Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0.1%	0%	0%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (25.8%)

Results

1.1s	8252×	body	256	valid
0.0ms	6×	body	256	infinite
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`fma-def`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	17	9
2	18	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	17	9
2	18	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Outputs
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(fma.f64 841/108 x 4/29)

eval1.0ms (0%)

Compiler: Compiled 14 to 12 computations (14.3% saved)

prune5.0ms (0.1%)

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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 841/108 x 4/29)
▶	0.1b	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓	0.1b	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 26 to 23 computations (11.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	inf	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	0	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	inf	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.0ms	x	@	-inf	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite133.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`*-commutative`
694×	`sqrt-prod`
566×	`frac-times`
446×	`swap-sqr`
434×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	16
1	239	16
2	2517	16

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

Inputs
(*.f64 (/.f64 841 108) x)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 707281/11664 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 841/108 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (.f64 841/108 x))) (/.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 4/29 (.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) 1) (/.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) 1) (/.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 4)) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 841/108 x 4/29) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify105.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-/r/`
1018×	`associate-/l/`
440×	`+-commutative`
414×	`distribute-lft-neg-in`
392×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	5842
1	1055	4826
2	4088	4784

Stop Event

1×	node limit

Counts

152 → 194

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(-.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (+.f64 4/29 (exp.f64 (log1p.f64 (*.f64 841/108 x)))) 1)
(-.f64 (/.f64 16/841 (-.f64 4/29 (.f64 841/108 x))) (/.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 4/29 (.f64 841/108 x))))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (.f64 (fma.f64 841/108 x 4/29) (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))
(.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (/.f64 1 (-.f64 4/29 (.f64 841/108 x))))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))
(.f64 (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))
(.f64 (+.f64 (neg.f64 (.f64 707281/11664 (*.f64 x x))) 16/841) (/.f64 1 (neg.f64 (fma.f64 841/108 x -4/29))))
(.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 1 (neg.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x 4/29))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389)) (+.f64 (.f64 707281/11664 (.f64 x x)) (+.f64 16/841 (*.f64 x 29/27))))
(.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 2))) (-.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))
(.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 3))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (-.f64 16/841 (.f64 x 29/27)) (-.f64 (-.f64 16/841 (.f64 x 29/27)) (.f64 707281/11664 (*.f64 x x))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/6))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) 1) (/.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (fma.f64 841/108 x -4/29)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) 1) (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) 1) (/.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (/.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))) (sqrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 4)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(.f64 (sqrt.f64 (.f64 (fma.f64 841/108 x 4/29) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1))
(/.f64 1 (/.f64 (-.f64 4/29 (.f64 841/108 x)) (+.f64 16/841 (.f64 -707281/11664 (*.f64 x x)))))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (/.f64 (fma.f64 841/108 x -4/29) (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))))
(/.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (/.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))) (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (cbrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) (/.f64 (fma.f64 841/108 x -4/29) (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))))
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(/.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) (.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))) (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2)))))
(/.f64 (+.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) 16/841) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 1 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (-.f64 4/29 (.f64 841/108 x)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) 1) (-.f64 4/29 (.f64 841/108 x)))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 707281/11664 (*.f64 x x))) 16/841) 1) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (cbrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 16/841 (.f64 707281/11664 (.f64 x x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) -4096/594823321) (/.f64 1 (fma.f64 841/108 x -4/29))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (*.f64 x 29/27) 2))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) -64/24389))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) 1) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 841/108 x -4/29)))) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) 1) (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (sqrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29))))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 -1 (neg.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841))) (.f64 (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29)))) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (sqrt.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29))) (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))) (+.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) 3) (pow.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) 3)) (+.f64 (.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29))) (+.f64 (.f64 (/.f64 16/841 (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))) (.f64 (/.f64 (.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29))))))
(/.f64 (-.f64 (.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (.f64 (fma.f64 841/108 x -4/29) 16/841)) (pow.f64 (fma.f64 841/108 x -4/29) 2))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) -256/707281) 1) (.f64 (+.f64 16/841 (.f64 707281/11664 (*.f64 x x))) (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) -4096/594823321) 1) (.f64 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (+.f64 256/707281 (pow.f64 (.f64 x 29/27) 2))) (fma.f64 841/108 x -4/29)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) -4096/594823321) 1) (.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) -64/24389) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (.f64 (+.f64 262144/14507145975869 (pow.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 3)) 1) (.f64 (+.f64 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944) (-.f64 4096/594823321 (.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))))) (+.f64 16/841 (.f64 (.f64 841/108 x) (fma.f64 841/108 x -4/29)))))
(/.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(neg.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fabs.f64 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.f64 841/108 x)) 4/29)

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) -1)
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1)
(*.f64 841/108 x)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1) (.f64 841/108 x)) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (exp.f64 (log1p.f64 (.f64 841/108 x)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 841/108 x)) (log1p.f64 (.f64 841/108 x)))) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 841/108 x)))))))
(/.f64 (+.f64 -1 (exp.f64 (.f64 3 (log1p.f64 (.f64 841/108 x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 841/108 x))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (*.f64 841/108 x)))))))
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 707281/11664 x) x))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 841/108 x))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 841/108 x))) 25/29)
(fma.f64 841/108 x 4/29)
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(/.f64 (neg.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 (neg.f64 (.f64 707281/11664 (.f64 x x))) 16/841)) (neg.f64 (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 -64/24389 (neg.f64 (.f64 594823321/1259712 (pow.f64 x 3))))) (neg.f64 (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (.f64 841/108 (.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(neg.f64 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(-.f64 (/.f64 707281/11664 (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x x))) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841) (fma.f64 841/108 x -4/29))
(neg.f64 (/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29))))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (+.f64 16/841 (.f64 841/108 (.f64 x (fma.f64 841/108 x -4/29))))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(fabs.f64 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)

localize19.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)

Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 841/108 x 4/29)
0.0ms	x	@	0	(fma.f64 841/108 x 4/29)
0.0ms	x	@	inf	(fma.f64 841/108 x 4/29)

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1082×	`*-un-lft-identity`
1038×	`pow1`
1018×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	123	9
2	1328	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 841/108 x 4/29)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))))

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1098×	`distribute-lft-in`
1042×	`distribute-rgt-in`
902×	`associate-r`
884×	`fma-def`
776×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	361
1	136	343
2	597	341
3	2639	339
4	7205	339

Stop Event

1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (.f64 841/108 x) 4/29))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(fma.f64 841/108 x 4/29)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 (*.f64 x 707281/11664) x -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (.f64 841/108 x) 4/29))))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (fma.f64 (.f64 x 707281/11664) x 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 16/841 (.f64 x (-.f64 29/27 (.f64 x 707281/11664)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 841/108 (*.f64 x (fma.f64 841/108 x -4/29)) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)

eval122.0ms (2.9%)

Compiler: Compiled 4569 to 3684 computations (19.4% saved)

prune45.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	218	7	225
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	220	7	227

Error

0.0b

Counts

227 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.1b	(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
▶	14.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	0.1b	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
	31.4b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	36.7b	(*.f64 841/108 x)
	26.7b	4/29

