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)

sample856.0ms (15.7%)

Results

843.0ms	8249×	body	256	valid
1.0ms	4×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess38.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	16	5
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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	16	5

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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

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)

localize35.0ms (0.6%)

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%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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	@	0	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`pow1_binary64`
858×	`add-log-exp_binary64`
858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
849×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	218	9
2	2263	9

Stop Event

1×	node limit

Counts

2 → 43

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
430×	`times-frac_binary64`
426×	`associate-/l*_binary64`
317×	`fma-neg_binary64`
313×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	568
1	242	538
2	788	506
3	3794	464

Stop Event

1×	node limit

Counts

67 → 57

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

localize4.0ms (0.1%)

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)

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`pow1_binary64`
430×	`add-sqr-sqrt_binary64`
417×	`*-un-lft-identity_binary64`
407×	`add-log-exp_binary64`
407×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	102	5
2	1072	5

Stop Event

1×	node limit

Counts

1 → 24

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

392×	`log-prod_binary64`
332×	`associate-l_binary64`
313×	`fma-neg_binary64`
288×	`associate-r_binary64`
286×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	244
1	126	229
2	494	212
3	3097	211
4	5929	211

Stop Event

1×	node limit

Counts

36 → 36

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 0 (fma.f64 841/108 x 4/29))
(+.f64 (.f64 (.f64 841/108 x) 1) 4/29)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 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 (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 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (fma.f64 (.f64 841/108 x) (.f64 841/108 x) (-.f64 16/841 (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (fma.f64 (.f64 841/108 x) (.f64 841/108 x) -16/841) (fma.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) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)
(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)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))
(exp.f64 (log.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 0 (fma.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 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 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 (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 (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 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (fma.f64 (.f64 841/108 x) (.f64 841/108 x) (-.f64 16/841 (.f64 (*.f64 841/108 x) 4/29))))
(/.f64 (+.f64 (.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (fma.f64 (.f64 841/108 x) (.f64 841/108 x) (-.f64 16/841 (.f64 4/29 (*.f64 841/108 x)))))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (-.f64 16/841 (.f64 x 29/27)) (.f64 (*.f64 x x) 707281/11664)))
(/.f64 (fma.f64 594823321/1259712 (pow.f64 x 3) 64/24389) (+.f64 (.f64 x -29/27) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(/.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 (.f64 841/108 x) (.f64 841/108 x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 841/108 x 4/29) 1)
(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)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)
(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)
(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)
(log1p.f64 (expm1.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)

eval25.0ms (0.5%)

Compiler: Compiled 979 to 783 computations (20% saved)

prune18.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	10	93
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	85	10	95

Error

Counts

95 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.6b	(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
	16.6b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
	21.6b	(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
▶	21.6b	(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))))
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
	0.5b	(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	25.5b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
▶	30.8b	(*.f64 841/108 x)
	32.5b	4/29

Compiler

Compiled 238 to 192 computations (19.3% 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 (*.f64 841/108 x) 4/29)
0.0ms	x	@	-inf	(*.f64 841/108 x)
0.0ms	x	@	0	(+.f64 (*.f64 841/108 x) 4/29)
0.0ms	x	@	inf	(+.f64 (*.f64 841/108 x) 4/29)

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

642×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
597×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	133	9
2	1587	9

Stop Event

1×	node limit

Counts

2 → 43

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-neg_binary64`
411×	`associate-l_binary64`
385×	`associate-r_binary64`
368×	`cancel-sign-sub-inv_binary64`
311×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	512
1	232	487
2	781	413
3	4702	408

Stop Event

1×	node limit

Counts

55 → 52

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

localize3.0ms (0%)

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)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
✓	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	28.8b	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) 707281/11664)
0.0ms	x	@	inf	(.f64 (.f64 x x) 707281/11664)
0.0ms	x	@	0	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
0.0ms	x	@	-inf	(.f64 (.f64 x x) 707281/11664)
0.0ms	x	@	inf	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))

rewrite64.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	219	16
2	2459	16

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(.f64 (.f64 x x) 707281/11664)
(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 707281/11664 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 841/108) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 x 707281/11664) 1/2))))) (#(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 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 707281/11664 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 1)))) (#(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 (sqrt.f64 (*.f64 x 841/108)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 707281/11664)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 707281/11664)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 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 x) (*.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 707281/11664)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 707281/11664))))))))

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

530×	`div-sub_binary64`
426×	`log-prod_binary64`
421×	`fma-neg_binary64`
292×	`unswap-sqr_binary64`
272×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	849
1	342	787
2	1176	729
3	5549	729

Stop Event

1×	node limit

Counts

108 → 92

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

localize37.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))))
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	0.6b	(*.f64 x 29/27)
✓	21.1b	(/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))

Compiler

Compiled 91 to 66 computations (27.5% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))))
1.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))
1.0ms	x	@	inf	(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))))
1.0ms	x	@	inf	(/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)))

rewrite79.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`fma-def_binary64`
335×	`expm1-udef_binary64`
335×	`log1p-udef_binary64`
307×	`fma-neg_binary64`
258×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	59
1	438	52
2	5606	48

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712)))

(*.f64 x 29/27)

(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 16/841 (*.f64 x 29/27))) (+.f64 64/24389 (*.f64 (pow.f64 x 3) 594823321/1259712))))

Outputs

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594823321/1259712) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (*.f64 64/24389 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389 (*.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (*.f64 (pow.f64 x 3) 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (*.f64 (pow.f64 x 3) 594823321/1259712) (*.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389))))))

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

454×	`distribute-rgt-in_binary64`
444×	`distribute-lft-in_binary64`
407×	`unswap-sqr_binary64`
404×	`associate-/l*_binary64`
359×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	298	2795
1	711	2741
2	2294	2733

Stop Event

1×	node limit

Counts

134 → 153

Calls

Call 1

Inputs
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 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)
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 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))) 1)
(-.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 (.f64 x 29/27) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (/.f64 1 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 2)) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (/.f64 1 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108)) (.f64 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108)) (/.f64 1 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (/.f64 1 (neg.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(.f64 (/.f64 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108)) 1) (/.f64 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2))) (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 2)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2))) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (/.f64 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108)) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2))) (/.f64 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 2)) (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3) 262144/14507145975869)) (fma.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389) 4096/594823321))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (-.f64 4096/594823321 (.f64 (pow.f64 x 6) 353814783205469041/1586874322944))) (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) -1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) 2)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (neg.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 3) (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(pow.f64 (*.f64 x 29/27) 1)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) 24389/19683) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 841/729))
(log.f64 (pow.f64 (exp.f64 29/27) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(exp.f64 (log.f64 (*.f64 x 29/27)))
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(+.f64 (.f64 64/24389 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(+.f64 (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (.f64 64/24389 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389) (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (*.f64 (pow.f64 x 3) 594823321/1259712)))
(+.f64 (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 (pow.f64 x 3) 594823321/1259712)) (.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))) 1)
(.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1)
(.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (pow.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) -1) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 2))) (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 2))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (/.f64 1 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108))) (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (pow.f64 (fma.f64 x -29/27 16/841) 3))) (fma.f64 (fma.f64 x -29/27 16/841) (-.f64 (fma.f64 x -29/27 16/841) (.f64 x (.f64 x 707281/11664))) (.f64 (pow.f64 x 4) 500246412961/136048896)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 x -29/27 16/841) 2))) (+.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (.f64 x 29/27)))
(.f64 (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (neg.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(.f64 (.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))
(.f64 (.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(.f64 (.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -1)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 3) (pow.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) -1))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 1))
(fma.f64 64/24389 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(fma.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 64/24389 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(fma.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389 (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 (pow.f64 x 3) 594823321/1259712)))
(fma.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 (pow.f64 x 3) 594823321/1259712) (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389))

Outputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(fma.f64 -707281/1728 x 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 -707281/1728 x)))
(+.f64 29/4 (fma.f64 -707281/1728 x (.f64 x (.f64 x 17249876309/746496))))
(fma.f64 -707281/1728 x (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 -707281/1728 x))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))) (fma.f64 -707281/1728 x 29/4))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 -707281/1728 x (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 (/.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 108/841 x) (-.f64 (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.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 -46656/20511149 (*.f64 x x)) (/.f64 -8707129344/12200509765705829 (pow.f64 x 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 (/.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 108/841 x) (-.f64 (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.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 -46656/20511149 (*.f64 x x)) (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)))))
(*.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)
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(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 3))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 3) (pow.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 3)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))) -1))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 1))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(fma.f64 64/24389 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(fma.f64 (.f64 (pow.f64 x 3) 594823321/1259712) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 64/24389 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(fma.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389 (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 (pow.f64 x 3) 594823321/1259712)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(fma.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (.f64 (pow.f64 x 3) 594823321/1259712) (.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 64/24389))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 841/108 x -4/29)
✓	0.1b	(fma.f64 x (*.f64 x 707281/11664) -16/841)
✓	0.2b	(*.f64 x 707281/11664)
✓	15.5b	(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))

Compiler

Compiled 30 to 22 computations (26.7% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`pow1_binary64`
904×	`add-log-exp_binary64`
904×	`log1p-expm1-u_binary64`
904×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	209	32
2	2383	32

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 2))))) (#(struct:change #<rule 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707281/11664) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (cbrt.f64 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(fma.f64 841/108 x -4/29))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 841/108 x -4/29) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x 707281/11664))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 707281/11664) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 707281/11664) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 707281/11664)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 841/108 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 707281/11664) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 707281/11664)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -16/841 (.f64 (.f64 x x) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 x x) 707281/11664) 1) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x 707281/11664) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) -4096/594823321) (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (-.f64 (.f64 (.f64 x x) 707281/11664) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 (.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 841/108) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 841/108) 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 (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 (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 (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 (+.f64 (pow.f64 (.f64 x 841/108) 3) -64/24389) (+.f64 (.f64 (.f64 x 841/108) (.f64 x 841/108)) (-.f64 16/841 (.f64 (.f64 x 841/108) -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 841/108) (.f64 x 841/108)) 16/841) (-.f64 (*.f64 x 841/108) -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) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 841/108 x -4/29)) 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 log1p.f64 (expm1.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)))))))

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

560×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
331×	`log-prod_binary64`
214×	`fma-def_binary64`
210×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	1172
1	459	1152
2	2368	1142

Stop Event

1×	node limit

Counts

136 → 123

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 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
(*.f64 707281/11664 x)
-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)
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))) 1)
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 841/108 x -4/29))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 841/108 x -4/29))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (neg.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 841/108 x -4/29)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 841/108 x -4/29)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 2)
(pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -1)
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (neg.f64 (fma.f64 841/108 x -4/29))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 841/108 x -4/29) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(pow.f64 (*.f64 x 707281/11664) 1)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(log.f64 (exp.f64 (*.f64 x 707281/11664)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(+.f64 -16/841 (.f64 (.f64 x x) 707281/11664))
(+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)
(+.f64 (.f64 (.f64 (*.f64 x x) 707281/11664) 1) -16/841)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 1)
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 1)
(.f64 1 (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) -4096/594823321) (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) -16/841))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (-.f64 (.f64 (*.f64 x x) 707281/11664) -16/841))
(pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(+.f64 -4/29 (*.f64 x 841/108))
(+.f64 (*.f64 x 841/108) -4/29)
(+.f64 (.f64 (.f64 x 841/108) 1) -4/29)
(-.f64 (exp.f64 (log1p.f64 (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 (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 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 841/108 x -4/29)))
(/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) -64/24389) (+.f64 (.f64 (.f64 x 841/108) (.f64 x 841/108)) (-.f64 16/841 (.f64 (.f64 x 841/108) -4/29))))
(/.f64 (-.f64 (.f64 (.f64 x 841/108) (.f64 x 841/108)) 16/841) (-.f64 (.f64 x 841/108) -4/29))
(pow.f64 (fma.f64 841/108 x -4/29) 1)
(pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) 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)))
(log1p.f64 (expm1.f64 (fma.f64 841/108 x -4/29)))
(exp.f64 (log.f64 (fma.f64 841/108 x -4/29)))

Outputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
(*.f64 707281/11664 x)
(*.f64 x 707281/11664)
-16/841
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))) 1)
(/.f64 (fma.f64 707281/11664 (*.f64 x 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 (fma.f64 x (.f64 x 707281/11664) -16/841) (/.f64 1 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 1)
(/.f64 (fma.f64 707281/11664 (*.f64 x 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 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 2))
(/.f64 (fma.f64 707281/11664 (*.f64 x 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 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (neg.f64 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 707281/11664 (*.f64 x 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 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (cbrt.f64 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (fma.f64 841/108 x -4/29))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 707281/11664 (*.f64 x x) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (cbrt.f64 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (sqrt.f64 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (sqrt.f64 (fma.f64 841/108 x -4/29))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (sqrt.f64 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 1)
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 3) 1/3)
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 3)
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) 2)
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -1)
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (neg.f64 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 2))
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 3))
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 841/108 x -4/29) 3)))
(/.f64 (fma.f64 707281/11664 (*.f64 x 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))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 707281/11664))) 1)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 x 707281/11664) 1)
(*.f64 x 707281/11664)
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3) 1/3)
(*.f64 x 707281/11664)
(pow.f64 (cbrt.f64 (*.f64 x 707281/11664)) 3)
(*.f64 x 707281/11664)
(pow.f64 (*.f64 841/108 (sqrt.f64 x)) 2)
(*.f64 x 707281/11664)
(sqrt.f64 (.f64 (.f64 x x) 500246412961/136048896))
(sqrt.f64 (.f64 x (.f64 x 500246412961/136048896)))
(fabs.f64 (*.f64 x 707281/11664))
(log.f64 (exp.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 707281/11664))))
(*.f64 x 707281/11664)
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3))
(*.f64 x 707281/11664)
(expm1.f64 (log1p.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(log1p.f64 (expm1.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(exp.f64 (log.f64 (*.f64 x 707281/11664)))
(*.f64 x 707281/11664)
(+.f64 -16/841 (.f64 (.f64 x x) 707281/11664))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(+.f64 (.f64 (.f64 (*.f64 x x) 707281/11664) 1) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 1)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 1)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(.f64 1 (fma.f64 x (.f64 x 707281/11664) -16/841))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) 707281/11664) 3) -4096/594823321) (+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) (-.f64 256/707281 (.f64 (.f64 (.f64 x x) 707281/11664) -16/841))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) -4096/594823321) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 500246412961/136048896) (-.f64 256/707281 (.f64 (.f64 x x) -841/729))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944 -4096/594823321) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) 841/729)))
(/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (fma.f64 500246412961/136048896 (pow.f64 x 4) (fma.f64 (*.f64 x x) 841/729 256/707281)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (.f64 (.f64 x x) 707281/11664)) 256/707281) (-.f64 (.f64 (*.f64 x x) 707281/11664) -16/841))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 500246412961/136048896) -256/707281) (fma.f64 (*.f64 x x) 707281/11664 16/841))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 500246412961/136048896 (pow.f64 x 4) -256/707281) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) 1/3)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 3)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(+.f64 -4/29 (*.f64 x 841/108))
(fma.f64 841/108 x -4/29)
(+.f64 (*.f64 x 841/108) -4/29)
(fma.f64 841/108 x -4/29)
(+.f64 (.f64 (.f64 x 841/108) 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 (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 (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 (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 (+.f64 (pow.f64 (.f64 x 841/108) 3) -64/24389) (+.f64 (.f64 (.f64 x 841/108) (.f64 x 841/108)) (-.f64 16/841 (.f64 (.f64 x 841/108) -4/29))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) -64/24389) (-.f64 (fma.f64 (.f64 x x) 707281/11664 16/841) (*.f64 x -29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389) (+.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x 29/27 16/841)))
(/.f64 (-.f64 (.f64 (.f64 x 841/108) (.f64 x 841/108)) 16/841) (-.f64 (.f64 x 841/108) -4/29))
(/.f64 (fma.f64 707281/11664 (*.f64 x x) -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))
(pow.f64 (fma.f64 841/108 x -4/29) 1)
(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)
(pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 3)
(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)
(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)
(log1p.f64 (expm1.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)

eval172.0ms (3.2%)

Compiler: Compiled 7624 to 6068 computations (20.4% saved)

prune65.0ms (1.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	443	4	447
Fresh	2	3	5
Picked	1	0	1
Done	1	3	4
Total	447	10	457

