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)

sample811.0ms (17.3%)

Results

776.0ms	8252×	body	256	valid
1.0ms	4×	body	1024	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess13.0ms (0.3%)

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)

localize33.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
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))

rewrite48.0ms (1%)

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)))))

simplify63.0ms (1.3%)

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)

rewrite37.0ms (0.8%)

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 (0.9%)

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)

eval55.0ms (1.2%)

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

prune15.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	85	8	93
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	87	8	95

Error

Counts

95 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.1b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	24.1b	(/.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))))
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
	0.2b	(+.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)
▶	18.1b	(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
▶	30.8b	(*.f64 841/108 x)
	33.1b	4/29

Compiler

Compiled 178 to 144 computations (19.1% 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	@	0	(+.f64 (*.f64 841/108 x) 4/29)
0.0ms	x	@	inf	(*.f64 841/108 x)
0.0ms	x	@	-inf	(+.f64 (*.f64 841/108 x) 4/29)
0.0ms	x	@	inf	(+.f64 (*.f64 841/108 x) 4/29)

rewrite44.0ms (0.9%)

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)))))

simplify49.0ms (1%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize35.0ms (0.7%)

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)
✓	16.8b	(/.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)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite99.0ms (2.1%)

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	33
1	280	21
2	3803	17

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

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

Outputs

((#(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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (*.f64 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simplify203.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

411×	`fma-neg_binary64`
279×	`div-sub_binary64`
182×	`times-frac_binary64`
173×	`associate-+r+_binary64`
172×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	637	8119
1	1591	6018
2	6046	4645

Stop Event

1×	node limit

Counts

282 → 308

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

localize37.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 841/108 x -4/29)
✓	0.1b	(/.f64 1 (fma.f64 841/108 x -4/29))
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	16.8b	(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))

Compiler

Compiled 46 to 31 computations (32.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
0.0ms	x	@	inf	(/.f64 1 (fma.f64 841/108 x -4/29))
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (fma.f64 841/108 x -4/29)))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 841/108 x -4/29))

rewrite69.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`log-prod_binary64`
318×	`pow-prod-down_binary64`
312×	`pow2_binary64`
219×	`prod-diff_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	278	28
2	3266	28

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.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 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29))) (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))) (*.f64 (*.f64 (*.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 (*.f64 x x) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.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 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (exp.f64 (/.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 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 1)))) (#(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 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 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2) (/.f64 (fma.f64 x 841/108 -4/29) (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)) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 x 841/108 -4/29) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.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 (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 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729)) 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simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

567×	`unswap-sqr_binary64`
253×	`div-sub_binary64`
179×	`log-prod_binary64`
168×	`sqr-pow_binary64`
149×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	1939
1	729	1877
2	2984	1876

Stop Event

1×	node limit

Counts

162 → 180

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)) 29/4)
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(/.f64 108/841 x)
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x)))
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.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 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(/.f64 108/841 x)
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x)))
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.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 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
-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 0 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))
(+.f64 (.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29))) (.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(+.f64 (.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))) (.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (.f64 x x) 707281/11664)) (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841) (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (.f64 x x) 707281/11664)))
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(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (.f64 x 707281/11664) 16/841)))
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(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1) (fma.f64 x 841/108 -4/29))
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(/.f64 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)) 1)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 2)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 x 841/108 -4/29) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 x 841/108 -4/29) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 2))
(fma.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(fma.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (.f64 (*.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (.f64 x x) 707281/11664) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))
(fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (*.f64 x x) 707281/11664)))
(+.f64 0 (/.f64 1 (fma.f64 x 841/108 -4/29)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x 841/108 -4/29)))
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) (pow.f64 (fma.f64 x 841/108 -4/29) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(pow.f64 (fma.f64 x 841/108 -4/29) -1)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2) -1/2)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) -1/3)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2) 1/2)
(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 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) -2)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x 841/108 -4/29))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) -1))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)))) 3))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x 841/108 -4/29))) 2))
(+.f64 -4/29 (*.f64 x 841/108))
(+.f64 0 (fma.f64 x 841/108 -4/29))
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(+.f64 (.f64 (.f64 x 841/108) 1) -4/29)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))))
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(*.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)))
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(/.f64 1 (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x 841/108 -4/29) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))
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(pow.f64 (fma.f64 x 841/108 -4/29) 1)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -1)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) 1/3)
(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 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) -3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 2)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) -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)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 841/108 -4/29))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29))) 2))

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)
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(fma.f64 -707281/1728 x -29/4)
(fma.f64 x -707281/1728 -29/4)
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)) 29/4)
(+.f64 (.f64 -17249876309/746496 (.f64 x x)) (fma.f64 -707281/1728 x -29/4))
(fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 -29/4))
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(+.f64 (fma.f64 -17249876309/746496 (.f64 x x) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x -707281/1728))) -29/4)
(+.f64 (fma.f64 -17249876309/746496 (.f64 x x) (fma.f64 x -707281/1728 (.f64 -420707233300201/322486272 (pow.f64 x 3)))) -29/4)
(+.f64 (.f64 x (+.f64 -707281/1728 (.f64 -17249876309/746496 x))) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) -29/4))
(/.f64 108/841 x)
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(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 46656/20511149 x) x) (+.f64 (+.f64 (/.f64 8707129344/12200509765705829 (pow.f64 x 4)) (/.f64 108/841 x)) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(/.f64 108/841 x)
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(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 1))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 1/3))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 3))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 2))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(fma.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(fma.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (.f64 (*.f64 x x) 707281/11664) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (.f64 x x) 707281/11664) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 (*.f64 x x) 707281/11664)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(+.f64 0 (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 1 (fma.f64 841/108 x -4/29))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x -4/29))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x -4/29))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 841/108 x -4/29))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 1)
(/.f64 1 (fma.f64 841/108 x -4/29))
(*.f64 1 (/.f64 1 (fma.f64 x 841/108 -4/29)))
(/.f64 1 (fma.f64 841/108 x -4/29))
(*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)
(/.f64 1 (fma.f64 841/108 x -4/29))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x -4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) -2)) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x -4/29))) (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) -2)) (cbrt.f64 (fma.f64 841/108 x -4/29)))
(*.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) (pow.f64 (fma.f64 x 841/108 -4/29) -1/2))
(/.f64 1 (fma.f64 841/108 x -4/29))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 841/108 x -4/29))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) -2) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (fma.f64 x 841/108 -4/29) -1)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2) -1/2)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) -1/6) (pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) -1/6))
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2) 1/2)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -3) 1/3)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) -3)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) 3)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) -2)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) 2)
(/.f64 1 (fma.f64 841/108 x -4/29))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x 841/108 -4/29))) -1)
(/.f64 1 (fma.f64 841/108 x -4/29))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2))
(/.f64 1 (fma.f64 841/108 x -4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 841/108 x -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))))
(/.f64 1 (fma.f64 841/108 x -4/29))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -3))
(/.f64 1 (fma.f64 841/108 x -4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 841/108 x -4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) -1))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))) 1))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -3)) 1/3))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)))) 3))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (.f64 (.f64 -1/2 (log.f64 (fma.f64 x 841/108 -4/29))) 2))
(/.f64 1 (fma.f64 841/108 x -4/29))
(+.f64 -4/29 (*.f64 x 841/108))
(fma.f64 841/108 x -4/29)
(+.f64 0 (fma.f64 x 841/108 -4/29))
(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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x -4/29))) 2)) (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 (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 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x -4/29)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 -4/29))) 1)
(fma.f64 841/108 x -4/29)
(*.f64 1 (fma.f64 x 841/108 -4/29))
(fma.f64 841/108 x -4/29)
(*.f64 (fma.f64 x 841/108 -4/29) 1)
(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 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 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 841/108 x -4/29)
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x 4/29))
(/.f64 1 (/.f64 1 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(/.f64 (fma.f64 x 841/108 -4/29) 1)
(fma.f64 841/108 x -4/29)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(fma.f64 841/108 x -4/29)
(/.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (fma.f64 x 841/108 -4/29) -1/2))
(fma.f64 841/108 x -4/29)
(/.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) -1)
(fma.f64 841/108 x -4/29)
(/.f64 (+.f64 (pow.f64 (.f64 x 841/108) 3) -64/24389) (fma.f64 x (.f64 x 707281/11664) (-.f64 16/841 (.f64 (.f64 x 841/108) -4/29))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 594823321/1259712) -64/24389) (fma.f64 x (.f64 x 707281/11664) (-.f64 16/841 (*.f64 x -29/27))))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 -64/24389) (fma.f64 x (.f64 x 707281/11664) (+.f64 16/841 (.f64 x 29/27))))
(pow.f64 (fma.f64 x 841/108 -4/29) 1)
(fma.f64 841/108 x -4/29)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -1)
(fma.f64 841/108 x -4/29)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2) 1/2)
(fma.f64 841/108 x -4/29)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3) 1/3)
(fma.f64 841/108 x -4/29)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) -3) -1/6) (pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) -3) -1/6))
(pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 3)
(fma.f64 841/108 x -4/29)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 841/108 x -4/29))) -3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 2)
(fma.f64 841/108 x -4/29)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) -2)
(pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) -1/2) -2)
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2))
(fma.f64 841/108 x -4/29)
(log.f64 (exp.f64 (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 841/108 x -4/29)
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3))
(fma.f64 841/108 x -4/29)
(expm1.f64 (log1p.f64 (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 841/108 x -4/29)
(exp.f64 (log.f64 (fma.f64 x 841/108 -4/29)))
(fma.f64 841/108 x -4/29)
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) 1))
(fma.f64 841/108 x -4/29)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 841/108 -4/29))) 1/3))
(fma.f64 841/108 x -4/29)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29))) 3))
(fma.f64 841/108 x -4/29)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29))) 2))
(fma.f64 841/108 x -4/29)

localize26.0ms (0.5%)