Compiler

Compiled 134 to 112 computations (16.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.1b	(*.f64 841/108 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 841/108 x)
0.0ms	x	@	-inf	(*.f64 841/108 x)
0.0ms	x	@	-inf	(+.f64 (*.f64 841/108 x) 4/29)
0.0ms	x	@	inf	(+.f64 (*.f64 841/108 x) 4/29)
0.0ms	x	@	inf	(*.f64 841/108 x)

rewrite62.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1418×	`add-cube-cbrt`
1408×	`add-cbrt-cube`
1394×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	154	16
2	1842	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)) 4/29)))))

simplify93.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-/l*`
970×	`associate-r`
926×	`*-commutative`
782×	`times-frac`
766×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	975
1	253	915
2	888	851
3	3854	767

Stop Event

1×	node limit

Counts

57 → 57

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(exp.f64 (.f64 (log.f64 (.f64 841/108 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(-.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)))
(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) (.f64 x 29/27))))
(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (neg.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (neg.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27)))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.f64 841/108 x)) 4/29)

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(*.f64 841/108 x)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 707281/11664 x) x))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (.f64 841/108 x)) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(fma.f64 841/108 x 4/29)
(-.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (.f64 (.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(.f64 (+.f64 (.f64 707281/11664 (*.f64 x x)) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (.f64 (.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (*.f64 x 29/27)))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (fma.f64 707281/11664 (.f64 x x) (-.f64 16/841 (.f64 x 29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)))
(-.f64 (/.f64 (.f64 (.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (fma.f64 707281/11664 (.f64 x x) (-.f64 16/841 (.f64 x 29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (/.f64 (.f64 (.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (fma.f64 707281/11664 (.f64 x x) (-.f64 16/841 (.f64 x 29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 16/841 (-.f64 (.f64 707281/11664 (.f64 x x)) (.f64 x 29/27))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (fma.f64 707281/11664 (.f64 x x) (-.f64 16/841 (.f64 x 29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(/.f64 (-.f64 16/841 (.f64 707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(-.f64 (/.f64 (.f64 (.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) -16/841)) (neg.f64 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 (.f64 (.f64 707281/11664 x) x) (fma.f64 841/108 x -4/29)) (/.f64 16/841 (fma.f64 841/108 x -4/29)))
(+.f64 (/.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 841/108 x -4/29)) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(fma.f64 (/.f64 707281/11664 (fma.f64 841/108 x -4/29)) (*.f64 x x) (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (neg.f64 (+.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 x 29/27)))))
(.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (/.f64 1 (fma.f64 707281/11664 (.f64 x x) (-.f64 16/841 (.f64 x 29/27)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (-.f64 (.f64 x 707281/11664) 29/27))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (fma.f64 x 707281/11664 -29/27) 16/841))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 1 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (.f64 841/108 x)) 4/29)
(fma.f64 841/108 x 4/29)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	13.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))
1.0ms	x	@	inf	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
1.0ms	x	@	0	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
0.0ms	x	@	inf	(.f64 -707281/11664 (.f64 x x))
0.0ms	x	@	0	(.f64 -707281/11664 (.f64 x x))

rewrite95.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`associate-*r/`
1422×	`associate-*l/`
954×	`associate-/r*`
798×	`associate-/l*`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	295	61
2	3813	61

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(.f64 -707281/11664 (.f64 x x))
(+.f64 16/841 (.f64 -707281/11664 (.f64 x x)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -707281/11664 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -707281/11664 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -707281/11664 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -707281/11664 (*.f64 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x)))) 825/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 256/707281 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) 500246412961/136048896)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (*.f64 -707281/11664 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -707281/11664 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simplify83.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-/r*`
1366×	`unswap-sqr`
1282×	`associate-/r/`
448×	`distribute-lft-neg-in`
400×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	316	5774
1	774	4710
2	3537	4710

Stop Event

1×	node limit

Counts

154 → 186

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))) 1)
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))) 1)
(.f64 1 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108))))
(.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 -1 (-.f64 -4/29 (*.f64 x -841/108)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2) (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))))
(.f64 (/.f64 -1 (-.f64 -4/29 (.f64 x -841/108))) (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(.f64 (neg.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (-.f64 -4/29 (*.f64 x -841/108))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (sqrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (cbrt.f64 (+.f64 4/29 (.f64 x -841/108)))))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (-.f64 4/29 (*.f64 x -841/108)))
(.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (-.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))) (+.f64 16/841 (+.f64 (.f64 (.f64 x x) 707281/11664) (.f64 29/27 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (+.f64 4/29 (.f64 x -841/108))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (+.f64 4/29 (.f64 x -841/108))) 2)) (/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (cbrt.f64 (+.f64 4/29 (*.f64 x -841/108)))))
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(pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 4/29 (.f64 x -841/108)) (fma.f64 -707281/11664 (.f64 x x) 16/841)) -1)
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(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108))) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (*.f64 x -841/108)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) (+.f64 4/29 (.f64 x -841/108)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x)))) 1)
(pow.f64 (.f64 -707281/11664 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(pow.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) -707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -707281/11664 (.f64 x x)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -707281/11664 (.f64 x x))))
(exp.f64 (.f64 (log.f64 (.f64 -707281/11664 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 -707281/11664 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x)))) 825/841)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))) 1)
(-.f64 (/.f64 256/707281 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (/.f64 (pow.f64 x 4) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) 500246412961/136048896)))
(-.f64 (+.f64 16/841 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x))))) 1)
(.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841) 1)
(.f64 1 (fma.f64 -707281/11664 (.f64 x x) 16/841))
(.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(/.f64 1 (/.f64 1 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(/.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))))
(/.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (/.f64 1 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
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(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x)))))
(/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (/.f64 1 (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x)))))))
(/.f64 (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))) (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (/.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (/.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (neg.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (neg.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) (-.f64 (.f64 -707281/11664 (*.f64 x x)) 16/841))
(/.f64 (.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))
(/.f64 (.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) 1) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))))
(/.f64 (.f64 1 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (neg.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (.f64 1 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (neg.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281)) (-.f64 (.f64 -707281/11664 (.f64 x x)) 16/841))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))) (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2) (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)))) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (neg.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) 1) (neg.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (.f64 (neg.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) 1) (neg.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 256/707281) 1) (-.f64 (.f64 -707281/11664 (.f64 x x)) 16/841))
(/.f64 (.f64 (sqrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841))) (sqrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (cbrt.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896))) (pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 2)) (cbrt.f64 (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664))))
(/.f64 (.f64 (-.f64 65536/500246412961 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896))) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (pow.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) 3)) (/.f64 1 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664)))) (+.f64 65536/500246412961 (+.f64 (.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 256/707281 (*.f64 (pow.f64 x 4) 500246412961/136048896)))))
(/.f64 (.f64 (-.f64 16777216/353814783205469041 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944))) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))))) (-.f64 4096/594823321 (.f64 (pow.f64 (*.f64 x x) 3) -353814783205469041/1586874322944)))
(/.f64 (.f64 (+.f64 68719476736/210457284365172120330305161 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 3)) (/.f64 1 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))))) (+.f64 16777216/353814783205469041 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)))))
(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) 1) (+.f64 16/841 (.f64 (*.f64 x x) 707281/11664)))
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(/.f64 (/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (.f64 (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))) (cbrt.f64 (+.f64 16/841 (.f64 (.f64 x x) 707281/11664))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) 1) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(exp.f64 (.f64 (log.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 1 (.f64 -707281/11664 (.f64 x x)) 16/841)
(fma.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x (sqrt.f64 -707281/11664)) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(*.f64 -707281/11664 (pow.f64 x 2))
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(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x 841/729))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x)))))) (sqrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x 841/729))))
(/.f64 (/.f64 (+.f64 4096/594823321 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944)) (.f64 (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))) (cbrt.f64 (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 -841/729 (.f64 x x))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) -353814783205469041/1586874322944) 4096/594823321) (+.f64 256/707281 (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 841/729 (*.f64 x x)))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) -353814783205469041/1586874322944 4096/594823321) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x 841/729))))
(pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 1)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (sqrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 2)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (cbrt.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)) 3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(pow.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3) 1/3)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(sqrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 2))
(fabs.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))
(log.f64 (exp.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841))))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(cbrt.f64 (pow.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841) 3))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(expm1.f64 (log1p.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (log.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(exp.f64 (.f64 (log.f64 (fma.f64 -707281/11664 (.f64 x x) 16/841)) 1))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(log1p.f64 (expm1.f64 (fma.f64 -707281/11664 (*.f64 x x) 16/841)))
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 1 (.f64 -707281/11664 (.f64 x x)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x (sqrt.f64 -707281/11664)) 16/841)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2) 16/841)
(+.f64 16/841 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) 16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (cbrt.f64 (.f64 x (*.f64 x -707281/11664))) 16/841)
(fma.f64 (*.f64 -707281/11664 x) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 841/108 x 4/29)
✓	0.1b	(/.f64 1 (fma.f64 841/108 x 4/29))
✓	0.1b	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 23 to 19 computations (17.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms	x	@	0	(/.f64 1 (fma.f64 841/108 x 4/29))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))