Error

Counts

457 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.6b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	16.6b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
	21.6b	(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
▶	30.9b	(/.f64 1 (/.f64 108/841 x))
▶	30.6b	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
▶	0.5b	(-.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	25.5b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
✓	30.8b	(*.f64 841/108 x)
	32.5b	4/29

Compiler

Compiled 191 to 151 computations (20.9% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 x 707281/11664)
✓	0.2b	(/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664)))
✓	0.4b	(/.f64 16/841 (fma.f64 x 841/108 -4/29))
✓	0.5b	(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))

Compiler

Compiled 54 to 41 computations (24.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 16/841 (fma.f64 x 841/108 -4/29))
1.0ms	x	@	0	(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
1.0ms	x	@	inf	(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
1.0ms	x	@	-inf	(/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))
0.0ms	x	@	inf	(/.f64 16/841 (fma.f64 x 841/108 -4/29))

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
457×	`exp-prod_binary64`
294×	`pow2_binary64`
274×	`pow-prod-down_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	244	33
2	3133	33

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2)) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (/.f64 1 (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 11664/707281 x) (fma.f64 x 841/108 -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) 11664/707281)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) x) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11664/707281 (/.f64 (fma.f64 x 841/108 -4/29) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 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707281/11664) (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1) 1))))))

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
600×	`unswap-sqr_binary64`
354×	`log-prod_binary64`
224×	`sqr-pow_binary64`
188×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	2718
1	1026	2568
2	3293	2546

Stop Event

1×	node limit

Counts

184 → 243

Calls

Call 1

Inputs
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
-4/29
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (+.f64 (.f64 -841/108 x) (.f64 -20511149/46656 (pow.f64 x 2))) 4/29)
(-.f64 (+.f64 (.f64 -841/108 x) (+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) 4/29)
(/.f64 1728/707281 x)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x)))
(+.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)))))
(+.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)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x)))
(+.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)))))
(+.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 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 0 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) 1)
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))
(.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1)
(.f64 1 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2)) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108))
(.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (/.f64 11664/707281 x)))
(.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (/.f64 1 (.f64 x -707281/11664)))
(*.f64 (/.f64 11664/707281 x) (fma.f64 x 841/108 -4/29))
(*.f64 (/.f64 (fma.f64 x 841/108 -4/29) x) 11664/707281)
(*.f64 (/.f64 1 x) (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) x) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 707281/11664) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) x))
(*.f64 11664/707281 (/.f64 (fma.f64 x 841/108 -4/29) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 707281/11664) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (.f64 x 707281/11664)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 1) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (.f64 x 707281/11664)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x 707281/11664)) -2) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (*.f64 x 707281/11664))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (pow.f64 (cbrt.f64 (.f64 x 707281/11664)) 2)) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (.f64 x 707281/11664)) 2)) (/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (cbrt.f64 (*.f64 x 707281/11664))))
(.f64 (pow.f64 (.f64 x 707281/11664) -1/2) (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 841/108 (sqrt.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (.f64 841/108 (sqrt.f64 x))) (/.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (*.f64 841/108 (sqrt.f64 x))))
(pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 3)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108) 2)
(pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) (pow.f64 (*.f64 x 707281/11664) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(neg.f64 (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x -707281/11664)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2))
(log.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) (pow.f64 (*.f64 x 707281/11664) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(exp.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) 1) 1))
(+.f64 0 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 1)
(*.f64 16/841 (/.f64 1 (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 1)
(*.f64 1 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))
(*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 2) (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 -16/841 (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 16/841)
(pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 1)
(pow.f64 (*.f64 256/707281 (pow.f64 (fma.f64 x 841/108 -4/29) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 3)
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29))) 2)
(pow.f64 (*.f64 (fma.f64 x 841/108 -4/29) 841/16) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x 841/108 -4/29) 841/16) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 2)) (cbrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))) (sqrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))))
(sqrt.f64 (*.f64 256/707281 (pow.f64 (fma.f64 x 841/108 -4/29) -2)))
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))))
(cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x 841/108 -4/29)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x 841/108 -4/29) 841/16)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 16/841 (fma.f64 x 841/108 -4/29))) 1) 1))
(+.f64 0 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 1)
(.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))
(.f64 (.f64 x 707281/11664) (/.f64 x (fma.f64 x 841/108 -4/29)))
(.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 1)
(.f64 1 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(.f64 (cbrt.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) (pow.f64 (cbrt.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2) (cbrt.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(.f64 (sqrt.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(.f64 (neg.f64 x) (/.f64 1 (.f64 (fma.f64 x 841/108 -4/29) (neg.f64 (/.f64 11664/707281 x)))))
(.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) x)
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (/.f64 x (/.f64 11664/707281 x)))
(.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (.f64 x 707281/11664))
(.f64 (/.f64 x 1) (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (fma.f64 x 841/108 -4/29)) (/.f64 (cbrt.f64 x) (/.f64 11664/707281 x)))
(*.f64 (/.f64 (sqrt.f64 x) (fma.f64 x 841/108 -4/29)) (/.f64 (sqrt.f64 x) (/.f64 11664/707281 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))) -2) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2))) (cbrt.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))))
(.f64 (pow.f64 (.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)) -1/2) (/.f64 x (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)) (/.f64 (cbrt.f64 x) (/.f64 (sqrt.f64 (/.f64 (fma.f64 x 841/108 -4/29) x)) 841/108)))
(.f64 (/.f64 x (neg.f64 (fma.f64 x 841/108 -4/29))) (.f64 x -707281/11664))
(*.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) x)) 707281/11664)
(.f64 (.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) x) 707281/11664)
(.f64 (.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) 1) (*.f64 x 707281/11664))
(.f64 (.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (.f64 x 707281/11664)) 2)) (cbrt.f64 (.f64 x 707281/11664)))
(.f64 (.f64 (/.f64 x (fma.f64 x 841/108 -4/29)) (.f64 841/108 (sqrt.f64 x))) (.f64 841/108 (sqrt.f64 x)))
(pow.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 1)
(pow.f64 (pow.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 3)
(pow.f64 (sqrt.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 2)
(pow.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x))) -1)
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(neg.f64 (/.f64 x (*.f64 (fma.f64 x 841/108 -4/29) (neg.f64 (/.f64 11664/707281 x)))))
(sqrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))))
(cbrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(exp.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x)))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1) 1))

Outputs
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (/.f64 46656/20511149 x))
(+.f64 108/841 (/.f64 -46656/20511149 x))
-4/29
(-.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 -841/108 x -4/29)
(fma.f64 x -841/108 -4/29)
(-.f64 (+.f64 (.f64 -841/108 x) (.f64 -20511149/46656 (pow.f64 x 2))) 4/29)
(+.f64 (fma.f64 -841/108 x (.f64 -20511149/46656 (.f64 x x))) -4/29)
(fma.f64 x -841/108 (fma.f64 -20511149/46656 (*.f64 x x) -4/29))
(fma.f64 x -841/108 (fma.f64 x (*.f64 x -20511149/46656) -4/29))
(-.f64 (+.f64 (.f64 -841/108 x) (+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (*.f64 -500246412961/20155392 (pow.f64 x 3)))) 4/29)
(+.f64 (fma.f64 -841/108 x (fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))) -4/29)
(+.f64 -4/29 (fma.f64 x -841/108 (fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 x -841/108 (fma.f64 x (*.f64 x -20511149/46656) (fma.f64 -500246412961/20155392 (pow.f64 x 3) -4/29)))
(/.f64 1728/707281 x)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 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 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.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 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 (/.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 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 1728/707281 x)))
(/.f64 1728/707281 x)
(+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 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 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (+.f64 (/.f64 1728/707281 x) (/.f64 322486272/420707233300201 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.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 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 (/.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 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (+.f64 (/.f64 322486272/420707233300201 (pow.f64 x 3)) (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (+.f64 (/.f64 139314069504/10260628712958602189 (pow.f64 x 4)) (/.f64 322486272/420707233300201 (pow.f64 x 3))) (/.f64 1728/707281 x)))
(*.f64 -20511149/46656 (pow.f64 x 2))
(.f64 -20511149/46656 (.f64 x x))
(.f64 x (.f64 x -20511149/46656))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(.f64 (.f64 x x) (+.f64 -20511149/46656 (*.f64 -500246412961/20155392 x)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (.f64 (.f64 x x) (+.f64 -20511149/46656 (*.f64 -500246412961/20155392 x))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(fma.f64 x (.f64 x -20511149/46656) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -12200509765705829/8707129344 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.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 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 4/29))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (fma.f64 841/108 x (/.f64 1728/707281 x))))
(+.f64 4/29 (+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (fma.f64 x 841/108 (/.f64 1728/707281 x))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 4/29)))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.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 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 4/29))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (/.f64 746496/17249876309 (*.f64 x x)) (fma.f64 841/108 x (/.f64 1728/707281 x))))
(+.f64 4/29 (+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (fma.f64 x 841/108 (/.f64 1728/707281 x))))
(+.f64 (/.f64 (/.f64 746496/17249876309 x) x) (+.f64 (/.f64 1728/707281 x) (fma.f64 x 841/108 4/29)))
(+.f64 0 (*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x)))
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29)))))
(*.f64 (fma.f64 x 841/108 -4/29) (/.f64 11664/707281 x))
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(cbrt.f64 (pow.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))) 3))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)) -3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)) -3)))
(expm1.f64 (log1p.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(log1p.f64 (expm1.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 1/3))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 3))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (/.f64 (*.f64 x 707281/11664) (fma.f64 x 841/108 -4/29))))) 2))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 841/108 -4/29) (/.f64 x (/.f64 11664/707281 x)))) -1))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 x (/.f64 (.f64 x 707281/11664) (fma.f64 x 841/108 -4/29)))) 1) 1))
(*.f64 x (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) 707281/11664)))
(/.f64 (/.f64 x (/.f64 11664/707281 x)) (fma.f64 x 841/108 -4/29))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 1 (/.f64 108/841 x))
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	@	0	(/.f64 1 (/.f64 108/841 x))

