Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.6s (24.8%)

Results

1.5s	8253×	body	256	valid
1.0ms	2×	body	1024	valid
0.0ms	3×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess30.0ms (0.5%)

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)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

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)

prune2.0ms (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	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
▶	0.1b	(fma.f64 841/108 x 4/29)

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	120
1	8	102
2	10	102

Stop Event

1×

saturated

Counts

67 → 46

Calls

Call 1

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

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

localize7.0ms (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)

series2.0ms (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	@	0	(fma.f64 841/108 x 4/29)
0.0ms	x	@	inf	(fma.f64 841/108 x 4/29)

rewrite65.0ms (1%)

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)))))))

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	54
2	10	54

Stop Event

1×

saturated

Counts

36 → 27

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))

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)

eval37.0ms (0.6%)

Compiler: Compiled 691 to 562 computations (18.7% saved)

prune25.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	65	8	73
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	66	9	75

Error

0.0b

Counts

75 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	0.1b	(fma.f64 841/108 x 4/29)
▶	0.8b	(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	29.0b	(*.f64 841/108 x)
	33.8b	4/29
	23.8b	(/.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))))
	30.7b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
▶	18.4b	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))

Compiler

Compiled 171 to 142 computations (17% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	54
2	10	54

Stop Event

1×

saturated

Counts

55 → 46

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))

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)

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)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	16.7b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite127.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	280	24
2	3803	20

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

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

Outputs

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

simplify176.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
638×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	243
1	25	225
2	43	225
3	81	225
4	202	225
5	603	225
6	814	225
7	1228	225
8	1328	225
9	1463	225
10	1632	225
11	1875	225
12	2188	225
13	2558	225
14	3015	225
15	3604	225
16	4314	225
17	5174	225
18	5602	225
19	5922	225
20	6228	225
21	6304	225
22	6338	225

Stop Event

1×	node limit

Counts

282 → 256

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 841/108 x 4/29)
✓	0.7b	(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)

Compiler

Compiled 23 to 19 computations (17.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

813×	`pow1_binary64`
768×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
758×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	178	5
2	2297	5

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 841/108 x) -25/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 841/108 x 4/29) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 841/108 x) 33/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 841/108 x) -25/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 841/108 x) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (*.f64 841/108 x) 33/29) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (/.f64 1 (+.f64 (fma.f64 841/108 x 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 841/108 x 4/29) 2) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1) (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (+.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1) (-.f64 (+.f64 (*.f64 841/108 x) 33/29) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) (+.f64 (fma.f64 841/108 x 4/29) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (*.f64 841/108 x) 33/29) 2) -1)) (neg.f64 (+.f64 (fma.f64 841/108 x 4/29) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 841/108 x) -25/29) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29)) (+.f64 (*.f64 841/108 x) -25/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) 64/24389) (+.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (*.f64 841/108 x) -25/29) (+.f64 (*.f64 841/108 x) -25/29))) (-.f64 1 (+.f64 (*.f64 841/108 x) -25/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 841/108 x) (*.f64 841/108 x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 4/29) 1)))) (#(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 pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (*.f64 841/108 x) 33/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) 2) (cbrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 33/29)) -1)))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	72
1	8	54
2	10	54

Stop Event

1×

saturated

Counts

55 → 45

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))

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)

localize48.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 841/108 x -4/29)
✓	0.2b	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	17.1b	(/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))

Compiler

Compiled 52 to 34 computations (34.6% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))
1.0ms	x	@	0	(/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))
1.0ms	x	@	inf	(/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))
0.0ms	x	@	0	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
325×	`pow2_binary64`
313×	`pow-prod-down_binary64`
228×	`prod-diff_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	283	35
2	3434	35