rewrite85.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1582×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1474×	`add-cbrt-cube`
168×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	207	24
2	2070	24

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))))))

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1158×	`unswap-sqr`
974×	`associate-+r+`
710×	`associate-*r/`
708×	`associate-+l+`
548×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	1140
1	309	1106
2	1273	1098
3	6131	1098

Stop Event

1×	node limit

Counts

74 → 80

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(*.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (fma.f64 841/108 x 4/29) 1)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (*.f64 x -707281/1728))
(fma.f64 x -707281/1728 29/4)
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728)))
(+.f64 (fma.f64 x -707281/1728 29/4) (.f64 x (.f64 x 17249876309/746496)))
(fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 29/4))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))) (fma.f64 x -707281/1728 29/4))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 29/4)))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))) (/.f64 -46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)) (/.f64 46656/20511149 (*.f64 x x)))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 108/841 x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))) (/.f64 -46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (-.f64 (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)) (/.f64 46656/20511149 (*.f64 x x)))))
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(fma.f64 841/108 x 4/29)
(*.f64 1 (fma.f64 841/108 x 4/29))
(fma.f64 841/108 x 4/29)
(*.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 -1 (neg.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29)))))
(/.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) -1)
(fma.f64 841/108 x 4/29)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(fma.f64 841/108 x 4/29)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(fma.f64 841/108 x 4/29)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(fma.f64 841/108 x 4/29)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(fma.f64 841/108 x 4/29)
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(fma.f64 841/108 x 4/29)
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(fma.f64 841/108 x 4/29)
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(fma.f64 841/108 x 4/29)
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) -1))
(fma.f64 841/108 x 4/29)
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 -1 (/.f64 -1 (fma.f64 841/108 x 4/29)))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (fma.f64 841/108 x 4/29) -1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 2)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3) 1/3)
(/.f64 1 (fma.f64 841/108 x 4/29))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 3))
(/.f64 1 (fma.f64 841/108 x 4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) -1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(/.f64 1 (fma.f64 841/108 x 4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 1 (fma.f64 841/108 x 4/29))

localize47.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (*.f64 841/108 x) 3)
✓	0.2b	(.f64 707281/11664 (.f64 x x))
✓	0.3b	(.f64 4/29 (.f64 841/108 x))
✓	17.4b	(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))

Compiler

Compiled 77 to 57 computations (26% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (*.f64 841/108 x) 3)
1.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
1.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
1.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
0.0ms	x	@	inf	(.f64 707281/11664 (.f64 x x))

rewrite91.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`associate-/r*`
1008×	`associate-/l*`
400×	`add-sqr-sqrt`
382×	`add-cbrt-cube`
382×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	419	80
2	5390	80

Stop Event

1×	node limit

Counts

4 → 86

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
(.f64 4/29 (.f64 841/108 x))
(.f64 707281/11664 (.f64 x x))
(pow.f64 (*.f64 841/108 x) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

774×	`distribute-lft-in`
768×	`fma-def`
726×	`distribute-rgt-in`
704×	`*-commutative`
658×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	3204
1	550	2998
2	2104	2952