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
520×	`add-log-exp_binary64`
520×	`log1p-expm1-u_binary64`
520×	`expm1-log1p-u_binary64`
510×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1501	8

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

662×	`fma-def_binary64`
594×	`distribute-rgt-in_binary64`
491×	`log-prod_binary64`
378×	`unswap-sqr_binary64`
278×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	351
1	225	294
2	798	237
3	3987	234

Stop Event

1×	node limit

Counts

58 → 50

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

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

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
	0.3b	(/.f64 108/841 x)
✓	0.7b	(/.f64 46656/20511149 (*.f64 x x))
✓	0.7b	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 46656/20511149 (*.f64 x x))
0.0ms	x	@	0	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 46656/20511149 (*.f64 x x))
0.0ms	x	@	0	(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))

rewrite72.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`prod-diff_binary64`
483×	`log-prod_binary64`
286×	`pow2_binary64`
284×	`fma-def_binary64`
234×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	233	30
2	3270	30

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

Inputs
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 46656/20511149 (*.f64 x x))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))

Outputs

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simplify108.0ms (2%)

Algorithm

1×	egg-herbie

Rules

646×	`unswap-sqr_binary64`
454×	`fma-neg_binary64`
334×	`div-sub_binary64`
224×	`fma-def_binary64`
194×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	4964
1	1254	4250
2	4485	3966

Stop Event

1×	node limit

Counts

250 → 303

Calls

Call 1

Inputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.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 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.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 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 0 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)))) 1)
(*.f64 1 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)))
(*.f64 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x))) (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) -2)) (/.f64 1 (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x))))
(*.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) -1/2) (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x))))
(.f64 (/.f64 1 (fma.f64 (.f64 108/841 x) x (neg.f64 (*.f64 x 46656/20511149)))) (pow.f64 x 3))
(.f64 (/.f64 1 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3)))) (+.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 5038848/17249876309 (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2))) (/.f64 1 (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x))))
(pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) -1)
(pow.f64 (/.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) 1)
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(log.f64 (.f64 (exp.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (exp.f64 (/.f64 108/841 x))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2))) (exp.f64 (/.f64 108/841 x))))
(log.f64 (.f64 (exp.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (+.f64 1 (expm1.f64 (/.f64 108/841 x)))))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 46656/20511149) (pow.f64 x -2))) (+.f64 1 (expm1.f64 (/.f64 108/841 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) 1))
(fma.f64 1 (/.f64 108/841 x) (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 1 (/.f64 108/841 x) (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 1 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 1 (*.f64 -46656/20511149 (pow.f64 x -2)) (/.f64 108/841 x))
(fma.f64 108/841 (/.f64 1 x) (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 108/841 (/.f64 1 x) (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 (/.f64 108/841 x) 1 (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 (/.f64 108/841 x) 1 (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 46656/20511149 (neg.f64 (pow.f64 x -2)) (/.f64 108/841 x))
(fma.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 1 (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 1 (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 1 (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 1 (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2)))) (/.f64 108/841 x))
(fma.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (pow.f64 (/.f64 108/841 x) 2)) (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (pow.f64 (/.f64 108/841 x) 2)) (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 108/841 x) 2)) (cbrt.f64 (/.f64 108/841 x)) (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 108/841 x) 2)) (cbrt.f64 (/.f64 108/841 x)) (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x) 2)) (cbrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (/.f64 (sqrt.f64 46656/20511149) x) (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (/.f64 108/841 x))
(fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 (sqrt.f64 (/.f64 108/841 x)) (sqrt.f64 (/.f64 108/841 x)) (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (sqrt.f64 (/.f64 (-.f64 108/841 (/.f64 46656/20511149 x)) x)) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 -1 (*.f64 46656/20511149 (pow.f64 x -2)) (/.f64 108/841 x))
(fma.f64 -108/841 (/.f64 1 (neg.f64 x)) (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 -108/841 (/.f64 1 (neg.f64 x)) (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))
(fma.f64 (fma.f64 (.f64 108/841 x) x (neg.f64 (.f64 x 46656/20511149))) (/.f64 1 (pow.f64 x 3)) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (fma.f64 (.f64 108/841 x) x (neg.f64 (.f64 x 46656/20511149))) (/.f64 1 (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (fma.f64 (.f64 108/841 x) x (neg.f64 (.f64 x 46656/20511149))) (/.f64 1 (pow.f64 x 3)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (fma.f64 (.f64 108/841 x) x (neg.f64 (.f64 x 46656/20511149))) (/.f64 1 (pow.f64 x 3)) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (-.f64 (/.f64 1259712/594823321 (pow.f64 x 3)) (.f64 101559956668416/8629188747598184440949 (pow.f64 (pow.f64 x -2) 3))) (/.f64 1 (+.f64 (+.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 5038848/17249876309 (pow.f64 x 3)))) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (/.f64 1 x) 108/841 (*.f64 -46656/20511149 (pow.f64 x -2)))
(fma.f64 (/.f64 1 x) 108/841 (.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1))
(fma.f64 (-.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (-.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) 2) (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (/.f64 108/841 x))
(fma.f64 (sqrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (sqrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (/.f64 108/841 x))
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 108/841 x))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (/.f64 108/841 x))

Outputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(.f64 -20511149/46656 (.f64 x x))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -20511149/46656 (.f64 x x)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.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 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.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 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
(/.f64 46656/20511149 (*.f64 x x))
(*.f64 46656/20511149 (pow.f64 x -2))
(/.f64 46656/20511149 (pow.f64 x 2))
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(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))) (/.f64 (fma.f64 (pow.f64 x -2) 11664/707281 (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))
(fma.f64 (-.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 (-.f64 (pow.f64 (/.f64 108/841 x) 2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 1 (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))
(/.f64 (+.f64 (*.f64 (pow.f64 x -2) 11664/707281) (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))
(/.f64 (fma.f64 (pow.f64 x -2) 11664/707281 (/.f64 -2176782336/420707233300201 (pow.f64 x 4))) (fma.f64 46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) 2) (cbrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (/.f64 108/841 x))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(fma.f64 (sqrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (sqrt.f64 (.f64 -46656/20511149 (pow.f64 x -2))) (/.f64 108/841 x))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(fma.f64 (neg.f64 (/.f64 (sqrt.f64 46656/20511149) x)) (/.f64 (sqrt.f64 46656/20511149) x) (/.f64 108/841 x))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(/.f64 (+.f64 108/841 (/.f64 -46656/20511149 x)) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (fma.f64 (.f64 -46656/20511149 (pow.f64 x -2)) 1 (.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 46656/20511149) x) (sqrt.f64 (/.f64 108/841 x))) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 46656/20511149 (*.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 46656/20511149) x) (sqrt.f64 (/.f64 108/841 x))) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (+.f64 (/.f64 (sqrt.f64 46656/20511149) x) (sqrt.f64 (/.f64 108/841 x))) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 46656/20511149 (pow.f64 x -2)))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (.f64 46656/20511149 (pow.f64 x -2))))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)) (+.f64 (.f64 -46656/20511149 (pow.f64 x -2)) (.f64 46656/20511149 (pow.f64 x -2))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 46656/20511149) x) (sqrt.f64 (/.f64 108/841 x))) (-.f64 (sqrt.f64 (/.f64 108/841 x)) (/.f64 (sqrt.f64 46656/20511149) x)))
(fma.f64 (neg.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2))) (/.f64 108/841 x))
(fma.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (neg.f64 (cbrt.f64 (*.f64 46656/20511149 (pow.f64 x -2)))) (/.f64 108/841 x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x 841/108)
✓	0.1b	(.f64 x (.f64 x 707281/11664))
	0.2b	(*.f64 x 707281/11664)
✓	15.5b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite132.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`log-prod_binary64`
573×	`prod-diff_binary64`
249×	`fma-def_binary64`
228×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	277	18
2	3775	16

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

Outputs

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simplify184.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

391×	`unswap-sqr_binary64`
369×	`cancel-sign-sub-inv_binary64`
239×	`fma-neg_binary64`
194×	`+-commutative_binary64`
172×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	10793
1	1457	7576
2	5131	5268

Stop Event

1×	node limit

Counts

250 → 285

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))
(*.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 4/29 (*.f64 x 841/108))
(+.f64 (*.f64 x 841/108) 4/29)
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(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 2) (cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) (cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 2) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841))
(.f64 (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29))
(pow.f64 (fma.f64 x 841/108 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (neg.f64 (fma.f64 x -841/108 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))
(fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (neg.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x -841/108 4/29))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (*.f64 x 841/108) 1 4/29)
(fma.f64 1 (*.f64 x 841/108) 4/29)
(fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x -841/108 4/29))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 x 841/108)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108) 4/29)
(fma.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 4/29)
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 841/108 (sqrt.f64 x)) 4/29)
(fma.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (.f64 x 841/108)) 4/29)
(fma.f64 (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (/.f64 (.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))
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(fma.f64 (/.f64 16/841 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (neg.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x -841/108 4/29))))
(fma.f64 (/.f64 16/841 (fma.f64 (.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29) (neg.f64 (/.f64 (.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))
(fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(-.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 841/108) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(sqrt.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))
(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))))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (.f64 2 (log.f64 (.f64 x 841/108))))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 841/108))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1/2)
(pow.f64 (*.f64 x 841/108) 1)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(pow.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 707281/11664 (.f64 x x)))
(fabs.f64 (*.f64 x 841/108))
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(exp.f64 (log.f64 (*.f64 x 841/108)))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))

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))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.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))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.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))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.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))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.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))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.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))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.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)
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(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 4/29))
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(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 4/29))
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(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x -841/108 4/29))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 4/29))
(fma.f64 (/.f64 16/841 (-.f64 64/24389 (.f64 594823321/1259712 (pow.f64 x 3)))) (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (neg.f64 (/.f64 (.f64 707281/11664 (.f64 x x)) (fma.f64 x -841/108 4/29))))
(+.f64 (fma.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (.f64 707281/11664 (.f64 x x)) (.f64 (.f64 707281/11664 (.f64 x x)) (/.f64 1 (fma.f64 x -841/108 4/29)))) (fma.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 -594823321/1259712 (pow.f64 x 3)))) (fma.f64 (.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841) (.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (.f64 707281/11664 (.f64 x x)))))
(+.f64 (.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (.f64 x 707281/11664))) 0) (fma.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712))) (fma.f64 (.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841) (.f64 (.f64 x x) (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)))))
(fma.f64 (/.f64 16/841 (+.f64 64/24389 (.f64 (pow.f64 x 3) -594823321/1259712))) (fma.f64 (.f64 841/108 x) (fma.f64 841/108 x 4/29) 16/841) (.f64 (.f64 x x) (/.f64 -707281/11664 (fma.f64 x -841/108 4/29))))
(fma.f64 (/.f64 16/841 (fma.f64 (.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29) (neg.f64 (/.f64 (.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))))
(+.f64 (fma.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (.f64 707281/11664 (.f64 x x)) (.f64 (.f64 707281/11664 (.f64 x x)) (/.f64 1 (fma.f64 x -841/108 4/29)))) (fma.f64 (/.f64 16/841 (fma.f64 (.f64 x x) -707281/11664 16/841)) (fma.f64 841/108 x 4/29) (.f64 (/.f64 -1 (fma.f64 x -841/108 4/29)) (.f64 707281/11664 (*.f64 x x)))))
(+.f64 (.f64 (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (.f64 x 707281/11664))) 0) (fma.f64 (/.f64 16/841 (fma.f64 (.f64 x x) -707281/11664 16/841)) (fma.f64 841/108 x 4/29) (.f64 (*.f64 x x) (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)))))
(fma.f64 (fma.f64 841/108 x 4/29) (/.f64 16/841 (fma.f64 (.f64 x x) -707281/11664 16/841)) (.f64 (*.f64 x x) (/.f64 -707281/11664 (fma.f64 x -841/108 4/29))))
(fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 0 (.f64 707281/11664 (.f64 x x)))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(-.f64 (exp.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x)))) 1)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (*.f64 x 841/108) 2)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 3)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(sqrt.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) 707281/11664) x))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(log.f64 (+.f64 1 (expm1.f64 (.f64 707281/11664 (.f64 x x)))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) 353814783205469041/1586874322944))
(cbrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (.f64 2 (log.f64 (.f64 x 841/108))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(exp.f64 (.f64 (.f64 2 (log.f64 (*.f64 x 841/108))) 1))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(+.f64 0 (*.f64 x 841/108))
(*.f64 841/108 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)) (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(*.f64 841/108 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 841/108))) 1)
(*.f64 841/108 x)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1/2)
(*.f64 841/108 x)
(pow.f64 (*.f64 x 841/108) 1)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(*.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)))
(*.f64 841/108 x)
(fabs.f64 (*.f64 x 841/108))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 841/108))))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) 1))
(*.f64 841/108 x)

localize35.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4/29 (*.f64 841/108 x))
	0.1b	(*.f64 841/108 x)
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	15.5b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite131.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`log-prod_binary64`
548×	`prod-diff_binary64`
244×	`fma-def_binary64`
226×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	280	14
2	3803	10

Stop Event

1×	node limit

Counts

2 → 230

Calls

Call 1

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

Outputs

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

simplify163.0ms (3%)

Algorithm

1×	egg-herbie

Rules

404×	`unswap-sqr_binary64`
367×	`fma-neg_binary64`
187×	`div-sub_binary64`
175×	`times-frac_binary64`
172×	`fma-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	601	7847
1	1521	5776
2	5719	4461

