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)

sample1.3s (30%)

Results

1.3s	8249×	body	256	valid
1.0ms	4×	body	512	valid
1.0ms	3×	body	1024	valid
0.0ms	3×	body	256	invalid

preprocess19.0ms (0.4%)

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)

simplify9.0ms (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)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 15 to 13 computations (13.3% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

67 → 46

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 6 computations (25% saved)

series18.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(fma.f64 841/108 x 4/29)
1.0ms	x	@	-inf	(fma.f64 841/108 x 4/29)
0.0ms	x	@	0	(fma.f64 841/108 x 4/29)

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

36 → 27

Calls

Call 1

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

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

eval23.0ms (0.5%)

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

prune14.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	5	73
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	70	5	75

Error

0.0b

Counts

75 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
▶	32.9b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
▶	31.6b	(*.f64 841/108 x)
▶	14.4b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
	32.2b	4/29

Compiler

Compiled 37 to 31 computations (16.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 841/108 x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 841/108 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 841/216)) (log.f64 (pow.f64 (exp.f64 x) 841/216)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/54))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 841/108))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 841/108 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (+.f64 1 (*.f64 841/108 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 841/108 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 841/108 x)) (+.f64 1 (*.f64 841/108 x))) 1) (+.f64 (+.f64 1 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 841/108 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 841/108 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 594823321/1259712) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 841/108 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 841/108 x)))) (sqrt.f64 (log.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 841/108 x))) 2)) (cbrt.f64 (log.f64 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 841/108 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 841/108 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 841/108 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 841/108 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 841/108 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 841/108 x))) 2))))))

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite61.0ms (1.4%)

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	5
1	133	5
2	1587	5

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify8.0ms (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

44 → 35

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)

localize43.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))
✓	0.1b	(sqrt.f64 (*.f64 841/108 x))
	0.2b	(*.f64 841/108 x)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)

Compiler

Compiled 32 to 27 computations (15.6% saved)

series8.0ms (0.2%)

Counts

3 → 1

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (*.f64 841/108 x))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
1.0ms	x	@	inf	(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

rewrite73.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
863×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
850×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	240	15
2	2350	15

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

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

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1

Stop Event

1×

saturated

Counts

80 → 80

Calls

Call 1

Inputs
4/29

Outputs
4/29

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
	0.2b	(*.f64 841/108 x)
✓	0.2b	(.f64 (.f64 x x) 707281/11664)
✓	13.4b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite128.0ms (2.9%)

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 4/29 (*.f64 x 841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))))) (sqrt.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 707281/11664 (sqrt.f64 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 841/108 4/29) (fma.f64 (neg.f64 (/.f64 (*.f64 x 841/108) (sqrt.f64 (fma.f64 x -841/108 4/29)))) (/.f64 (*.f64 x 841/108) (sqrt.f64 (fma.f64 x -841/108 4/29))) (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (*.f64 707281/11664 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x 841/108 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 16/841 (/.f64 1 (fma.f64 x -841/108 4/29)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 16/841 (fma.f64 x -841/108 4/29)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29)))) (cbrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (sqrt.f64 (/.f64 16/841 (fma.f64 x -841/108 4/29))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x -841/108 4/29))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) 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(#(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)))))

simplify178.0ms (4%)

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)

eval483.0ms (10.8%)

Compiler: Compiled 13287 to 10374 computations (21.9% saved)

prune67.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	466	5	471
Fresh	1	0	1
Picked	0	1	1
Done	1	2	3
Total	468	8	476

Error

Counts

476 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
	32.2b	4/29
▶	45.8b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	31.6b	(*.f64 841/108 x)
▶	0.1b	(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
✓	14.4b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	48.2b	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)

Compiler

Compiled 65 to 54 computations (16.9% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
✓	0.2b	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
✓	1.0b	(pow.f64 (sqrt.f64 841/108) 2)

Compiler

Compiled 31 to 28 computations (9.7% saved)

series3.0ms (0.1%)

Counts

3 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
1.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
0.0ms	x	@	-inf	(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
0.0ms	x	@	0	(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
0.0ms	x	@	inf	(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))

rewrite106.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`pow1_binary64`
851×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
839×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	10
1	241	10
2	2304	10

Stop Event

1×	node limit

Counts

3 → 44

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 841/108) 2)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 841/108)))))