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 *.f64 (fma.f64 841/108 x -4/29) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))) 2) (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (*.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))) (sqrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (*.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 841/108 x -4/29)) (/.f64 1 (neg.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (*.f64 x 707281/11664) -16/841)) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) 1) (/.f64 (cbrt.f64 (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 (sqrt.f64 (fma.f64 841/108 x -4/29)) 1) (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (fma.f64 x (*.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) -2) (/.f64 (fma.f64 841/108 x -4/29) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2)) (cbrt.f64 (/.f64 (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 (sqrt.f64 (fma.f64 841/108 x -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2)) (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) -1/2) (/.f64 (fma.f64 841/108 x -4/29) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))) (/.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (*.f64 (*.f64 x x) -841/729)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (fma.f64 x (*.f64 x 707281/11664) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.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 pow.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 pow.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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 pow.f64 (sqrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (fma.f64 841/108 x -4/29) 3) (pow.f64 (fma.f64 x (*.f64 x 707281/11664) 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707281/11664) -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (*.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 +.f64 0 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 x x) 707281/11664) (/.f64 1 (fma.f64 841/108 x -4/29))) (*.f64 -16/841 (/.f64 1 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -16/841 (/.f64 1 (fma.f64 841/108 x -4/29))) (*.f64 (*.f64 (*.f64 x x) 707281/11664) (/.f64 1 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (*.f64 (*.f64 x x) 707281/11664)) (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) -16/841))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) -16/841) (*.f64 (/.f64 1 (fma.f64 841/108 x -4/29)) (*.f64 (*.f64 x x) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 -4/29 (*.f64 841/108 x))))) (#(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 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 (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)))))))) (#(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 (exp.f64 (log1p.f64 (fma.f64 841/108 x -4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (cbrt.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (*.f64 x 707281/11664) -16/841) (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 841/108 x) 3) -64/24389) (fma.f64 x (*.f64 x 707281/11664) (-.f64 16/841 (*.f64 (*.f64 841/108 x) -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x -4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x -4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x -4/29)) 1))))))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
751×	`distribute-neg-frac_binary64`
685×	`associate-r_binary64`
417×	`times-frac_binary64`
288×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	309
1	113	289
2	264	285
3	678	279
4	1988	276
5	6902	276

Stop Event

1×	node limit

Counts

163 → 149

Calls

Call 1

Inputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
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)

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

eval530.0ms (8.4%)

Compiler: Compiled 15168 to 11842 computations (21.9% saved)

prune87.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	556	7	563
Fresh	3	0	3
Picked	1	0	1
Done	2	3	5
Total	562	10	572

Error

Counts

572 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.2b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	17.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	18.4b	(/.f64 1 (/.f64 (-.f64 (.f64 841/108 x) 4/29) (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841)))
▶	0.8b	(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
▶	29.4b	(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
✓	29.0b	(*.f64 841/108 x)
	33.8b	4/29
	23.8b	(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (.f64 841/108 x) 4/29))))
▶	47.0b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 182 to 147 computations (19.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 841/108 x) 33/29)
	0.1b	(*.f64 841/108 x)
✓	0.7b	(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
0.0ms	x	@	inf	(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
0.0ms	x	@	-inf	(+.f64 (*.f64 841/108 x) 33/29)
0.0ms	x	@	-inf	(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
0.0ms	x	@	inf	(+.f64 (*.f64 841/108 x) 33/29)

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

935×	`pow1_binary64`
882×	`add-log-exp_binary64`
882×	`log1p-expm1-u_binary64`
882×	`expm1-log1p-u_binary64`
870×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	181	10
2	2258	10