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)
✓	0.7b	(*.f64 x 29/27)
✓	23.1b	(/.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

3 → 36

Calls

9 calls:

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

rewrite79.0ms (1.7%)

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	37
1	397	35
2	5110	33

Stop Event

1×	node limit

Counts

3 → 70

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 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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 29/27))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x)) (cbrt.f64 (pow.f64 (exp.f64 29/27) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 29/27) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 29/27) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 29/27) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 24389/19683) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 841/729))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 29/27) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 29/27)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x 29/27)) 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))))))

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

371×	`log-prod_binary64`
320×	`distribute-rgt-in_binary64`
313×	`fma-def_binary64`
312×	`distribute-lft-in_binary64`
289×	`log-div_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	1551
1	450	1482
2	1322	1424
3	5861	1418

Stop Event

1×	node limit

Counts

106 → 103

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 29/27 x)
(*.f64 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 x 29/27))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x)) (cbrt.f64 (pow.f64 (exp.f64 29/27) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 29/27) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 29/27) x))))
(-.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 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 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 29/27 x)
(*.f64 x 29/27)
(*.f64 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)))))
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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)))
(/.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 0 (*.f64 x 29/27))
(*.f64 x 29/27)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x)) (cbrt.f64 (pow.f64 (exp.f64 29/27) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 29/27) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 29/27) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 29/27) x))))
(*.f64 x 29/27)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 29/27))) 1)
(*.f64 x 29/27)
(pow.f64 (*.f64 x 29/27) 1)
(*.f64 x 29/27)
(pow.f64 (cbrt.f64 (*.f64 x 29/27)) 3)
(*.f64 x 29/27)
(pow.f64 (sqrt.f64 (*.f64 x 29/27)) 2)
(*.f64 x 29/27)
(pow.f64 (*.f64 (pow.f64 x 3) 24389/19683) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(sqrt.f64 (.f64 (.f64 x x) 841/729))
(sqrt.f64 (.f64 x (.f64 x 841/729)))
(log.f64 (pow.f64 (exp.f64 29/27) x))
(*.f64 x 29/27)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 29/27))))
(*.f64 x 29/27)
(cbrt.f64 (*.f64 (pow.f64 x 3) 24389/19683))
(expm1.f64 (log1p.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(log1p.f64 (expm1.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (log.f64 (*.f64 x 29/27)))
(*.f64 x 29/27)
(exp.f64 (.f64 (log.f64 (.f64 x 29/27)) 1))
(*.f64 x 29/27)
(+.f64 0 (*.f64 (pow.f64 x 3) 594823321/1259712))
(*.f64 594823321/1259712 (pow.f64 x 3))
(+.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 (*.f64 2 (log.f64 (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 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 594823321/1259712 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 x 841/108) 3)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 594823321/1259712) (pow.f64 x 3/2)) 2)
(*.f64 594823321/1259712 (pow.f64 x 3))
(pow.f64 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)) 1/3)
(cbrt.f64 (*.f64 210457284365172120330305161/1999004627104432128 (pow.f64 (pow.f64 x 3) 3)))
(sqrt.f64 (*.f64 (pow.f64 x 6) 353814783205469041/1586874322944))
(log.f64 (pow.f64 (exp.f64 594823321/1259712) (pow.f64 x 3)))
(*.f64 594823321/1259712 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (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))

eval443.0ms (9.5%)

Compiler: Compiled 20174 to 15579 computations (22.8% saved)

prune161.0ms (3.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	702	5	707
Fresh	1	2	3
Picked	0	1	1
Done	1	3	4
Total	704	11	715

Error

Counts

715 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
▶	31.4b	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
✓	18.1b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	49.1b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108))
✓	24.1b	(/.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))))
	0.2b	(+.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)
▶	18.1b	(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
▶	49.1b	(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 108/841 x))
✓	30.8b	(*.f64 841/108 x)
	33.1b	4/29

Compiler

Compiled 194 to 155 computations (20.1% saved)

localize44.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`pow1_binary64`
619×	`add-log-exp_binary64`
617×	`log1p-expm1-u_binary64`
617×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	182	18
2	1920	18

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-neg_binary64`
631×	`unswap-sqr_binary64`
318×	`associate-*l/_binary64`
315×	`fma-def_binary64`
305×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1128
1	356	1060
2	1354	986
3	7369	986

Stop Event

1×	node limit

Counts

119 → 100

Calls

Call 1

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

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)
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (*.f64 x -707281/1728))
(fma.f64 x -707281/1728 29/4)
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728)))
(+.f64 29/4 (fma.f64 x -707281/1728 (.f64 x (.f64 x 17249876309/746496))))
(fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 29/4))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(+.f64 29/4 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 17249876309/746496 (.f64 x x) (.f64 x -707281/1728))))
(+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x (.f64 x 17249876309/746496))) (fma.f64 x -707281/1728 29/4))
(fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 (fma.f64 x (*.f64 x 17249876309/746496) 29/4)))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 108/841 x) (/.f64 46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x)))
(+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 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 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 46656/20511149 x) x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -46656/20511149 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 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (/.f64 46656/20511149 (*.f64 x x))))
(+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 108/841 x) (/.f64 -46656/20511149 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)) (/.f64 20155392/500246412961 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 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 (/.f64 108/841 x) (-.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 46656/20511149 x) x) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 20155392/500246412961 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -46656/20511149 x) x) (/.f64 -8707129344/12200509765705829 (pow.f64 x 4)))))
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 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (.f64 x 841/108) 1) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (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 (fma.f64 x 841/108 4/29) 1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 -1 (neg.f64 (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 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(fma.f64 x 841/108 4/29)
(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 (neg.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(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 (/.f64 1 (fma.f64 x 841/108 4/29))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 (neg.f64 (fma.f64 x 841/108 4/29)) -1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(/.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (fma.f64 x 841/108 4/29) -1/2))
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.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 (pow.f64 (.f64 841/108 x) 3) 64/24389) (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 707281/11664 x) (+.f64 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 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))
(/.f64 (fma.f64 x (*.f64 707281/11664 x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (/.f64 1 (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)
(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)
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 841/108 4/29))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(*.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) (pow.f64 (fma.f64 x 841/108 4/29) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) -1) (pow.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (fma.f64 x 841/108 4/29) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 4/29))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(+.f64 (/.f64 1 (fma.f64 841/108 x 4/29)) 0)
(/.f64 1 (fma.f64 841/108 x 4/29))
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (.f64 x 841/108) 1) 4/29)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (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 (fma.f64 x 841/108 4/29) 1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 -1 (neg.f64 (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 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1) (pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) -1/2) -1))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 1 (fma.f64 x 841/108 4/29)))
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(/.f64 1 (/.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) 1))
(fma.f64 x 841/108 4/29)
(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 (neg.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(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 (/.f64 1 (fma.f64 x 841/108 4/29))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29))))
(/.f64 (neg.f64 (fma.f64 x 841/108 4/29)) -1)
(fma.f64 x 841/108 4/29)
(fma.f64 841/108 x 4/29)
(/.f64 (sqrt.f64 (fma.f64 x 841/108 4/29)) (pow.f64 (fma.f64 x 841/108 4/29) -1/2))
(/.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (fma.f64 841/108 x 4/29) -1/2))
(/.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 (pow.f64 (.f64 841/108 x) 3) 64/24389) (-.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) 16/841) (.f64 x 29/27)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 707281/11664 x) (+.f64 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 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))
(/.f64 (fma.f64 x (*.f64 707281/11664 x) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 x 841/108 4/29)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2))) (/.f64 1 (cbrt.f64 (/.f64 1 (fma.f64 841/108 x 4/29)))))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2)) (cbrt.f64 (/.f64 1 (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 (/.f64 1 (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 (pow.f64 (fma.f64 x 841/108 4/29) -2) -1/2)
(pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) -2) -1/2)
(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)
(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)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	0.3b	(/.f64 108/841 x)
✓	17.1b	(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 108/841 x))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite63.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`log-prod_binary64`
356×	`exp-prod_binary64`
300×	`pow-prod-down_binary64`
268×	`pow2_binary64`
219×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	226	26
2	2824	23

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) (*.f64 -16/841 (/.f64 108/841 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) (*.f64 (/.f64 108/841 x) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -16/841 (/.f64 108/841 x)) (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 108/841 x) -16/841) (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))))))) (#(struct:change #<rule egg-rr> 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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 exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 707281/11664) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 707281/11664 -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 707281/11664 (*.f64 x x) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 707281/11664) 1 -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) 707281/11664) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 707281/11664)) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 707281/11664)) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 841/108) (*.f64 x 841/108) -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 707281/11664) x -16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 707281/11664 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) -16/841)))))

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Rules

612×	`unswap-sqr_binary64`
489×	`associate-*l/_binary64`
326×	`associate-/l/_binary64`
239×	`associate-/r/_binary64`
187×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	2220
1	795	2122
2	3086	2020

