Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (8.4%)

Results

1.1s	8255×	body	256	valid
0.0ms	3×	body	256	invalid
0.0ms	1×	body	1024	valid

preprocess20.0ms (0.2%)

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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
✓	0.2b	(*.f64 (/.f64 841 108) x)

Compiler

Compiled 26 to 23 computations (11.5% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	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)
0.0ms	x	@	inf	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
0.0ms	x	@	0	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite73.0ms (0.6%)

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)))))

simplify10.0ms (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	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)

localize4.0ms (0%)

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)

series6.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(fma.f64 841/108 x 4/29)
0.0ms	x	@	0	(fma.f64 841/108 x 4/29)
0.0ms	x	@	inf	(fma.f64 841/108 x 4/29)

rewrite56.0ms (0.4%)

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)))))))

simplify8.0ms (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

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)

eval26.0ms (0.2%)

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

prune16.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	67	8	75

Error

0.0b

Counts

75 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.3b	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
▶	26.7b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
▶	28.6b	(*.f64 841/108 x)
	33.9b	4/29
✓	0.1b	(fma.f64 841/108 x 4/29)
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	19.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 129 to 106 computations (17.8% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 841/108 x) 4/29)
✓	0.2b	(*.f64 841/108 x)

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite63.0ms (0.5%)

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)))))

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 → 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
	0.2b	(*.f64 841/108 x)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
	0.2b	(*.f64 841/108 x)
✓	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	18.5b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0%)

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	@	0	(.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)))

rewrite163.0ms (1.2%)

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)))))

simplify175.0ms (1.3%)

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)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	31.0b	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
0.0ms	x	@	inf	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
0.0ms	x	@	-inf	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))
0.0ms	x	@	0	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
0.0ms	x	@	-inf	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	219	9
2	2459	9

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	120
1	13	102
2	17	102

Stop Event

1×

saturated

Counts

83 → 66

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 841/108 x -4/29)
✓	0.1b	(/.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)
✓	18.9b	(/.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)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
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	@	-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)))

rewrite86.0ms (0.7%)

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 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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))))))

simplify67.0ms (0.5%)

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)

eval511.0ms (3.9%)

Compiler: Compiled 15206 to 11834 computations (22.2% saved)

prune77.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	571	4	575
Fresh	1	1	2
Picked	1	0	1
Done	2	3	5
Total	575	8	583

Error

Counts

583 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(*.f64 841/108 x)
	33.9b	4/29
✓	19.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	0.2b	(+.f64 (fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x -841/108 4/29)) (/.f64 x 1)))) (fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x -841/108 4/29))) (/.f64 x 1) (.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x -841/108 4/29)) (/.f64 x 1))))
▶	28.7b	(/.f64 1 (/.f64 108/841 x))
▶	0.7b	(+.f64 (fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (.f64 (/.f64 (.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))))) (fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (.f64 (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)))))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	48.4b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 161 to 129 computations (19.9% saved)

localize132.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29)))
✓	0.7b	(cbrt.f64 (fma.f64 x -841/108 4/29))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)
✓	47.8b	(fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (.f64 (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))))

Compiler

Compiled 235 to 189 computations (19.6% saved)

series26.0ms (0.2%)

Counts

4 → 22

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (.f64 (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)
2.0ms	x	@	0	(cbrt.f64 (fma.f64 x -841/108 4/29))
2.0ms	x	@	inf	(fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2)) (.f64 (/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29))) (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -841/108 4/29)) 2))))
1.0ms	x	@	inf	(/.f64 (*.f64 x 707281/11664) (cbrt.f64 (fma.f64 x -841/108 4/29)))

rewrite607.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
720×	`log-prod_binary64`
578×	`egg-rr`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	331	60
2	4323	60

Stop Event

1×	node limit

Counts

4 → 684

Calls

Call 1

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

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

simplify185.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

706×	`fma-def_binary64`
615×	`associate-r_binary64`
573×	`associate-l_binary64`
418×	`times-frac_binary64`
323×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1139
1	553	1105
2	1782	1023

