64 (+.f64 2 x) (neg.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x)) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (+.f64 2 x) 0) (/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (+.f64 2 x) 3)) (fma.f64 (+.f64 2 x) (neg.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x)) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (.f64 1/6 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (+.f64 2 x) 3)) (fma.f64 (+.f64 2 x) (neg.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) -2) x)) (.f64 (pow.f64 (*.f64 x x) 3) 1/36))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (-.f64 2 (fma.f64 1/6 (pow.f64 x 3) x)) 0) (/.f64 (-.f64 4 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x))) (-.f64 2 (fma.f64 1/6 (pow.f64 x 3) x))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2) 0) (/.f64 (-.f64 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) 4) (-.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (-.f64 x (fma.f64 1/6 (pow.f64 x 3) 2)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2)) (-.f64 x (fma.f64 1/6 (pow.f64 x 3) 2))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (+.f64 4 (-.f64 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (.f64 2 (fma.f64 1/6 (pow.f64 x 3) x)))) 0) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (.f64 x (-.f64 x (fma.f64 1/6 (pow.f64 x 3) 2)))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (.f64 x (-.f64 x (fma.f64 1/6 (pow.f64 x 3) 2))))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (+.f64 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (-.f64 4 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2))) 0) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (+.f64 (.f64 x x) (-.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x))) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x)))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 2 0) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (*.f64 x (-.f64 x (fma.f64 1/6 (pow.f64 x 3) 2))))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x)))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (fma.f64 1/6 (pow.f64 x 3) x) 0) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (*.f64 x (-.f64 x (fma.f64 1/6 (pow.f64 x 3) 2))))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 0) (/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x)))) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(if (!=.f64 (-.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) 2) 2) (*.f64 x x)) (-.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x)) (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 2 x))
(+.f64 (+.f64 2 x) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 x 3) x) 1) 1)
(+.f64 1 (+.f64 1 (fma.f64 1/6 (pow.f64 x 3) x)))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) 2) x)
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) 2))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2)
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 2 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) 1))
(+.f64 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) 1) 2)
(*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2)) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))
(*.f64 1 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(*.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))))
(.f64 (+.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (.f64 x (cbrt.f64 (.f64 1/6 (+.f64 2 x)))))) (+.f64 (.f64 (cbrt.f64 1/6) x) (cbrt.f64 (+.f64 2 x))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (-.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/6 (+.f64 2 x)))))) (+.f64 (cbrt.f64 (+.f64 2 x)) (.f64 (cbrt.f64 1/6) x)))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) 2))
(/.f64 (+.f64 8 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) x) 3)) (+.f64 4 (-.f64 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (.f64 2 (fma.f64 1/6 (pow.f64 x 3) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) x) 3) 8) (+.f64 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (-.f64 4 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2))))
(pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 1)
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 3)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 3))

Outputs
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/8 (pow.f64 x 3)))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) 1/8 (log.f64 2))))
2
(+.f64 2 x)
(*.f64 1 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))
(log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(*.f64 (log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 1)
(log.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
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(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(+.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(+.f64 2 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) 1))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(+.f64 (*.f64 (fma.f64 1/6 (pow.f64 x 3) x) 1) 2)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(*.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2)) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(*.f64 1 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(*.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 1)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 2))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) 2) (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(.f64 (+.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (.f64 x (cbrt.f64 (.f64 1/6 (+.f64 2 x)))))) (+.f64 (.f64 (cbrt.f64 1/6) x) (cbrt.f64 (+.f64 2 x))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 2)) (-.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/6 (+.f64 2 x)))))) (+.f64 (cbrt.f64 (+.f64 2 x)) (.f64 (cbrt.f64 1/6) x)))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(.f64 (.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)))) 2) 2))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(/.f64 (+.f64 8 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) x) 3)) (+.f64 4 (-.f64 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (.f64 2 (fma.f64 1/6 (pow.f64 x 3) x)))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) x) 3) 8) (+.f64 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) (fma.f64 1/6 (pow.f64 x 3) x)) (-.f64 4 (.f64 (fma.f64 1/6 (pow.f64 x 3) x) 2))))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 1)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(pow.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 3) 1/3)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(pow.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))) 3)
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x)) 3))
(fma.f64 1/6 (pow.f64 x 3) (+.f64 2 x))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 1/2 (.f64 x x))
✓	0.0b	(log.f64 (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))) (+.f64 2 x)))
	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	4.3b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))