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(+.f64 (*.f64 841/108 x) 33/29)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (+.f64 (*.f64 841/108 x) 62/29)) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (/.f64 1 (+.f64 (*.f64 841/108 x) 62/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))) (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 841/108 x) 62/29) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (*.f64 (fma.f64 841/108 x 33/29) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1) (+.f64 (*.f64 841/108 x) 62/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 841/108 x 33/29) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) (-.f64 1 (*.f64 (fma.f64 841/108 x 33/29) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2) -1)) (neg.f64 (+.f64 (*.f64 841/108 x) 62/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 594823321/1259712 (pow.f64 x 3)) 64/24389) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 16/841 (*.f64 (*.f64 841/108 x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 707281/11664 (*.f64 x x)) 16/841) (-.f64 (*.f64 841/108 x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 841/108 x 33/29) 2)) (-.f64 -1 (fma.f64 841/108 x 33/29)))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 841/108 x 33/29) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 841/108 x 33/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 707281/11664 (*.f64 x x)) (fma.f64 841/108 x -33/29)) (/.f64 1089/841 (fma.f64 841/108 x -33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 33/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 33/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 2) (cbrt.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) (sqrt.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (/.f64 1 (fma.f64 841/108 x -33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))) (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 841/108 x -33/29) (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 1089/841 (-.f64 (*.f64 707281/11664 (*.f64 x x)) (*.f64 x 319/36))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841) (fma.f64 841/108 x -33/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 35937/24389 (*.f64 594823321/1259712 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) (-.f64 1089/841 (*.f64 x 319/36)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 707281/11664 (*.f64 x x)) -1089/841)) (neg.f64 (fma.f64 841/108 x -33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1089/841 (*.f64 707281/11664 (*.f64 x x))) (-.f64 33/29 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 841/108 x 33/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 33/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 33/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 33/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 33/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)) 33/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 33/29)))))

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	144
1	11	108
2	15	108

Stop Event

1×

saturated

Counts

94 → 75

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))
33/29
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))

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)
33/29
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 33/29)
(fma.f64 841/108 x 33/29)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	8
2	1505	8

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

58 → 46

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)

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)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 -46656/20511149 x) x)
	0.3b	(/.f64 108/841 x)
✓	0.4b	(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
✓	0.6b	(/.f64 -46656/20511149 x)

Compiler

Compiled 36 to 25 computations (30.6% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 -46656/20511149 x)
1.0ms	x	@	inf	(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
1.0ms	x	@	0	(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
0.0ms	x	@	0	(/.f64 (/.f64 -46656/20511149 x) x)
0.0ms	x	@	inf	(/.f64 -46656/20511149 x)

rewrite85.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
343×	`fma-def_binary64`
329×	`pow-prod-down_binary64`
287×	`pow2_binary64`
283×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	232	27
2	3359	25

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -46656/20511149 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -46656/20511149 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -46656/20511149 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -46656/20511149 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -46656/20511149 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -46656/20511149 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -46656/20511149 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -46656/20511149 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -46656/20511149 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (cbrt.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 46656/20511149 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) -46656/20511149)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -46656/20511149 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2176782336/420707233300201 (pow.f64 x -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x -20511149/46656) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -20511149/46656) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x -20511149/46656) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2176782336/420707233300201 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -46656/20511149 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x -20511149/46656) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -46656/20511149 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -46656/20511149 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))) (cbrt.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -1/2) (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x (/.f64 -46656/20511149 x) (*.f64 x 108/841))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1259712/594823321 (pow.f64 x -3) (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 6)))) (-.f64 (fma.f64 11664/707281 (pow.f64 x -2) (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (/.f64 -5038848/17249876309 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 11664/707281 (pow.f64 x -2)) (/.f64 2176782336/420707233300201 (pow.f64 x 4)))) (/.f64 (-.f64 108/841 (/.f64 -46656/20511149 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) -2) (/.f64 1 (cbrt.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 -46656/20511149 (pow.f64 x -2) (/.f64 108/841 x)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -46656/20511149 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -46656/20511149) (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -46656/20511149) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -46656/20511149) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -46656/20511149) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -46656/20511149 (pow.f64 x -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -46656/20511149 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -46656/20511149 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -46656/20511149 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -46656/20511149 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4))) (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (*.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -46656/20511149) x) (/.f64 (sqrt.f64 -46656/20511149) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (*.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 46656/20511149 x) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -46656/20511149 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) 1) (/.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -46656/20511149 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (/.f64 -46656/20511149 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -46656/20511149 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -46656/20511149 (sqrt.f64 x)) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (/.f64 -46656/20511149 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -46656/20511149 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -46656/20511149 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -46656/20511149) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -20511149/46656)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x x) -46656/20511149) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (*.f64 x -20511149/46656)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -46656/20511149 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2176782336/420707233300201 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -46656/20511149) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -46656/20511149 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -101559956668416/8629188747598184440949 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -46656/20511149 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -46656/20511149 (pow.f64 x -2))) 1))))))

