Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample2.3s (30.9%)

Results

2.2s	8251×	body	256	valid
1.0ms	4×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess55.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 9 computations (10% saved)

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
1.0ms	x	@	-inf	(*.f64 (/.f64 841 108) x)
1.0ms	x	@	inf	(*.f64 (/.f64 841 108) x)
1.0ms	x	@	0	(*.f64 (/.f64 841 108) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))

rewrite95.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

67 → 46

Calls

Call 1

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

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

eval27.0ms (0.4%)

Compiler: Compiled 465 to 373 computations (19.8% saved)

prune20.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	5	47

Error

0.0b

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) (/.f64 4 29))
▶	0.1b	(+.f64 4/29 (*.f64 841/108 x))
	30.0b	4/29
▶	14.9b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
▶	15.4b	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))

Compiler

Compiled 49 to 41 computations (16.3% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
618×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`
609×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	132	9
2	1606	9

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	6	9

Stop Event

1×

saturated

Counts

46 → 45

Calls

Call 1

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

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

localize36.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1) (/.f64 4 29))
	0.1b	(*.f64 841/108 x)
✓	3.5b	(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)

Compiler

Compiled 35 to 30 computations (14.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite118.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`unpow-prod-down_binary64`
528×	`prod-diff_binary64`
483×	`fma-def_binary64`
391×	`log-prod_binary64`
301×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	254	11
2	3264	9

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

189 → 167

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)

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 841/108 x -4/29)
✓	0.2b	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
✓	0.3b	(.f64 (.f64 x x) 707281/11664)
✓	14.3b	(/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))

Compiler

Compiled 52 to 34 computations (34.6% saved)

series33.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	x	@	inf	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
2.0ms	x	@	0	(/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))
1.0ms	x	@	-inf	(/.f64 1 (/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841)))
1.0ms	x	@	inf	(/.f64 (fma.f64 841/108 x -4/29) (+.f64 (.f64 (.f64 x x) 707281/11664) -16/841))
1.0ms	x	@	0	(.f64 (.f64 x x) 707281/11664)

rewrite132.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	283	42
2	3434	42

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 841/108 x -4/29) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))) 2) (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))) (sqrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (/.f64 1 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 841/108 x -4/29)) (/.f64 1 (neg.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x (.f64 x 707281/11664) -16/841)) (fma.f64 841/108 x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) 1) (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (fma.f64 x (.f64 x 707281/11664) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) -2) (/.f64 (fma.f64 841/108 x -4/29) (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2)) (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841)) 2)) (/.f64 (sqrt.f64 (fma.f64 841/108 x -4/29)) (cbrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) -1/2) (/.f64 (fma.f64 841/108 x -4/29) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) 2) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))) (/.f64 (cbrt.f64 (fma.f64 841/108 x -4/29)) (sqrt.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 6) 353814783205469041/1586874322944 -4096/594823321)) (-.f64 (fma.f64 (pow.f64 x 4) 500246412961/136048896 256/707281) (.f64 (.f64 x x) -841/729)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 (pow.f64 x 4) 500246412961/136048896 -256/707281)) (fma.f64 x (.f64 x 707281/11664) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) (fma.f64 841/108 x -4/29)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 841/108 x -4/29) (neg.f64 (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 841/108 x -4/29) (fma.f64 x (.f64 x 707281/11664) -16/841)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 841/108 x -4/29) 3) (pow.f64 (fma.f64 x (.f64 x 707281/11664) -16/841) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify140.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
746×	`distribute-neg-frac_binary64`
417×	`times-frac_binary64`
333×	`distribute-rgt-neg-in_binary64`
304×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	393
1	116	373
2	271	369
3	695	363
4	2046	360
5	5943	360

Stop Event

1×	node limit

Counts

192 → 168

Calls

Call 1

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

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

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 4/29 (*.f64 841/108 x))
	0.1b	(*.f64 841/108 x)
	0.3b	(.f64 (.f64 x x) 707281/11664)
✓	13.9b	(/.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)

series36.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	x	@	inf	(-.f64 4/29 (*.f64 841/108 x))
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 16/841 (.f64 (.f64 x x) 707281/11664)) (-.f64 4/29 (*.f64 841/108 x)))
1.0ms	x	@	-inf	(-.f64 4/29 (*.f64 841/108 x))

rewrite272.0ms (3.7%)

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	26
1	280	14
2	3803	10

Stop Event

1×	node limit

Counts

2 → 230

Calls

Call 1

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

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

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	126
1	14	108
2	17	108

Stop Event

1×

saturated

Counts

254 → 237

Calls

Call 1

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

eval853.0ms (11.6%)

Compiler: Compiled 16655 to 13055 computations (21.6% saved)

prune171.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	652	6	658
Fresh	1	0	1
Picked	1	0	1
Done	2	1	3
Total	656	7	663

Error

Counts

663 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 4/29 (*.f64 841/108 x))
	30.0b	4/29
▶	48.2b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108))
▶	0.1b	(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
▶	33.3b	(/.f64 1 (/.f64 108/841 x))
▶	33.2b	(*.f64 x 841/108)
▶	0.3b	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) (/.f64 4 29))

Compiler

Compiled 92 to 77 computations (16.3% saved)

localize29.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
	0.1b	(*.f64 841/108 x)
	3.5b	(-.f64 (+.f64 1 (*.f64 841/108 x)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite84.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`unpow-prod-down_binary64`
497×	`prod-diff_binary64`
494×	`fma-def_binary64`
360×	`log-prod_binary64`
233×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	209	7
2	2933	5