Stop Event

1×	node limit

Counts

706 → 720

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -707281/11664 (*.f64 (cbrt.f64 841/16) (cbrt.f64 29/4))) 20511149/46656) (pow.f64 x 2))
(+.f64 (.f64 (+.f64 (.f64 -707281/11664 (.f64 (cbrt.f64 841/16) (cbrt.f64 29/4))) 20511149/46656) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -14507145975869/120932352 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 841/16) 2)) 1/3) (cbrt.f64 29/4))) (+.f64 500246412961/20155392 (.f64 -500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (cbrt.f64 841/16))))) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 12200509765705829/8707129344 (+.f64 (.f64 -707281/34992 (/.f64 (.f64 (-.f64 500246412961/995328 (.f64 420707233300201/35831808 (pow.f64 (/.f64 1 (cbrt.f64 841/16)) 1/3))) (cbrt.f64 29/4)) (pow.f64 (cbrt.f64 841/16) 2))) (+.f64 (.f64 -707281/34992 (/.f64 (.f64 (cbrt.f64 841/16) (-.f64 17249876309/746496 (.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3)))) (pow.f64 (cbrt.f64 29/4) 2))) (.f64 -10260628712958602189/626913312768 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 841/16) 2) (pow.f64 (cbrt.f64 29/4) 2))) 1/3))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -707281/11664 (.f64 (cbrt.f64 841/16) (cbrt.f64 29/4))) 20511149/46656) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -14507145975869/120932352 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 841/16) 2)) 1/3) (cbrt.f64 29/4))) (+.f64 500246412961/20155392 (.f64 -500246412961/60466176 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (cbrt.f64 841/16))))) (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 12200509765705829/8707129344 (+.f64 (.f64 -707281/34992 (/.f64 (.f64 (-.f64 500246412961/995328 (.f64 420707233300201/35831808 (pow.f64 (/.f64 1 (cbrt.f64 841/16)) 1/3))) (cbrt.f64 29/4)) (pow.f64 (cbrt.f64 841/16) 2))) (+.f64 (.f64 -707281/34992 (/.f64 (.f64 (cbrt.f64 841/16) (-.f64 17249876309/746496 (.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3)))) (pow.f64 (cbrt.f64 29/4) 2))) (.f64 -10260628712958602189/626913312768 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 841/16) 2) (pow.f64 (cbrt.f64 29/4) 2))) 1/3))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -707281/11664 (.f64 (cbrt.f64 841/16) (cbrt.f64 29/4))) 20511149/46656) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -14507145975869/120932352 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 841/16) 2)) 1/3) (cbrt.f64 29/4))) (+.f64 500246412961/20155392 (.f64 -500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (cbrt.f64 841/16))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -707281/34992 (/.f64 (.f64 (-.f64 12200509765705829/322486272 (+.f64 (.f64 20511149/5184 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 841/16) 5)) 1/3) (-.f64 500246412961/995328 (.f64 420707233300201/35831808 (pow.f64 (/.f64 1 (cbrt.f64 841/16)) 1/3))))) (.f64 8629188747598184440949/1114512556032 (/.f64 1 (pow.f64 (cbrt.f64 841/16) 2))))) (cbrt.f64 29/4)) (pow.f64 (cbrt.f64 841/16) 2))) (+.f64 297558232675799463481/3761479876608 (+.f64 (.f64 -500246412961/181398528 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (/.f64 (-.f64 500246412961/995328 (.f64 420707233300201/35831808 (pow.f64 (/.f64 1 (cbrt.f64 841/16)) 1/3))) (pow.f64 (cbrt.f64 841/16) 2)))) (+.f64 (.f64 -14507145975869/362797056 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 841/16) 2)) 1/3) (/.f64 (-.f64 17249876309/746496 (.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))) (pow.f64 (cbrt.f64 29/4) 2)))) (.f64 -707281/34992 (/.f64 (.f64 (-.f64 420707233300201/322486272 (+.f64 (.f64 353814783205469041/139314069504 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2))) (.f64 707281/2592 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 5)) 1/3) (-.f64 17249876309/746496 (.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))))))) (cbrt.f64 841/16)) (pow.f64 (cbrt.f64 29/4) 2))))))) (pow.f64 x 5)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(pow.f64 (cbrt.f64 4/29) 2)
(+.f64 (.f64 -841/162 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 4/29)) 1/3) x)) (pow.f64 (cbrt.f64 4/29) 2))
(+.f64 (.f64 -841/162 (.f64 (pow.f64 (.f64 1 (cbrt.f64 4/29)) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 4/29) 2) (.f64 (+.f64 (.f64 -707281/52488 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3)) (.f64 707281/104976 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3))) (pow.f64 x 2))))
(+.f64 (.f64 -841/162 (.f64 (pow.f64 (.f64 1 (cbrt.f64 4/29)) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 4/29) 2) (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 594823321/34012224 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))) (.f64 594823321/5668704 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))))) (cbrt.f64 4/29))) (.f64 17249876309/68024448 (pow.f64 1 1/3))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -707281/52488 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3)) (.f64 707281/104976 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3))) (pow.f64 x 2)))))
(cbrt.f64 4/29)
(+.f64 (.f64 -841/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) 1/3) x)) (cbrt.f64 4/29))
(+.f64 (.f64 -841/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) 1/3) x)) (+.f64 (.f64 -707281/104976 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 4/29)))
(+.f64 (.f64 -841/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 594823321/34012224 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))) (.f64 594823321/5668704 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 4/29) 2))) (+.f64 (.f64 -707281/104976 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 4/29))))
(.f64 707281/11664 (.f64 (cbrt.f64 29/4) x))
(+.f64 (.f64 500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (pow.f64 x 2))) (.f64 707281/11664 (.f64 (cbrt.f64 29/4) x)))
(+.f64 (.f64 500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 707281/11664 (.f64 (cbrt.f64 29/4) x)) (.f64 707281/34992 (/.f64 (.f64 (-.f64 17249876309/746496 (*.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 29/4) 2)))))
(+.f64 (.f64 500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 707281/34992 (/.f64 (.f64 (-.f64 420707233300201/322486272 (+.f64 (.f64 353814783205469041/139314069504 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2))) (.f64 707281/2592 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 5)) 1/3) (-.f64 17249876309/746496 (.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))))))) (pow.f64 x 4)) (pow.f64 (cbrt.f64 29/4) 2))) (+.f64 (.f64 707281/11664 (.f64 (cbrt.f64 29/4) x)) (.f64 707281/34992 (/.f64 (.f64 (-.f64 17249876309/746496 (*.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 29/4) 2))))))