Compiler

Compiled 92 to 58 computations (37% saved)

series18.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))
0.0ms	x	@	-inf	(log.f64 (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))) (+.f64 2 x)))
0.0ms	x	@	inf	(log.f64 (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))) (+.f64 2 x)))
0.0ms	x	@	inf	(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))

Compiler

Compiled 1695 to 1460 computations (13.9% saved)

rewrite138.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`egg-rr`
10×	`egg-rr`

Counts

2 → 52

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))
(log.f64 (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x))) (+.f64 2 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/8 (*.f64 x x))) (*.f64 x (cbrt.f64 x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 1/6) x) (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/6 (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 x x) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) x (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/2 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) x) (*.f64 (sqrt.f64 1/2) x) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (*.f64 x (cbrt.f64 x)) 1/2) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 (*.f64 x x)) 1 (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/2 x) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 1/6 x) 1/2)) 0) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2))) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/6 x) 1/2))) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 1/6 x))) 0) (/.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (*.f64 1/2 (*.f64 x x)) 2))) (*.f64 (*.f64 x x) (-.f64 (*.f64 1/6 x) 1/2))) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 1/6 x))) (*.f64 (pow.f64 (*.f64 x x) 3) 1/36)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (*.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 1/6 x))) (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 (*.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (*.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 1/6 x))) (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/6 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (*.f64 x x) 3) (*.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 1/6 x))) (*.f64 (pow.f64 (*.f64 x x) 3) 1/36))) (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))) 2) 2) (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 1/2 x) (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 1/6 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 (*.f64 1/6 (*.f64 x x)) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (-.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (*.f64 x (cbrt.f64 (*.f64 1/6 (*.f64 1/2 (*.f64 x x))))))) (+.f64 (cbrt.f64 (*.f64 1/2 (*.f64 x x))) (*.f64 (cbrt.f64 1/6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (cbrt.f64 1/36) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (*.f64 x (cbrt.f64 (*.f64 1/6 (*.f64 1/2 (*.f64 x x))))))) (+.f64 (*.f64 (cbrt.f64 1/6) x) (cbrt.f64 (*.f64 1/2 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 2)) (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 2)) (cbrt.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))))))

simplify278.0ms (2%)