Stop Event

1×	node limit

Counts

134 → 120

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))) 1)
(.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
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(.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(.f64 (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389))
(.f64 (-.f64 -64/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 -1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))
(.f64 (/.f64 1 (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (.f64 x 29/27))))) (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (*.f64 x 29/27))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 2))) (-.f64 (.f64 x (.f64 x 707281/11664)) (-.f64 16/841 (.f64 x 29/27))))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (pow.f64 (.f64 841/108 x) 6) (pow.f64 (-.f64 16/841 (.f64 x 29/27)) 3))) (+.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (-.f64 16/841 (.f64 x 29/27)) (+.f64 16/841 (-.f64 (.f64 -29/27 x) (.f64 x (*.f64 x 707281/11664)))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 1) (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (/.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (.f64 x 29/27))))) (/.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (hypot.f64 (.f64 841/108 x) (sqrt.f64 (-.f64 16/841 (*.f64 x 29/27))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2)) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)) (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) -1)
(neg.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 -16/841 (-.f64 (.f64 x 29/27) (.f64 x (*.f64 x 707281/11664))))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) 3) (pow.f64 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(pow.f64 (*.f64 x 29/27) 1)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(pow.f64 (*.f64 24389/19683 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 841/729 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 29/27) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(cbrt.f64 (*.f64 24389/19683 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(exp.f64 (log.f64 (*.f64 x 29/27)))
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 1)
(pow.f64 (*.f64 841/108 x) 2)
(pow.f64 (.f64 x (.f64 x 707281/11664)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 6) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 707281/11664)))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))
(exp.f64 (log.f64 (.f64 x (.f64 x 707281/11664))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 707281/11664))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 707281/11664))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1)
(.f64 841/108 (.f64 x (.f64 x (.f64 x 707281/11664))))
(.f64 x (.f64 841/108 (.f64 x (.f64 x 707281/11664))))
(.f64 (.f64 841/108 x) (.f64 x (.f64 x 707281/11664)))
(.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 1)
(.f64 (.f64 x (.f64 x 707281/11664)) (.f64 841/108 x))
(.f64 1 (.f64 594823321/1259712 (pow.f64 x 3)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(.f64 (pow.f64 (.f64 841/108 x) 3/2) (pow.f64 (*.f64 841/108 x) 3/2))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 594823321/1259712)
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) 841/108) x)
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108)
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (.f64 841/108 x)))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (cbrt.f64 (.f64 841/108 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 841/108 x)) 3) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 3))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 9))
(expm1.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 594823321/1259712 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x))))) 1)
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))) 1)
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 1 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (sqrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (.f64 (sqrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 2))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))) 2) (cbrt.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) 2) (.f64 (cbrt.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389)) (/.f64 1 (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
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(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(exp.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (*.f64 -29/27 x)))) 1))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 -29/27 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (.f64 x -29/27)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x -29/27 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(*.f64 x 29/27)
(pow.f64 (*.f64 x 29/27) 1)
(*.f64 x 29/27)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(*.f64 x 29/27)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(*.f64 x 29/27)
(pow.f64 (*.f64 24389/19683 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(sqrt.f64 (.f64 841/729 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 841/729))
(sqrt.f64 (.f64 x (.f64 x 841/729)))
(log.f64 (pow.f64 (exp.f64 29/27) x))
(*.f64 x 29/27)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(*.f64 x 29/27)
(cbrt.f64 (*.f64 24389/19683 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (log.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(*.f64 x 29/27)
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664)))) 1)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (*.f64 841/108 x) 2)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (.f64 x (.f64 x 707281/11664)) 1)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 3)
(.f64 x (.f64 x 707281/11664))
(pow.f64 (pow.f64 (*.f64 841/108 x) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 707281/11664))
(.f64 x (.f64 x 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 707281/11664)))))
(.f64 x (.f64 x 707281/11664))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 707281/11664))))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (log.f64 (.f64 x (.f64 x 707281/11664))))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 707281/11664))) 1))
(.f64 x (.f64 x 707281/11664))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 707281/11664))))
(.f64 x (.f64 x 707281/11664))
(-.f64 (exp.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 841/108 (.f64 x (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 x (.f64 841/108 (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 841/108 x) (.f64 x (.f64 x 707281/11664)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 x (.f64 x 707281/11664)) (.f64 841/108 x))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 1 (.f64 594823321/1259712 (pow.f64 x 3)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 (sqrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (pow.f64 (.f64 841/108 x) 3/2) (pow.f64 (*.f64 841/108 x) 3/2))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 x (.f64 x 707281/11664))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 594823321/1259712)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) 841/108) x)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) x) 841/108)
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (.f64 841/108 x)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (cbrt.f64 (.f64 841/108 x)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 841/108 x)) 3) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 3))
(*.f64 594823321/1259712 (pow.f64 x 3))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 6))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 9))
(expm1.f64 (log1p.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 594823321/1259712 (pow.f64 x 3))) 1))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 594823321/1259712 (pow.f64 x 3))))
(*.f64 594823321/1259712 (pow.f64 x 3))

eval446.0ms (10.5%)

Compiler: Compiled 9677 to 7504 computations (22.5% saved)

prune91.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	498	4	502
Fresh	1	1	2
Picked	1	0	1
Done	1	3	4
Total	501	8	509

Error

Counts

509 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.7b	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
✓	14.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
▶	36.8b	(/.f64 1 (/.f64 108/841 x))
▶	26.5b	(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	13.9b	(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
✓	36.7b	(*.f64 841/108 x)
	26.7b	4/29

Compiler

Compiled 65 to 55 computations (15.4% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
✓	0.1b	(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1)
	0.1b	(fma.f64 841/108 x 4/29)
✓	0.1b	(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))

Compiler

Compiled 41 to 35 computations (14.6% saved)

series8.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))
1.0ms	x	@	0	(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1)
1.0ms	x	@	-inf	(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1)
1.0ms	x	@	inf	(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1)
0.0ms	x	@	-inf	(pow.f64 (fma.f64 841/108 x 4/29) -1/2)

rewrite77.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`add-sqr-sqrt`
1910×	`*-un-lft-identity`
1800×	`add-cube-cbrt`
1788×	`add-cbrt-cube`
228×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	258	37
2	2793	37

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs

(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))

(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1)

(pow.f64 (fma.f64 841/108 x 4/29) -1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 841/108 x 4/29) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (fma.f64 841/108 x 4/29))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/4) (pow.f64 (fma.f64 841/108 x 4/29) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/4) (pow.f64 (fma.f64 841/108 x 4/29) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))))

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simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
776×	`*-commutative`
734×	`associate-/r*`
682×	`associate-+r-`
676×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3716
1	695	3240
2	2293	2850
3	7993	2850