Outputs
(.f64 (+.f64 (.f64 -707281/11664 (*.f64 (cbrt.f64 841/16) (cbrt.f64 29/4))) 20511149/46656) (pow.f64 x 2))
(.f64 (fma.f64 -707281/11664 (.f64 (cbrt.f64 841/16) (cbrt.f64 29/4)) 20511149/46656) (*.f64 x x))
(.f64 (fma.f64 (.f64 -707281/11664 (cbrt.f64 841/16)) (cbrt.f64 29/4) 20511149/46656) (*.f64 x x))
(.f64 (fma.f64 (cbrt.f64 841/16) (.f64 (cbrt.f64 29/4) -707281/11664) 20511149/46656) (*.f64 x x))
(+.f64 (.f64 (+.f64 (.f64 -707281/11664 (.f64 (cbrt.f64 841/16) (cbrt.f64 29/4))) 20511149/46656) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -14507145975869/120932352 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 841/16) 2)) 1/3) (cbrt.f64 29/4))) (+.f64 500246412961/20155392 (.f64 -500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (cbrt.f64 841/16))))) (pow.f64 x 3)))
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(fma.f64 -841/162 (*.f64 x (cbrt.f64 (cbrt.f64 4/29))) (pow.f64 (cbrt.f64 4/29) 2))
(fma.f64 x (*.f64 -841/162 (cbrt.f64 (cbrt.f64 4/29))) (pow.f64 (cbrt.f64 4/29) 2))
(+.f64 (.f64 -841/162 (.f64 (pow.f64 (.f64 1 (cbrt.f64 4/29)) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 4/29) 2) (.f64 (+.f64 (.f64 -707281/52488 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3)) (.f64 707281/104976 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3))) (pow.f64 x 2))))
(+.f64 (fma.f64 -841/162 (.f64 x (cbrt.f64 (cbrt.f64 4/29))) (pow.f64 (cbrt.f64 4/29) 2)) (.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4))) -707281/104976)))
(fma.f64 -841/162 (.f64 x (cbrt.f64 (cbrt.f64 4/29))) (fma.f64 (.f64 x x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4))) -707281/104976) (pow.f64 (cbrt.f64 4/29) 2)))
(fma.f64 (cbrt.f64 (/.f64 29/4 (cbrt.f64 4/29))) (.f64 -707281/104976 (.f64 x x)) (fma.f64 x (*.f64 -841/162 (cbrt.f64 (cbrt.f64 4/29))) (pow.f64 (cbrt.f64 4/29) 2)))
(+.f64 (.f64 -841/162 (.f64 (pow.f64 (.f64 1 (cbrt.f64 4/29)) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 4/29) 2) (+.f64 (.f64 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 594823321/34012224 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))) (.f64 594823321/5668704 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))))) (cbrt.f64 4/29))) (.f64 17249876309/68024448 (pow.f64 1 1/3))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -707281/52488 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3)) (.f64 707281/104976 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4)) 1/3))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -841/162 (.f64 x (cbrt.f64 (cbrt.f64 4/29))) (pow.f64 (cbrt.f64 4/29) 2)) (fma.f64 (fma.f64 2/3 (/.f64 (+.f64 (/.f64 594823321/34012224 (pow.f64 (cbrt.f64 4/29) 2)) (.f64 -594823321/5668704 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (cbrt.f64 4/29)) 17249876309/68024448) (pow.f64 x 3) (.f64 (.f64 x x) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4))) -707281/104976))))
(+.f64 (fma.f64 -841/162 (.f64 x (cbrt.f64 (cbrt.f64 4/29))) (pow.f64 (cbrt.f64 4/29) 2)) (fma.f64 (pow.f64 x 3) (fma.f64 2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) -2974116605/34012224) (cbrt.f64 4/29)) 17249876309/68024448) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 4))) (.f64 -707281/104976 (*.f64 x x)))))
(fma.f64 x (.f64 -841/162 (cbrt.f64 (cbrt.f64 4/29))) (fma.f64 x (.f64 x (*.f64 (cbrt.f64 (/.f64 29/4 (cbrt.f64 4/29))) -707281/104976)) (fma.f64 (pow.f64 x 3) -17249876309/102036672 (pow.f64 (cbrt.f64 4/29) 2))))
(cbrt.f64 4/29)