Algorithm

1×

egglog

Counts

64 → 70

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -5/192 (pow.f64 x 4)))))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (cbrt.f64 1/6) x) (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(fma.f64 (pow.f64 x 3) 1/6 (.f64 1/2 (.f64 x x)))
(fma.f64 (.f64 x x) 1/2 (.f64 1/6 (pow.f64 x 3)))
(fma.f64 1/2 (.f64 x x) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/2 (.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))
(fma.f64 (.f64 1/2 x) x (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 1/2 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) 1/2) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 1/2 (.f64 x x)) 1 (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 1/2) (.f64 (.f64 x x) (sqrt.f64 1/2)) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 1/2 x) (.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2) (*.f64 1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (*.f64 1/6 (pow.f64 x 3)))
(if (!=.f64 (.f64 (.f64 x x) (-.f64 (.f64 1/6 x) 1/2)) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2))) (.f64 (.f64 x x) (-.f64 (.f64 1/6 x) 1/2))) (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(if (!=.f64 (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2))) (.f64 (.f64 x x) (-.f64 (.f64 1/6 x) 1/2))) (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(if (!=.f64 (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(if (!=.f64 (.f64 1/6 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))
(.f64 1 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) 1)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))) 2) 2) (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 x (+.f64 (.f64 1/2 x) (.f64 1/6 (.f64 x x))))
(.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2))
(.f64 x (+.f64 (.f64 1/6 (.f64 x x)) (.f64 1/2 x)))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x)))) (cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 2)))
(.f64 (+.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (-.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/6 (.f64 1/2 (.f64 x x))))))) (+.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 1/6) x)))
(.f64 (+.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (-.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (.f64 x (cbrt.f64 (.f64 1/6 (.f64 1/2 (.f64 x x))))))) (+.f64 (.f64 (cbrt.f64 1/6) x) (cbrt.f64 (.f64 1/2 (.f64 x x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) 2)) (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))))
(pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 1)
(pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))) 3)
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 3))
(.f64 1 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))))
(.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))))) 2))
(.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))) 2)) (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))))
(pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))) 3)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 3))
(log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(.f64 (.f64 1/2 x) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 1/6 (pow.f64 (/.f64 1 x) -3) (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 1/6 (pow.f64 (/.f64 1 x) -3) (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 1/2 (pow.f64 (/.f64 1 x) -2)) (.f64 1/6 (pow.f64 (/.f64 1 x) -3)))
(fma.f64 1/6 (pow.f64 (/.f64 1 x) -3) (*.f64 1/2 (pow.f64 (/.f64 1 x) -2)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -1/6 (pow.f64 (/.f64 -1 x) -3) (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -1/6 (pow.f64 (/.f64 -1 x) -3) (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 x) -3)) (.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 -1/6 (pow.f64 (/.f64 -1 x) -3) (*.f64 1/2 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/2)) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 -5/192 (pow.f64 x 4)))))
(+.f64 (.f64 x (+.f64 (.f64 x 1/8) 1/2)) (fma.f64 (pow.f64 x 4) -5/192 (log.f64 2)))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) (.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/8 (.f64 x x))) (.f64 x (cbrt.f64 x)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 1/6 (pow.f64 x 3) (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (cbrt.f64 1/6) x) (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (pow.f64 x 3) 1/6 (.f64 1/2 (.f64 x x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 x x) 1/2 (.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 1/2 (.f64 x x) (.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 1 (.f64 1/2 (.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 1 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 1/2 x) x (.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (.f64 1/2 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (sqrt.f64 1/2) x) (.f64 (sqrt.f64 1/2) x) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 x (cbrt.f64 x)) 1/2) (.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 1/2 (.f64 x x)) 1 (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/2)) (cbrt.f64 1/4) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (sqrt.f64 1/2) (.f64 (.f64 x x) (sqrt.f64 1/2)) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 x (.f64 1/2 x) (.