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

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

simplify158.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1858×	`unswap-sqr_binary64`
1116×	`sqr-pow_binary64`
531×	`fabs-mul_binary64`
530×	`cube-prod_binary64`
519×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	127
1	16	54
2	30	54
3	49	54
4	97	54
5	274	54
6	962	54
7	1422	54
8	1571	54
9	1726	54
10	1903	54
11	2156	54
12	2505	54
13	2910	54
14	3371	54
15	3929	54
16	4612	54
17	5052	54
18	5298	54
19	5530	54
20	5586	54
21	5608	54
22	6159	54

Stop Event

1×	node limit

Counts

56 → 48

Calls

Call 1

Inputs
4/29
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))

Outputs
4/29
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(*.f64 (pow.f64 (sqrt.f64 841/108) 2) x)
(*.f64 841/108 x)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)
(+.f64 4/29 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x))
(fma.f64 841/108 x 4/29)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x -707281/11664))
✓	0.1b	(*.f64 x -707281/11664)
	0.2b	(*.f64 841/108 x)
✓	13.5b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))

Compiler

Compiled 32 to 23 computations (28.1% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (2.1%)

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

simplify106.0ms (2.4%)

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))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 841/108 x))
	0.2b	(*.f64 841/108 x)
	0.3b	(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

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

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

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

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
744×	`distribute-neg-frac_binary64`
698×	`associate-r_binary64`
417×	`times-frac_binary64`
289×	`associate-/l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	327
1	108	289
2	257	285
3	671	279
4	1985	276
5	6898	276

Stop Event

1×	node limit

Counts

119 → 73

Calls

Call 1

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

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

eval131.0ms (2.9%)

Compiler: Compiled 4185 to 3372 computations (19.4% saved)

prune70.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	336	4	340
Fresh	1	0	1
Picked	1	0	1
Done	2	4	6
Total	340	8	348

Error

Counts

348 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.6b	(+.f64 0 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)))
▶	31.7b	(pow.f64 (/.f64 108/841 x) -1)
✓	45.8b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.6b	(*.f64 841/108 x)
	32.2b	4/29
✓	14.4b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	31.6b	(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x -707281/11664))

Compiler

Compiled 68 to 53 computations (22.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite85.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`pow1_binary64`
892×	`add-log-exp_binary64`
892×	`log1p-expm1-u_binary64`
892×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	193	27
2	2349	27

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

Outputs

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

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

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

simplify57.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
485×	`associate-/r*_binary64`
426×	`distribute-lft-out_binary64`
418×	`*-commutative_binary64`
319×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	376
1	190	360
2	476	355
3	1352	340
4	3918	340

Stop Event

1×	node limit

Counts

114 → 115

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

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 41 to 30 computations (26.8% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`log-prod_binary64`
401×	`exp-prod_binary64`
280×	`prod-exp_binary64`
249×	`pow2_binary64`
245×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	199	22
2	2659	22

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify86.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	223
1	107	219
2	229	217
3	580	210
4	1550	204
5	3444	204
6	5426	204
7	6473	204
8	7230	204

Stop Event

1×	node limit

Counts

151 → 147

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite64.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	129	8
2	1480	8

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

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

simplify8.0ms (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

60 → 48

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)

eval172.0ms (3.8%)

Compiler: Compiled 5553 to 4316 computations (22.3% saved)

prune52.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	383	1	384
Fresh	0	1	1
Picked	1	0	1
Done	3	3	6
Total	387	5	392

Error

Counts

392 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.8b	(/.f64 (.f64 x (.f64 x -707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
✓	0.1b	(+.f64 (*.f64 841/108 x) 4/29)
✓	31.6b	(*.f64 841/108 x)
	32.2b	4/29
	31.7b	(/.f64 x 108/841)

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes52.0ms (1.2%)

Counts

17 → 1

Calls

Call 1

Inputs
4/29
4/29
4/29
(/.f64 x 108/841)
(*.f64 841/108 x)
(+.f64 (*.f64 841/108 x) 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 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
(fma.f64 841/108 x 4/29)
(pow.f64 (/.f64 108/841 x) -1)
(.f64 (/.f64 x (fma.f64 x -841/108 4/29)) (.f64 x -707281/11664))
(+.f64 0 (/.f64 (*.f64 x -707281/11664) (/.f64 (fma.f64 x -841/108 4/29) x)))
(pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2)
(pow.f64 (/.f64 1 (fma.f64 x 841/108 4/29)) -1)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 841/108) 2) x) (/.f64 4 29))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 841/108 x)) 2) (/.f64 4 29))