Stop Event

1×	node limit

Counts

254 → 290

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))
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(+.f64 (*.f64 -841/108 x) 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 -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 x 841/108))
(+.f64 (*.f64 x 841/108) 4/29)
(+.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (sqrt.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))))) (sqrt.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))) (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(+.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(+.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29))) (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(+.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 (.f64 x 841/108) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (.f64 x 841/108) (sqrt.f64 (fma.f64 x -841/108 4/29))) (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(+.f64 0 (fma.f64 x 841/108 4/29))
(+.f64 (fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))
(+.f64 (fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))
(+.f64 (fma.f64 (/.f64 16/841 (-.f64 64/24389 (pow.f64 (.f64 x 841/108) 3))) (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 4/29)))))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)
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(*.f64 (fma.f64 x 841/108 4/29) 1)
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(*.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 2) (.f64 (cbrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) (/.f64 1 (fma.f64 x -841/108 4/29))))
(*.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (sqrt.f64 (fma.f64 x 841/108 4/29)))
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(.f64 (neg.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) (/.f64 1 (neg.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (fma.f64 (.f64 x x) -707281/11664 16/841))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 1 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x -841/108 4/29)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (cbrt.f64 (fma.f64 x 841/108 4/29)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (cbrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 x x) -707281/11664 16/841)) 2) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (cbrt.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (sqrt.f64 (fma.f64 x -841/108 4/29))))
(.f64 (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (-.f64 64/24389 (pow.f64 (.f64 x 841/108) 3))) (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841))
(.f64 (/.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (fma.f64 (*.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29))
(pow.f64 (fma.f64 x 841/108 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1) -1)
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (neg.f64 (fma.f64 x -841/108 4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) 3) (pow.f64 (fma.f64 x -841/108 4/29) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 841/108 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (log.f64 (fma.f64 x 841/108 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))
(fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(fma.f64 (*.f64 x 841/108) 1 4/29)
(fma.f64 1 (*.f64 x 841/108) 4/29)
(fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 x 841/108)) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108) 4/29)
(fma.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 4/29)
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x 707281/11664)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)
(fma.f64 (sqrt.f64 (.f64 x 841/108)) (sqrt.f64 (.f64 x 841/108)) 4/29)
(fma.f64 (.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (sqrt.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) 4/29)
(fma.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (/.f64 16/841 (-.f64 64/24389 (pow.f64 (.f64 x 841/108) 3))) (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (neg.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (/.f64 16/841 (fma.f64 (.f64 x x) -707281/11664 16/841)) (fma.f64 x 841/108 4/29) (neg.f64 (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
(+.f64 4/29 (*.f64 x -841/108))
(+.f64 4/29 (.f64 (.f64 x -841/108) 1))
(+.f64 (*.f64 x -841/108) 4/29)
(+.f64 0 (fma.f64 x -841/108 4/29))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29))) (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x -841/108 4/29)))))
(.f64 (fma.f64 (.f64 x x) -707281/11664 16/841) (/.f64 1 (fma.f64 x 841/108 4/29)))
(*.f64 (fma.f64 x -841/108 4/29) 1)
(*.f64 1 (fma.f64 x -841/108 4/29))
(*.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (cbrt.f64 (fma.f64 x -841/108 4/29)))
(*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (sqrt.f64 (fma.f64 x -841/108 4/29)))
(.f64 (-.f64 64/24389 (pow.f64 (.f64 x 841/108) 3)) (/.f64 1 (fma.f64 (*.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x 841/108 4/29))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (pow.f64 (.f64 x 841/108) 3))))
(/.f64 1 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 (*.f64 x x) -707281/11664 16/841)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841)) (neg.f64 (fma.f64 x 841/108 4/29)))
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(/.f64 (neg.f64 (-.f64 64/24389 (pow.f64 (.f64 x 841/108) 3))) (neg.f64 (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841)))
(/.f64 (+.f64 64/24389 (pow.f64 (.f64 x -841/108) 3)) (+.f64 16/841 (-.f64 (.f64 (.f64 x -841/108) (.f64 x -841/108)) (.f64 4/29 (.f64 x -841/108)))))
(/.f64 (-.f64 16/841 (.f64 (.f64 x -841/108) (.f64 x -841/108))) (-.f64 4/29 (.f64 x -841/108)))
(pow.f64 (fma.f64 x -841/108 4/29) 1)
(pow.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x 841/108) (fma.f64 x 841/108 4/29) 16/841) (-.f64 64/24389 (pow.f64 (.f64 x 841/108) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x 841/108 4/29) (fma.f64 (*.f64 x x) -707281/11664 16/841)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2))
(log.f64 (exp.f64 (fma.f64 x -841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -841/108 4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x -841/108 4/29) 3))
(expm1.f64 (log1p.f64 (fma.f64 x -841/108 4/29)))
(log1p.f64 (expm1.f64 (fma.f64 x -841/108 4/29)))
(exp.f64 (log.f64 (fma.f64 x -841/108 4/29)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x -841/108 4/29)) 1))
(fma.f64 x -841/108 4/29)
(fma.f64 841/108 (neg.f64 x) 4/29)
(fma.f64 1 (*.f64 x -841/108) 4/29)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (neg.f64 (cbrt.f64 (.f64 x 841/108))) 4/29)
(fma.f64 (sqrt.f64 (.f64 x 841/108)) (neg.f64 (sqrt.f64 (.f64 x 841/108))) 4/29)
(fma.f64 -841/108 x 4/29)
(fma.f64 (.f64 (cbrt.f64 (.f64 x -841/108)) (cbrt.f64 (.f64 x -841/108))) (cbrt.f64 (.f64 x -841/108)) 4/29)
(fma.f64 (sqrt.f64 (.f64 x -841/108)) (sqrt.f64 (.f64 x -841/108)) 4/29)
(fma.f64 -1 (*.f64 x 841/108) 4/29)
(fma.f64 (neg.f64 x) 841/108 4/29)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x 841/108))) (sqrt.f64 (.f64 x 841/108)) 4/29)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2)) (cbrt.f64 (.f64 x 841/108)) 4/29)
(fma.f64 (*.f64 -841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)
(fma.f64 (*.f64 -841/108 (sqrt.f64 x)) (sqrt.f64 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)
4/29
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(+.f64 (*.f64 -841/108 x) 4/29)
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 -841/108 x))
(fma.f64 x -841/108 4/29)
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (sqrt.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))))) (sqrt.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))) (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 841/108 x 4/29)
(+.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 841/108 x 4/29)
(+.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29))) (.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))
(fma.f64 841/108 x 4/29)
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(fma.f64 841/108 x 4/29)
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 707281/11664 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)))))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) -707281/11664))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 4/29))
(+.f64 0 (fma.f64 x 841/108 4/29))
(fma.f64 841/108 x 4/29)
(+.f64 (fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))
(+.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) -707281/11664))
(/.f64 (fma.f64 (*.f64 x x) -707281/11664 16/841) (fma.f64 x -841/108 4/29))
(+.f64 (fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))
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eval1.4s (26.1%)

Compiler: Compiled 38685 to 30002 computations (22.4% saved)

prune369.0ms (6.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1253	1	1254
Fresh	0	2	2
Picked	1	0	1
Done	4	3	7
Total	1258	6	1264

Error

Counts

1264 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.6b	(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
▶	30.6b	(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
✓	30.9b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.8b	(*.f64 841/108 x)
	32.5b	4/29

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 108/841 (/.f64 -46656/20511149 x))
✓	0.2b	(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
✓	0.6b	(/.f64 -46656/20511149 x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 -46656/20511149 x)
0.0ms	x	@	inf	(/.f64 -46656/20511149 x)
0.0ms	x	@	-inf	(/.f64 -46656/20511149 x)
0.0ms	x	@	0	(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
0.0ms	x	@	-inf	(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

889×	`pow1_binary64`
842×	`add-log-exp_binary64`
842×	`log1p-expm1-u_binary64`
842×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	164	21
2	2199	21

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs
(/.f64 -46656/20511149 x)
(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
(+.f64 108/841 (/.f64 -46656/20511149 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -46656/20511149 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -46656/20511149 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -46656/20511149 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -46656/20511149 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 46656/20511149 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -46656/20511149)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -46656/20511149 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -20511149/46656) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -46656/20511149 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -46656/20511149 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (/.f64 -46656/20511149 x)) -108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 x (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2))) (-.f64 108/841 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (+.f64 (neg.f64 (/.f64 -46656/20511149 x)) -108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 11664/707281 (-.f64 108/841 (/.f64 -46656/20511149 x))) (/.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 108/841 (/.f64 -46656/20511149 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (/.f64 1 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (/.f64 1 (-.f64 108/841 (/.f64 -46656/20511149 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))) (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 108/841 (/.f64 -46656/20511149 x)) (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (-.f64 108/841 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (neg.f64 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2))) (neg.f64 (-.f64 108/841 (/.f64 -46656/20511149 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) 11664/707281) (-.f64 (/.f64 -46656/20511149 x) 108/841))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -46656/20511149 (/.f64 1 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -46656/20511149 x) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)))))

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

591×	`fma-def_binary64`
566×	`associate-/r*_binary64`
491×	`unswap-sqr_binary64`
488×	`associate-/l*_binary64`
392×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	1287
1	506	1178
2	1777	1092