(+.f64 (.f64 -841/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) 1/3) x)) (cbrt.f64 4/29))
(fma.f64 -841/324 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (cbrt.f64 4/29))
(fma.f64 x (*.f64 -841/324 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (cbrt.f64 4/29))
(+.f64 (.f64 -841/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) 1/3) x)) (+.f64 (.f64 -707281/104976 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 4/29)))
(fma.f64 -841/324 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (fma.f64 -707281/104976 (.f64 (*.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)))) (cbrt.f64 4/29)))
(fma.f64 x (.f64 -841/324 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (fma.f64 (.f64 x x) (*.f64 -707281/104976 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)))) (cbrt.f64 4/29)))
(+.f64 (.f64 -841/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) 1/3) x)) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 594823321/34012224 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))) (.f64 594823321/5668704 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2))))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 4/29) 2))) (+.f64 (.f64 -707281/104976 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)) 1/3) (pow.f64 x 2))) (cbrt.f64 4/29))))
(fma.f64 -841/324 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (fma.f64 1/3 (/.f64 (+.f64 (/.f64 594823321/34012224 (pow.f64 (cbrt.f64 4/29) 2)) (.f64 -594823321/5668704 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (/.f64 (pow.f64 (cbrt.f64 4/29) 2) (pow.f64 x 3))) (fma.f64 -707281/104976 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)))) (cbrt.f64 4/29))))
(fma.f64 -841/324 (.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (fma.f64 1/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)) -2974116605/34012224) (/.f64 (pow.f64 (cbrt.f64 4/29) 2) (pow.f64 x 3))) (fma.f64 -707281/104976 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)))) (cbrt.f64 4/29))))
(+.f64 (fma.f64 x (.f64 -841/324 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 2)))) (cbrt.f64 4/29)) (fma.f64 (.f64 x x) (.f64 -707281/104976 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 4/29) 7)))) (.f64 (/.f64 (pow.f64 x 3) (cbrt.f64 4/29)) -86249381545/408146688)))
(.f64 707281/11664 (.f64 (cbrt.f64 29/4) x))
(.f64 (cbrt.f64 29/4) (.f64 x 707281/11664))
(.f64 (cbrt.f64 29/4) (.f64 707281/11664 x))
(+.f64 (.f64 500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (pow.f64 x 2))) (.f64 707281/11664 (.f64 (cbrt.f64 29/4) x)))
(fma.f64 500246412961/60466176 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)))) (.f64 707281/11664 (.f64 (cbrt.f64 29/4) x)))
(fma.f64 500246412961/60466176 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)))) (.f64 (cbrt.f64 29/4) (.f64 x 707281/11664)))
(.f64 x (+.f64 (.f64 (cbrt.f64 29/4) 707281/11664) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2))) (.f64 500246412961/60466176 x))))
(+.f64 (.f64 500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 707281/11664 (.f64 (cbrt.f64 29/4) x)) (.f64 707281/34992 (/.f64 (.f64 (-.f64 17249876309/746496 (*.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 29/4) 2)))))
(fma.f64 500246412961/60466176 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)))) (fma.f64 707281/11664 (.f64 (cbrt.f64 29/4) x) (.f64 707281/34992 (/.f64 (-.f64 17249876309/746496 (*.f64 500246412961/8957952 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))))) (/.f64 (pow.f64 (cbrt.f64 29/4) 2) (pow.f64 x 3))))))
