Details

analyze17.0ms (0.3%)

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)

sample699.0ms (11.5%)

Results

688.0ms	8252×	body	256	valid
1.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess15.0ms (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)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 60 to 48 computations (20% saved)

rewrite37.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`pow1_binary64`
482×	`add-sqr-sqrt_binary64`
458×	`add-log-exp_binary64`
458×	`log1p-expm1-u_binary64`
458×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	124	4
2	1231	4

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

975×	`log-prod_binary64`
560×	`fma-neg_binary64`
394×	`*-commutative_binary64`
319×	`distribute-rgt-in_binary64`
310×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	92
1	79	92
2	265	92
3	1560	92
4	4498	92
5	7030	92

Stop Event

1×	node limit

Counts

23 → 12

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

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

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)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

Compiler

Compiled 76 to 65 computations (14.5% saved)

rewrite41.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval12.0ms (0.2%)

Compiler: Compiled 472 to 395 computations (16.3% saved)

prune14.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	42	8	50

Error

0.0b

Counts

50 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)
▶	15.9b	(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
▶	15.9b	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	25.0b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
	1.8b	(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))
▶	31.3b	(*.f64 841/108 x)
	31.8b	4/29

Compiler

Compiled 127 to 102 computations (19.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

Compiler

Compiled 60 to 48 computations (20% saved)

rewrite39.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.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 0 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (+.f64 1 (*.f64 841/108 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 841/108 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (+.f64 1 (*.f64 841/108 x))) 1) (+.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 (pow.f64 (*.f64 841/108 x) 2) 1/2)))) (#(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 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 (E.f64) (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 841/108 x)))) (sqrt.f64 (log.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 2))))))

simplify37.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

785×	`times-frac_binary64`
418×	`distribute-rgt-out_binary64`
371×	`fma-neg_binary64`
327×	`fma-def_binary64`
305×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	316
1	192	181
2	592	177
3	3219	177

Stop Event

1×	node limit

Counts

25 → 30

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 0 (*.f64 841/108 x))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 841/108 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 841/108 x)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) 1) (+.f64 (+.f64 1 (.f64 841/108 x)) 1))
(pow.f64 (*.f64 841/108 x) 1)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(fabs.f64 (*.f64 841/108 x))
(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)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))

Outputs
(+.f64 (+.f64 1 (*.f64 841/108 x)) -1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(+.f64 0 (*.f64 841/108 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(+.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))
(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 841/108 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 841/108 x)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 841/108 x)) 3) -1) (fma.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x)) (+.f64 1 (+.f64 1 (.f64 841/108 x)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (fma.f64 (fma.f64 841/108 x 1) (fma.f64 841/108 x 1) (+.f64 (*.f64 841/108 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 1) 3)) (+.f64 1 (*.f64 (fma.f64 841/108 x 1) (fma.f64 841/108 x 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 841/108 x)) (+.f64 1 (.f64 841/108 x))) 1) (+.f64 (+.f64 1 (.f64 841/108 x)) 1))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (*.f64 841/108 x) 1)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 841/108 x)))) (sqrt.f64 (log.f64 (.f64 841/108 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (.f64 841/108 x))))
(sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(fabs.f64 (*.f64 841/108 x))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(log.f64 (pow.f64 (exp.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(expm1.f64 (log1p.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(log1p.f64 (expm1.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(exp.f64 (log.f64 (*.f64 841/108 x)))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 841/108 x))) 3))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 841/108 x))) 2))
(+.f64 1 (-.f64 (*.f64 841/108 x) 1))
(*.f64 841/108 x)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
✓	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	29.5b	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
1.0ms	x	@	0	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
1.0ms	x	@	inf	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
1.0ms	x	@	inf	(.f64 (.f64 x x) 707281/11664)
1.0ms	x	@	0	(.f64 (.f64 x x) 707281/11664)

Compiler

Compiled 236 to 201 computations (14.8% saved)

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	849
1	356	787
2	1207	729
3	5603	729

Stop Event

1×	node limit

Counts

108 → 92

Calls

Call 1

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

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

localize13.0ms (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	(fma.f64 841/108 x -4/29)
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	14.8b	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))

Compiler

Compiled 37 to 23 computations (37.8% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 -16/841 (.f64 (.f64 x x) 707281/11664))
1.0ms	x	@	-inf	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))
1.0ms	x	@	inf	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))
1.0ms	x	@	0	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))
1.0ms	x	@	-inf	(+.f64 -16/841 (.f64 (.f64 x x) 707281/11664))