simplify83.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
685×	`associate-/r/_binary64`
482×	`associate-/l/_binary64`
415×	`associate-/r*_binary64`
359×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	238
1	100	234
2	221	232
3	569	225
4	1551	219
5	3486	219
6	5633	219
7	6698	219
8	7452	219

Stop Event

1×	node limit

Counts

126 → 120

Calls

Call 1

Inputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))
(/.f64 -46656/20511149 (pow.f64 x 2))

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
303×	`pow-prod-down_binary64`
280×	`pow2_binary64`
238×	`prod-diff_binary64`
197×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	227	27
2	3045	25

Stop Event

1×	node limit

Counts

3 → 102

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x -707281/11664)))))))) (#(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 (pow.f64 x 4) 500246412961/136048896) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (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 (sqrt.f64 -707281/11664)) 6))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x (sqrt.f64 -707281/11664)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x -707281/11664)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 -707281/11664))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -707281/11664))) 1) 1))))))

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

888×	`fma-def_binary64`
658×	`associate-/r/_binary64`
380×	`*-commutative_binary64`
365×	`associate-/l/_binary64`
350×	`swap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	286
1	103	282
2	224	280
3	579	273
4	1587	267
5	3465	267
6	5328	267
7	6385	267
8	7140	267
9	7940	267

Stop Event

1×	node limit

Counts

138 → 122

Calls

Call 1

Inputs
(*.f64 -20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (.f64 -500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (*.f64 -500246412961/20155392 (pow.f64 x 3))))
(+.f64 (.f64 -20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 -12200509765705829/8707129344 (pow.f64 x 4)) (+.f64 (.f64 -297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 -500246412961/20155392 (pow.f64 x 3)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x))))
(+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 841/108 x) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 -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)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))

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

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)
✓	0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 841/108 x) 4/29) (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841)))
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	17.1b	(/.f64 (-.f64 (.f64 841/108 x) 4/29) (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841))

Compiler

Compiled 58 to 39 computations (32.8% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite157.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log-prod_binary64`
452×	`prod-diff_binary64`
312×	`fma-def_binary64`
274×	`fma-neg_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	318	13
2	4162	13

Stop Event

1×	node limit

Counts

2 → 230

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
750×	`distribute-neg-frac_binary64`
679×	`associate-r_binary64`
417×	`times-frac_binary64`
284×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	255
1	108	235
2	257	231
3	674	225
4	1982	222
5	6857	222

Stop Event

1×	node limit

Counts

254 → 247

Calls

Call 1

Inputs
29/4
(+.f64 29/4 (*.f64 -707281/1728 x))
(+.f64 29/4 (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (.f64 -707281/1728 x)))
(+.f64 29/4 (+.f64 (.f64 -420707233300201/322486272 (pow.f64 x 3)) (+.f64 (.f64 17249876309/746496 (pow.f64 x 2)) (*.f64 -707281/1728 x))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
(/.f64 108/841 x)
(-.f64 (.f64 108/841 (/.f64 1 x)) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (*.f64 46656/20511149 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 108/841 (/.f64 1 x)) (.f64 20155392/500246412961 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 8707129344/12200509765705829 (/.f64 1 (pow.f64 x 4))) (.f64 46656/20511149 (/.f64 1 (pow.f64 x 2)))))
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))