(fma.f64 500246412961/60466176 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)))) (fma.f64 707281/34992 (/.f64 (+.f64 17249876309/746496 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))) -500246412961/8957952)) (/.f64 (pow.f64 (cbrt.f64 29/4) 2) (pow.f64 x 3))) (.f64 (cbrt.f64 29/4) (*.f64 x 707281/11664))))
(fma.f64 707281/34992 (.f64 (/.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))) -500246412961/8957952 17249876309/746496) (pow.f64 (cbrt.f64 29/4) 2)) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 (cbrt.f64 29/4) 707281/11664) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2))) (*.f64 500246412961/60466176 x)))))
(+.f64 (.f64 500246412961/60466176 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 707281/34992 (/.f64 (.f64 (-.f64 420707233300201/322486272 (+.f64 (.f64 353814783205469041/139314069504 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2))) (.f64 707281/2592 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 5)) 1/3) (-.f64 17249876309/746496 (.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))))))) (pow.f64 x 4)) (pow.f64 (cbrt.f64 29/4) 2))) (+.f64 (.f64 707281/11664 (.f64 (cbrt.f64 29/4) x)) (.f64 707281/34992 (/.f64 (.f64 (-.f64 17249876309/746496 (*.f64 500246412961/8957952 (pow.f64 (/.f64 1 (cbrt.f64 29/4)) 1/3))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 29/4) 2))))))
(fma.f64 500246412961/60466176 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)))) (fma.f64 707281/34992 (/.f64 (-.f64 420707233300201/322486272 (+.f64 (/.f64 353814783205469041/139314069504 (pow.f64 (cbrt.f64 29/4) 2)) (.f64 707281/2592 (.f64 (-.f64 17249876309/746496 (.f64 500246412961/8957952 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 5))))))) (/.f64 (pow.f64 (cbrt.f64 29/4) 2) (pow.f64 x 4))) (fma.f64 707281/11664 (.f64 (cbrt.f64 29/4) x) (.f64 707281/34992 (/.f64 (-.f64 17249876309/746496 (.f64 500246412961/8957952 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))))) (/.f64 (pow.f64 (cbrt.f64 29/4) 2) (pow.f64 x 3)))))))
(fma.f64 500246412961/60466176 (.f64 (.f64 x x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2)))) (fma.f64 707281/34992 (/.f64 (-.f64 420707233300201/322486272 (fma.f64 707281/2592 (.f64 (+.f64 17249876309/746496 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))) -500246412961/8957952)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 5)))) (/.f64 353814783205469041/139314069504 (pow.f64 (cbrt.f64 29/4) 2)))) (/.f64 (pow.f64 (cbrt.f64 29/4) 2) (pow.f64 x 4))) (fma.f64 707281/34992 (/.f64 (+.f64 17249876309/746496 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))) -500246412961/8957952)) (/.f64 (pow.f64 (cbrt.f64 29/4) 2) (pow.f64 x 3))) (.f64 (cbrt.f64 29/4) (*.f64 x 707281/11664)))))
(fma.f64 (.f64 x x) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 2))) 500246412961/60466176) (fma.f64 (cbrt.f64 29/4) (.f64 x 707281/11664) (.f64 (/.f64 707281/34992 (cbrt.f64 29/4)) (+.f64 (/.f64 (pow.f64 x 3) (/.f64 (cbrt.f64 29/4) (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))) -500246412961/8957952 17249876309/746496))) (/.f64 (pow.f64 x 4) (/.f64 (cbrt.f64 29/4) (-.f64 420707233300201/322486272 (fma.f64 (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 29/4))) -500246412961/8957952 17249876309/746496) (*.f64 707281/2592 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 29/4) 5)))) (/.f64 353814783205469041/139314069504 (pow.f64 (cbrt.f64 29/4) 2))))))))))