Compiler

Compiled 266 to 233 computations (12.4% saved)

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
384×	`exp-prod_binary64`
287×	`pow2_binary64`
267×	`pow-prod-down_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	241	28
2	2964	28

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

685×	`fma-def_binary64`
342×	`log-prod_binary64`
235×	`exp-prod_binary64`
203×	`sqr-pow_binary64`
170×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	2062
1	711	1995
2	2732	1974

Stop Event

1×	node limit

Counts

170 → 178

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(*.f64 841/108 x)
(-.f64 (*.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)
-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 (/.f64 1 x) -2))
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 1 x) -2)) 16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 1 x) -2)) 16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 1 x) -2)) 16/841)
(*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2))
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2)) 16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2)) 16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2)) 16/841)
(+.f64 0 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))
(+.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))))))
(+.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))))))
(-.f64 (exp.f64 (log1p.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) (/.f64 1 (fma.f64 x 841/108 -4/29)))
(.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)) 1)
(.f64 1 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) (sqrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 1 (fma.f64 x 841/108 -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 x 841/108 -4/29)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 x 841/108 -4/29)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) -2) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(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 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(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 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))) 2)) (cbrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))) (sqrt.f64 (log.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (neg.f64 (fma.f64 x 841/108 -4/29))))
(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))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x 841/108 -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 1) 1))
(+.f64 -4/29 (*.f64 x 841/108))
(+.f64 (*.f64 x 841/108) -4/29)
(+.f64 0 (fma.f64 x 841/108 -4/29))
(+.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)))))
(+.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 (exp.f64 (log1p.f64 (fma.f64 x 841/108 -4/29))) 1)
(*.f64 (fma.f64 x 841/108 -4/29) 1)
(*.f64 1 (fma.f64 x 841/108 -4/29))
(*.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2) (cbrt.f64 (fma.f64 x 841/108 -4/29)))
(*.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) (sqrt.f64 (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 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))))
(pow.f64 (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 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x 841/108 -4/29)) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x 841/108 -4/29)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 841/108 -4/29))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 841/108 -4/29))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 841/108 -4/29)))) (sqrt.f64 (log.f64 (fma.f64 x 841/108 -4/29))))
(sqrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 2))
(log.f64 (exp.f64 (fma.f64 x 841/108 -4/29)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 841/108 -4/29))))
(cbrt.f64 (pow.f64 (fma.f64 x 841/108 -4/29) 3))
(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))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x 841/108 -4/29)) 1) 1))
(-.f64 (.f64 x (.f64 x 707281/11664)) 16/841)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) 1)
(-.f64 (/.f64 256/707281 (+.f64 -16/841 (.f64 -707281/11664 (.f64 x x)))) (/.f64 (.f64 500246412961/136048896 (pow.f64 x 4)) (+.f64 -16/841 (.f64 -707281/11664 (*.f64 x x)))))
(.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 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (/.f64 1 (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (.f64 x 707281/11664) 16/841) 256/707281)))
(.f64 (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (/.f64 1 (+.f64 -16/841 (.f64 -707281/11664 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (*.f64 x 707281/11664) 16/841) 256/707281) (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321)))
(/.f64 1 (/.f64 (+.f64 -16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))))
(/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (*.f64 x 707281/11664) 16/841) 256/707281))
(/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (fma.f64 500246412961/136048896 (pow.f64 x 4) (-.f64 256/707281 (.f64 -841/729 (.f64 x x)))))
(/.f64 (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4))) (+.f64 -16/841 (.f64 -707281/11664 (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321)) (neg.f64 (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (*.f64 x 707281/11664) 16/841) 256/707281)))
(/.f64 (neg.f64 (-.f64 256/707281 (.f64 500246412961/136048896 (pow.f64 x 4)))) (neg.f64 (+.f64 -16/841 (.f64 -707281/11664 (*.f64 x x)))))
(/.f64 (fma.f64 500246412961/136048896 (pow.f64 x 4) -256/707281) (fma.f64 x (*.f64 x 707281/11664) 16/841))
(pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1)
(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 (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (*.f64 x 707281/11664) 16/841) 256/707281) (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321)) -1)
(pow.f64 (/.f64 (+.f64 -16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))) -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 x (.f64 x 707281/11664)) 1 -16/841)
(fma.f64 1 (.f64 x (.f64 x 707281/11664)) -16/841)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 707281/11664))) (cbrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4))) -16/841)
(fma.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 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 (.f64 x 841/108) (.f64 x 841/108) -16/841)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 x 707281/11664)) -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
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)
-4/29
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(*.f64 841/108 x)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
(-.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x -4/29)
-16/841
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(*.f64 707281/11664 (pow.f64 (/.f64 1 x) -2))
(.f64 x (.f64 x 707281/11664))