Stop Event

1×	node limit

Counts

170 → 185

Calls

Call 1

Inputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 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)
(+.f64 (.f64 x 841/108) (.f64 -16/841 (/.f64 108/841 x)))
(+.f64 (.f64 x 841/108) (.f64 (/.f64 108/841 x) -16/841))
(+.f64 0 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))
(+.f64 (.f64 -16/841 (/.f64 108/841 x)) (.f64 x 841/108))
(+.f64 (.f64 (/.f64 108/841 x) -16/841) (.f64 x 841/108))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))) 1)
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (.f64 x 841/108))
(/.f64 1 (/.f64 x (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (.f64 x 841/108) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (.f64 x 841/108) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841) x)
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841)) (neg.f64 x))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) 108/841) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) x))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) 108/841) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) x))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (*.f64 x 841/108)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) 1) (.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 841/108)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) -108/841) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) -108/841) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (neg.f64 x)))
(/.f64 (.f64 108/841 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) (.f64 x (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (.f64 -108/841 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) (.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (.f64 108/841 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (.f64 x (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (.f64 -108/841 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (.f64 (neg.f64 x) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841) 1) x)
(/.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (/.f64 108/841 x)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) -841/729)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (/.f64 108/841 x)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(/.f64 (.f64 -108/841 (fma.f64 x (.f64 x 707281/11664) -16/841)) (neg.f64 x))
(/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) -108/841) (neg.f64 x))
(/.f64 (.f64 (/.f64 108/841 x) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) -841/729)))
(/.f64 (.f64 (/.f64 108/841 x) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(pow.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)) 1)
(pow.f64 (pow.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))
(pow.f64 (/.f64 x (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))))) (sqrt.f64 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108)))))
(sqrt.f64 (pow.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)) 2))
(log.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))))
(cbrt.f64 (pow.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))
(log1p.f64 (expm1.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))
(exp.f64 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))))
(exp.f64 (.f64 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))) 1) 1))
(fma.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 108/841 x) (*.f64 -16/841 (/.f64 108/841 x)))
(fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108))
(fma.f64 (/.f64 108/841 x) (.f64 (.f64 x x) 707281/11664) (*.f64 (/.f64 108/841 x) -16/841))
(fma.f64 (/.f64 108/841 x) -16/841 (*.f64 x 841/108))
(+.f64 0 (/.f64 108/841 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 108/841 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 108/841 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 108/841 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 108/841 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 108/841 x))) 1)
(*.f64 108/841 (/.f64 1 x))
(*.f64 (/.f64 108/841 x) 1)
(*.f64 1 (/.f64 108/841 x))
(.f64 (cbrt.f64 (/.f64 108/841 x)) (cbrt.f64 (.f64 11664/707281 (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 11664/707281 (pow.f64 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 (.f64 x x) 707281/11664) -1/2)
(pow.f64 (/.f64 108/841 x) 1)
(pow.f64 (*.f64 11664/707281 (pow.f64 x -2)) 1/2)
(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)
(pow.f64 (*.f64 x 841/108) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 108/841 x)))
(pow.f64 (/.f64 (*.f64 x 841/108) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 108/841 x))) 2)) (cbrt.f64 (log.f64 (/.f64 108/841 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 108/841 x)))) (sqrt.f64 (log.f64 (/.f64 108/841 x))))
(sqrt.f64 (*.f64 11664/707281 (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 108/841 x)))
(log.f64 (+.f64 1 (expm1.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)))
(exp.f64 (*.f64 (log.f64 (/.f64 108/841 x)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 108/841 x))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 108/841 x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 108/841 x))) 2))
(exp.f64 (.f64 (log.f64 (.f64 x 841/108)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 108/841 x)) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 256/707281 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(.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)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2)))
(.f64 (cbrt.f64 (pow.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 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) -841/729))))
(.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) 16/841)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)))
(/.f64 1 (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (*.f64 x x) -841/729))))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (neg.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (-.f64 -16/841 (.f64 (*.f64 x x) 707281/11664)))
(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) 2) 1/2)
(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)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) -1)
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))) (sqrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(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)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 1) 1))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 (*.f64 x x) 707281/11664 -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (.f64 (.f64 x x) 707281/11664) 1 -16/841)
(fma.f64 1 (.f64 (.f64 x x) 707281/11664) -16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) -16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) -16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 707281/11664)) -16/841)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664) -16/841)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 707281/11664)) -16/841)
(fma.f64 (.f64 x 841/108) (.f64 x 841/108) -16/841)
(fma.f64 (*.f64 x 707281/11664) x -16/841)
(fma.f64 (.f64 707281/11664 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) -16/841)

Outputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
-16/841
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(.f64 707281/11664 (.f64 x x))
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 x (.f64 x 707281/11664))
(.f64 707281/11664 (.f64 x x))
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(+.f64 (.f64 x 841/108) (.f64 -16/841 (/.f64 108/841 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(+.f64 (.f64 x 841/108) (.f64 (/.f64 108/841 x) -16/841))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(+.f64 0 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(+.f64 (.f64 -16/841 (/.f64 108/841 x)) (.f64 x 841/108))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(+.f64 (.f64 (/.f64 108/841 x) -16/841) (.f64 x 841/108))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 (/.f64 -1728/707281 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 (/.f64 -1728/707281 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 (/.f64 -1728/707281 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -16/841 (/.f64 108/841 x) (.f64 x 841/108))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 841/108 (/.f64 -1728/707281 x))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -16/841 (/.f64 108/841 x) (*.f64 x 841/108)))) 1)
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (.f64 x 841/108))
(/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (.f64 x 841/108))
(/.f64 (+.f64 (.f64 (.f64 x 841/108) x) -1728/707281) x)
(/.f64 1 (/.f64 x (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841)))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (.f64 x 841/108))
(/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (.f64 x 841/108))
(/.f64 (+.f64 (.f64 (.f64 x 841/108) x) -1728/707281) x)
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (.f64 x 841/108) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 x (.f64 841/108 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (*.f64 x x) 841/729)))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (*.f64 x 841/729))))))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (.f64 x 841/108) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 x 841/108)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(.f64 (/.f64 (/.f64 108/841 x) (fma.f64 707281/11664 (.f64 x x) 16/841)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))
(/.f64 108/841 (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (/.f64 x (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))))
(/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841) x)
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (.f64 x 841/108))
(/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (.f64 x 841/108))
(/.f64 (+.f64 (.f64 (.f64 x 841/108) x) -1728/707281) x)
(/.f64 (neg.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 108/841)) (neg.f64 x))
(/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (.f64 x 841/108))
(/.f64 (fma.f64 707281/11664 (.f64 x x) -16/841) (.f64 x 841/108))
(/.f64 (+.f64 (.f64 (.f64 x 841/108) x) -1728/707281) x)
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) 108/841) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) x))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 x (.f64 841/108 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (*.f64 x x) 841/729)))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (*.f64 x 841/729))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) 108/841) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) x))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 x 841/108)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(.f64 (/.f64 (/.f64 108/841 x) (fma.f64 707281/11664 (.f64 x x) 16/841)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))
(/.f64 108/841 (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (/.f64 x (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (*.f64 x 841/108)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 x (.f64 841/108 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (*.f64 x x) 841/729)))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (*.f64 x 841/729))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) 1) (.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (.f64 x 841/108)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 x 841/108)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(.f64 (/.f64 (/.f64 108/841 x) (fma.f64 707281/11664 (.f64 x x) 16/841)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))
(/.f64 108/841 (.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) (/.f64 x (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) -108/841) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 x (.f64 841/108 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (*.f64 x x) 841/729)))))
(.f64 (/.f64 108/841 x) (/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (*.f64 x 841/729))))))
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(.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2)))
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(.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2)))
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(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (.f64 x 841/729)))))
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(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (.f64 x 841/729)))))
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(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) 500246412961/136048896)) (/.f64 -256/707281 (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 707281/11664 (*.f64 x x) 16/841))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
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(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (.f64 x 841/729)))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (-.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (.f64 (*.f64 x x) -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (.f64 x 841/729)))))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 256/707281 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) 500246412961/136048896)) (/.f64 -256/707281 (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 707281/11664 (*.f64 x x) 16/841))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (.f64 x 841/729)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (neg.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 256/707281 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) 500246412961/136048896)) (/.f64 -256/707281 (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 707281/11664 (*.f64 x x) 16/841))
(/.f64 (-.f64 256/707281 (.f64 (pow.f64 x 4) 500246412961/136048896)) (-.f64 -16/841 (.f64 (*.f64 x x) 707281/11664)))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 256/707281 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) 500246412961/136048896)) (/.f64 -256/707281 (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 707281/11664 (*.f64 x x) 16/841))
(pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2) 1/2)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) 1/3)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 3)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) -1)
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 (.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (+.f64 256/707281 (fma.f64 (pow.f64 x 4) 500246412961/136048896 (.f64 x (.f64 x 841/729)))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) -1)
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 500246412961/136048896) (fma.f64 x (.f64 x 707281/11664) 16/841)) (/.f64 256/707281 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 707281/11664 (.f64 x x) 16/841) 500246412961/136048896)) (/.f64 -256/707281 (fma.f64 707281/11664 (.f64 x x) 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 707281/11664 (*.f64 x x) 16/841))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))) 2)) (cbrt.f64 (log.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)))) (sqrt.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 707281/11664 (.f64 x x) -16/841)))) (sqrt.f64 (log.f64 (fma.f64 707281/11664 (.f64 x x) -16/841))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 2))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 1))
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(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 1/3))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 3))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 2))
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(fma.f64 707281/11664 (*.f64 x x) -16/841)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 1) 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)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (*.f64 x x) 707281/11664 -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 (.f64 (.f64 x x) 707281/11664) 1 -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 1 (.f64 (.f64 x x) 707281/11664) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) -16/841)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) -16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) (cbrt.f64 (.f64 (pow.f64 x 4) 500246412961/136048896)) -16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 707281/11664)) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 707281/11664)) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (.f64 x 841/108) (.f64 x 841/108) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (*.f64 x 707281/11664) x -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)
(fma.f64 (.f64 707281/11664 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 707281/11664 (*.f64 x x) -16/841)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
✓	0.1b	(*.f64 x -841/108)
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	17.1b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite96.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
341×	`prod-diff_binary64`
285×	`pow-prod-down_binary64`
268×	`pow2_binary64`
196×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	231	30
2	3279	22