Stop Event

1×	node limit

Counts

108 → 131

Calls

Call 1

Inputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 -46656/20511149 x)) 1)
(*.f64 -46656/20511149 (/.f64 1 x))
(*.f64 (/.f64 -46656/20511149 x) 1)
(*.f64 1 (/.f64 -46656/20511149 x))
(*.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)))
(*.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)))
(*.f64 46656/20511149 (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) -46656/20511149)
(pow.f64 (/.f64 -46656/20511149 x) 1)
(pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 3)
(pow.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) 2)
(pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1/3)
(pow.f64 (*.f64 x -20511149/46656) -1)
(sqrt.f64 (pow.f64 (/.f64 -46656/20511149 x) 2))
(log.f64 (exp.f64 (/.f64 -46656/20511149 x)))
(cbrt.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 -46656/20511149 x)))
(log1p.f64 (expm1.f64 (/.f64 -46656/20511149 x)))
(exp.f64 (log.f64 (/.f64 -46656/20511149 x)))
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 1)
(*.f64 x (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)
(*.f64 1 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (/.f64 -46656/20511149 x)) -108/841)))
(*.f64 (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 x (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(*.f64 (/.f64 x (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))))
(*.f64 (/.f64 x (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2))) (-.f64 108/841 (/.f64 -46656/20511149 x)))
(pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)
(pow.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2)
(pow.f64 (/.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) x) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (/.f64 -46656/20511149 x)) -108/841)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(exp.f64 (log.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(-.f64 (+.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)
(-.f64 (/.f64 11664/707281 (-.f64 108/841 (/.f64 -46656/20511149 x))) (/.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 108/841 (/.f64 -46656/20511149 x))))
(*.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)
(*.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(*.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (/.f64 1 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x)))))
(*.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (/.f64 1 (-.f64 108/841 (/.f64 -46656/20511149 x))))
(/.f64 1 (/.f64 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))) (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 108/841 (/.f64 -46656/20511149 x)) (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (-.f64 108/841 (/.f64 -46656/20511149 x)))
(/.f64 (neg.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))) (neg.f64 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x)))))
(/.f64 (neg.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2))) (neg.f64 (-.f64 108/841 (/.f64 -46656/20511149 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) 11664/707281) (-.f64 (/.f64 -46656/20511149 x) 108/841))
(pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)
(pow.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(exp.f64 (log.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(fma.f64 -46656/20511149 (/.f64 1 x) 108/841)
(fma.f64 1 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)

Outputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(.f64 -20511149/46656 (.f64 x x))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -20511149/46656 (.f64 x x) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -20511149/46656 (.f64 x x)))
(.f64 (.f64 x x) (+.f64 -20511149/46656 (*.f64 -500246412961/20155392 x)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -500246412961/20155392 (pow.f64 x 3))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -12200509765705829/8707129344 (pow.f64 x 4))))
(fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 (.f64 x x) (+.f64 -20511149/46656 (*.f64 -500246412961/20155392 x))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -297558232675799463481/3761479876608 (pow.f64 x 5) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(fma.f64 -20511149/46656 (.f64 x x) (fma.f64 -500246412961/20155392 (pow.f64 x 3) (fma.f64 -12200509765705829/8707129344 (pow.f64 x 4) (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)))))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x 841/108 (/.f64 746496/17249876309 (*.f64 x x))) (+.f64 (/.f64 1728/707281 x) 4/29))
(*.f64 841/108 x)
(*.f64 x 841/108)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (fma.f64 841/108 x (/.f64 1728/707281 x)))
(+.f64 4/29 (fma.f64 x 841/108 (/.f64 1728/707281 x)))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(+.f64 4/29 (+.f64 (fma.f64 841/108 x (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 4/29 (+.f64 (fma.f64 x 841/108 (/.f64 1728/707281 x)) (/.f64 746496/17249876309 (*.f64 x x))))
(+.f64 (fma.f64 x 841/108 (/.f64 746496/17249876309 (*.f64 x x))) (+.f64 (/.f64 1728/707281 x) 4/29))
(/.f64 -46656/20511149 x)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
108/841
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 108/841 (*.f64 46656/20511149 (/.f64 1 x)))
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(-.f64 (+.f64 1 (/.f64 -46656/20511149 x)) 1)
(/.f64 -46656/20511149 x)
(*.f64 -46656/20511149 (/.f64 1 x))
(/.f64 -46656/20511149 x)
(*.f64 (/.f64 -46656/20511149 x) 1)
(/.f64 -46656/20511149 x)
(*.f64 1 (/.f64 -46656/20511149 x))
(/.f64 -46656/20511149 x)
(*.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2))
(/.f64 -46656/20511149 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(*.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(*.f64 46656/20511149 (/.f64 1 (neg.f64 x)))
(/.f64 -46656/20511149 x)
(*.f64 (/.f64 1 x) -46656/20511149)
(/.f64 -46656/20511149 x)
(pow.f64 (/.f64 -46656/20511149 x) 1)
(/.f64 -46656/20511149 x)
(pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 3)
(/.f64 -46656/20511149 x)
(pow.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) 2)
(/.f64 -46656/20511149 x)
(pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1/3)
(cbrt.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))
(pow.f64 (*.f64 x -20511149/46656) -1)
(/.f64 -46656/20511149 x)
(sqrt.f64 (pow.f64 (/.f64 -46656/20511149 x) 2))
(/.f64 -46656/20511149 x)
(log.f64 (exp.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(cbrt.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(log1p.f64 (expm1.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(exp.f64 (log.f64 (/.f64 -46656/20511149 x)))
(/.f64 -46656/20511149 x)
(-.f64 (+.f64 1 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 x (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 1 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) 2) (cbrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))) (sqrt.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (/.f64 -46656/20511149 x)) -108/841)))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (/.f64 46656/20511149 x) -108/841)))
(/.f64 (neg.f64 x) (+.f64 (/.f64 46656/20511149 x) -108/841))
(*.f64 (/.f64 1 (+.f64 (/.f64 -46656/20511149 x) 108/841)) x)
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 (/.f64 -46656/20511149 x) 108/841)))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
(+.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 0)
(/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2)) (/.f64 x (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841))))
(+.f64 1 (-.f64 (/.f64 x (+.f64 (/.f64 -46656/20511149 x) 108/841)) 1))
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(-.f64 (/.f64 11664/707281 (-.f64 108/841 (/.f64 -46656/20511149 x))) (/.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 108/841 (/.f64 -46656/20511149 x))))
(/.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (-.f64 108/841 (/.f64 -46656/20511149 x)))
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(*.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 1)
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) 2) (cbrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)) (sqrt.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
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(*.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (/.f64 1 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 (/.f64 2176782336/420707233300201 x) x) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(*.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (/.f64 1 (-.f64 108/841 (/.f64 -46656/20511149 x))))
(/.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (-.f64 108/841 (/.f64 -46656/20511149 x)))
(/.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 (-.f64 11664/707281 (/.f64 (/.f64 2176782336/420707233300201 x) x)) (+.f64 108/841 (/.f64 46656/20511149 x)))
(/.f64 1 (/.f64 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))) (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)))))
(*.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (/.f64 1 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x)))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (/.f64 (/.f64 2176782336/420707233300201 x) x) (+.f64 11664/707281 (/.f64 5038848/17249876309 x))))
(/.f64 1 (/.f64 (-.f64 108/841 (/.f64 -46656/20511149 x)) (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2))))
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(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x))))
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(/.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (+.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
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(/.f64 (+.f64 1259712/594823321 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3))) (+.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (-.f64 11664/707281 (/.f64 -5038848/17249876309 x))))
(*.f64 (+.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 3)) 1259712/594823321) (/.f64 1 (+.f64 11664/707281 (-.f64 (pow.f64 (/.f64 -46656/20511149 x) 2) (/.f64 -5038848/17249876309 x)))))
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(/.f64 (-.f64 11664/707281 (pow.f64 (/.f64 -46656/20511149 x) 2)) (-.f64 108/841 (/.f64 -46656/20511149 x)))
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841) 2))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
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(exp.f64 (log.f64 (+.f64 (/.f64 -46656/20511149 x) 108/841)))
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(fma.f64 -46656/20511149 (/.f64 1 x) 108/841)
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(fma.f64 1 (/.f64 -46656/20511149 x) 108/841)
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(+.f64 (/.f64 -46656/20511149 x) 108/841)
(fma.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)) 108/841)
(+.f64 (/.f64 -46656/20511149 x) 108/841)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 x 3) 594823321/1259712)
	0.2b	(.f64 (.f64 x x) 707281/11664)
	0.6b	(*.f64 x 29/27)
✓	20.9b	(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))