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 1 x) -2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 1 x) -2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 1 x) -2)) 16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2))
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2)) 16/841)
(fma.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2)) 16/841)
(fma.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2) -16/841)
(-.f64 (*.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2)) 16/841)
(fma.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2) -16/841)
(+.f64 0 (/.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 (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))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))
(+.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))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))))))
(-.f64 (exp.f64 (log1p.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))
(.f64 (fma.f64 x (.f64 x 707281/11664) -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))
(.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))
(.f64 1 (/.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 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) (pow.f64 (cbrt.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))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) 2) (cbrt.f64 (/.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 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))) (sqrt.f64 (/.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 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (neg.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 1 (fma.f64 x 841/108 -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 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 1) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 x 841/108 -4/29)))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) -2) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (cbrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) -2) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (cbrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) -2) (cbrt.f64 (fma.f64 841/108 x -4/29))) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (cbrt.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) (pow.f64 (cbrt.f64 (fma.f64 x 841/108 -4/29)) 2)) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (cbrt.f64 (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 (pow.f64 (fma.f64 x 841/108 -4/29) -1/2) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(.f64 (pow.f64 (fma.f64 841/108 x -4/29) -1/2) (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (sqrt.f64 (fma.f64 841/108 x -4/29))))
(.f64 (/.f64 (pow.f64 (fma.f64 841/108 x -4/29) -1/2) (sqrt.f64 (fma.f64 841/108 x -4/29))) (fma.f64 x (.f64 x 707281/11664) -16/841))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) (sqrt.f64 (fma.f64 x 841/108 -4/29))) (/.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (sqrt.f64 (fma.f64 x 841/108 -4/29))))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(pow.f64 (/.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))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 x 841/108 -4/29)) 2) 1/2)
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
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(/.f64 (+.f64 256/707281 (.f64 -500246412961/136048896 (pow.f64 x 4))) (+.f64 -16/841 (.f64 -707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x -707281/11664) x -16/841))
(/.f64 (fma.f64 (pow.f64 x 4) -500246412961/136048896 256/707281) (fma.f64 x (*.f64 x -707281/11664) -16/841))
(pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) 1)
(fma.f64 x (*.f64 x 707281/11664) -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)
(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)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 3)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2)
(fma.f64 x (*.f64 x 707281/11664) -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)
(pow.f64 (/.f64 (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (*.f64 x 707281/11664) 16/841) 256/707281) (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321)) -1)
(.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (/.f64 1 (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (.f64 x 707281/11664) 16/841) 256/707281)))
(/.f64 (fma.f64 353814783205469041/1586874322944 (pow.f64 x 6) -4096/594823321) (fma.f64 (.f64 x (.f64 x 707281/11664)) (fma.f64 x (*.f64 x 707281/11664) 16/841) 256/707281))
(pow.f64 (/.f64 (+.f64 -16/841 (.f64 -707281/11664 (.f64 x x))) (-.f64 256/707281 (*.f64 500246412961/136048896 (pow.f64 x 4)))) -1)
(/.f64 (+.f64 256/707281 (.f64 -500246412961/136048896 (pow.f64 x 4))) (+.f64 -16/841 (.f64 -707281/11664 (*.f64 x x))))
(/.f64 (+.f64 256/707281 (.f64 (pow.f64 x 4) -500246412961/136048896)) (fma.f64 (.f64 x -707281/11664) x -16/841))
(/.f64 (fma.f64 (pow.f64 x 4) -500246412961/136048896 256/707281) (fma.f64 x (*.f64 x -707281/11664) -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 (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))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))
(fma.f64 x (*.f64 x 707281/11664) -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)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)))
(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)
(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)
(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)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) 2))
(fma.f64 x (*.f64 x 707281/11664) -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 x (*.f64 x 707281/11664) -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 x (*.f64 x 707281/11664) -16/841)
(fma.f64 (.f64 x (.f64 x 707281/11664)) 1 -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 1 (.f64 x (.f64 x 707281/11664)) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -16/841)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 707281/11664))) (cbrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4))) -16/841)
(fma.f64 (cbrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 707281/11664))) -16/841)
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 707281/11664))) (cbrt.f64 (*.f64 500246412961/136048896 (pow.f64 x 4))) -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 (.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 (.f64 x 841/108) (.f64 x 841/108) -16/841)
(fma.f64 x (*.f64 x 707281/11664) -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 (*.f64 x 707281/11664) x -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 x (*.f64 x 707281/11664) -16/841)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (*.f64 x 707281/11664) -16/841)
	0.1b	(fma.f64 841/108 x -4/29)
✓	0.2b	(*.f64 x 707281/11664)
✓	14.8b	(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))