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/2)) (sqrt.f64 1/2) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(fma.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (cbrt.f64 (.f64 1/2 (.f64 x x))) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(if (!=.f64 (.f64 (.f64 x x) (-.f64 (.f64 1/6 x) 1/2)) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2))) (.f64 (.f64 x x) (-.f64 (.f64 1/6 x) 1/2))) (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(if (!=.f64 (.f64 x (.f64 x (fma.f64 1/6 x -1/2))) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/36 (neg.f64 (.f64 1/4 (pow.f64 x 4)))) (.f64 x (.f64 x (fma.f64 1/6 x -1/2)))) (.f64 (.f64 x x) (fma.f64 1/6 x 1/2)))
(if (!=.f64 (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/36 (neg.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 2))) (.f64 (.f64 x x) (-.f64 (.f64 1/6 x) 1/2))) (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(if (!=.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 1/6 x -1/2)))) 0) (/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 1/36 (neg.f64 (.f64 1/4 (pow.f64 x 4)))) (.f64 x (.f64 x (fma.f64 1/6 x -1/2)))) (.f64 (.f64 x x) (fma.f64 1/6 x 1/2)))
(if (!=.f64 (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(if (!=.f64 (fma.f64 (.f64 (.f64 1/2 x) x) (neg.f64 (.f64 x (.f64 x (fma.f64 1/6 x -1/2)))) (.f64 (pow.f64 (.f64 x x) 3) 1/36)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 1/6 (pow.f64 x 3)) 3)) (fma.f64 (.f64 (.f64 1/2 x) x) (neg.f64 (.f64 x (.f64 x (fma.f64 1/6 x -1/2)))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (fma.f64 1/6 x 1/2)))
(if (!=.f64 (.f64 1/2 (.f64 x x)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(if (!=.f64 (.f64 (.f64 1/2 x) x) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 1/6 (pow.f64 x 3)) 3)) (fma.f64 (.f64 (.f64 1/2 x) x) (neg.f64 (.f64 x (.f64 x (fma.f64 1/6 x -1/2)))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (fma.f64 1/6 x 1/2)))
(if (!=.f64 (.f64 1/6 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (.f64 1/216 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (.f64 1/2 (.f64 x x)) (.f64 (.f64 x x) (-.f64 1/2 (.f64 1/6 x))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))
(if (!=.f64 (.f64 1/6 (pow.f64 x 3)) 0) (/.f64 (fma.f64 1/8 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 1/6 (pow.f64 x 3)) 3)) (fma.f64 (.f64 (.f64 1/2 x) x) (neg.f64 (.f64 x (.f64 x (fma.f64 1/6 x -1/2)))) (.f64 (pow.f64 (.f64 x x) 3) 1/36))) (.f64 (*.f64 x x) (fma.f64 1/6 x 1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (*.f64 x x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(+.f64 (.f64 1/2 (.f64 x x)) (*.f64 1/6 (pow.f64 x 3)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 1 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) 1)
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))))) 2) 2) (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))))))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 x (+.f64 (.f64 1/2 x) (.f64 1/6 (.f64 x x))))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (.f64 x x) (+.f64 (*.f64 1/6 x) 1/2))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 x (+.f64 (.f64 1/6 (.f64 x x)) (.f64 1/2 x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x)))) (cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 2)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (+.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (-.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (.f64 x (cbrt.f64 (.f64 1/6 (.f64 1/2 (.f64 x x))))))) (+.f64 (cbrt.f64 (.f64 1/2 (.f64 x x))) (.f64 (cbrt.f64 1/6) x)))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (+.f64 (.f64 (cbrt.f64 1/36) (.f64 x x)) (-.f64 (.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 1/4)) (.f64 x (cbrt.f64 (.f64 1/6 (.f64 1/2 (.f64 x x))))))) (+.f64 (.f64 (cbrt.f64 1/6) x) (cbrt.f64 (.f64 1/2 (.f64 x x)))))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) 2)) (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 1)
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(pow.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 3) 1/3)
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x)))) 3)
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) 3))
(.f64 (.f64 x x) (fma.f64 1/6 x 1/2))
(.f64 1 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))))
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))) 1)
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))))) 2))
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 2)))
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 x))) (+.f64 2 x))) 2)) (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))))
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 1)
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 3) 1/3)
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))) 3)
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x))) 3))
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))
(log.f64 (+.f64 (.f64 (.f64 x x) (+.f64 1/2 (*.f64 1/6 x))) (+.f64 2 x)))
(log.f64 (fma.f64 (*.f64 x x) (fma.f64 1/6 x 1/2) (+.f64 2 x)))