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

eval361.0ms (5.7%)

Compiler: Compiled 16147 to 12767 computations (20.9% saved)

prune166.0ms (2.6%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	678	3	681
Fresh	1	1	2
Picked	1	0	1
Done	0	7	7
Total	680	11	691

Error

Counts

691 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.2b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	25.1b	(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)
✓	0.8b	(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
▶	34.5b	(+.f64 33/29 -1)
✓	29.4b	(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
▶	29.2b	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓	29.0b	(*.f64 841/108 x)
✓	17.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
	33.8b	4/29
✓	47.0b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 98 to 80 computations (18.4% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.6b	(+.f64 33/29 -1)

Compiler

Compiled 6 to 6 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite85.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`prod-diff_binary64`
444×	`log1p-udef_binary64`
274×	`add-sqr-sqrt_binary64`
268×	`pow1_binary64`
261×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	78	1
2	692	1
3	6535	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 33/29 -1)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 4/29)))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs

Outputs

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 707281/11664 (.f64 x x))
✓	0.3b	(*.f64 x 319/36)
✓	0.7b	(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)
✓	23.3b	(/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36))))

Compiler

Compiled 91 to 66 computations (27.5% saved)

series269.0ms (4.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
263.0ms	x	@	0	(/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36))))
1.0ms	x	@	inf	(/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36))))
1.0ms	x	@	inf	(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)
1.0ms	x	@	0	(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)
1.0ms	x	@	-inf	(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)

rewrite485.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`fma-def_binary64`
398×	`fma-neg_binary64`
348×	`expm1-udef_binary64`
348×	`log1p-udef_binary64`
211×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	66
1	442	62
2	5728	58

Stop Event

1×	node limit

Counts

4 → 110

Calls

Call 1

Inputs
(/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36))))
(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)
(*.f64 x 319/36)
(.f64 707281/11664 (.f64 x x))

Outputs
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((#(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 (cbrt.f64 (.f64 x (.f64 x 707281/11664))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 841/108) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 500246412961/136048896 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 707281/11664) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 707281/11664)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 353814783205469041/1586874322944 (pow.f64 x 6)))))) (#(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 (fma.f64 2 (log.f64 x) (log.f64 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 2 (log.f64 x) (log.f64 707281/11664)) 1))))))

simplify194.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1101×	`sqr-pow_binary64`
591×	`associate-l_binary64`
565×	`cube-prod_binary64`
563×	`fabs-mul_binary64`
528×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	276
1	24	240
2	39	240
3	69	240
4	157	240
5	464	240
6	1658	240
7	2576	240
8	2740	240
9	2953	240
10	3173	240
11	3478	240
12	3882	240
13	4371	240
14	4939	240
15	5623	240
16	6460	240
17	6854	240
18	7148	240
19	7424	240
20	7498	240
21	7534	240

Stop Event

1×	node limit

Counts

158 → 121

Calls

Call 1

Inputs
33/29
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
(+.f64 33/29 (*.f64 841/108 x))
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (*.f64 841/108 x))
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 319/36 x)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))

Outputs
33/29
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(*.f64 841/108 x)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
(+.f64 33/29 (*.f64 841/108 x))
(fma.f64 841/108 x 33/29)
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 (*.f64 841/108 x) 4/29)
(fma.f64 841/108 x 4/29)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 319/36 x)
(*.f64 x 319/36)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))

localize24.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓	0.4b	(*.f64 (/.f64 1 x) 108/841)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	146	8
2	1715	8

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	96
1	7	96

Stop Event

1×

saturated

Counts

67 → 43

Calls

Call 1

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

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

eval118.0ms (1.9%)

Compiler: Compiled 3584 to 2898 computations (19.1% saved)

prune154.0ms (2.4%)