Compiler

Compiled 30 to 22 computations (26.7% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(fma.f64 x (*.f64 x 707281/11664) -16/841)
1.0ms	x	@	0	(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
1.0ms	x	@	-inf	(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
1.0ms	x	@	inf	(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
1.0ms	x	@	inf	(fma.f64 x (*.f64 x 707281/11664) -16/841)

Compiler

Compiled 250 to 216 computations (13.6% saved)

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	209	27
2	2383	27

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

Outputs

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

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

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

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

571×	`unswap-sqr_binary64`
506×	`times-frac_binary64`
447×	`distribute-rgt-in_binary64`
434×	`distribute-lft-in_binary64`
221×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1072
1	384	1024
2	1752	1009

Stop Event

1×	node limit

Counts

102 → 97

Calls

Call 1

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

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

eval164.0ms (2.7%)

Compiler: Compiled 7363 to 5800 computations (21.2% saved)

prune66.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	488	3	491
Fresh	1	1	2
Picked	1	0	1
Done	2	3	5
Total	492	7	499

Error

0.0b

Counts

499 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)
▶	15.9b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
▶	15.9b	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 (*.f64 841/108 x) 4/29))
▶	34.3b	(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664))) (/.f64 4 29))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.3b	(*.f64 841/108 x)
	31.8b	4/29

Compiler

Compiled 57 to 46 computations (19.3% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x 707281/11664))
✓	0.1b	(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664)))
	0.2b	(*.f64 x 707281/11664)

Compiler

Compiled 35 to 25 computations (28.6% saved)

series2.8s (46%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
691.0ms	x	@	0	(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664)))
610.0ms	x	@	inf	(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664)))
586.0ms	x	@	-inf	(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664)))
307.0ms	x	@	-inf	(sqrt.f64 (*.f64 x 707281/11664))
304.0ms	x	@	0	(sqrt.f64 (*.f64 x 707281/11664))

Compiler

Compiled 192000 to 156160 computations (18.7% saved)

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`pow1_binary64`
553×	`add-log-exp_binary64`
553×	`log1p-expm1-u_binary64`
553×	`expm1-log1p-u_binary64`
538×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	143	10
2	1595	10

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664)))
(sqrt.f64 (*.f64 x 707281/11664))

Outputs

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

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

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

638×	`log-prod_binary64`
318×	`exp-sum_binary64`
299×	`associate-l_binary64`
298×	`fma-neg_binary64`
283×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	435
1	195	351
2	545	267
3	2320	267
4	5392	267