Stop Event

1×	node limit

Counts

106 → 175

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(sqrt.f64 4/29)
(+.f64 (.f64 24389/864 (.f64 x (*.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (sqrt.f64 4/29))
(+.f64 (.f64 24389/864 (.f64 x (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -594823321/746496 (.f64 (pow.f64 (sqrt.f64 4/29) 3) (pow.f64 (sqrt.f64 29/4) 2))) (.f64 594823321/497664 (*.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (pow.f64 x 2))) (sqrt.f64 4/29)))
(+.f64 (.f64 24389/864 (.f64 x (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -594823321/746496 (.f64 (pow.f64 (sqrt.f64 4/29) 3) (pow.f64 (sqrt.f64 29/4) 2))) (.f64 594823321/497664 (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (pow.f64 x 2))) (+.f64 (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 (.f64 14507145975869/429981696 (.f64 (pow.f64 (sqrt.f64 4/29) 3) (pow.f64 (sqrt.f64 29/4) 2))) (+.f64 (.f64 -72535729879345/1289945088 (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2))) (.f64 24389/864 (.f64 (+.f64 (.f64 -594823321/746496 (.f64 (pow.f64 (sqrt.f64 4/29) 3) (pow.f64 (sqrt.f64 29/4) 2))) (.f64 594823321/497664 (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (.f64 (sqrt.f64 4/29) (sqrt.f64 29/4)))))))) (sqrt.f64 4/29))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))))
(+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x))))))))
(-.f64 (+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 23328/594823321 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 5038848/14507145975869 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3)))) (+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 23328/594823321 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))))
(+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))))
(-.f64 (+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))))) (.f64 23328/594823321 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x))) (+.f64 (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))) (.f64 5038848/14507145975869 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (pow.f64 x 3)))))) (.f64 23328/594823321 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (pow.f64 x 2)))))
(sqrt.f64 29/4)
(+.f64 (.f64 -24389/864 (.f64 x (sqrt.f64 29/4))) (sqrt.f64 29/4))
(+.f64 (.f64 -24389/864 (.f64 x (sqrt.f64 29/4))) (+.f64 (.f64 594823321/497664 (.f64 (pow.f64 x 2) (sqrt.f64 29/4))) (sqrt.f64 29/4)))
(+.f64 (.f64 -24389/864 (.f64 x (sqrt.f64 29/4))) (+.f64 (.f64 594823321/497664 (.f64 (pow.f64 x 2) (sqrt.f64 29/4))) (+.f64 (.f64 -72535729879345/1289945088 (.f64 (pow.f64 x 3) (sqrt.f64 29/4))) (sqrt.f64 29/4))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 -216/24389 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -216/24389 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x)) (.f64 69984/594823321 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -25194240/14507145975869 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -216/24389 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x)) (.f64 69984/594823321 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (*.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (.f64 -216/24389 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (+.f64 (.f64 -216/24389 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x)) (.f64 69984/594823321 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (pow.f64 x 2)))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (+.f64 (.f64 -216/24389 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x)) (+.f64 (.f64 -25194240/14507145975869 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (pow.f64 x 3))) (.f64 69984/594823321 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (pow.f64 x 2))))))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 1 (pow.f64 (fma.f64 841/108 x 4/29) -1))
(/.f64 (-.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) 16/841) (-.f64 (.f64 841/108 x) 4/29))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (.f64 841/108 x) 4/29))))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -2)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1) -1)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))
(log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 841/108 x 4/29))) -2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 2))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)) -1))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))) 1)
(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/4) (pow.f64 (fma.f64 841/108 x 4/29) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)) -1))
(/.f64 -1 (neg.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(/.f64 1 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.f64 1 (/.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 1))
(/.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/4) (pow.f64 (fma.f64 841/108 x 4/29) -1/4))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(fabs.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))) 1)
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 1)
(*.f64 1 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) (pow.f64 (fma.f64 841/108 x 4/29) -1/4))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1/2))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1))
(log.f64 (exp.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 841/108 x 4/29))))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 841/108 x 4/29)
(sqrt.f64 4/29)
(+.f64 (.f64 24389/864 (.f64 x (*.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (sqrt.f64 4/29))
(fma.f64 24389/864 (.f64 x (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2))) (sqrt.f64 4/29))
(+.f64 (sqrt.f64 4/29) (.f64 (.f64 x (sqrt.f64 29/4)) 841/216))
(fma.f64 (*.f64 x (sqrt.f64 29/4)) 841/216 (sqrt.f64 4/29))
(+.f64 (.f64 24389/864 (.f64 x (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -594823321/746496 (.f64 (pow.f64 (sqrt.f64 4/29) 3) (pow.f64 (sqrt.f64 29/4) 2))) (.f64 594823321/497664 (*.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)))) (pow.f64 x 2))) (sqrt.f64 4/29)))
(fma.f64 24389/864 (.f64 x (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2))) (fma.f64 -1 (.f64 (fma.f64 -594823321/746496 (.f64 (pow.f64 (sqrt.f64 4/29) 3) (pow.f64 (sqrt.f64 29/4) 2)) (.f64 (.f64 (sqrt.f64 29/4) (pow.f64 (sqrt.f64 4/29) 2)) 594823321/497664)) (*.f64 x x)) (sqrt.f64 4/29)))
(+.f64 (sqrt.f64 4/29) (-.f64 (.f64 (.f64 x (sqrt.f64 29/4)) 841/216) (.f64 (fma.f64 -594823321/746496 (.f64 (sqrt.f64 4/29) 1) (.f64 (sqrt.f64 29/4) 20511149/124416)) (.f64 x x))))
(fma.f64 (fma.f64 (sqrt.f64 4/29) -594823321/746496 (.f64 (sqrt.f64 29/4) 20511149/124416)) (neg.f64 (.f64 x x)) (fma.f64 (*.f64 x (sqrt.f64 29/4)) 841/216 (sqrt.f64 4/29)))
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(+.f64 (-.f64 (sqrt.f64 4/29) (.f64 (pow.f64 x 3) (fma.f64 (.f64 (sqrt.f64 4/29) 1) 14507145975869/429981696 (fma.f64 24389/864 (.f64 (sqrt.f64 4/29) (.f64 (sqrt.f64 29/4) (fma.f64 -594823321/746496 (.f64 (sqrt.f64 4/29) 1) (.f64 (sqrt.f64 29/4) 20511149/124416)))) (.f64 (sqrt.f64 29/4) -2501232064805/322486272))))) (-.f64 (.f64 (.f64 x (sqrt.f64 29/4)) 841/216) (.f64 (fma.f64 -594823321/746496 (.f64 (sqrt.f64 4/29) 1) (.f64 (sqrt.f64 29/4) 20511149/124416)) (*.f64 x x))))
(fma.f64 (.f64 x (sqrt.f64 29/4)) 841/216 (-.f64 (sqrt.f64 4/29) (.f64 (.f64 x x) (+.f64 (fma.f64 (sqrt.f64 4/29) -594823321/746496 (.f64 (sqrt.f64 29/4) 20511149/124416)) (.f64 x (fma.f64 (sqrt.f64 4/29) 14507145975869/429981696 (.f64 (sqrt.f64 29/4) (+.f64 -2501232064805/322486272 (.f64 24389/864 (.f64 (sqrt.f64 4/29) (fma.f64 (sqrt.f64 4/29) -594823321/746496 (*.f64 (sqrt.f64 29/4) 20511149/124416))))))))))))
(-.f64 (fma.f64 (.f64 x (sqrt.f64 29/4)) 841/216 (sqrt.f64 4/29)) (.f64 (.f64 x x) (+.f64 (fma.f64 (sqrt.f64 4/29) -594823321/746496 (.f64 (sqrt.f64 29/4) 20511149/124416)) (.f64 x (fma.f64 (sqrt.f64 4/29) 14507145975869/429981696 (.f64 (sqrt.f64 29/4) (+.f64 -2501232064805/322486272 (.f64 24389/864 (.f64 (sqrt.f64 4/29) (fma.f64 (sqrt.f64 4/29) -594823321/746496 (*.f64 (sqrt.f64 29/4) 20511149/124416)))))))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))))
(exp.f64 (neg.f64 (*.f64 -1/2 (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x)))))))
(exp.f64 (*.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2))
(/.f64 1 (*.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2)))
(+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x))))))))
(+.f64 (exp.f64 (neg.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x))))))) (/.f64 216/24389 (.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x))))))))
(fma.f64 216/24389 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2)) x) (exp.f64 (.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2)))
(+.f64 (/.f64 1 (.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2))) (/.f64 (/.f64 216/24389 x) (.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2))))
(-.f64 (+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 23328/594823321 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(+.f64 (/.f64 216/24389 (.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x))))))) (-.f64 (exp.f64 (neg.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x))))))) (/.f64 23328/594823321 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x)))))))))
(+.f64 (fma.f64 216/24389 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2)) x) (exp.f64 (.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2))) (/.f64 -23328/594823321 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (log.f64 x))))))
(+.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2))) (/.f64 (/.f64 216/24389 x) (.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2)))) (/.f64 -23328/594823321 (.f64 (.f64 x x) (*.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2)))))
(-.f64 (+.f64 (.f64 5038848/14507145975869 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3)))) (+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 23328/594823321 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (/.f64 5038848/14507145975869 (.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x))))))) (/.f64 216/24389 (.f64 x (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x)))))))) (exp.f64 (neg.f64 (.f64 -1/2 (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x)))))))) (/.f64 23328/594823321 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (neg.f64 (neg.f64 (log.f64 x))))))))
(+.f64 (fma.f64 5038848/14507145975869 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2)) (pow.f64 x 3)) (fma.f64 216/24389 (/.f64 (exp.f64 (.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2)) x) (exp.f64 (.f64 (+.f64 (log.f64 841/108) (log.f64 x)) 1/2)))) (/.f64 -23328/594823321 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 841/108) (log.f64 x))))))
(+.f64 (/.f64 (/.f64 216/24389 x) (.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2))) (+.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2))) (/.f64 5038848/14507145975869 (.f64 (pow.f64 x 3) (.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2))))) (/.f64 -23328/594823321 (.f64 (.f64 x x) (*.f64 (pow.f64 841/108 -1/2) (pow.f64 x -1/2))))))
(/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))))
(exp.f64 (neg.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -841/108)))))
(exp.f64 (*.f64 (-.f64 (log.f64 -841/108) (log.f64 (/.f64 -1 x))) 1/2))
(/.f64 (/.f64 1 (pow.f64 (/.f64 -1 x) 1/2)) (pow.f64 -841/108 -1/2))
(+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108))))))
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(fma.f64 216/24389 (/.f64 (exp.f64 (.f64 (-.f64 (log.f64 -841/108) (log.f64 (/.f64 -1 x))) 1/2)) x) (exp.f64 (.f64 (-.f64 (log.f64 -841/108) (log.f64 (/.f64 -1 x))) 1/2)))
(+.f64 (/.f64 (/.f64 1 (pow.f64 (/.f64 -1 x) 1/2)) (pow.f64 -841/108 -1/2)) (/.f64 (/.f64 (/.f64 216/24389 (pow.f64 (/.f64 -1 x) 1/2)) (pow.f64 -841/108 -1/2)) x))
(-.f64 (+.f64 (.f64 216/24389 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) x))) (/.f64 1 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))))) (.f64 23328/594823321 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -841/108)))) (pow.f64 x 2)))))
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(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) -1))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)) -1) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))
(/.f64 -1 (neg.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(/.f64 1 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(/.f64 1 (/.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 1))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(/.f64 (pow.f64 (fma.f64 841/108 x 4/29) 1/4) (pow.f64 (fma.f64 841/108 x 4/29) -1/4))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))) (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))
(/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(fabs.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(cbrt.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 3))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1/2))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) 1))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))
(sqrt.f64 (fma.f64 841/108 x 4/29))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))) 1)
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 1)
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(*.f64 1 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(*.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/4) (pow.f64 (fma.f64 841/108 x 4/29) -1/4))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1)) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1/2) (pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) -1/2))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) -1/2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) -1/2))
(sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(log.f64 (exp.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2))))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) 3))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 841/108 x 4/29))))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 841/108 x 4/29))) 1))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2)))
(pow.f64 (fma.f64 841/108 x 4/29) -1/2)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
✓	0.3b	(*.f64 x -707281/1728)

