Details

analyze3.0ms (0.1%)

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)

sample1.6s (25.3%)

Results

1.6s	8255×	body	256	valid
1.0ms	7×	body	256	invalid
0.0ms	1×	body	1024	valid

preprocess31.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(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)

localize61.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (1.3%)

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)))))

simplify18.0ms (0.3%)

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)

localize35.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 6 computations (25% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.9%)

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)))))))

simplify52.0ms (0.8%)

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)

eval39.0ms (0.6%)

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

prune82.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	64	9	73
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	65	10	75

Error

0.0b

Counts

75 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	4/29
	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) (/.f64 4 29))
▶	16.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
▶	16.6b	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
	25.3b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
✓	0.1b	(fma.f64 841/108 x 4/29)
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	30.1b	(*.f64 841/108 x)
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3) (/.f64 4 29))
▶	16.2b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 179 to 148 computations (17.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite124.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

55 → 46

Calls

Call 1

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

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

localize148.0ms (2.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	15.1b	(/.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)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite218.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	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)))))

simplify209.0ms (3.3%)

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)

localize40.0ms (0.6%)

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)
✓	15.5b	(/.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)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite92.0ms (1.4%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -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))))))

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

163 → 149

Calls

Call 1

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

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

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 707281/11664)) (cbrt.f64 (*.f64 841/108 x)) 4/29)
	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	0.6b	(cbrt.f64 (*.f64 841/108 x))
✓	27.8b	(cbrt.f64 (.f64 (.f64 x x) 707281/11664))

Compiler

Compiled 38 to 23 computations (39.5% saved)

series7.0ms (0.1%)

Counts

3 → 3

Calls

9 calls:

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

rewrite65.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

849×	`pow1_binary64`
793×	`add-log-exp_binary64`
793×	`log1p-expm1-u_binary64`
793×	`expm1-log1p-u_binary64`
776×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	220	22
2	2395	22

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 x 841/108))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 841/108) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 841/108) 1/6) (pow.f64 (*.f64 x 841/108) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 500246412961/136048896)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (sqrt.f64 (cbrt.f64 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 841/108)) 1/3) (pow.f64 (sqrt.f64 (*.f64 x 841/108)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 707281/11664) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 841/108) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 841/108)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 x 841/108))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 841/108) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 841/108)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (*.f64 x 841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 x 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 x 841/108))))))))

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	3

Stop Event

1×

saturated

Counts

75 → 73

Calls

Call 1

Inputs
4/29
4/29
4/29

Outputs
4/29
4/29
4/29

eval365.0ms (5.7%)

Compiler: Compiled 15588 to 12086 computations (22.5% saved)

prune89.0ms (1.4%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	575	7	582
Fresh	3	1	4
Picked	1	0	1
Done	2	3	5
Total	581	11	592

Error

Counts

592 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
▶	46.0b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
	33.4b	4/29
✓	16.2b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
	31.7b	(fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)
	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))))
▶	25.3b	(+.f64 (sqrt.f64 (.f64 (.f64 x x) 707281/11664)) (/.f64 4 29))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.1b	(*.f64 841/108 x)
▶	30.2b	(/.f64 1 (/.f64 108/841 x))
▶	16.2b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 246 to 195 computations (20.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 841/108 x))
✓	0.0b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
	0.1b	(*.f64 841/108 x)
✓	2.3b	(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series4.0ms (0.1%)

Counts

3 → 27

Calls

9 calls:

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

rewrite86.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`prod-diff_binary64`
523×	`unpow-prod-down_binary64`
483×	`fma-def_binary64`
356×	`log-prod_binary64`
295×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	210	16
2	2908	14

Stop Event

1×	node limit

Counts

3 → 230

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 841/108 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 841/108 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 841/108 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 841/108 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 841/108 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 841/108 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 841/108) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 841/108) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 841/108 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 841/108)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (cbrt.f64 841/108) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (sqrt.f64 841/108) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 594823321/1259712 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 707281/11664 (*.f64 x x))) (cbrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (*.f64 (cbrt.f64 x) 841/108) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 x) 841/108) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (fma.f64 841/108 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (fma.f64 841/108 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) (/.f64 1 (fma.f64 841/108 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 841/108 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) 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(-.f64 1 (*.f64 707281/11664 (*.f64 x x))) (/.f64 1 (+.f64 1 (*.f64 -841/108 x))) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)))))

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	129
1	11	111
2	13	111

Stop Event

1×

saturated

Counts

257 → 233

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.2%)

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)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 x (.f64 x -707281/11664))
✓	0.2b	(*.f64 x -707281/11664)
✓	15.2b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite85.0ms (1.3%)

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))))))

simplify110.0ms (1.7%)

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))

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 841/108 x)
✓	0.2b	(.f64 x (.f64 x 707281/11664))
✓	0.2b	(*.f64 x 707281/11664)
✓	15.1b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 31 computations (26.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite156.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log-prod_binary64`
573×	`prod-diff_binary64`
251×	`fma-def_binary64`
229×	`pow1/3_binary64`
229×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	279	18
2	3799	16