localize144.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x -841/108 4/29)) (/.f64 x 1))
✓	0.3b	(/.f64 (*.f64 x 707281/11664) (fma.f64 x -841/108 4/29))
✓	0.3b	(/.f64 16/841 (fma.f64 x -841/108 4/29))
✓	47.8b	(fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x -841/108 4/29))) (/.f64 x 1) (.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x -841/108 4/29)) (/.f64 x 1)))

Compiler

Compiled 158 to 123 computations (22.2% saved)

series33.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x -841/108 4/29))) (/.f64 x 1) (.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x -841/108 4/29)) (/.f64 x 1)))
8.0ms	x	@	-inf	(/.f64 (*.f64 x 707281/11664) (fma.f64 x -841/108 4/29))
8.0ms	x	@	inf	(fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x -841/108 4/29))) (/.f64 x 1) (.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x -841/108 4/29)) (/.f64 x 1)))
5.0ms	x	@	-inf	(fma.f64 (neg.f64 (/.f64 (.f64 x 707281/11664) (fma.f64 x -841/108 4/29))) (/.f64 x 1) (.f64 (/.f64 (*.f64 x 707281/11664) (fma.f64 x -841/108 4/29)) (/.f64 x 1)))
0.0ms	x	@	inf	(/.f64 16/841 (fma.f64 x -841/108 4/29))

rewrite211.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`prod-diff_binary64`
610×	`log-prod_binary64`
332×	`egg-rr`
227×	`pow1/3_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	63
1	329	60
2	3799	58

Stop Event

1×	node limit

Counts

4 → 487

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 x 707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)) (/.f64 (.f64 x 707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (.f64 x (fma.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (fma.f64 (neg.f64 x) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) (/.f64 (.f64 x 707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (fma.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29)) (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))))) (fma.f64 (neg.f64 (pow.f64 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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 x 3) (pow.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x (/.f64 707281/11664 (fma.f64 x -841/108 4/29))) 3) (pow.f64 x 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))))))

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

802×	`times-frac_binary64`
405×	`sub-neg_binary64`
389×	`fma-def_binary64`
333×	`fma-neg_binary64`
329×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	525
1	235	499
2	662	491
3	2120	486
4	5367	486