eval783.0ms (5.5%)

Compiler: Compiled 24052 to 15948 computations (33.7% saved)

prune203.0ms (1.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	831	1	832
Fresh	1	0	1
Picked	1	0	1
Done	2	5	7
Total	835	6	841

Error

0.2b

Counts

841 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.1b	(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))
▶	7.6b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	16.0b	(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
✓	4.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	36.8b	(neg.f64 (*.f64 x y))

Compiler

Compiled 61 to 44 computations (27.9% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
✓	0.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 30 to 20 computations (33.3% saved)

series11.0ms (0.1%)

Counts

2 → 15

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms	y	@	0	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
0.0ms	x	@	inf	(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms	x	@	-inf	(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
0.0ms	x	@	-inf	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 1135 to 805 computations (29.1% saved)

rewrite178.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

94×	`egg-rr`
37×	`egg-rr`

Counts

2 → 131

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) 1 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/2)) (cbrt.f64 1/4) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 1/8)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/8 x)) (cbrt.f64 (*.f64 x x)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 1/2 x (log.f64 1/2)) 0) (/.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 1/2) (log.f64 2))) (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (log.f64 2) (*.f64 1/2 x)) 0) (/.f64 (fma.f64 1/4 (*.f64 x x) (*.f64 (log.f64 1/2) (log.f64 2))) (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2))))) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (log.f64 2) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2))))) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 1/2 x) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2))))) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/2 x) 0) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (-.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (*.f64 (*.f64 1/2 x) (log.f64 2))))) (+.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (-.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 (*.f64 1/2 x) (log.f64 2))))) (+.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 x) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/2 x) 1 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) x) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/2)) (cbrt.f64 1/4) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 1/8)) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 x y) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x y)) (neg.f64 (cbrt.f64 (pow.f64 (*.f64 x y) 2))) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) y (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) x (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (neg.f64 x) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 y) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (log.f64 2) (*.f64 x y)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/2 x)) (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 x (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/2 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/4 (*.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/8 x)) (cbrt.f64 (*.f64 x x)) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2)) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x (-.f64 1/2 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (*.f64 x y)) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 x y))) (cbrt.f64 (pow.f64 (*.f64 x y) 2)) (fma.f64 1/2 x (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (log.f64 2) (*.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (+.f64 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simplify658.0ms (4.6%)