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	165	11	176

Error

Counts

176 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.2b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	25.1b	(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)
✓	0.8b	(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
✓	34.5b	(+.f64 33/29 -1)
✓	29.4b	(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
✓	29.2b	(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
✓	29.0b	(*.f64 841/108 x)
✓	17.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
	33.8b	4/29
✓	47.0b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 98 to 80 computations (18.4% saved)

regimes84.0ms (1.3%)

Counts

20 → 1

Calls

Call 1

Inputs
4/29
4/29
(+.f64 33/29 -1)
(*.f64 841/108 x)
(/.f64 1 (/.f64 108/841 x))
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 1 (/.f64 (-.f64 (.f64 841/108 x) 4/29) (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841)))
(fma.f64 841/108 x 4/29)
(-.f64 (+.f64 1 (fma.f64 841/108 x 4/29)) 1)
(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
(+.f64 (/.f64 (+.f64 35937/24389 (.f64 594823321/1259712 (pow.f64 x 3))) (+.f64 (.f64 707281/11664 (.f64 x x)) (-.f64 1089/841 (.f64 x 319/36)))) -1)
(/.f64 (+.f64 (pow.f64 (.f64 841/108 x) 3) 64/24389) (+.f64 (.f64 (.f64 841/108 x) (.f64 841/108 x)) (-.f64 16/841 (.f64 (.f64 841/108 x) 4/29))))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 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))))

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

Calls

5 calls:

38.0ms	(*.f64 (/.f64 841 108) x)
11.0ms	x
11.0ms	(*.f64 (/.f64 841 108) x)
10.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
7.0ms	(+.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 228 to 184 computations (19.3% saved)

regimes55.0ms (0.9%)

Counts

13 → 1

Calls

Call 1

Inputs
4/29
4/29
(+.f64 33/29 -1)
(*.f64 841/108 x)
(/.f64 1 (/.f64 108/841 x))
(+.f64 (*.f64 841/108 x) 4/29)
(/.f64 1 (*.f64 (/.f64 1 x) 108/841))
(+.f64 (+.f64 (*.f64 841/108 x) 33/29) -1)
(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
(/.f64 1 (+.f64 (/.f64 108/841 x) (/.f64 (/.f64 -46656/20511149 x) x)))
(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(/.f64 1 (/.f64 (-.f64 (.f64 841/108 x) 4/29) (+.f64 (.f64 (*.f64 x x) 707281/11664) -16/841)))

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

Calls

5 calls:

15.0ms	x
12.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
9.0ms	(*.f64 (/.f64 841 108) x)
8.0ms	(*.f64 (/.f64 841 108) x)
5.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(+.f64 (*.f64 (/.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 126 to 102 computations (19% saved)

regimes44.0ms (0.7%)

Counts

5 → 3

Calls

Call 1

Inputs
4/29
4/29
(+.f64 33/29 -1)
(*.f64 841/108 x)
(/.f64 1 (/.f64 108/841 x))

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

Calls

1 calls:

42.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch60.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	1.9528963858121105e-8	1.521228129001963
31.0ms	-4279664386679.3286	-4.217355735732614e-10

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes28.0ms (0.4%)

Accuracy

Total -0.7b remaining (-2.1%)

Threshold costs -0.7b (-2.1%)

Counts

3 → 1

Calls

Call 1

Inputs
4/29
4/29
(+.f64 33/29 -1)

Outputs
4/29

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
33.8b	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	16	34

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -8764752663919265/2048) (.f64 841/108 x) (if (<=.f64 x 2951133579800441/151115727451828646838272) 4/29 (.f64 841/108 x)))
4/29

Outputs
(fma.f64 841/108 x 4/29)
(+.f64 (*.f64 841/108 x) 4/29)
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -8764752663919265/2048) (.f64 841/108 x) (if (<=.f64 x 2951133579800441/151115727451828646838272) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 31 to 27 computations (12.9% saved)

end58.0ms (0.9%)

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