Compiler

Compiled 20 to 16 computations (20% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 x -707281/1728)
0.0ms	x	@	0	(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
0.0ms	x	@	inf	(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
0.0ms	x	@	inf	(*.f64 x -707281/1728)
0.0ms	x	@	0	(*.f64 x -707281/1728)

rewrite61.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`add-sqr-sqrt`
1802×	`*-un-lft-identity`
1706×	`add-cube-cbrt`
1694×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	191	22
2	2262	22

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(*.f64 x -707281/1728)
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/1728))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -707281/1728) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -707281/1728)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -707281/1728)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 500246412961/2985984))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -707281/1728))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -707281/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -707281/1728)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x -707281/1728)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -707281/1728)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 841/16 (*.f64 (*.f64 x x) 500246412961/2985984))) (+.f64 29/4 (*.f64 707281/1728 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 24389/64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))) (+.f64 841/16 (-.f64 (*.f64 (*.f64 x x) 500246412961/2985984) (*.f64 -20511149/6912 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x -707281/1728 29/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x -707281/1728 29/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))))))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1484×	`associate-/r*`
1320×	`associate-r`
1090×	`associate-l`
636×	`distribute-lft-neg-out`
448×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	1126
1	351	1072
2	1071	1048
3	4656	1046

Stop Event

1×	node limit

Counts

62 → 84

Calls

Call 1

Inputs
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/1728))) 1)
(pow.f64 (*.f64 x -707281/1728) 1)
(pow.f64 (sqrt.f64 (*.f64 x -707281/1728)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -707281/1728)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/2985984))
(log.f64 (pow.f64 (exp.f64 x) -707281/1728))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/1728))))
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(expm1.f64 (log1p.f64 (*.f64 x -707281/1728)))
(exp.f64 (log.f64 (*.f64 x -707281/1728)))
(exp.f64 (.f64 (log.f64 (.f64 x -707281/1728)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -707281/1728)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -707281/1728 29/4)))
(*.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(*.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -707281/1728 29/4))))
(.f64 (/.f64 1 (-.f64 841/16 (.f64 (.f64 x x) 500246412961/2985984))) (+.f64 29/4 (.f64 707281/1728 x)))
(.f64 (/.f64 1 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352))) (+.f64 841/16 (-.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 -20511149/6912 x))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(pow.f64 (fma.f64 x -707281/1728 29/4) -1)
(pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(pow.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -707281/1728 29/4)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))