Stop Event

1×	node limit

Counts

3 → 212

Calls

Call 1

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

Outputs

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simplify231.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	204
1	20	186
2	31	186
3	54	186
4	129	186
5	408	186
6	1485	186
7	2382	186
8	2546	186
9	2759	186
10	2979	186
11	3285	186
12	3687	186
13	4180	186
14	4746	186
15	5430	186
16	6269	186
17	6661	186
18	6949	186
19	7227	186
20	7299	186
21	7335	186

Stop Event

1×	node limit

Counts

248 → 219

Calls

Call 1

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

localize23.0ms (0.4%)

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)
✓	27.0b	(sqrt.f64 (.f64 (.f64 x x) 707281/11664))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite118.0ms (1.8%)

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)))))

simplify17.0ms (0.3%)

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)

eval684.0ms (10.6%)

Compiler: Compiled 16745 to 13255 computations (20.8% saved)

prune104.0ms (1.6%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	734	3	737
Fresh	3	0	3
Picked	1	0	1
Done	0	7	7
Total	738	10	748

Error

Counts

748 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
✓	46.0b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	0.3b	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) 4/29)
✓	16.2b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
▶	16.2b	(+.f64 (-.f64 (.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x)))) 1) 4/29)
	33.4b	4/29
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.1b	(*.f64 841/108 x)
✓	30.2b	(/.f64 1 (/.f64 108/841 x))
✓	16.2b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 96 to 79 computations (17.7% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) 4/29)
✓	0.1b	(*.f64 (pow.f64 594823321/1259712 1/3) x)
✓	1.0b	(pow.f64 594823321/1259712 1/3)

Compiler

Compiled 20 to 17 computations (15% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 (pow.f64 594823321/1259712 1/3) x)
1.0ms	x	@	-inf	(*.f64 (pow.f64 594823321/1259712 1/3) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 594823321/1259712 1/3) x)
0.0ms	x	@	0	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) 4/29)
0.0ms	x	@	inf	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) 4/29)

rewrite68.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`pow1_binary64`
756×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	181	16
2	2018	16

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs
(pow.f64 594823321/1259712 1/3)
(*.f64 (pow.f64 594823321/1259712 1/3) x)
(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) 4/29)

Outputs

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

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

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	166
1	9	148
2	11	148

Stop Event

1×

saturated

Counts

81 → 60

Calls

Call 1

Inputs
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
4/29
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))

Outputs
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
(*.f64 (cbrt.f64 594823321/1259712) x)
4/29
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(*.f64 (cbrt.f64 594823321/1259712) x)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)
(+.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))
(+.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)
(fma.f64 (cbrt.f64 594823321/1259712) x 4/29)

localize32.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -841/108 x)
✓	0.2b	(.f64 707281/11664 (.f64 x x))
✓	2.3b	(-.f64 (.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x)))) 1)
✓	15.0b	(.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x))))

Compiler

Compiled 87 to 63 computations (27.6% saved)

series10.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(-.f64 (.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x)))) 1)
2.0ms	x	@	inf	(-.f64 (.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x)))) 1)
1.0ms	x	@	0	(-.f64 (.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x)))) 1)
1.0ms	x	@	0	(.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x))))
0.0ms	x	@	inf	(.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x))))

rewrite113.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`fma-def_binary64`
555×	`log-prod_binary64`
312×	`fma-neg_binary64`
293×	`pow2_binary64`
211×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	70
1	298	20
2	4180	20

Stop Event

1×	node limit

Counts

4 → 284

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 -1 (.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 x) -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (cbrt.f64 (.f64 x (.f64 707281/11664 x)))) (cbrt.f64 (.f64 x -841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (sqrt.f64 (.f64 x -841/108))) (sqrt.f64 (.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 (/.f64 1 (fma.f64 x -841/108 1)) (.f64 (.f64 (.f64 x x) -707281/11664) (/.f64 1 (fma.f64 x -841/108 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (fma.f64 x -841/108 1)) (.f64 (/.f64 1 (fma.f64 x -841/108 1)) (.f64 (.f64 x x) -707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify183.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	204
1	19	186
2	30	186
3	55	186
4	133	186
5	398	186
6	1472	186
7	2367	186
8	2531	186
9	2744	186
10	2964	186
11	3269	186
12	3671	186
13	4162	186
14	4728	186
15	5414	186
16	6247	186
17	6639	186
18	6925	186
19	7203	186
20	7273	186
21	7307	186

Stop Event

1×	node limit

Counts

320 → 229

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(*.f64 841/108 x)
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(+.f64 1 (*.f64 841/108 x))
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 x 2))
(*.f64 707281/11664 (pow.f64 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
1
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(*.f64 841/108 x)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(*.f64 841/108 x)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(+.f64 1 (*.f64 841/108 x))
(fma.f64 841/108 x 1)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))
(*.f64 707281/11664 (pow.f64 x 2))
(.f64 707281/11664 (.f64 x x))
(.f64 x (.f64 x 707281/11664))

eval244.0ms (3.8%)