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

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

Outputs

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16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 707281/11664 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 16/841)))))

simplify123.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-neg_binary64`
350×	`log-prod_binary64`
314×	`fma-def_binary64`
274×	`times-frac_binary64`
226×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	7111
1	1605	4784
2	6632	4778

Stop Event

1×	node limit

Counts

275 → 318

Calls

Call 1

Inputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 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 -841/108 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)
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 x) -841/108 (.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (.f64 x -841/108) 1 (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x -841/108))) (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 841/108 x (.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (.f64 x x) -841/108)) (/.f64 707281/11664 x) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 707281/11664 x)) (/.f64 (.f64 x x) -841/108) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (.f64 x -841/108) -841/108)) (/.f64 (.f64 x -841/108) x) (.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (.f64 x -841/108) x)) (/.f64 (.f64 x -841/108) -841/108) (.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 707281/11664 (sqrt.f64 (.f64 x -841/108)))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -841/108))) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -841/108)))) (/.f64 707281/11664 (sqrt.f64 (.f64 x -841/108))) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (.f64 x -841/108)) (.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 -1 (.f64 x -841/108) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664))) (cbrt.f64 (.f64 x -841/108)) (*.f64 x -841/108)))
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(pow.f64 (pow.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))) 2)
(pow.f64 (/.f64 1 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))) -1)
(pow.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 3) (pow.f64 (.f64 x -841/108) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 1 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))) 1) -1)
(neg.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -1728/707281 x)) (pow.f64 (exp.f64 -841/108) x)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) 3) (pow.f64 (.f64 x -841/108) 3)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))))
(exp.f64 (log.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108))) 1))
(fma.f64 16/841 (/.f64 -108/841 x) (*.f64 x -841/108))
(fma.f64 1 (/.f64 -1728/707281 x) (*.f64 x -841/108))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 2) (cbrt.f64 (/.f64 -1728/707281 x)) (*.f64 x -841/108))
(fma.f64 (sqrt.f64 (/.f64 -1728/707281 x)) (sqrt.f64 (/.f64 -1728/707281 x)) (*.f64 x -841/108))
(+.f64 0 (*.f64 x -841/108))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -841/108) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -841/108) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -841/108) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -841/108) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -841/108))) 1)
(-.f64 0 (*.f64 x -841/108))
(/.f64 x (/.f64 (.f64 x -841/108) (.f64 x 707281/11664)))
(/.f64 (.f64 x x) (/.f64 (.f64 x -841/108) 707281/11664))
(/.f64 707281/11664 (/.f64 (.f64 x -841/108) (.f64 x x)))
(/.f64 (.f64 (.f64 x x) 707281/11664) (*.f64 x -841/108))
(/.f64 (*.f64 x -841/108) 1)
(/.f64 1 (/.f64 -108/841 x))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 4) (cbrt.f64 (.f64 x -841/108)))
(/.f64 (pow.f64 (.f64 x -841/108) 3/2) (sqrt.f64 (.f64 x -841/108)))
(/.f64 (/.f64 (.f64 (.f64 x x) 707281/11664) -841/108) x)
(/.f64 (/.f64 (.f64 (.f64 x x) 707281/11664) x) -841/108)
(/.f64 (/.f64 (.f64 (.f64 x x) 707281/11664) 1) (*.f64 x -841/108))
(pow.f64 (.f64 (.f64 x x) 707281/11664) 1/2)
(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 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) 3/2)
(pow.f64 (sqrt.f64 (*.f64 x -841/108)) 2)
(pow.f64 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)) 1/6)
(pow.f64 (/.f64 -108/841 x) -1)
(pow.f64 (/.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)) (pow.f64 (.f64 x -841/108) 3)) 1/3)
(neg.f64 (*.f64 x -841/108))
(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
(fabs.f64 (*.f64 x -841/108))
(log.f64 (pow.f64 (exp.f64 -841/108) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -841/108))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 x -841/108)))))
(cbrt.f64 (pow.f64 (*.f64 x -841/108) 3))
(cbrt.f64 (/.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)) (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)))
(exp.f64 (.f64 (log.f64 (.f64 x -841/108)) 1))
(+.f64 16/841 (.f64 (.f64 x x) 707281/11664))
(+.f64 (.f64 (.f64 x x) 707281/11664) 16/841)
(+.f64 0 (fma.f64 x (*.f64 x 707281/11664) 16/841))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 707281/11664) 16/841))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)))))
(.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 4096/594823321 (.f64 353814783205469041/1586874322944 (pow.f64 x 6))) (/.f64 1 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (.f64 841/729 (.f64 x x))))))
(.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 1 (/.f64 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (.f64 841/729 (.f64 x x)))) (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))))
(/.f64 (-.f64 4096/594823321 (.f64 353814783205469041/1586874322944 (pow.f64 x 6))) (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (.f64 841/729 (*.f64 x x)))))
(/.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (fma.f64 x (.f64 x 707281/11664) 16/841))
(/.f64 (neg.f64 (-.f64 4096/594823321 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)))) (neg.f64 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (.f64 841/729 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (+.f64 -16/841 (.f64 (*.f64 x x) 707281/11664)))
(/.f64 (+.f64 4096/594823321 (.f64 353814783205469041/1586874322944 (pow.f64 x 6))) (+.f64 256/707281 (-.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (.f64 841/729 (.f64 x x)))))
(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) 2) 1/2)
(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)
(pow.f64 (/.f64 (+.f64 256/707281 (fma.f64 500246412961/136048896 (pow.f64 x 4) (.f64 841/729 (.f64 x x)))) (-.f64 4096/594823321 (*.f64 353814783205469041/1586874322944 (pow.f64 x 6)))) -1)
(pow.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) 16/841) (+.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) -1)
(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)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 707281/11664) 16/841)) 1))
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 x (.f64 -841/108 (.f64 x -841/108)) 16/841)
(fma.f64 x (neg.f64 (*.f64 x 707281/11664)) 16/841)
(fma.f64 (*.f64 x x) 707281/11664 16/841)
(fma.f64 (*.f64 x x) -707281/11664 16/841)
(fma.f64 707281/11664 (*.f64 x x) 16/841)
(fma.f64 707281/11664 (*.f64 x (neg.f64 x)) 16/841)
(fma.f64 (.f64 (.f64 x x) 707281/11664) 1 16/841)
(fma.f64 -841/108 (.f64 x (.f64 x -841/108)) 16/841)
(fma.f64 (.f64 x -841/108) (.f64 x -841/108) 16/841)
(fma.f64 1 (.f64 (.f64 x x) 707281/11664) 16/841)
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 4) (cbrt.f64 (.f64 (*.f64 x x) 707281/11664)) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 4) (neg.f64 (cbrt.f64 (.f64 (*.f64 x x) 707281/11664))) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 x 707281/11664)) 16/841)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664) 16/841)
(fma.f64 (sqrt.f64 (.f64 x -841/108)) (pow.f64 (.f64 x -841/108) 3/2) 16/841)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 707281/11664)) 16/841)
(fma.f64 (*.f64 x (neg.f64 x)) 707281/11664 16/841)
(fma.f64 (*.f64 x 707281/11664) x 16/841)
(fma.f64 (pow.f64 (.f64 x -841/108) 3/2) (sqrt.f64 (.f64 x -841/108)) 16/841)
(fma.f64 -1 (.f64 (.f64 x x) 707281/11664) 16/841)
(fma.f64 (neg.f64 x) (*.f64 x 707281/11664) 16/841)
(fma.f64 (.f64 (.f64 x -841/108) -841/108) x 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 16/841)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 4)) (cbrt.f64 (.f64 (*.f64 x x) 707281/11664)) 16/841)
(fma.f64 (.f64 (.f64 x -841/108) x) -841/108 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 5) (cbrt.f64 (.f64 x -841/108)) 16/841)
(fma.f64 (.f64 707281/11664 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 16/841)

Outputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 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 -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 -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)
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)
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 x) -841/108 (.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (.f64 x -841/108) (fma.f64 841/108 x (.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (.f64 x -841/108) 1 (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (+.f64 (.f64 x -841/108) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x -841/54)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x -841/108))) (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x -841/108))) (cbrt.f64 (.f64 x (.f64 x 707281/11664))) (*.f64 x -841/108)))
(+.f64 (fma.f64 x -841/108 (/.f64 -1728/707281 x)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x -841/108))) (cbrt.f64 (.f64 x (.f64 x 707281/11664))) (.f64 x -841/108)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 841/108 x (.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (.f64 x -841/108) (fma.f64 841/108 x (.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (.f64 x x) -841/108)) (/.f64 707281/11664 x) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (.f64 x -841/108) (fma.f64 841/108 x (.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 707281/11664 x)) (/.f64 (.f64 x x) -841/108) (*.f64 x -841/108)))
(+.f64 (/.f64 -1728/707281 x) (+.f64 (.f64 x -841/108) (fma.f64 841/108 x (.f64 x -841/108))))
(+.f64 (/.f64 -1728/707281 x) (fma.f64 x -841/108 (*.f64 x 0)))
(+.f64 (+.f64 (/.f64 -1728/707281 x) (.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (.f64 x -841/108) -841/108)) (/.f64 (.f64 x -841/108) x) (.f64 x -841/108)))
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(fma.f64 (*.f64 x 707281/11664) x 16/841)
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 (pow.f64 (.f64 x -841/108) 3/2) (sqrt.f64 (.f64 x -841/108)) 16/841)
(fma.f64 (sqrt.f64 (.f64 x -841/108)) (pow.f64 (.f64 x -841/108) 3/2) 16/841)
(fma.f64 -1 (.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)
(fma.f64 (neg.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)
(fma.f64 (.f64 (.f64 x -841/108) -841/108) x 16/841)
(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)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 4)) (cbrt.f64 (.f64 (*.f64 x x) 707281/11664)) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 4) (neg.f64 (cbrt.f64 (.f64 x (*.f64 x 707281/11664)))) 16/841)
(fma.f64 (.f64 (.f64 x -841/108) x) -841/108 16/841)
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 5) (cbrt.f64 (.f64 x -841/108)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) 16/841)
(fma.f64 (.f64 707281/11664 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 707281/11664 (.f64 x (cbrt.f64 x))) 16/841)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 x 707281/11664) (cbrt.f64 x)) 16/841)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (*.f64 841/108 x) 4/29))
	0.1b	(*.f64 841/108 x)
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	16.8b	(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))