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

Calls

5 calls:

12.0ms	(*.f64 (/.f64 841 108) x)
11.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
9.0ms	(*.f64 (/.f64 841 108) x)
9.0ms	x
6.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))`
0.1b	1	`(+.f64 (*.f64 (/.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 147 to 120 computations (18.4% saved)

regimes15.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
2.0b	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch39.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	9.346374982514411e-7	17085766139.892492
18.0ms	-0.050911373029014544	-0.0004108907473507034

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes12.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch38.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	9.346374982514411e-7	17085766139.892492
19.0ms	-0.050911373029014544	-0.0004108907473507034

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

3 → 1

Calls

Call 1

Inputs
4/29
4/29
4/29

Outputs
4/29

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
32.2b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	50
1	19	50

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -939149068707390336/18446744073709551616) (.f64 841/108 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) 4/29 (.f64 841/108 x)))
(if (<=.f64 x -939149068707390336/18446744073709551616) (/.f64 x 108/841) (if (<=.f64 x 2206850397687871/2361183241434822606848) 4/29 (/.f64 x 108/841)))
4/29

Outputs
(+.f64 (*.f64 841/108 x) 4/29)
(if (<=.f64 x -939149068707390336/18446744073709551616) (.f64 841/108 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) 4/29 (.f64 841/108 x)))
(if (<=.f64 x -7337102099276487/144115188075855872) (.f64 841/108 x) (if (<=.f64 x 2206850397687871/2361183241434822606848) 4/29 (.f64 841/108 x)))
(if (<=.f64 x -939149068707390336/18446744073709551616) (/.f64 x 108/841) (if (<=.f64 x 2206850397687871/2361183241434822606848) 4/29 (/.f64 x 108/841)))
(if (<=.f64 x -7337102099276487/144115188075855872) (/.f64 x 108/841) (if (<=.f64 x 2206850397687871/2361183241434822606848) 4/29 (/.f64 x 108/841)))
4/29

Compiler

Compiled 40 to 31 computations (22.5% saved)

soundness9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Compiler

Compiled 31 to 27 computations (12.9% saved)

end37.0ms (0.8%)

Compiler: Compiled 37 to 28 computations (24.3% saved)

Details

analyze3.0ms (0.1%)

sample1.3s (30%)

preprocess19.0ms (0.4%)

simplify9.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite77.0ms (1.7%)

simplify10.0ms (0.2%)

localize4.0ms (0.1%)

series18.0ms (0.4%)

rewrite51.0ms (1.1%)

simplify8.0ms (0.2%)

eval23.0ms (0.5%)

prune14.0ms (0.3%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite49.0ms (1.1%)

simplify7.0ms (0.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite61.0ms (1.4%)

simplify8.0ms (0.2%)

localize43.0ms (1%)

series8.0ms (0.2%)

rewrite73.0ms (1.6%)

simplify8.0ms (0.2%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

rewrite128.0ms (2.9%)

simplify178.0ms (4%)

eval483.0ms (10.8%)

prune67.0ms (1.5%)

localize15.0ms (0.3%)

series3.0ms (0.1%)

rewrite106.0ms (2.4%)

simplify158.0ms (3.5%)

localize15.0ms (0.3%)

series5.0ms (0.1%)

rewrite93.0ms (2.1%)

simplify106.0ms (2.4%)

localize10.0ms (0.2%)

localize12.0ms (0.3%)

series5.0ms (0.1%)

rewrite77.0ms (1.7%)

simplify61.0ms (1.4%)

eval131.0ms (2.9%)

prune70.0ms (1.6%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite85.0ms (1.9%)

simplify57.0ms (1.3%)

localize18.0ms (0.4%)

series3.0ms (0.1%)

rewrite91.0ms (2%)

simplify86.0ms (1.9%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite64.0ms (1.4%)

simplify8.0ms (0.2%)

eval172.0ms (3.8%)

prune52.0ms (1.2%)

regimes52.0ms (1.2%)

regimes15.0ms (0.3%)

bsearch39.0ms (0.9%)

regimes12.0ms (0.3%)

bsearch38.0ms (0.8%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness9.0ms (0.2%)

end37.0ms (0.8%)

Profiling