Outputs
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
(*.f64 -707281/1728 x)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (fma.f64 841/108 x (.f64 20511149/46656 (.f64 x x))))
(+.f64 4/29 (fma.f64 x 841/108 (.f64 20511149/46656 (.f64 x x))))
(fma.f64 x 841/108 (fma.f64 x (*.f64 x 20511149/46656) 4/29))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 841/108 x (fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 x 841/108 (fma.f64 20511149/46656 (.f64 x x) (.f64 500246412961/20155392 (pow.f64 x 3)))))
(+.f64 4/29 (fma.f64 x 841/108 (.f64 (.f64 x x) (+.f64 20511149/46656 (*.f64 x 500246412961/20155392)))))
(+.f64 4/29 (.f64 x (+.f64 841/108 (.f64 x (+.f64 20511149/46656 (*.f64 x 500246412961/20155392))))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x)))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x))
(-.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x))
(+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -322486272/420707233300201 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x)) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x)))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x))
(-.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x))
(+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (/.f64 1728/707281 x)) (/.f64 322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -322486272/420707233300201 (pow.f64 x 3))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(-.f64 (/.f64 -746496/17249876309 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 1728/707281 x)) (/.f64 -322486272/420707233300201 (pow.f64 x 3))) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 (/.f64 -746496/17249876309 x) x) (/.f64 -1728/707281 x)) (+.f64 (/.f64 -322486272/420707233300201 (pow.f64 x 3)) (/.f64 -139314069504/10260628712958602189 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -707281/1728))) 1)
(*.f64 -707281/1728 x)
(pow.f64 (*.f64 x -707281/1728) 1)
(*.f64 -707281/1728 x)
(pow.f64 (sqrt.f64 (*.f64 x -707281/1728)) 2)
(*.f64 -707281/1728 x)
(pow.f64 (cbrt.f64 (*.f64 x -707281/1728)) 3)
(*.f64 -707281/1728 x)
(pow.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(sqrt.f64 (.f64 (.f64 x x) 500246412961/2985984))
(sqrt.f64 (.f64 x (.f64 x 500246412961/2985984)))
(log.f64 (pow.f64 (exp.f64 x) -707281/1728))
(*.f64 -707281/1728 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -707281/1728))))
(*.f64 -707281/1728 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -353814783205469041/5159780352))
(expm1.f64 (log1p.f64 (*.f64 x -707281/1728)))
(*.f64 -707281/1728 x)
(exp.f64 (log.f64 (*.f64 x -707281/1728)))
(*.f64 -707281/1728 x)
(exp.f64 (.f64 (log.f64 (.f64 x -707281/1728)) 1))
(*.f64 -707281/1728 x)
(log1p.f64 (expm1.f64 (*.f64 x -707281/1728)))
(*.f64 -707281/1728 x)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 1 (/.f64 1 (fma.f64 x -707281/1728 29/4)))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) (cbrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -707281/1728 x 29/4))) (cbrt.f64 (pow.f64 (fma.f64 -707281/1728 x 29/4) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(.f64 (/.f64 1 (-.f64 841/16 (.f64 (.f64 x x) 500246412961/2985984))) (+.f64 29/4 (.f64 707281/1728 x)))
(.f64 (/.f64 1 (-.f64 841/16 (.f64 x (.f64 x 500246412961/2985984)))) (+.f64 29/4 (.f64 x 707281/1728)))
(/.f64 (fma.f64 x 707281/1728 29/4) (-.f64 841/16 (.f64 x (.f64 x 500246412961/2985984))))
(/.f64 (fma.f64 x 707281/1728 29/4) (fma.f64 x (*.f64 x -500246412961/2985984) 841/16))
(.f64 (/.f64 1 (+.f64 24389/64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352))) (+.f64 841/16 (-.f64 (.f64 (.f64 x x) 500246412961/2985984) (*.f64 -20511149/6912 x))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -353814783205469041/5159780352) 24389/64)) (+.f64 841/16 (+.f64 (.f64 x (.f64 x 500246412961/2985984)) (*.f64 20511149/6912 x))))
(/.f64 (+.f64 841/16 (.f64 x (-.f64 (.f64 x 500246412961/2985984) -20511149/6912))) (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64))
(/.f64 (fma.f64 x (fma.f64 x 500246412961/2985984 20511149/6912) 841/16) (fma.f64 (pow.f64 x 3) -353814783205469041/5159780352 24389/64))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(pow.f64 (sqrt.f64 (fma.f64 x -707281/1728 29/4)) -2)
(pow.f64 (sqrt.f64 (fma.f64 -707281/1728 x 29/4)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -707281/1728 29/4)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -707281/1728 29/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -707281/1728 x 29/4))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)) (cbrt.f64 (fma.f64 -707281/1728 x 29/4)))
(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) (pow.f64 (cbrt.f64 (fma.f64 -707281/1728 x 29/4)) 2)))
(pow.f64 (fma.f64 x -707281/1728 29/4) -1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 1)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -1/2) 2)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))) 3)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3) 1/3)
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(sqrt.f64 (pow.f64 (fma.f64 x -707281/1728 29/4) -2))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4)) 3))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -707281/1728 29/4)) -1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x -707281/1728 29/4))) 1))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -707281/1728 29/4))))
(/.f64 1 (fma.f64 x -707281/1728 29/4))
(/.f64 1 (fma.f64 -707281/1728 x 29/4))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 108/841 x))
✓	0.3b	(/.f64 108/841 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 108/841 x)
0.0ms	x	@	inf	(/.f64 108/841 x)
0.0ms	x	@	-inf	(/.f64 108/841 x)
0.0ms	x	@	inf	(/.f64 1 (/.f64 108/841 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 108/841 x))

rewrite58.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`add-sqr-sqrt`
1300×	`*-un-lft-identity`
1230×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1206×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	149	14
2	1729	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(/.f64 108/841 x)
(/.f64 1 (/.f64 108/841 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 108/841 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 108/841 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 108/841 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -108/841 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 108/841 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 841/108)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 (pow.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -841/108 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 108/841 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 707281/11664 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 841/108)))))))

simplify98.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1500×	`distribute-lft-in`
1488×	`distribute-rgt-in`
800×	`*-commutative`
748×	`unswap-sqr`
518×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	706
1	225	592
2	993	472
3	4138	472

Stop Event

1×	node limit

Counts

58 → 55

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(*.f64 108/841 (/.f64 1 x))
(*.f64 (/.f64 108/841 x) 1)
(*.f64 1 (/.f64 108/841 x))
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))
(*.f64 (/.f64 1 x) 108/841)
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (*.f64 x 841/108) -1)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(exp.f64 (log.f64 (/.f64 108/841 x)))
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 x 841/108)
(.f64 1 (.f64 x 841/108))
(.f64 (.f64 x 841/108) 1)
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(.f64 (cbrt.f64 (.f64 x 841/108)) (cbrt.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x x))) (cbrt.f64 (.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -841/108 (neg.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(pow.f64 (/.f64 108/841 x) -1)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))

Outputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (/.f64 108/841 x)) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 108/841 (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 1 (/.f64 108/841 x))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (cbrt.f64 (/.f64 108/841 x)) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) (cbrt.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 (/.f64 1 x) 108/841)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(*.f64 -108/841 (/.f64 1 (neg.f64 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (/.f64 108/841 x) 1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (*.f64 x 841/108) -1)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (sqrt.f64 (/.f64 108/841 x)) 2)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (cbrt.f64 (/.f64 108/841 x)) 3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(pow.f64 (pow.f64 (/.f64 108/841 x) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(sqrt.f64 (/.f64 11664/707281 (*.f64 x x)))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) -2))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(cbrt.f64 (pow.f64 (/.f64 108/841 x) 3))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(expm1.f64 (log1p.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(exp.f64 (log.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(log1p.f64 (expm1.f64 (/.f64 108/841 x)))
(+.f64 1 (-.f64 (/.f64 108/841 x) 1))
(+.f64 (/.f64 108/841 x) 0)
(/.f64 108/841 x)
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(*.f64 841/108 x)
(.f64 1 (.f64 x 841/108))
(*.f64 841/108 x)
(.f64 (.f64 x 841/108) 1)
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 x 841/108)) (cbrt.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 (.f64 x x) 707281/11664)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 x (.f64 x 707281/11664))))
(.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x x))) (cbrt.f64 (.f64 x 841/108)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 (.f64 x x) 707281/11664)))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 x (.f64 x 707281/11664))))
(*.f64 841/108 x)
(*.f64 841/108 (pow.f64 (/.f64 1 x) -1))
(*.f64 841/108 x)
(*.f64 -1 (/.f64 1 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(*.f64 -841/108 (neg.f64 x))
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1) (pow.f64 (sqrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 108/841 x)) 2) -1) (pow.f64 (cbrt.f64 (/.f64 108/841 x)) -1))
(*.f64 841/108 x)
(pow.f64 (/.f64 108/841 x) -1)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(*.f64 841/108 x)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(fabs.f64 (*.f64 841/108 x))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 841/108 x))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series6.0ms (0.2%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
0.0ms	x	@	0	(sqrt.f64 (*.f64 841/108 x))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 841/108 x))

rewrite60.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`add-sqr-sqrt`
1342×	`*-un-lft-identity`
1256×	`add-cube-cbrt`
1246×	`add-cbrt-cube`
1232×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	183	18
2	1765	18