Compiler: Compiled 5144 to 4281 computations (16.8% saved)

prune42.0ms (0.7%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	288	1	289
Fresh	1	0	1
Picked	0	1	1
Done	0	8	8
Total	289	10	299

Error

Counts

299 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) 4/29)
✓	46.0b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	0.3b	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) 4/29)
✓	16.2b	(/.f64 (-.f64 16/841 (.f64 x (.f64 x 707281/11664))) (-.f64 4/29 (*.f64 841/108 x)))
	33.4b	4/29
✓	16.2b	(+.f64 (-.f64 (.f64 (-.f64 1 (.f64 707281/11664 (.f64 x x))) (/.f64 1 (+.f64 1 (.f64 -841/108 x)))) 1) 4/29)
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	30.1b	(*.f64 841/108 x)
✓	30.2b	(/.f64 1 (/.f64 108/841 x))
✓	16.2b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 96 to 79 computations (17.7% saved)

regimes94.0ms (1.5%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	(*.f64 (/.f64 841 108) x)
12.0ms	x
12.0ms	(*.f64 (/.f64 841 108) x)
8.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
8.0ms	(+.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 249 to 198 computations (20.5% saved)

regimes56.0ms (0.9%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

54.0ms

Results

Error	Segments	Branch
1.9b	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	5.1071620072706165e-8	0.021398597363671983
16.0ms	-0.602516291185853	-2.750558334686169e-11

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Calls

Call 1

Inputs
4/29
4/29
4/29
4/29

Outputs
4/29

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
33.4b	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	15	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -11114463823746093056/18446744073709551616) (.f64 841/108 x) (if (<=.f64 x 3858862509715203/75557863725914323419136) 4/29 (.f64 841/108 x)))
4/29

Outputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -11114463823746093056/18446744073709551616) (.f64 841/108 x) (if (<=.f64 x 3858862509715203/75557863725914323419136) 4/29 (.f64 841/108 x)))
(if (<=.f64 x -2713492144469261/4503599627370496) (.f64 841/108 x) (if (<=.f64 x 3858862509715203/75557863725914323419136) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 31 to 27 computations (12.9% saved)

end83.0ms (1.3%)

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

Details

analyze3.0ms (0.1%)

sample1.6s (25.3%)

preprocess31.0ms (0.5%)

simplify12.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize61.0ms (0.9%)

series5.0ms (0.1%)

rewrite82.0ms (1.3%)

simplify18.0ms (0.3%)

localize35.0ms (0.5%)

series3.0ms (0%)

rewrite60.0ms (0.9%)

simplify52.0ms (0.8%)

eval39.0ms (0.6%)

prune82.0ms (1.3%)

localize10.0ms (0.2%)

series3.0ms (0%)

rewrite124.0ms (1.9%)

simplify14.0ms (0.2%)

localize148.0ms (2.3%)

localize39.0ms (0.6%)

series8.0ms (0.1%)

rewrite218.0ms (3.4%)

simplify209.0ms (3.3%)

localize40.0ms (0.6%)

series9.0ms (0.1%)

rewrite92.0ms (1.4%)

simplify61.0ms (1%)

localize18.0ms (0.3%)

series7.0ms (0.1%)

rewrite65.0ms (1%)

simplify10.0ms (0.2%)

eval365.0ms (5.7%)

prune89.0ms (1.4%)

localize13.0ms (0.2%)

series4.0ms (0.1%)

rewrite86.0ms (1.3%)

simplify14.0ms (0.2%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite60.0ms (0.9%)

simplify12.0ms (0.2%)

localize13.0ms (0.2%)

series4.0ms (0.1%)

rewrite85.0ms (1.3%)

simplify110.0ms (1.7%)

localize31.0ms (0.5%)

series3.0ms (0%)

rewrite156.0ms (2.4%)

simplify231.0ms (3.6%)

localize23.0ms (0.4%)

series3.0ms (0%)

rewrite118.0ms (1.8%)

simplify17.0ms (0.3%)

eval684.0ms (10.6%)

prune104.0ms (1.6%)

localize16.0ms (0.2%)

series4.0ms (0.1%)

rewrite68.0ms (1.1%)

simplify11.0ms (0.2%)

localize32.0ms (0.5%)

series10.0ms (0.2%)

rewrite113.0ms (1.8%)

simplify183.0ms (2.8%)

eval244.0ms (3.8%)

prune42.0ms (0.7%)

regimes94.0ms (1.5%)

regimes56.0ms (0.9%)

bsearch34.0ms (0.5%)

regimes5.0ms (0.1%)

simplify4.0ms (0.1%)

soundness8.0ms (0.1%)

end83.0ms (1.3%)

Profiling