Compiler

Compiled 69 to 49 computations (29% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) 594823321/1259712)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) 594823321/1259712)
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 594823321/1259712)
0.0ms	x	@	0	(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))

rewrite74.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`log-prod_binary64`
549×	`fma-def_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`
301×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	397	31
2	5110	29

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
(*.f64 (pow.f64 x 3) 594823321/1259712)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2)) (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))) (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (pow.f64 (fma.f64 x -29/27 16/841) 3))) (fma.f64 (fma.f64 x -29/27 16/841) (-.f64 (fma.f64 x -29/27 16/841) (pow.f64 (*.f64 x 841/108) 2)) (*.f64 (pow.f64 x 4) 500246412961/136048896)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (-.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 x -29/27 16/841) 2))) (-.f64 (pow.f64 (*.f64 x 841/108) 2) (fma.f64 x -29/27 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (neg.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 3) (pow.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 594823321/1259712) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 x 841/108))) 1))))))

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

427×	`div-sub_binary64`
336×	`log-prod_binary64`
315×	`distribute-rgt-in_binary64`
306×	`distribute-lft-in_binary64`
303×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1396
1	380	1334
2	1195	1288
3	5612	1282

Stop Event

1×	node limit

Counts

78 → 83

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 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 0 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))) 1)
(.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1)
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2)) (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2)) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (/.f64 1 (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108))) (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (.f64 x 841/108))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (hypot.f64 (sqrt.f64 (fma.f64 x -29/27 16/841)) (*.f64 x 841/108))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 (pow.f64 (fma.f64 x -29/27 16/841) 3))) (fma.f64 (fma.f64 x -29/27 16/841) (-.f64 (fma.f64 x -29/27 16/841) (pow.f64 (.f64 x 841/108) 2)) (*.f64 (pow.f64 x 4) 500246412961/136048896)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (pow.f64 (fma.f64 x -29/27 16/841) 2))) (-.f64 (pow.f64 (*.f64 x 841/108) 2) (fma.f64 x -29/27 16/841)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -1)
(neg.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (neg.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 3) (pow.f64 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 1))
(+.f64 0 (*.f64 (pow.f64 x 3) 594823321/1259712))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3))) (cbrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1)
(pow.f64 (*.f64 x 841/108) 3)
(pow.f64 (*.f64 (sqrt.f64 594823321/1259712) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(cbrt.f64 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(exp.f64 (.f64 3 (log.f64 (.f64 x 841/108))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 841/108))) 1))

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 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 0 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.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))))))) (log.f64 (cbrt.f64 (exp.f64 (/.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 3 (log.f64 (cbrt.f64 (exp.f64 (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))) 1)
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) 1)
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 1 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) 2) (cbrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) 2)) (.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (cbrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))))
(.f64 (cbrt.f64 (pow.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)) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
(.f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) (fma.f64 x -29/27 16/841))) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 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) (fma.f64 x (*.f64 x 707281/11664) (fma.f64 x -29/27 16/841)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(cbrt.f64 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 594823321/1259712)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (.f64 3 (log.f64 (.f64 x 841/108))))
(*.f64 594823321/1259712 (pow.f64 x 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x 841/108))) 1))
(*.f64 594823321/1259712 (pow.f64 x 3))

eval104.0ms (1.9%)

Compiler: Compiled 4480 to 3523 computations (21.4% saved)

prune34.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	246	6	252

Error

Counts

252 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.6b	(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
✓	30.6b	(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
	30.9b	(/.f64 x 108/841)
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.8b	(*.f64 841/108 x)
	32.5b	4/29

Compiler

Compiled 44 to 35 computations (20.5% saved)

regimes53.0ms (1%)

Counts

18 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(/.f64 x 108/841)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(fma.f64 841/108 x 4/29)
(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
(/.f64 (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712)) (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) (-.f64 16/841 (.f64 x 29/27))) (+.f64 64/24389 (.f64 (pow.f64 x 3) 594823321/1259712))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(+.f64 (/.f64 x (/.f64 (fma.f64 841/108 x -4/29) (*.f64 x 707281/11664))) (/.f64 -16/841 (fma.f64 841/108 x -4/29)))
(-.f64 (/.f64 x (/.f64 (fma.f64 x 841/108 -4/29) (*.f64 x 707281/11664))) (/.f64 16/841 (fma.f64 x 841/108 -4/29)))

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

Calls

5 calls:

12.0ms	(*.f64 (/.f64 841 108) x)
11.0ms	x
9.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
9.0ms	(*.f64 (/.f64 841 108) x)
6.0ms	(+.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 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(*.f64 (/.f64 841 108) x)`
0.1b	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 214 to 166 computations (22.4% saved)

regimes32.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(/.f64 x 108/841)
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (/.f64 108/841 x))
(/.f64 x (+.f64 108/841 (/.f64 -46656/20511149 x)))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 1 (-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x))))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

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

Calls

5 calls:

7.0ms	(*.f64 (/.f64 841 108) x)
6.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
6.0ms	(*.f64 (/.f64 841 108) x)
6.0ms	x
4.0ms	(+.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 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(*.f64 (/.f64 841 108) x)`
0.1b	1	`(*.f64 (/.f64 841 108) x)`

Compiler

Compiled 105 to 83 computations (21% saved)

regimes14.0ms (0.3%)

Accuracy

Total -60.3b remaining (-4050.7%)

Threshold costs -60.3b (-4050.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch34.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	5.015603817770569e-5	59057351.309445724
18.0ms	-5919.394859111408	-2.7178019270334122e-8

Results

30.0ms

320×

body

256

valid

Compiler

Compiled 174 to 152 computations (12.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	16	34

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 -1261007895663739/72057594037927936) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 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 -1261007895663739/72057594037927936) (.f64 841/108 x) (if (<=.f64 x 1261007895663739/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	16	5

Stop Event

1×

saturated

Compiler

Compiled 31 to 27 computations (12.9% saved)

end28.0ms (0.5%)

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

Details

analyze3.0ms (0.1%)

sample856.0ms (15.7%)

preprocess38.0ms (0.7%)

simplify6.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.6%)

series2.0ms (0%)

rewrite47.0ms (0.9%)

simplify44.0ms (0.8%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite38.0ms (0.7%)

simplify44.0ms (0.8%)

eval25.0ms (0.5%)

prune18.0ms (0.3%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite46.0ms (0.8%)

simplify45.0ms (0.8%)

localize3.0ms (0%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite64.0ms (1.2%)

simplify57.0ms (1%)

localize37.0ms (0.7%)

series7.0ms (0.1%)

rewrite79.0ms (1.5%)

simplify65.0ms (1.2%)

localize13.0ms (0.2%)

series5.0ms (0.1%)

rewrite57.0ms (1%)

simplify48.0ms (0.9%)

eval172.0ms (3.2%)

prune65.0ms (1.2%)

localize22.0ms (0.4%)

series6.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify71.0ms (1.3%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite42.0ms (0.8%)

simplify40.0ms (0.7%)

localize12.0ms (0.2%)

series3.0ms (0.1%)

rewrite72.0ms (1.3%)

simplify108.0ms (2%)

localize17.0ms (0.3%)

series3.0ms (0%)

rewrite132.0ms (2.4%)

simplify184.0ms (3.4%)

localize35.0ms (0.6%)

series1.0ms (0%)

rewrite131.0ms (2.4%)

simplify163.0ms (3%)

eval1.4s (26.1%)

prune369.0ms (6.8%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite59.0ms (1.1%)

simplify51.0ms (0.9%)

localize24.0ms (0.4%)

series5.0ms (0.1%)

rewrite74.0ms (1.4%)

simplify66.0ms (1.2%)

eval104.0ms (1.9%)

prune34.0ms (0.6%)

regimes53.0ms (1%)

regimes32.0ms (0.6%)

regimes14.0ms (0.3%)

bsearch34.0ms (0.6%)

simplify3.0ms (0.1%)

soundness10.0ms (0.2%)

end28.0ms (0.5%)

Profiling