Stop Event

1×	node limit

Counts

535 → 533

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
4/29
(+.f64 4/29 (*.f64 841/108 x))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (.f64 20511149/46656 (pow.f64 x 2))))
(+.f64 4/29 (+.f64 (.f64 841/108 x) (+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (*.f64 500246412961/20155392 (pow.f64 x 3)))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 -1728/707281 x)
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (.f64 1728/707281 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (*.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 139314069504/10260628712958602189 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1728/707281 (/.f64 1 x)) (.f64 322486272/420707233300201 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 20511149/46656 x)
(+.f64 (.f64 20511149/46656 x) (.f64 500246412961/20155392 (pow.f64 x 2)))
(+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 20511149/46656 x) (*.f64 500246412961/20155392 (pow.f64 x 2))))
(+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 4)) (+.f64 (.f64 12200509765705829/8707129344 (pow.f64 x 3)) (+.f64 (.f64 20511149/46656 x) (.f64 500246412961/20155392 (pow.f64 x 2)))))
-841/108
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x))))))
-841/108
(neg.f64 (+.f64 841/108 (*.f64 4/29 (/.f64 1 x))))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (.f64 4/29 (/.f64 1 x)))))
(neg.f64 (+.f64 (.f64 1728/707281 (/.f64 1 (pow.f64 x 2))) (+.f64 841/108 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 3))) (*.f64 4/29 (/.f64 1 x))))))
(*.f64 20511149/46656 (pow.f64 x 2))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (.f64 500246412961/20155392 (pow.f64 x 3)))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (*.f64 12200509765705829/8707129344 (pow.f64 x 4))))
(+.f64 (.f64 20511149/46656 (pow.f64 x 2)) (+.f64 (.f64 500246412961/20155392 (pow.f64 x 3)) (+.f64 (.f64 297558232675799463481/3761479876608 (pow.f64 x 5)) (.f64 12200509765705829/8707129344 (pow.f64 x 4)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))
(*.f64 -841/108 x)
(-.f64 (*.f64 -841/108 x) 4/29)
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (.f64 1728/707281 (/.f64 1 x))))
(-.f64 (.f64 -841/108 x) (+.f64 4/29 (+.f64 (.f64 746496/17249876309 (/.f64 1 (pow.f64 x 2))) (*.f64 1728/707281 (/.f64 1 x)))))

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

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

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)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x -707281/11664))
✓	0.1b	(*.f64 x -707281/11664)
	0.2b	(*.f64 841/108 x)
✓	18.5b	(/.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%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (0.6%)

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

simplify101.0ms (0.8%)

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))

eval7.5s (57.1%)

Compiler: Compiled 164795 to 131824 computations (20% saved)

prune513.0ms (3.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	2024	1	2025
Fresh	0	1	1
Picked	0	1	1
Done	2	4	6
Total	2026	7	2033

Error

Counts

2033 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(*.f64 841/108 x)
	33.9b	4/29
▶	28.9b	(.f64 x (/.f64 1 (.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x))))
✓	48.4b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	28.7b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	19.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 57 to 45 computations (21.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (/.f64 1 (.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x))))
✓	0.2b	(/.f64 (fma.f64 x -841/108 4/29) x)
✓	0.3b	(*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x))
✓	0.7b	(/.f64 1 (*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

series18.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
14.0ms	x	@	0	(*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x))
1.0ms	x	@	inf	(*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x))
0.0ms	x	@	0	(/.f64 1 (*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x)))
0.0ms	x	@	inf	(/.f64 1 (*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x)))
0.0ms	x	@	-inf	(*.f64 -11664/707281 (/.f64 (fma.f64 x -841/108 4/29) x))

rewrite116.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
410×	`exp-prod_binary64`
274×	`pow2_binary64`
263×	`pow-prod-down_binary64`
194×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	236	44
2	2884	44

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -707281/11664) (/.f64 x (fma.f64 x -841/108 4/29)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -707281/11664) (/.f64 x (fma.f64 x -841/108 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -707281/11664) (/.f64 x (fma.f64 x -841/108 4/29))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -707281/11664) (/.f64 x (fma.f64 x -841/108 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)) (pow.f64 (cbrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)) 2) (cbrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)) (sqrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 11664/707281)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -707281/11664 (/.f64 x (fma.f64 x -841/108 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) -2) (cbrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 -11664/707281 (fma.f64 x -841/108 4/29))) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -707281/11664 (fma.f64 x -841/108 4/29)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -707281/11664 (neg.f64 (fma.f64 x -841/108 4/29))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 11664/707281)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)))) (sqrt.f64 (log.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -707281/11664) (/.f64 x (fma.f64 x -841/108 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 x (fma.f64 x 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x (pow.f64 (cbrt.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 2)) (cbrt.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -707281/11664 x) (/.f64 (fma.f64 x -841/108 4/29) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1) (.f64 (/.f64 (fma.f64 x -841/108 4/29) x) 11664/707281))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))) 2)) (cbrt.f64 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))))) (sqrt.f64 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (.f64 (/.f64 x (fma.f64 x -841/108 4/29)) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 x) 1) (log.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (.f64 (log.f64 (/.f64 (.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (/.f64 (*.f64 -11664/707281 (fma.f64 x -841/108 4/29)) x)) 1)))))))