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(sqrt.f64 (*.f64 841/108 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (*.f64 (pow.f64 (*.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (pow.f64 (*.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 841/108) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 841/108) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))))))

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1084×	`distribute-lft-in`
1070×	`associate-+r+`
1038×	`distribute-rgt-in`
958×	`associate-+l+`
816×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	989
1	209	731
2	815	473
3	2591	473

Stop Event

1×	node limit

Counts

47 → 54

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(.f64 (.f64 841/108 x) 1)
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(.f64 1 (.f64 841/108 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (.f64 (pow.f64 (.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (cbrt.f64 (.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (pow.f64 (.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)
(.f64 (sqrt.f64 (.f64 841/108 x)) 1)
(.f64 1 (sqrt.f64 (.f64 841/108 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 841/108 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))
(pow.f64 (*.f64 841/108 x) 1/2)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))

Outputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 x 841/108)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 841/108 x) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 1 (.f64 841/108 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (.f64 (pow.f64 (.f64 841/108 x) 1/4) (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 841/108 x))))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 841/108 x)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (pow.f64 (.f64 841/108 x) 1/4)) (pow.f64 (*.f64 841/108 x) 1/4))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 841/108)) (sqrt.f64 x))
(.f64 (sqrt.f64 841/108) (.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 841/108)))
(.f64 (.f64 (sqrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 841/108 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (sqrt.f64 (.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 1 (sqrt.f64 (.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/4) (pow.f64 (*.f64 841/108 x) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(*.f64 (sqrt.f64 841/108) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 841/108))
(.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (cbrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (*.f64 841/108 x) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(fabs.f64 (sqrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (sqrt.f64 (*.f64 841/108 x)) 0)
(sqrt.f64 (*.f64 841/108 x))

eval312.0ms (7.4%)

Compiler: Compiled 13214 to 11294 computations (14.5% saved)

prune91.0ms (2.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	583	1	584
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	585	7	592

Error

Counts

592 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
✓	36.8b	(/.f64 1 (/.f64 108/841 x))
✓	26.5b	(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	36.9b	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
✓	36.7b	(*.f64 841/108 x)
	26.7b	4/29

Compiler

Compiled 47 to 39 computations (17% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
✓	1.0b	(pow.f64 (sqrt.f64 841/108) 2)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series2.0ms (0%)

Counts

2 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
0.0ms	x	@	-inf	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)

rewrite53.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`add-sqr-sqrt`
1316×	`*-un-lft-identity`
1228×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1204×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	184	8
2	1716	8

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 841/108) 2)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 841/108)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 841/108) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))))

simplify62.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1020×	`*-commutative`
872×	`log-prod`
746×	`associate--l+`
688×	`distribute-lft-out`
632×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	210
1	81	144
2	270	78
3	1584	78
4	4519	78
5	6985	78

Stop Event

1×	node limit

Counts

12 → 15

Calls

Call 1

Inputs
841/108
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))

Outputs
841/108
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 841/108 x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)

eval3.0ms (0.1%)

Compiler: Compiled 82 to 66 computations (19.5% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	15	7	22

Error

Counts

22 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.1b	(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
✓	36.8b	(/.f64 1 (/.f64 108/841 x))
✓	26.5b	(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	36.9b	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
✓	36.7b	(*.f64 841/108 x)
	26.7b	4/29

Compiler

Compiled 47 to 39 computations (17% saved)

regimes26.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 1 (fma.f64 841/108 x 4/29)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -1/2) -1))

Outputs
(fma.f64 841/108 x 4/29)

Calls

3 calls:

9.0ms	(*.f64 (/.f64 841 108) x)
7.0ms	x
5.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 134 to 111 computations (17.2% saved)

regimes16.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 1 (+.f64 29/4 (*.f64 x -707281/1728)))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (+.f64 16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 4/29 (*.f64 841/108 x)))

Outputs
(+.f64 (*.f64 841/108 x) 4/29)

Calls

3 calls:

6.0ms	(*.f64 (/.f64 841 108) x)
5.0ms	x
3.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 62 to 51 computations (17.7% saved)

regimes10.0ms (0.2%)

Accuracy

Total -60.0b remaining (-3488.8%)

Threshold costs -60.0b (-3488.8%)

Counts

2 → 3

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)

Outputs
(*.f64 841/108 x)
4/29
(*.f64 841/108 x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch28.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	2.549925532430027e-9	0.2314652839762633
13.0ms	-3.530584252782817	-7.920622979434993e-5

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 150 to 131 computations (12.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`if-if-or-not`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	25	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (.f64 841/108 x)))
4/29

Outputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 5188146770730811/288230376151711744) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	17	9
2	18	9

Stop Event

1×

saturated

Compiler

Compiled 28 to 24 computations (14.3% saved)

end26.0ms (0.6%)

Compiler: Compiled 26 to 20 computations (23.1% saved)

Details

analyze3.0ms (0.1%)

sample1.1s (25.8%)

preprocess4.0ms (0.1%)

simplify11.0ms (0.3%)

eval1.0ms (0%)

prune5.0ms (0.1%)

localize10.0ms (0.2%)

series2.0ms (0.1%)

rewrite133.0ms (3.1%)

simplify105.0ms (2.5%)

localize19.0ms (0.5%)

series1.0ms (0%)

rewrite49.0ms (1.1%)

simplify59.0ms (1.4%)

eval122.0ms (2.9%)

prune45.0ms (1.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite62.0ms (1.5%)

simplify93.0ms (2.2%)

localize3.0ms (0.1%)

localize23.0ms (0.5%)

series4.0ms (0.1%)

rewrite95.0ms (2.2%)

simplify83.0ms (2%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite85.0ms (2%)

simplify60.0ms (1.4%)

localize47.0ms (1.1%)

series6.0ms (0.1%)

rewrite91.0ms (2.2%)

simplify79.0ms (1.9%)

eval446.0ms (10.5%)

prune91.0ms (2.2%)

localize23.0ms (0.5%)

series8.0ms (0.2%)

rewrite77.0ms (1.8%)

simplify98.0ms (2.3%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite61.0ms (1.4%)

simplify64.0ms (1.5%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (1.4%)

simplify98.0ms (2.3%)

localize9.0ms (0.2%)

series6.0ms (0.2%)

rewrite60.0ms (1.4%)

simplify49.0ms (1.2%)

eval312.0ms (7.4%)

prune91.0ms (2.1%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite53.0ms (1.3%)

simplify62.0ms (1.5%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

regimes26.0ms (0.6%)

regimes16.0ms (0.4%)

regimes10.0ms (0.2%)

bsearch28.0ms (0.7%)

simplify6.0ms (0.1%)

soundness12.0ms (0.3%)

end26.0ms (0.6%)

Profiling