Compiler

Compiled 52 to 36 computations (30.8% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
0.0ms	x	@	0	(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 (*.f64 841/108 x) 4/29))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (*.f64 841/108 x) 4/29))

rewrite60.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`log-prod_binary64`
345×	`pow2_binary64`
309×	`prod-diff_binary64`
291×	`fma-def_binary64`
246×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	310	13
2	3845	13

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 1 (fma.f64 x 841/108 -4/29))) (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))) (*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 x (*.f64 x 707281/11664))) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 841/108) -4/29)))) (#(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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))) (#(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 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2) (/.f64 (fma.f64 x 841/108 -4/29) (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)) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (*.f64 (fma.f64 x 841/108 -4/29) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (*.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 (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 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) 1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729)) (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) 1) (*.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 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) -1) (*.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729)) (neg.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) -1) (*.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 -1 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321)) (*.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (*.f64 (neg.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 (fma.f64 x (*.f64 x 707281/11664) -16/841) (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1) (fma.f64 x 841/108 -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (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 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (*.f64 x 707281/11664) (-.f64 16/841 (*.f64 x 29/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (/.f64 1 (fma.f64 x 841/108 -4/29))) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (/.f64 1 (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 -1 (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 (fma.f64 x (*.f64 x 707281/11664) -16/841) -1) (neg.f64 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (fma.f64 x (*.f64 x 707281/11664) 16/841))))) (#(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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 x 841/108 -4/29) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3) (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -1)))) (#(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 cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 x 841/108 -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 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3) (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 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 exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 (*.f64 x (*.f64 x 707281/11664)) (/.f64 1 (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 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 841/108) 1 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 x (*.f64 x 707281/11664)) (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841 (*.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (*.f64 x (*.f64 x 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x 841/108)) (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 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 x) (sqrt.f64 (*.f64 x 707281/11664)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.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)))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 x 841/108 -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) (pow.f64 (fma.f64 x 841/108 -4/29) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 x 841/108 4/29))))) (#(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 (/.f64 1 (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) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 x 841/108 -4/29))) -1)))) (#(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 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))) 1))))))

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-def_binary64`
534×	`distribute-rgt-in_binary64`
523×	`distribute-lft-in_binary64`
466×	`associate-/r*_binary64`
403×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	285	1655
1	637	1591
2	2123	1516

Stop Event

1×	node limit

Counts

124 → 152

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)) 29/4)
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(/.f64 108/841 x)
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x)))
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.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 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(/.f64 108/841 x)
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x)))
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.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 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 x 841/108) 4/29)
(+.f64 4/29 (*.f64 x 841/108))
(+.f64 0 (fma.f64 x 841/108 4/29))
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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 x 841/108) -4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))
(/.f64 1 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (/.f64 (fma.f64 x 841/108 -4/29) (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 (fma.f64 x 841/108 -4/29) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 x 841/108 -4/29) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) -841/729))))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (.f64 x 707281/11664) 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 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) 1) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) -1) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (neg.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) -1) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (neg.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (.f64 -1 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321)) (.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (.f64 -1 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1) (fma.f64 x 841/108 -4/29))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 x (.f64 x 707281/11664) (-.f64 16/841 (.f64 x 29/27))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (/.f64 1 (fma.f64 x 841/108 -4/29))) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) -841/729)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (/.f64 1 (fma.f64 x 841/108 -4/29))) (fma.f64 x (.f64 x 707281/11664) 16/841))
(/.f64 (.f64 -1 (fma.f64 x (.f64 x 707281/11664) -16/841)) (neg.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) -1) (neg.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) -841/729)))
(/.f64 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (fma.f64 x (.f64 x 707281/11664) 16/841))
(pow.f64 (fma.f64 x 841/108 4/29) 1)
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(pow.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3) 1/3)
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(cbrt.f64 (pow.f64 (fma.f64 x 841/108 4/29) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 3) (pow.f64 (fma.f64 x 841/108 -4/29) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 3) (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3) (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 3)))
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(fma.f64 x 841/108 4/29)
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(fma.f64 (cbrt.f64 (.f64 x 841/108)) (pow.f64 (cbrt.f64 (.f64 x 841/108)) 2) 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 x) (sqrt.f64 (*.f64 x 707281/11664)) 4/29)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)
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(pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 1)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 841/108 -4/29))) 3)
(pow.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x 841/108 -4/29))) -1)
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))) 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)
-29/4
(-.f64 (*.f64 -707281/1728 x) 29/4)
(fma.f64 -707281/1728 x -29/4)
(fma.f64 x -707281/1728 -29/4)
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)) 29/4)
(+.f64 (.f64 -17249876309/746496 (.f64 x x)) (fma.f64 -707281/1728 x -29/4))
(fma.f64 -17249876309/746496 (*.f64 x x) (fma.f64 x -707281/1728 -29/4))
(fma.f64 x -707281/1728 (fma.f64 x (*.f64 x -17249876309/746496) -29/4))
(-.f64 (+.f64 (.f64 -17249876309/746496 (pow.f64 x 2)) (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (*.f64 -707281/1728 x))) 29/4)
(+.f64 (fma.f64 -17249876309/746496 (.f64 x x) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x -707281/1728))) -29/4)
(fma.f64 -17249876309/746496 (.f64 x x) (+.f64 (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (.f64 x -707281/1728)) -29/4))
(fma.f64 x (*.f64 x -17249876309/746496) (fma.f64 -420707233300201/322486272 (pow.f64 x 3) (fma.f64 x -707281/1728 -29/4)))
(/.f64 108/841 x)
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x))
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 20155392/500246412961 (pow.f64 x 3))))
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(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(/.f64 108/841 x)
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (.f64 108/841 (/.f64 1 x)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 108/841 x))
(+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (*.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (/.f64 108/841 x) (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (/.f64 20155392/500246412961 (pow.f64 x 3))))
(+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3)))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4)))
(+.f64 (/.f64 46656/20511149 (*.f64 x x)) (+.f64 (+.f64 (/.f64 108/841 x) (/.f64 20155392/500246412961 (pow.f64 x 3))) (/.f64 8707129344/12200509765705829 (pow.f64 x 4))))
(+.f64 (*.f64 x 841/108) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 x 841/108))
(fma.f64 841/108 x 4/29)
(+.f64 0 (fma.f64 x 841/108 4/29))
(fma.f64 841/108 x 4/29)
(+.f64 (.f64 (.f64 x (.f64 x 707281/11664)) (/.f64 1 (fma.f64 x 841/108 -4/29))) (.f64 -16/841 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
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(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 x (.f64 x 707281/11664))) (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(+.f64 (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) -16/841) (.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (.f64 x (.f64 x 707281/11664))))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 4/29))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 841/108 4/29)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 841/108 x 4/29))) 2)) (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 (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 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))
(-.f64 (*.f64 x 841/108) -4/29)
(fma.f64 841/108 x 4/29)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 841/108 4/29))) 1)
(fma.f64 841/108 x 4/29)
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 1 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.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 (fma.f64 x 841/108 -4/29) (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.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 (fma.f64 x 841/108 -4/29) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 x 841/108 -4/29) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) -841/729))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (fma.f64 x 841/108 -4/29)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x 841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (.f64 x x) 707281/11664 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) 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 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) 1) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (fma.f64 x 841/108 -4/29)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) 1) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (fma.f64 x 841/108 -4/29)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x 841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (.f64 x x) 707281/11664 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) -1) (.f64 (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)) (neg.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (fma.f64 x 841/108 -4/29)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (+.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (*.f64 x x) 841/729))))
(/.f64 (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 841/729) (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) -1) (.f64 (fma.f64 x (*.f64 x 707281/11664) 16/841) (neg.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x 841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (.f64 x x) 707281/11664 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(/.f64 (.f64 -1 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321)) (.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 2) 353814783205469041/1586874322944 -4096/594823321) (fma.f64 x 841/108 -4/29)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 x (.f64 x -841/729))))
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(/.f64 (.f64 -1 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (.f64 (neg.f64 (fma.f64 x 841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (fma.f64 x 841/108 -4/29)) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 (.f64 x x) 707281/11664 16/841)))
(/.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281) (.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) 16/841)))
(/.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
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(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -2))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)))))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) 3))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 841/108 -4/29)) -1))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x 841/108 -4/29))) 1))
(/.f64 1 (fma.f64 x 841/108 -4/29))
(/.f64 1 (fma.f64 841/108 x -4/29))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)
✓	0.5b	(cbrt.f64 (*.f64 841/108 x))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 841/108 x))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
0.0ms	x	@	-inf	(cbrt.f64 (*.f64 841/108 x))

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
517×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	10
2	1398	10

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(cbrt.f64 (*.f64 841/108 x))

Outputs

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

531×	`unswap-sqr_binary64`
525×	`fma-def_binary64`
478×	`distribute-rgt-in_binary64`
464×	`log-prod_binary64`
445×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	548
1	214	416
2	637	284
3	2769	278