Algorithm

1×

egglog

Counts

146 → 161

Calls

Call 1

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

Outputs
(*.f64 1/2 x)
(*.f64 1/2 x)
(*.f64 (-.f64 1/2 y) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (*.f64 1/2 x) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 1/2 x) 1 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) x) (log.f64 2))
(fma.f64 (*.f64 x (cbrt.f64 1/2)) (cbrt.f64 1/4) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 1/8)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/4 (*.f64 x x))) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 x 1/2 (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (*.f64 1/2 x)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/8 x)) (cbrt.f64 (.f64 x x)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (sqrt.f64 1/2) (*.f64 x (sqrt.f64 1/2)) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(if (!=.f64 (fma.f64 1/2 x (log.f64 1/2)) 0) (/.f64 (fma.f64 1/4 (.f64 x x) (.f64 (log.f64 1/2) (log.f64 2))) (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (-.f64 (log.f64 2) (.f64 1/2 x)) 0) (/.f64 (fma.f64 1/4 (.f64 x x) (*.f64 (log.f64 1/2) (log.f64 2))) (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (+.f64 (log.f64 2) (.f64 -1/2 x)) 0) (/.f64 (fma.f64 1/4 (.f64 x x) (*.f64 (log.f64 1/2) (log.f64 2))) (fma.f64 1/2 x (log.f64 1/2))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (fma.f64 (log.f64 2) (log.f64 2) (.f64 (.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2)))) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2))))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (fma.f64 (log.f64 2) (log.f64 2) (.f64 1/2 (.f64 x (fma.f64 1/2 x (log.f64 1/2))))) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 1/2 (.f64 x (fma.f64 1/2 x (log.f64 1/2)))))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (log.f64 2) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2))))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (log.f64 2) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 1/2 (.f64 x (fma.f64 1/2 x (log.f64 1/2)))))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (.f64 1/2 x) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 (*.f64 1/2 x) (fma.f64 1/2 x (log.f64 1/2))))) (fma.f64 1/2 x (log.f64 2)))
(if (!=.f64 (.f64 1/2 x) 0) (/.f64 (fma.f64 1/8 (pow.f64 x 3) (pow.f64 (log.f64 2) 3)) (fma.f64 (log.f64 2) (log.f64 2) (.f64 1/2 (*.f64 x (fma.f64 1/2 x (log.f64 1/2)))))) (fma.f64 1/2 x (log.f64 2)))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(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 (+.f64 (*.f64 1/2 x) 0) (log.f64 2))
(fma.f64 1/2 x (log.f64 2))
(+.f64 0 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 1 (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2))
(fma.f64 1/2 x (log.f64 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)))
(fma.f64 1/2 x (log.f64 2))
(.f64 (+.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (-.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (.f64 (.f64 1/2 x) (log.f64 2))))) (+.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (-.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (.f64 (.f64 1/2 x) (log.f64 2))))) (+.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (.f64 1/2 x))))
(fma.f64 1/2 x (log.f64 2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) 3)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (fma.f64 1/2 x (log.f64 2)) 1)
(fma.f64 1/2 x (log.f64 2))
(pow.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) 1/3)
(fma.f64 1/2 x (log.f64 2))
(cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3))
(fma.f64 1/2 x (log.f64 2))
(fma.f64 1 (.f64 1/2 x) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (.f64 1/2 x) 1 (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 1/4) x) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 1/4) x) (fma.f64 (neg.f64 y) x (log.f64 2)))
(fma.f64 (.f64 x (cbrt.f64 1/2)) (cbrt.f64 1/4) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 x x) 1/8)) (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (log.f64 2) 1 (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 -1 (*.f64 x y) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 x y)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2))) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (neg.f64 x) y (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (neg.f64 y) x (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 y (neg.f64 x) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x (neg.f64 y) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (-.f64 (log.f64 2) (.f64 x y)) (.f64 1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/2 x)) (cbrt.f64 (.f64 1/4 (.f64 x x))) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1/2 x (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 x 1/2 (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (fma.f64 1/2 x (log.f64 2)) 1 (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/4 (.f64 x x))) (cbrt.f64 (.f64 1/2 x)) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (.f64 1/8 x)) (cbrt.f64 (.f64 x x)) (-.f64 (log.f64 2) (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (sqrt.f64 1/2) (.f64 x (sqrt.f64 1/2)) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 2) 2)) (cbrt.f64 (log.f64 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (pow.f64 (log.f64 2) 2)) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 1 (neg.f64 (*.f64 x y)) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (cbrt.f64 (pow.f64 (.f64 x y) 2)) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 2) (.f64 x y))) (cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (.f64 x y)) 2)) (*.f64 1/2 x))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 0 0 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(fma.f64 1 0 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(if (!=.f64 (fma.f64 1/2 x (log.f64 2)) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 y))) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (!=.f64 (fma.f64 1/2 x (log.f64 2)) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 y x) (fma.f64 (+.f64 1/2 y) x (log.f64 2)) (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
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(if (!=.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 y))) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (.f64 x y) 2)) (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 y)))) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (!=.f64 (fma.f64 (+.f64 1/2 y) x (log.f64 2)) 0) (/.f64 (-.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2) (pow.f64 (*.f64 y x) 2)) (fma.f64 (+.f64 1/2 y) x (log.f64 2))) (fma.f64 x (-.f64 1/2 y) (log.f64 2)))
(+.f64 (.f64 1/2 x) (-.f64 (log.f64 2) (.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (-.f64 (log.f64 2) (.f64 x y)) (.f64 1/2 x))
(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 (*.f64 x (-.f64 1/2 y)) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (-.f64 0 (*.f64 x (-.f64 y 1/2))) (log.f64 2))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 (.f64 x (-.f64 1/2 y)) 1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (fma.f64 1/2 x (log.f64 2)) (neg.f64 (*.f64 x y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (neg.f64 (*.f64 x y)) (fma.f64 1/2 x (log.f64 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 0 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (neg.f64 (.f64 x y)) (.f64 -1 (neg.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (neg.f64 (.f64 x y)) (.f64 (neg.f64 (fma.f64 1/2 x (log.f64 2))) -1))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (neg.f64 (*.f64 x y)) (neg.f64 (neg.f64 (fma.f64 1/2 x (log.f64 2)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (fma.f64 1/2 x (log.f64 2)) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (+.f64 (fma.f64 1/2 x (log.f64 2)) 0) (*.f64 x y))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x (-.f64 y 1/2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 0 (+.f64 (log.f64 1/2) (*.f64 x (-.f64 y 1/2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (neg.f64 (*.f64 x y)) (neg.f64 (fma.f64 1/2 x (log.f64 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(-.f64 (*.f64 1/2 x) (fma.f64 x y (log.f64 1/2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 1 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 -1 (+.f64 (log.f64 1/2) (.f64 x (-.f64 y 1/2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (+.f64 (log.f64 1/2) (.f64 x (-.f64 y 1/2))) -1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (neg.f64 (cbrt.f64 (+.f64 (log.f64 1/2) (.f64 x (-.f64 y 1/2))))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (+.f64 (cbrt.f64 (pow.f64 (.f64 x y) 2)) (cbrt.f64 (.f64 (fma.f64 1/2 x (log.f64 2)) (.f64 x y))))) (-.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))) (cbrt.f64 (*.f64 x y))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (cbrt.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y)))) (cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 2)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))) 2)) (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(.f64 (cbrt.f64 (+.f64 (log.f64 1/2) (.f64 x (-.f64 y 1/2)))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (cbrt.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))) 3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 1)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3) 1/3)
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(neg.f64 (+.f64 (log.f64 1/2) (*.f64 x (-.f64 y 1/2))))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(neg.f64 (-.f64 (+.f64 (log.f64 1/2) (*.f64 x (-.f64 y 1/2))) 0))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(cbrt.f64 (pow.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) 3))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))