Stop Event

1×	node limit

Counts

38 → 48

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 x 841/108)) 1)
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(pow.f64 (*.f64 x 841/108) 1)
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(pow.f64 (.f64 x (.f64 x 707281/11664)) 1/2)
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(pow.f64 (pow.f64 (*.f64 x 841/108) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(pow.f64 (cbrt.f64 (*.f64 x 841/108)) 3)
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(pow.f64 (sqrt.f64 (*.f64 x 841/108)) 2)
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(sqrt.f64 (.f64 x (.f64 x 707281/11664)))
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(log.f64 (exp.f64 (*.f64 x 841/108)))
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(cbrt.f64 (pow.f64 (*.f64 x 841/108) 3))
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(expm1.f64 (log1p.f64 (*.f64 x 841/108)))
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(log1p.f64 (expm1.f64 (*.f64 x 841/108)))
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(exp.f64 (log.f64 (*.f64 x 841/108)))
(+.f64 (+.f64 1 (*.f64 x 841/108)) -1)
(+.f64 (*.f64 x 841/108) 0)
(*.f64 x 841/108)
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 x) 841/108)) 1)
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) 841/108)
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 707281/11664 1/2))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) 841/108) 1)
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(.f64 1 (.f64 (sqrt.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 x) 841/108)) (cbrt.f64 (*.f64 x 707281/11664)))
(.f64 (cbrt.f64 (.f64 841/108 (sqrt.f64 x))) (cbrt.f64 (*.f64 x 707281/11664)))
(.f64 (cbrt.f64 (.f64 x 707281/11664)) (cbrt.f64 (*.f64 (sqrt.f64 x) 841/108)))
(.f64 (cbrt.f64 (.f64 841/108 (sqrt.f64 x))) (cbrt.f64 (*.f64 x 707281/11664)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (sqrt.f64 x)) 841/108))
(.f64 (cbrt.f64 x) (.f64 841/108 (cbrt.f64 (sqrt.f64 x))))
(.f64 841/108 (.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (pow.f64 (.f64 x 707281/11664) 1/4) (pow.f64 (*.f64 x 707281/11664) 1/4))
(sqrt.f64 (*.f64 x 707281/11664))
(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(*.f64 841/108 (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896))) (sqrt.f64 (cbrt.f64 (.f64 x 707281/11664))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x 500246412961/136048896)))) (sqrt.f64 (cbrt.f64 (.f64 x 707281/11664))))
(*.f64 (pow.f64 707281/11664 1/2) (sqrt.f64 x))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(.f64 (pow.f64 1 1/2) (.f64 (sqrt.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x x) 500246412961/136048896)) 1/2) (pow.f64 (cbrt.f64 (.f64 x 707281/11664)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (.f64 x 500246412961/136048896)))) (sqrt.f64 (cbrt.f64 (.f64 x 707281/11664))))
(pow.f64 (*.f64 x 707281/11664) 1/2)
(sqrt.f64 (*.f64 x 707281/11664))
(pow.f64 (*.f64 (sqrt.f64 x) 841/108) 1)
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3/2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) 841/108)) 3)
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 x 707281/11664) 1/4) 2)
(sqrt.f64 (*.f64 x 707281/11664))
(fabs.f64 (*.f64 (sqrt.f64 x) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) 841/108))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(cbrt.f64 (pow.f64 (*.f64 x 707281/11664) 3/2))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) 841/108)))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) 841/108)))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) 841/108)))
(+.f64 1 (-.f64 (*.f64 841/108 (sqrt.f64 x)) 1))
(+.f64 (*.f64 841/108 (sqrt.f64 x)) 0)
(*.f64 841/108 (sqrt.f64 x))

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 841/108 x) 4/29)
	0.1b	(*.f64 841/108 x)
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	14.8b	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 (*.f64 841/108 x) 4/29))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

Compiler

Compiled 152 to 130 computations (14.5% saved)

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`log-prod_binary64`
320×	`pow2_binary64`
284×	`fma-def_binary64`
271×	`prod-diff_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	273	10
2	3551	10

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 (*.f64 841/108 x) 4/29))
(-.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 (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) (/.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 (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 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 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 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (/.f64 1 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (/.f64 1 (neg.f64 (fma.f64 x 841/108 -4/29))))))) (#(struct:change #<rule 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841/108) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) -4/29)))))

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

524×	`associate-/r*_binary64`
447×	`associate-/l*_binary64`
362×	`fma-def_binary64`
330×	`unswap-sqr_binary64`
303×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	220	1149
1	462	1046
2	1574	1046
3	7713	1046

Stop Event

1×	node limit

Counts

118 → 127

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 707281/11664))
✓	0.1b	(*.f64 x 841/108)
	0.2b	(*.f64 x 707281/11664)
✓	14.8b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
1.0ms	x	@	-inf	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
1.0ms	x	@	inf	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
1.0ms	x	@	inf	(.f64 x (.f64 x 707281/11664))
1.0ms	x	@	-inf	(.f64 x (.f64 x 707281/11664))

Compiler

Compiled 236 to 201 computations (14.8% saved)

rewrite97.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

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 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29)))) (sqrt.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 (*.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 707281/11664) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 x (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 (*.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 x (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x 707281/11664) (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 (*.f64 707281/11664 (*.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 (*.f64 707281/11664 (*.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 (*.f64 707281/11664 (*.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 1 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (*.f64 x x)) (*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 707281/11664 (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (*.f64 x x)) (*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 707281/11664 (*.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (*.f64 x x)) (*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) (*.f64 707281/11664 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 707281/11664 (*.f64 x x))))) (fma.f64 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simplify185.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	587	10805
1	1470	7588
2	5160	5280

Stop Event

1×	node limit

Counts

250 → 285

Calls

Call 1

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

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

eval469.0ms (7.7%)

Compiler: Compiled 16692 to 12837 computations (23.1% saved)

prune99.0ms (1.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	539	1	540
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	539	8	547

Error

Counts

547 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)
✓	15.9b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
✓	15.9b	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 (*.f64 841/108 x) 4/29))
▶	0.2b	(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))))
✓	34.3b	(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664))) (/.f64 4 29))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.3b	(*.f64 841/108 x)
	31.8b	4/29