Stop Event

1×	node limit

Counts

49 → 58

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(*.f64 841/108 x)
(*.f64 x 841/108)
(.f64 (.f64 841/108 x) 1)
(.f64 (cbrt.f64 (.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(.f64 1 (.f64 841/108 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(.f64 (cbrt.f64 841/108) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/6) (.f64 (pow.f64 (.f64 841/108 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2) 3) (cbrt.f64 (*.f64 841/108 x)))
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
(.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3))
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1) (cbrt.f64 (.f64 841/108 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 841/108)) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (pow.f64 (.f64 841/108 x) 1/6)) (pow.f64 (*.f64 841/108 x) 1/6))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(log.f64 (pow.f64 (exp.f64 841/108) x))
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(exp.f64 (log.f64 (*.f64 841/108 x)))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 841/108 x))) 1)
(.f64 (cbrt.f64 (.f64 841/108 x)) 1)
(.f64 1 (cbrt.f64 (.f64 841/108 x)))
(*.f64 (cbrt.f64 x) (cbrt.f64 841/108))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(*.f64 (cbrt.f64 841/108) (cbrt.f64 x))
(.f64 (pow.f64 (.f64 841/108 x) 1/6) (pow.f64 (*.f64 841/108 x) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 841/108 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 841/108 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/3))
(pow.f64 (*.f64 841/108 x) 1/3)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 3)
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 841/108 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 841/108 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 841/108 x))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))))

Outputs
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 841/108 x)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 x 841/108)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 841/108 x) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 841/108 x)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 1 (.f64 841/108 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (cbrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (cbrt.f64 841/108) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 841/108)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 841/108)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (.f64 841/108 x) 1/6) (.f64 (pow.f64 (.f64 841/108 x) 1/6) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (sqrt.f64 (.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2) 3) (cbrt.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(*.f64 (pow.f64 (cbrt.f64 841/108) 3) x)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (pow.f64 (pow.f64 (.f64 841/108 x) 1/6) 3) (pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 3))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1) (cbrt.f64 (.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) (cbrt.f64 841/108)) (cbrt.f64 x))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 841/108)) (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (*.f64 (cbrt.f64 x) (cbrt.f64 841/108)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) (pow.f64 (.f64 841/108 x) 1/6)) (pow.f64 (*.f64 841/108 x) 1/6))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 841/108) x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (*.f64 841/108 x) 3))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(+.f64 (*.f64 841/108 x) 0)
(*.f64 841/108 x)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 841/108 x))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (cbrt.f64 (.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 1 (cbrt.f64 (.f64 841/108 x)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 841/108))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2) 1/3))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 841/108 x))) 2) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(*.f64 (cbrt.f64 841/108) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 841/108))
(.f64 (pow.f64 (.f64 841/108 x) 1/6) (pow.f64 (*.f64 841/108 x) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 841/108 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 841/108 x)))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(.f64 (pow.f64 (sqrt.f64 (.f64 841/108 x)) 1/3) (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 841/108 x))) (cbrt.f64 (sqrt.f64 (*.f64 841/108 x))))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 1/6) 4)
(pow.f64 (*.f64 841/108 x) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 841/108 x))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(pow.f64 (pow.f64 (*.f64 841/108 x) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 2))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))))
(+.f64 1 (-.f64 (cbrt.f64 (*.f64 841/108 x)) 1))
(+.f64 (cbrt.f64 (*.f64 841/108 x)) 0)
(cbrt.f64 (*.f64 841/108 x))

eval454.0ms (9.7%)

Compiler: Compiled 16185 to 12203 computations (24.6% saved)

prune217.0ms (4.6%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	895	3	898
Fresh	1	1	2
Picked	1	0	1
Done	3	5	8
Total	900	9	909

Error

Counts

909 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.0b	(pow.f64 (/.f64 108/841 x) -1)
✓	18.1b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	24.1b	(/.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))))
▶	48.9b	(/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x -841/108))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	18.1b	(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
▶	49.0b	(.f64 (.f64 707281/11664 (*.f64 x x)) (/.f64 108/841 x))
✓	30.8b	(*.f64 841/108 x)
	33.1b	4/29

Compiler

Compiled 88 to 69 computations (21.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 707281/11664 (.f64 x x))
	0.3b	(/.f64 108/841 x)
✓	28.0b	(.f64 (.f64 707281/11664 (*.f64 x x)) (/.f64 108/841 x))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`pow1_binary64`
749×	`add-log-exp_binary64`
749×	`log1p-expm1-u_binary64`
749×	`expm1-log1p-u_binary64`
734×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	175	17
2	2123	17

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(.f64 (.f64 707281/11664 (*.f64 x x)) (/.f64 108/841 x))
(.f64 707281/11664 (.f64 x x))

Outputs

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

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

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Rules

628×	`times-frac_binary64`
616×	`fma-neg_binary64`
485×	`associate-/l*_binary64`
417×	`associate-*l/_binary64`
411×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	299
1	227	299
2	1037	299
3	7805	299

Stop Event

1×	node limit

Counts

57 → 37

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))
(-.f64 (+.f64 1 (/.f64 (.f64 (.f64 x x) 841/108) x)) 1)
(/.f64 (.f64 707281/11664 (.f64 x x)) (*.f64 x 841/108))
(/.f64 1 (/.f64 x (.f64 (.f64 x x) 841/108)))
(/.f64 (.f64 (.f64 x x) 841/108) x)
(/.f64 (neg.f64 (.f64 (.f64 x x) 841/108)) (neg.f64 x))
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) 1) x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (.f64 -108/841 (.f64 707281/11664 (*.f64 x x))) (neg.f64 x))
(/.f64 (.f64 (.f64 707281/11664 (*.f64 x x)) -108/841) (neg.f64 x))
(pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 1)
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)) 3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 108/841 x)) (.f64 x 841/108)) 2)
(sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 2))
(log.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (/.f64 108/841 x) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 108/841 x) 3) (pow.f64 (.f64 707281/11664 (*.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(-.f64 (+.f64 1 (.f64 707281/11664 (.f64 x x))) 1)
(pow.f64 (.f64 707281/11664 (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x x))) 3)
(pow.f64 (*.f64 x 841/108) 2)
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 707281/11664 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 707281/11664 (.f64 x 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 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 (+.f64 1 (/.f64 (.f64 (.f64 x x) 841/108) x)) 1)
(*.f64 841/108 x)
(/.f64 (.f64 707281/11664 (.f64 x x)) (*.f64 x 841/108))
(*.f64 841/108 x)
(/.f64 1 (/.f64 x (.f64 (.f64 x x) 841/108)))
(*.f64 841/108 x)
(/.f64 (.f64 (.f64 x x) 841/108) x)
(*.f64 841/108 x)
(/.f64 (neg.f64 (.f64 (.f64 x x) 841/108)) (neg.f64 x))
(*.f64 841/108 x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) 1) x)
(*.f64 841/108 x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 841/108 x)
(/.f64 (/.f64 (.f64 (.f64 x x) 841/108) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 841/108 x)
(/.f64 (.f64 -108/841 (.f64 707281/11664 (*.f64 x x))) (neg.f64 x))
(*.f64 841/108 x)
(/.f64 (.f64 (.f64 707281/11664 (*.f64 x x)) -108/841) (neg.f64 x))
(*.f64 841/108 x)
(pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 1)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3) 1/3)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)) 3)
(*.f64 841/108 x)
(pow.f64 (.f64 (sqrt.f64 (/.f64 108/841 x)) (.f64 x 841/108)) 2)
(*.f64 841/108 x)
(sqrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 2))
(*.f64 841/108 x)
(log.f64 (exp.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) 841/108) x) 3))
(*.f64 841/108 x)
(cbrt.f64 (.f64 (pow.f64 (.f64 707281/11664 (*.f64 x x)) 3) (pow.f64 (/.f64 108/841 x) 3)))
(*.f64 841/108 x)
(cbrt.f64 (.f64 (pow.f64 (/.f64 108/841 x) 3) (pow.f64 (.f64 707281/11664 (*.f64 x x)) 3)))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 x x) 841/108) x)))
(*.f64 841/108 x)
(-.f64 (+.f64 1 (.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 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3) 1/3)
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(pow.f64 (cbrt.f64 (.f64 707281/11664 (.f64 x x))) 3)
(.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))
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 707281/11664) (*.f64 x x)))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(cbrt.f64 (pow.f64 (.f64 707281/11664 (.f64 x x)) 3))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(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 (log.f64 (.f64 707281/11664 (.f64 x x))))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x -841/108)
✓	0.2b	(.f64 -707281/11664 (.f64 x x))
✓	28.1b	(/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x -841/108))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
910×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
88×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	176	17
2	2442	17

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

974×	`log-prod_binary64`
400×	`unswap-sqr_binary64`
390×	`*-commutative_binary64`
286×	`log-div_binary64`
238×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	183	809
1	522	806
2	2182	806
3	6412	806