eval163.0ms (1.1%)

Compiler: Compiled 4027 to 2859 computations (29% saved)

prune37.0ms (0.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	156	5	161
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	158	9	167

Error

0.2b

Counts

167 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	7.6b	(fma.f64 (.f64 x (sqrt.f64 1/2)) (sqrt.f64 1/2) (-.f64 (log.f64 2) (.f64 x y)))
✓	11.1b	(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))
	10.2b	(-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 x (log.f64 2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 x (log.f64 2)))) 2)) (*.f64 x y))
	43.8b	(-.f64 (.f64 1/2 x) (.f64 x y))
✓	0.5b	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
	7.6b	(-.f64 (log.f64 2) (*.f64 x (-.f64 y 1/2)))
✓	4.4b	(-.f64 (log.f64 2) (*.f64 x y))
	43.8b	(*.f64 (-.f64 1/2 y) x)
✓	36.8b	(neg.f64 (*.f64 x y))

Compiler

Compiled 112 to 86 computations (23.2% saved)

regimes67.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

26.0ms	x
15.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
9.0ms	y

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 249 to 154 computations (38.2% saved)

regimes39.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

Inputs
(neg.f64 (*.f64 x y))
(*.f64 (-.f64 1/2 y) x)
(-.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (log.f64 2) (*.f64 x y))
(-.f64 (log.f64 2) (*.f64 x (-.f64 y 1/2)))
(-.f64 (log.f64 (+.f64 2 x)) (*.f64 x y))
(-.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) (.f64 x y))
(-.f64 (log.f64 (+.f64 (+.f64 x 2) (.f64 1/2 (.f64 x x)))) (*.f64 x y))
(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))

Outputs
(neg.f64 (*.f64 x y))
(-.f64 (+.f64 (.f64 x (+.f64 (.f64 1/8 x) 1/2)) (log.f64 2)) (*.f64 x y))

Calls

2 calls:

24.0ms	x
11.0ms	y

Results

Error	Segments	Branch
0.4b	2	`x`
4.4b	1	`y`

Compiler

Compiled 84 to 50 computations (40.5% saved)

bsearch82.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
82.0ms	-8158794745428195.0	-897064526.0676479

Results

41.0ms	44×	body	1024	valid
28.0ms	85×	body	256	valid
6.0ms	14×	body	512	valid
1.0ms	1×	body	2048	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 232 to 174 computations (25% saved)

regimes56.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
10.0ms	y

Results

Error	Segments	Branch
0.4b	2	`x`
4.4b	1	`y`

Compiler

Compiled 70 to 41 computations (41.4% saved)

bsearch84.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
84.0ms	-8158794745428195.0	-897064526.0676479