Compiler

Compiled 75 to 60 computations (20% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664)))
✓	0.3b	(/.f64 16/841 (fma.f64 x -841/108 4/29))
✓	0.4b	(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))
✓	0.6b	(/.f64 (fma.f64 x -841/108 4/29) 707281/11664)

Compiler

Compiled 57 to 44 computations (22.8% saved)

series14.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664)))
1.0ms	x	@	0	(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))
1.0ms	x	@	inf	(/.f64 16/841 (fma.f64 x -841/108 4/29))
1.0ms	x	@	-inf	(/.f64 16/841 (fma.f64 x -841/108 4/29))
1.0ms	x	@	0	(/.f64 16/841 (fma.f64 x -841/108 4/29))

Compiler

Compiled 704 to 602 computations (14.5% saved)

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

527×	`log-prod_binary64`
411×	`exp-prod_binary64`
285×	`pow2_binary64`
267×	`pow-prod-down_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	245	41
2	2996	41

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

Outputs
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(log1p.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 x (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) 1))))))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

523×	`distribute-rgt-in_binary64`
468×	`log-prod_binary64`
281×	`sqr-pow_binary64`
184×	`cube-prod_binary64`
173×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	2715
1	1162	2578
2	3720	2552

Stop Event

1×	node limit

Counts

210 → 291

Calls

Call 1

Inputs
46656/20511149
(+.f64 46656/20511149 (*.f64 -108/841 x))
(+.f64 46656/20511149 (*.f64 -108/841 x))
(+.f64 46656/20511149 (*.f64 -108/841 x))
(*.f64 -108/841 x)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(+.f64 46656/20511149 (*.f64 -108/841 x))
(+.f64 46656/20511149 (*.f64 -108/841 x))
(*.f64 -108/841 x)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(+.f64 46656/20511149 (*.f64 -108/841 x))
(+.f64 46656/20511149 (*.f64 -108/841 x))
(*.f64 20511149/46656 x)
(+.f64 (.f64 20511149/46656 x) (.f64 500246412961/20155392 (pow.f64 x 2)))
(+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))))
(+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 4)) (+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 20511149/46656 x) (.f64 500246412961/20155392 (pow.f64 x 2)))))
-841/108
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(-.f64 (.f64 -1728/707281 (pow.f64 (/.f64 1 x) 2)) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1728/707281 (pow.f64 (/.f64 1 x) 2)) (.f64 -746496/17249876309 (pow.f64 (/.f64 1 x) 3))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
-841/108
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(-.f64 (.f64 -1728/707281 (pow.f64 (/.f64 -1 x) 2)) (+.f64 841/108 (.f64 4/29 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 746496/17249876309 (pow.f64 (/.f64 -1 x) 3)) (.f64 -1728/707281 (pow.f64 (/.f64 -1 x) 2))) (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(-.f64 (.f64 -746496/17249876309 (pow.f64 (/.f64 1 x) 2)) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -746496/17249876309 (pow.f64 (/.f64 1 x) 2)) (.f64 -322486272/420707233300201 (pow.f64 (/.f64 1 x) 3))) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -746496/17249876309 (pow.f64 (/.f64 1 x) 2)) (+.f64 (.f64 -139314069504/10260628712958602189 (pow.f64 (/.f64 1 x) 4)) (.f64 -322486272/420707233300201 (pow.f64 (/.f64 1 x) 3)))) (.f64 1728/707281 (/.f64 1 x)))
(/.f64 -1728/707281 x)
(-.f64 (.f64 -746496/17249876309 (pow.f64 (/.f64 -1 x) 2)) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 322486272/420707233300201 (pow.f64 (/.f64 -1 x) 3)) (.f64 -746496/17249876309 (pow.f64 (/.f64 -1 x) 2))) (*.f64 1728/707281 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -139314069504/10260628712958602189 (pow.f64 (/.f64 -1 x) 4)) (+.f64 (.f64 322486272/420707233300201 (pow.f64 (/.f64 -1 x) 3)) (.f64 -746496/17249876309 (pow.f64 (/.f64 -1 x) 2)))) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -746496/17249876309 (pow.f64 (/.f64 1 x) 2)) (.f64 -841/108 x)) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -841/108 x) (.f64 -746496/17249876309 (pow.f64 (/.f64 -1 x) 2))) (+.f64 4/29 (*.f64 1728/707281 (/.f64 1 x))))
(+.f64 0 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 11664/707281) (fma.f64 x -841/108 4/29))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 11664/707281) (fma.f64 x -841/108 4/29)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 11664/707281) (fma.f64 x -841/108 4/29)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 11664/707281) (fma.f64 x -841/108 4/29)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))) 1)
(*.f64 (fma.f64 x -841/108 4/29) 11664/707281)
(.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) 1)
(.f64 1 (.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2) (.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 11664/707281))
(.f64 (cbrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) 2) (cbrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 11664/707281))
(.f64 (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841) (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841))
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(*.f64 11664/707281 (fma.f64 x -841/108 4/29))
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) 1)
(pow.f64 (*.f64 (pow.f64 (fma.f64 x -841/108 4/29) 2) 136048896/500246412961) 1/2)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)) 3)
(pow.f64 (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841) 2)
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(log.f64 (pow.f64 (exp.f64 11664/707281) (fma.f64 x -841/108 4/29)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) 3))
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(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
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(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 2))
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(+.f64 0 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 1)
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(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) -2) (/.f64 x (cbrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) 2)) (cbrt.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
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(pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 2) 500246412961/136048896) 1/2)
(pow.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 841/108) 2)
(pow.f64 (/.f64 (fma.f64 x -841/108 4/29) (/.f64 x 11664/707281)) -1)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 2)) (cbrt.f64 (log.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) (sqrt.f64 (log.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(neg.f64 (/.f64 x (*.f64 (fma.f64 x -841/108 4/29) -11664/707281)))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x (fma.f64 x -841/108 4/29)) 2) 500246412961/136048896))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 x (fma.f64 x -841/108 4/29))) 841/108)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x -841/108 4/29) (/.f64 x 11664/707281))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) 1))
(+.f64 0 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 1)
(*.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)))
(*.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(*.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 2) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))))
(*.f64 -16/841 (/.f64 1 (neg.f64 (fma.f64 x -841/108 4/29))))
(*.f64 (/.f64 1 (fma.f64 x -841/108 4/29)) 16/841)
(pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 1)
(pow.f64 (*.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 3)
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 2)) (cbrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))) (sqrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(sqrt.f64 (*.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) -2)))
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3))
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x -841/108 4/29) 841/16)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1) 1))
(+.f64 0 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 1)
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (/.f64 x 11664/707281)))
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(/.f64 (.f64 x x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (fma.f64 x -841/108 4/29) -11664/707281))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (fma.f64 x -841/108 4/29) -11664/707281))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (fma.f64 x -841/108 4/29) -11664/707281))
(/.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 11664/707281)
(/.f64 (/.f64 (.f64 x x) 1) (.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(/.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) 2)) (cbrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(/.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841))
(pow.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1)
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 6) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 3)
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 2)
(pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(pow.f64 (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (.f64 x x)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) (sqrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 6))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 x (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 3))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) 1))