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

707×	`distribute-lft-out_binary64`
679×	`fma-def_binary64`
363×	`distribute-rgt-in_binary64`
345×	`associate-/r*_binary64`
341×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	448
1	173	444
2	395	439
3	1014	422
4	2775	422
5	5535	422
6	6371	422
7	6907	422
8	7990	422

Stop Event

1×	node limit

Counts

232 → 222

Calls

Call 1

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

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

eval88.0ms (0.7%)

Compiler: Compiled 3393 to 2630 computations (22.5% saved)

prune34.0ms (0.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	220	2	222
Fresh	0	1	1
Picked	1	0	1
Done	2	3	5
Total	223	6	229

Error

Counts

229 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(*.f64 841/108 x)
	33.9b	4/29
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	19.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
	0.1b	(*.f64 x (+.f64 841/108 (/.f64 4/29 x)))
	28.8b	(*.f64 x (/.f64 1 108/841))

Compiler

Compiled 40 to 32 computations (20% saved)

regimes87.0ms (0.7%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	(*.f64 (/.f64 841 108) x)
17.0ms	x
16.0ms	(*.f64 (/.f64 841 108) x)
14.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
12.0ms	(+.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 259 to 206 computations (20.5% saved)

regimes94.0ms (0.7%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

16.0ms	(*.f64 (/.f64 841 108) x)
12.0ms	(*.f64 (/.f64 841 108) x)
9.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
6.0ms	x
4.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

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

Compiler

Compiled 94 to 76 computations (19.1% saved)

regimes31.0ms (0.2%)

Accuracy

Total -61.1b remaining (-9082.7%)

Threshold costs -61.1b (-9082.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.297661538558788e-13	144435.38971176354
17.0ms	-121844.2349791302	-3.2803432052842904e-18

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify5.0ms (0%)

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 -8373072071064055/68719476736) (.f64 841/108 x) (if (<=.f64 x 5246549866531291/9903520314283042199192993792) 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 -8373072071064055/68719476736) (.f64 841/108 x) (if (<=.f64 x 5246549866531291/9903520314283042199192993792) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 31 to 27 computations (12.9% saved)

end105.0ms (0.8%)

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

Details

analyze3.0ms (0%)

sample1.1s (8.4%)

preprocess20.0ms (0.2%)

simplify7.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series7.0ms (0.1%)

rewrite73.0ms (0.6%)

simplify10.0ms (0.1%)

localize4.0ms (0%)

series6.0ms (0%)

rewrite56.0ms (0.4%)

simplify8.0ms (0.1%)

eval26.0ms (0.2%)

prune16.0ms (0.1%)

localize6.0ms (0%)

series2.0ms (0%)

rewrite63.0ms (0.5%)

simplify9.0ms (0.1%)

localize3.0ms (0%)

localize22.0ms (0.2%)

series4.0ms (0%)

rewrite163.0ms (1.2%)

simplify175.0ms (1.3%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite62.0ms (0.5%)

simplify10.0ms (0.1%)

localize21.0ms (0.2%)

series5.0ms (0%)

rewrite86.0ms (0.7%)

simplify67.0ms (0.5%)

eval511.0ms (3.9%)

prune77.0ms (0.6%)

localize132.0ms (1%)

series26.0ms (0.2%)

rewrite607.0ms (4.6%)

simplify185.0ms (1.4%)

localize144.0ms (1.1%)

series33.0ms (0.3%)

rewrite211.0ms (1.6%)

simplify83.0ms (0.6%)

localize6.0ms (0%)

series2.0ms (0%)

rewrite56.0ms (0.4%)

simplify8.0ms (0.1%)

localize18.0ms (0.1%)

series4.0ms (0%)

rewrite73.0ms (0.6%)

simplify101.0ms (0.8%)

eval7.5s (57.1%)

prune513.0ms (3.9%)

localize20.0ms (0.2%)

series18.0ms (0.1%)

rewrite116.0ms (0.9%)

simplify117.0ms (0.9%)

eval88.0ms (0.7%)

prune34.0ms (0.3%)

regimes87.0ms (0.7%)

regimes94.0ms (0.7%)

regimes31.0ms (0.2%)

bsearch35.0ms (0.3%)

simplify5.0ms (0%)

soundness8.0ms (0.1%)

end105.0ms (0.8%)

Profiling