Stop Event

1×	node limit

Counts

95 → 91

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))
(-.f64 (exp.f64 (log1p.f64 (.f64 841/108 (/.f64 (.f64 x x) x)))) 1)
(.f64 -707281/11664 (/.f64 (.f64 x x) (*.f64 x -841/108)))
(.f64 -707281/11664 (/.f64 1 (.f64 -841/108 (/.f64 x (*.f64 x x)))))
(.f64 -707281/11664 (.f64 (*.f64 x x) (/.f64 -108/841 x)))
(.f64 (.f64 x x) (*.f64 -707281/11664 (/.f64 -108/841 x)))
(.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))
(.f64 (.f64 841/108 (/.f64 (*.f64 x x) x)) 1)
(.f64 1 (.f64 841/108 (/.f64 (*.f64 x x) x)))
(.f64 (cbrt.f64 (.f64 841/108 (/.f64 (.f64 x x) x))) (pow.f64 (cbrt.f64 (.f64 841/108 (/.f64 (*.f64 x x) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 (/.f64 (.f64 x x) x))) 2) (cbrt.f64 (.f64 841/108 (/.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))
(.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (.f64 x 841/108))) (/.f64 (.f64 x -841/108) (sqrt.f64 (*.f64 x 841/108))))
(.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 (.f64 x (sqrt.f64 -707281/11664)) (/.f64 -108/841 x)))
(.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (.f64 x 841/108)))
(*.f64 (/.f64 -707281/11664 x) (/.f64 x (/.f64 -841/108 x)))
(*.f64 (/.f64 x (/.f64 -841/108 x)) (/.f64 -707281/11664 x))
(.f64 (/.f64 -108/841 x) (.f64 -707281/11664 (*.f64 x x)))
(.f64 (.f64 -707281/11664 (/.f64 (*.f64 x x) x)) -108/841)
(.f64 (.f64 -707281/11664 x) (*.f64 x (/.f64 -108/841 x)))
(.f64 841/108 (/.f64 (.f64 x x) x))
(.f64 (/.f64 1 x) (/.f64 (.f64 -707281/11664 (*.f64 x x)) -841/108))
(.f64 (/.f64 (.f64 x x) x) 841/108)
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) -841/108))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) x) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) -841/108))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) -841/108) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) x))
(.f64 (/.f64 (.f64 -707281/11664 x) x) (/.f64 x -841/108))
(.f64 -108/841 (.f64 -707281/11664 (/.f64 (*.f64 x x) x)))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) -841/108) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) x))
(.f64 (/.f64 (.f64 -707281/11664 x) -841/108) (/.f64 x x))
(.f64 (/.f64 (.f64 x x) 1) (/.f64 -707281/11664 (*.f64 x -841/108)))
(.f64 (/.f64 -707281/11664 (.f64 x -841/108)) (*.f64 x x))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) 1) (/.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x -841/108)))
(.f64 (/.f64 (.f64 -707281/11664 x) 1) (/.f64 x (*.f64 x -841/108)))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 -707281/11664 (cbrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (cbrt.f64 (*.f64 x -841/108))))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (.f64 841/108 (/.f64 (*.f64 x x) x))))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (.f64 x (sqrt.f64 -707281/11664)) (cbrt.f64 (*.f64 x -841/108))))
(.f64 (/.f64 (.f64 -707281/11664 x) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 x (cbrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -841/108))) (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x -841/108))) (/.f64 (.f64 -707281/11664 (.f64 x x)) (sqrt.f64 (*.f64 x -841/108))))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (sqrt.f64 (.f64 x -841/108))) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 (.f64 -707281/11664 x) (sqrt.f64 (.f64 x -841/108))) (/.f64 x (sqrt.f64 (.f64 x -841/108))))
(pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 1)
(pow.f64 (pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 841/108 (/.f64 (.f64 x x) x))) 3)
(pow.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (.f64 x 841/108))) 2)
(pow.f64 (.f64 (/.f64 x (.f64 x x)) 108/841) -1)
(neg.f64 (/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x 841/108)))
(sqrt.f64 (pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 2))
(log.f64 (exp.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 841/108 (/.f64 (.f64 x x) x)))))
(cbrt.f64 (pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -707281/11664 (.f64 x x)) 3) (pow.f64 (*.f64 x -841/108) 3)))
(expm1.f64 (log1p.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(log1p.f64 (expm1.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(exp.f64 (log.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x)))) 1)
(pow.f64 (.f64 -707281/11664 (.f64 x x)) 1)
(pow.f64 (pow.f64 (.f64 -707281/11664 (.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -707281/11664) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -707281/11664 (.f64 x x)))))
(cbrt.f64 (pow.f64 (.f64 -707281/11664 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 -707281/11664 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -707281/11664 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -707281/11664 (.f64 x 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 -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 (exp.f64 (log1p.f64 (.f64 841/108 (/.f64 (.f64 x x) x)))) 1)
(*.f64 841/108 x)
(.f64 -707281/11664 (/.f64 (.f64 x x) (*.f64 x -841/108)))
(*.f64 841/108 x)
(.f64 -707281/11664 (/.f64 1 (.f64 -841/108 (/.f64 x (*.f64 x x)))))
(*.f64 841/108 x)
(.f64 -707281/11664 (.f64 (*.f64 x x) (/.f64 -108/841 x)))
(*.f64 841/108 x)
(.f64 (.f64 x x) (*.f64 -707281/11664 (/.f64 -108/841 x)))
(*.f64 841/108 x)
(.f64 (.f64 -707281/11664 (*.f64 x x)) (/.f64 -108/841 x))
(*.f64 841/108 x)
(.f64 (.f64 841/108 (/.f64 (*.f64 x x) x)) 1)
(*.f64 841/108 x)
(.f64 1 (.f64 841/108 (/.f64 (*.f64 x x) x)))
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 841/108 (/.f64 (.f64 x x) x))) (pow.f64 (cbrt.f64 (.f64 841/108 (/.f64 (*.f64 x x) x))) 2))
(*.f64 841/108 x)
(.f64 (pow.f64 (cbrt.f64 (.f64 841/108 (/.f64 (.f64 x x) x))) 2) (cbrt.f64 (.f64 841/108 (/.f64 (*.f64 x x) x))))
(*.f64 841/108 x)
(.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (cbrt.f64 (.f64 -707281/11664 (*.f64 x x))) (/.f64 -108/841 x)))
(.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (/.f64 -108/841 x) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x)))))
(.f64 (/.f64 -108/841 x) (.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -707281/11664)))))
(.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (.f64 x 841/108))) (/.f64 (.f64 x -841/108) (sqrt.f64 (*.f64 x 841/108))))
(pow.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (.f64 841/108 x))) 2)
(pow.f64 (.f64 (/.f64 x (sqrt.f64 (.f64 841/108 x))) -841/108) 2)
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (*.f64 841/108 x)) -841/108)) 2)
(.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 (.f64 x (sqrt.f64 -707281/11664)) (/.f64 -108/841 x)))
(*.f64 841/108 x)
(.f64 (.f64 (.f64 x x) 707281/11664) (/.f64 1 (.f64 x 841/108)))
(*.f64 841/108 x)
(*.f64 (/.f64 -707281/11664 x) (/.f64 x (/.f64 -841/108 x)))
(*.f64 841/108 x)
(*.f64 (/.f64 x (/.f64 -841/108 x)) (/.f64 -707281/11664 x))
(*.f64 841/108 x)
(.f64 (/.f64 -108/841 x) (.f64 -707281/11664 (*.f64 x x)))
(*.f64 841/108 x)
(.f64 (.f64 -707281/11664 (/.f64 (*.f64 x x) x)) -108/841)
(*.f64 841/108 x)
(.f64 (.f64 -707281/11664 x) (*.f64 x (/.f64 -108/841 x)))
(*.f64 841/108 x)
(.f64 841/108 (/.f64 (.f64 x x) x))
(*.f64 841/108 x)
(.f64 (/.f64 1 x) (/.f64 (.f64 -707281/11664 (*.f64 x x)) -841/108))
(*.f64 841/108 x)
(.f64 (/.f64 (.f64 x x) x) 841/108)
(*.f64 841/108 x)
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) x) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) -841/108))
(.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (/.f64 -108/841 x) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x)))))
(.f64 (/.f64 -108/841 x) (.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -707281/11664)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) x) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) -841/108))
(*.f64 841/108 x)
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) -841/108) (/.f64 (*.f64 x (sqrt.f64 -707281/11664)) x))
(*.f64 841/108 x)
(.f64 (/.f64 (.f64 -707281/11664 x) x) (/.f64 x -841/108))
(*.f64 841/108 x)
(.f64 -108/841 (.f64 -707281/11664 (/.f64 (*.f64 x x) x)))
(*.f64 841/108 x)
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) -841/108) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) x))
(.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (/.f64 -108/841 x) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x)))))
(.f64 (/.f64 -108/841 x) (.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -707281/11664)))))
(.f64 (/.f64 (.f64 -707281/11664 x) -841/108) (/.f64 x x))
(*.f64 841/108 x)
(.f64 (/.f64 (.f64 x x) 1) (/.f64 -707281/11664 (*.f64 x -841/108)))
(*.f64 841/108 x)
(.f64 (/.f64 -707281/11664 (.f64 x -841/108)) (*.f64 x x))
(*.f64 841/108 x)
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) 1) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (*.f64 x -841/108)))
(.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (.f64 (/.f64 -108/841 x) (cbrt.f64 (.f64 -707281/11664 (*.f64 x x)))))
(.f64 (/.f64 -108/841 x) (.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x -707281/11664)))))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) 1) (/.f64 (.f64 x (sqrt.f64 -707281/11664)) (.f64 x -841/108)))
(*.f64 841/108 x)
(.f64 (/.f64 (.f64 -707281/11664 x) 1) (/.f64 x (*.f64 x -841/108)))
(*.f64 841/108 x)
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (.f64 x x) (cbrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -841/108)) x)))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -108/841)))))
(.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 -707281/11664 (cbrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -841/108)) x)))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -108/841)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (.f64 -707281/11664 (.f64 x x)) (cbrt.f64 (*.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -841/108)) x)))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -108/841)))))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (cbrt.f64 (.f64 841/108 (/.f64 (*.f64 x x) x))))
(.f64 (cbrt.f64 (.f64 841/108 (/.f64 x 1))) (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 841/108 x)) (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2))
(.f64 (cbrt.f64 (.f64 841/108 x)) (/.f64 (cbrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)))
(.f64 (/.f64 (.f64 x (sqrt.f64 -707281/11664)) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 (.f64 x (sqrt.f64 -707281/11664)) (cbrt.f64 (*.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -841/108)) x)))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -108/841)))))
(.f64 (/.f64 (.f64 -707281/11664 x) (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 x (cbrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (.f64 x -841/108)) 2)) (/.f64 x (/.f64 (cbrt.f64 (*.f64 x -841/108)) x)))
(.f64 (/.f64 -707281/11664 (pow.f64 (cbrt.f64 (/.f64 x -108/841)) 2)) (.f64 x (/.f64 x (cbrt.f64 (/.f64 x -108/841)))))
(.f64 (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))) (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) x)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (.f64 x -841/108)) x)) (/.f64 (sqrt.f64 (.f64 x -841/108)) -707281/11664))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 x -108/841))) (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664))
(.f64 (/.f64 (.f64 x x) (sqrt.f64 (.f64 x -841/108))) (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) x)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (.f64 x -841/108)) x)) (/.f64 (sqrt.f64 (.f64 x -841/108)) -707281/11664))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 x -108/841))) (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664))
(.f64 (/.f64 1 (sqrt.f64 (.f64 x -841/108))) (/.f64 (.f64 -707281/11664 (.f64 x x)) (sqrt.f64 (*.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) x)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (.f64 x -841/108)) x)) (/.f64 (sqrt.f64 (.f64 x -841/108)) -707281/11664))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 x -108/841))) (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (sqrt.f64 (.f64 x -841/108))) (/.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (sqrt.f64 (.f64 x -841/108))) (/.f64 (cbrt.f64 (.f64 x (.f64 x -707281/11664))) (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (sqrt.f64 (/.f64 x -108/841))) (/.f64 (cbrt.f64 (.f64 x (.f64 x -707281/11664))) (sqrt.f64 (/.f64 x -108/841))))
(.f64 (/.f64 (.f64 -707281/11664 x) (sqrt.f64 (.f64 x -841/108))) (/.f64 x (sqrt.f64 (.f64 x -841/108))))
(.f64 (/.f64 -707281/11664 (sqrt.f64 (.f64 x -841/108))) (/.f64 x (/.f64 (sqrt.f64 (*.f64 x -841/108)) x)))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 (.f64 x -841/108)) x)) (/.f64 (sqrt.f64 (.f64 x -841/108)) -707281/11664))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 x -108/841))) (/.f64 (sqrt.f64 (/.f64 x -108/841)) -707281/11664))
(pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 1)
(*.f64 841/108 x)
(pow.f64 (pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 3) 1/3)
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (.f64 841/108 (/.f64 (.f64 x x) x))) 3)
(*.f64 841/108 x)
(pow.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (.f64 x 841/108))) 2)
(pow.f64 (/.f64 (.f64 x -841/108) (sqrt.f64 (.f64 841/108 x))) 2)
(pow.f64 (.f64 (/.f64 x (sqrt.f64 (.f64 841/108 x))) -841/108) 2)
(pow.f64 (/.f64 x (/.f64 (sqrt.f64 (*.f64 841/108 x)) -841/108)) 2)
(pow.f64 (.f64 (/.f64 x (.f64 x x)) 108/841) -1)
(*.f64 841/108 x)
(neg.f64 (/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x 841/108)))
(*.f64 841/108 x)
(sqrt.f64 (pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 2))
(*.f64 841/108 x)
(log.f64 (exp.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(*.f64 841/108 x)
(log.f64 (+.f64 1 (expm1.f64 (.f64 841/108 (/.f64 (.f64 x x) x)))))
(*.f64 841/108 x)
(cbrt.f64 (pow.f64 (.f64 841/108 (/.f64 (.f64 x x) x)) 3))
(*.f64 841/108 x)
(cbrt.f64 (/.f64 (pow.f64 (.f64 -707281/11664 (.f64 x x)) 3) (pow.f64 (*.f64 x -841/108) 3)))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(*.f64 841/108 x)
(exp.f64 (log.f64 (.f64 841/108 (/.f64 (.f64 x x) x))))
(*.f64 841/108 x)
(-.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 (pow.f64 (.f64 -707281/11664 (.f64 x x)) 3) 1/3)
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(pow.f64 (cbrt.f64 (.f64 -707281/11664 (.f64 x x))) 3)
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(sqrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4)))
(fabs.f64 (.f64 x (.f64 x -707281/11664)))
(log.f64 (pow.f64 (exp.f64 -707281/11664) (*.f64 x 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 (pow.f64 (.f64 -707281/11664 (.f64 x x)) 3))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))
(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 (log.f64 (.f64 -707281/11664 (.f64 x x))))
(.f64 -707281/11664 (.f64 x x))
(.f64 x (.f64 x -707281/11664))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (/.f64 108/841 x) -1)
0.0ms	x	@	-inf	(pow.f64 (/.f64 108/841 x) -1)
0.0ms	x	@	inf	(pow.f64 (/.f64 108/841 x) -1)