Outputs
46656/20511149
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(*.f64 -108/841 x)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(*.f64 -108/841 x)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
(+.f64 46656/20511149 (*.f64 -108/841 x))
(fma.f64 -108/841 x 46656/20511149)
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(pow.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3) 1/3)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 3)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(pow.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) -1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (/.f64 (*.f64 (fma.f64 x -841/108 4/29) 841/16) 1) -1)
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 2)) (cbrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))) (sqrt.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(sqrt.f64 (*.f64 256/707281 (pow.f64 (fma.f64 x -841/108 4/29) -2)))
(fabs.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))
(log.f64 (exp.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(cbrt.f64 (pow.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) 3))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(expm1.f64 (log1p.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(log1p.f64 (expm1.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 1/3))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) 3))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (*.f64 (log.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29)))) 2))
(pow.f64 (/.f64 4/29 (sqrt.f64 (fma.f64 x -841/108 4/29))) 2)
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x -841/108 4/29) 841/16)) -1))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) 1) 1))
(/.f64 16/841 (fma.f64 x -841/108 4/29))
(+.f64 0 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 1)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 x (/.f64 (fma.f64 x -841/108 4/29) (/.f64 x 11664/707281)))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 1 (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (.f64 x x)))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (.f64 x x) (.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (neg.f64 (.f64 x x)) (.f64 (fma.f64 x -841/108 4/29) -11664/707281))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (.f64 (neg.f64 x) x) (.f64 (fma.f64 x -841/108 4/29) -11664/707281))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (.f64 x (neg.f64 x)) (.f64 (fma.f64 x -841/108 4/29) -11664/707281))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 11664/707281)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (/.f64 (.f64 x x) 1) (.f64 (fma.f64 x -841/108 4/29) 11664/707281))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281)) 2)) (cbrt.f64 (*.f64 (fma.f64 x -841/108 4/29) 11664/707281)))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(/.f64 (/.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 1)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 4) 1/2)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 6) 1/3)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (cbrt.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 3)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 2)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (/.f64 (.f64 (fma.f64 x -841/108 4/29) 11664/707281) (.f64 x x)) -1)
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))) (sqrt.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))))) (sqrt.f64 (log.f64 (.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 4))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 6))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(exp.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 x (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841)) 6)) 1/3))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) 3))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(exp.f64 (.f64 (log.f64 (/.f64 x (.f64 (sqrt.f64 (fma.f64 x -841/108 4/29)) 108/841))) 2))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x x) (/.f64 707281/11664 (fma.f64 x -841/108 4/29)))) 1) 1))
(.f64 x (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))
(.f64 x (.f64 707281/11664 (/.f64 x (fma.f64 x -841/108 4/29))))