Results

35.0ms	38×	body	1024	valid
30.0ms	84×	body	256	valid
9.0ms	21×	body	512	valid
5.0ms	3×	body	256	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 232 to 165 computations (28.9% saved)

regimes39.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	x
11.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
4.4b	1	`y`

Compiler

Compiled 56 to 33 computations (41.1% saved)

bsearch73.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
73.0ms	-8158794745428195.0	-897064526.0676479

Results

34.0ms	40×	body	1024	valid
25.0ms	83×	body	256	valid
9.0ms	20×	body	512	valid
1.0ms	1×	body	2048	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes29.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
11.0ms	y

Results

Error	Segments	Branch
0.8b	2	`x`
4.4b	1	`y`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch49.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
48.0ms	-8158794745428195.0	-897064526.0676479

Results

28.0ms	41×	body	1024	valid
11.0ms	83×	body	256	valid
7.0ms	20×	body	512	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

regimes12.0ms (0.1%)

Accuracy

Total -7.2b remaining (-19.7%)

Threshold costs -7.2b (-19.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
3.0ms	y

Results

Error	Segments	Branch
36.8b	1	`x`
36.8b	1	`y`

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 97 to 64 computations (34% saved)

soundness0.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

end61.0ms (0.4%)

Compiler: Compiled 87 to 45 computations (48.3% saved)

Details

analyze244.0ms (1.7%)

sample3.6s (25.7%)

preprocess164.0ms (1.2%)

simplify73.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.1%)

series47.0ms (0.3%)

rewrite98.0ms (0.7%)

simplify484.0ms (3.4%)

localize17.0ms (0.1%)

series10.0ms (0.1%)

rewrite108.0ms (0.8%)

simplify206.0ms (1.5%)

eval76.0ms (0.5%)

prune30.0ms (0.2%)

localize9.0ms (0.1%)

localize9.0ms (0.1%)

series13.0ms (0.1%)

rewrite99.0ms (0.7%)

simplify161.0ms (1.1%)

localize23.0ms (0.2%)

series18.0ms (0.1%)

rewrite128.0ms (0.9%)

simplify153.0ms (1.1%)

localize63.0ms (0.4%)

series60.0ms (0.4%)

rewrite159.0ms (1.1%)

simplify1.1s (7.9%)

localize73.0ms (0.5%)

series50.0ms (0.4%)

rewrite177.0ms (1.2%)

simplify368.0ms (2.6%)

eval518.0ms (3.7%)

prune130.0ms (0.9%)

localize21.0ms (0.1%)

series22.0ms (0.2%)

rewrite118.0ms (0.8%)

simplify742.0ms (5.2%)

localize6.0ms (0%)

localize24.0ms (0.2%)

series79.0ms (0.6%)

rewrite192.0ms (1.4%)

simplify635.0ms (4.5%)

localize23.0ms (0.2%)

series14.0ms (0.1%)

rewrite138.0ms (1%)

simplify491.0ms (3.5%)

localize40.0ms (0.3%)

series18.0ms (0.1%)

rewrite138.0ms (1%)

simplify278.0ms (2%)

eval783.0ms (5.5%)

prune203.0ms (1.4%)

localize20.0ms (0.1%)

series11.0ms (0.1%)

rewrite178.0ms (1.3%)

simplify658.0ms (4.6%)

eval163.0ms (1.1%)

prune37.0ms (0.3%)

regimes67.0ms (0.5%)

regimes39.0ms (0.3%)

bsearch82.0ms (0.6%)

regimes56.0ms (0.4%)

bsearch84.0ms (0.6%)

regimes39.0ms (0.3%)

bsearch73.0ms (0.5%)

regimes29.0ms (0.2%)

bsearch49.0ms (0.3%)

regimes12.0ms (0.1%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end61.0ms (0.4%)

Profiling