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
524×	`add-log-exp_binary64`
524×	`log1p-expm1-u_binary64`
524×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	4
2	1480	4

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

665×	`associate-/r*_binary64`
646×	`associate-/l/_binary64`
402×	`unswap-sqr_binary64`
317×	`associate-/r/_binary64`
234×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	196
1	142	196
2	357	196
3	1698	196

Stop Event

1×	node limit

Counts

40 → 32

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

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

eval69.0ms (1.5%)

Compiler: Compiled 3370 to 2331 computations (30.8% saved)

prune70.0ms (1.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	291	1	292
Fresh	0	1	1
Picked	1	0	1
Done	3	4	7
Total	295	6	301

Error

Counts

301 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	24.1b	(/.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 x 108/841)
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.8b	(*.f64 841/108 x)
	33.1b	4/29

Compiler

Compiled 50 to 40 computations (20% saved)

regimes43.0ms (0.9%)

Counts

19 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(/.f64 x 108/841)
(+.f64 (*.f64 841/108 x) 4/29)
(.f64 (.f64 707281/11664 (*.f64 x x)) (/.f64 108/841 x))
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (.f64 -707281/11664 (.f64 x x)) (*.f64 x -841/108))
(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 108/841 x))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(.f64 (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841) (/.f64 1 (-.f64 (.f64 841/108 x) 4/29)))
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 108/841 x) -1)
(.f64 (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841) (/.f64 1 (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))))
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 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)))

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

Calls

3 calls:

23.0ms	x
8.0ms	(*.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 841 108) x)`

Compiler

Compiled 191 to 143 computations (25.1% saved)

regimes20.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	(*.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 841 108) x)`

Compiler

Compiled 108 to 78 computations (27.8% saved)

regimes10.0ms (0.2%)

Accuracy

Total -59.6b remaining (-2771.9%)

Threshold costs -59.6b (-2771.9%)

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:

9.0ms

Results

Error	Segments	Branch
2.2b	3	`x`

Compiler

Compiled 10 to 7 computations (30% saved)

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.00012303473707101753	219954.45464694072
13.0ms	-0.6487546672792726	-0.00032259810964604507

Results

24.0ms

272×

body

256

valid

Compiler

Compiled 150 to 131 computations (12.7% 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 -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1224979098644775/72057594037927936) 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 -5188146770730811/288230376151711744) (.f64 841/108 x) (if (<=.f64 x 1224979098644775/72057594037927936) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness8.0ms (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)

end51.0ms (1.1%)

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

Details

analyze3.0ms (0.1%)

sample811.0ms (17.3%)

preprocess13.0ms (0.3%)

simplify6.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.7%)

series2.0ms (0.1%)

rewrite48.0ms (1%)

simplify63.0ms (1.3%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite37.0ms (0.8%)

simplify44.0ms (0.9%)

eval55.0ms (1.2%)

prune15.0ms (0.3%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite44.0ms (0.9%)

simplify49.0ms (1%)

localize3.0ms (0.1%)

localize35.0ms (0.7%)

series5.0ms (0.1%)

rewrite99.0ms (2.1%)

simplify203.0ms (4.3%)

localize37.0ms (0.8%)

series4.0ms (0.1%)

rewrite69.0ms (1.5%)

simplify66.0ms (1.4%)

localize26.0ms (0.5%)

series5.0ms (0.1%)

rewrite79.0ms (1.7%)

simplify88.0ms (1.9%)

eval443.0ms (9.5%)

prune161.0ms (3.4%)

localize44.0ms (0.9%)

series4.0ms (0.1%)

rewrite48.0ms (1%)

simplify85.0ms (1.8%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify92.0ms (2%)

localize11.0ms (0.2%)

series3.0ms (0.1%)

rewrite96.0ms (2.1%)

simplify123.0ms (2.6%)

localize19.0ms (0.4%)

series4.0ms (0.1%)

rewrite60.0ms (1.3%)

simplify59.0ms (1.3%)

localize8.0ms (0.2%)

series7.0ms (0.1%)

rewrite46.0ms (1%)

simplify44.0ms (0.9%)

eval454.0ms (9.7%)

prune217.0ms (4.6%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite46.0ms (1%)

simplify45.0ms (1%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite57.0ms (1.2%)

simplify67.0ms (1.4%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite44.0ms (0.9%)

simplify33.0ms (0.7%)

eval69.0ms (1.5%)

prune70.0ms (1.5%)

regimes43.0ms (0.9%)

regimes20.0ms (0.4%)

regimes10.0ms (0.2%)

bsearch28.0ms (0.6%)

simplify3.0ms (0.1%)

soundness8.0ms (0.2%)

end51.0ms (1.1%)

Profiling