eval140.0ms (2.3%)

Compiler: Compiled 6525 to 5144 computations (21.2% saved)

prune44.0ms (0.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	291	8	299

Error

Counts

299 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)
✓	15.9b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
✓	15.9b	(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 (*.f64 841/108 x) 4/29))
	1.4b	(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 x (/.f64 x (.f64 -108/841 x))))
	1.4b	(-.f64 4/29 (*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.3b	(*.f64 841/108 x)
	31.8b	4/29

Compiler

Compiled 73 to 57 computations (21.9% saved)

regimes40.0ms (0.7%)

Counts

15 → 1

Calls

Call 1

Inputs
4/29
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 (*.f64 841/108 x) 4/29))
(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 x 841/108)))
(fma.f64 841/108 x 4/29)
(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
(-.f64 4/29 (*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))))
(/.f64 (+.f64 -16/841 (.f64 (.f64 x x) 707281/11664)) (fma.f64 841/108 x -4/29))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (.f64 x (/.f64 x (.f64 -108/841 x))))
(+.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x 707281/11664))) (/.f64 4 29))
(/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))
(-.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (*.f64 x (/.f64 x (/.f64 (fma.f64 x -841/108 4/29) 707281/11664))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 183 to 143 computations (21.9% saved)

regimes10.0ms (0.2%)

Accuracy

Total -60.5b remaining (-4543.7%)

Threshold costs -60.5b (-4543.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.0029421815227809534	1888.8247890618795
16.0ms	-251682915.918413	-0.0057880256772278186

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 166 to 145 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	13	29
1	15	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness8.0ms (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

Compiler

Compiled 31 to 27 computations (12.9% saved)

end23.0ms (0.4%)

Compiler: Compiled 22 to 17 computations (22.7% saved)

Details

analyze17.0ms (0.3%)

sample699.0ms (11.5%)

preprocess15.0ms (0.3%)

simplify6.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite37.0ms (0.6%)

simplify51.0ms (0.8%)

localize4.0ms (0.1%)

series3.0ms (0%)

rewrite41.0ms (0.7%)

simplify48.0ms (0.8%)

eval12.0ms (0.2%)

prune14.0ms (0.2%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite39.0ms (0.6%)

simplify37.0ms (0.6%)

localize3.0ms (0%)

localize11.0ms (0.2%)

series9.0ms (0.1%)

rewrite53.0ms (0.9%)

simplify52.0ms (0.9%)

localize13.0ms (0.2%)

series9.0ms (0.1%)

rewrite68.0ms (1.1%)

simplify64.0ms (1.1%)

localize12.0ms (0.2%)

series9.0ms (0.1%)

rewrite55.0ms (0.9%)

simplify42.0ms (0.7%)

eval164.0ms (2.7%)

prune66.0ms (1.1%)

localize15.0ms (0.3%)

series2.8s (46%)

rewrite49.0ms (0.8%)

simplify43.0ms (0.7%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

rewrite61.0ms (1%)

simplify55.0ms (0.9%)

localize17.0ms (0.3%)

series7.0ms (0.1%)

rewrite97.0ms (1.6%)

simplify185.0ms (3.1%)

eval469.0ms (7.7%)

prune99.0ms (1.6%)

localize23.0ms (0.4%)

series14.0ms (0.2%)

rewrite70.0ms (1.2%)

simplify78.0ms (1.3%)

eval140.0ms (2.3%)

prune44.0ms (0.7%)

regimes40.0ms (0.7%)

regimes10.0ms (0.2%)

bsearch32.0ms (0.5%)

simplify3.0ms (0.1%)

soundness8.0ms (0.1%)

end23.0ms (0.4%)

Profiling