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 841/108 x 1) 25/29)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 33/29 (*.f64 841/108 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 841/108 x 4/29))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 841/108 x))) (/.f64 (*.f64 (*.f64 x x) 707281/11664) (-.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 841/108 x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (pow.f64 (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (/.f64 1 (-.f64 4/29 (*.f64 841/108 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 841/108 x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2) (sqrt.f64 (fma.f64 841/108 x 4/29))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 2) 3) (cbrt.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389) (fma.f64 (*.f64 x x) 707281/11664 (-.f64 16/841 (*.f64 4/29 (*.f64 841/108 x)))))))) (#(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 /.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) (neg.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) (neg.f64 (-.f64 4/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 33/29 (*.f64 841/108 x)) 3) 1) (+.f64 (pow.f64 (+.f64 33/29 (*.f64 841/108 x)) 2) (+.f64 1 (*.f64 (+.f64 33/29 (*.f64 841/108 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 33/29 (*.f64 841/108 x)) 2) 1) (+.f64 (+.f64 33/29 (*.f64 841/108 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 x x) 707281/11664 -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) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -4/29) 16/841) (fma.f64 (pow.f64 x 3) 594823321/1259712 64/24389)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 4/29 (*.f64 841/108 x)) (-.f64 16/841 (*.f64 (*.f64 x x) 707281/11664))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 841/108 x 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 841/108 x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 33/29 (*.f64 841/108 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 841/108 x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 841/108 x 4/29)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 841/108 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 841/108 x 1) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 33/29 (*.f64 841/108 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 841/108 x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 841/108 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 x) 1 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 841/108 x 1) 1 -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 841/108 x)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 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 (cbrt.f64 (fma.f64 841/108 x 1)) (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) (cbrt.f64 (fma.f64 841/108 x 1)) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 841/108 x 1)) 1) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 841/108) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 841/108 x)) (sqrt.f64 (*.f64 841/108 x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 841/108 x 1)) (sqrt.f64 (fma.f64 841/108 x 1)) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 841/108 x 1)) (*.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 841/108 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 841/108 x 1) 2) (fma.f64 841/108 x 2))) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 3) 594823321/1259712 1) (/.f64 1 (fma.f64 (*.f64 841/108 x) (fma.f64 841/108 x -1) 1)) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 841/108 x 2) (*.f64 841/108 x)) (/.f64 1 (fma.f64 841/108 x 2)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (*.f64 x x) 707281/11664)) (/.f64 1 (+.f64 1 (*.f64 -841/108 x))) -25/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 33/29 (*.f64 841/108 x))) 2) (cbrt.f64 (+.f64 33/29 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 33/29 (*.f64 841/108 x))) (sqrt.f64 (+.f64 33/29 (*.f64 841/108 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 841/108 x 1)) 1) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 841/108 (sqrt.f64 x)) (sqrt.f64 x) 4/29)))))

simplify26.0ms (0.4%)

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

83 → 74

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)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite86.0ms (1.2%)

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 x 841/108)

Outputs

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

simplify16.0ms (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

37 → 26

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)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series7.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite86.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48
1	5	48

Stop Event

1×

saturated

Counts

58 → 46

Calls

Call 1

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

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

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))
✓	0.1b	(*.f64 x -841/108)
	0.3b	(.f64 (.f64 x x) 707281/11664)
✓	14.2b	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series6.0ms (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 x -841/108))
1.0ms	x	@	inf	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108))
1.0ms	x	@	0	(*.f64 x -841/108)
1.0ms	x	@	-inf	(/.f64 (-.f64 16/841 (.f64 (.f64 x x) 707281/11664)) (*.f64 x -841/108))
0.0ms	x	@	inf	(-.f64 16/841 (.f64 (.f64 x x) 707281/11664))

rewrite168.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
341×	`prod-diff_binary64`
285×	`pow-prod-down_binary64`
268×	`pow2_binary64`
196×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	231	30
2	3279	22

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 x) -841/108 (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (*.f64 x -841/108) 1 (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x -841/108))) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 841/108 x (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) -841/108)) (/.f64 707281/11664 x) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 707281/11664 x)) (/.f64 (*.f64 x x) -841/108) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x -841/108) -841/108)) (/.f64 (*.f64 x -841/108) x) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x -841/108) x)) (/.f64 (*.f64 x -841/108) -841/108) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 707281/11664 (sqrt.f64 (*.f64 x -841/108)))) (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -841/108))) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (sqrt.f64 (*.f64 x -841/108)))) (/.f64 707281/11664 (sqrt.f64 (*.f64 x -841/108))) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x -841/108))) (sqrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 -1 (*.f64 x -841/108) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) (cbrt.f64 (*.f64 x -841/108)) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 -1728/707281 x) (*.f64 x -841/108)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 16/841 (/.f64 -108/841 x) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1728/707281 x) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 2) (cbrt.f64 (/.f64 -1728/707281 x)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1728/707281 x)) (sqrt.f64 (/.f64 -1728/707281 x)) (neg.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664))) (fma.f64 (neg.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108))) 707281/11664 (*.f64 (/.f64 (*.f64 x x) (*.f64 x -841/108)) 707281/11664)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 16/841 (/.f64 -108/841 x) (neg.f64 (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664)))) (fma.f64 (neg.f64 (/.f64 -108/841 x)) (*.f64 (*.f64 x x) 707281/11664) (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1728/707281 x) (neg.f64 (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664)))) (fma.f64 (neg.f64 (/.f64 -108/841 x)) (*.f64 (*.f64 x x) 707281/11664) (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 2) (cbrt.f64 (/.f64 -1728/707281 x)) (neg.f64 (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664)))) (fma.f64 (neg.f64 (/.f64 -108/841 x)) (*.f64 (*.f64 x x) 707281/11664) (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 -1728/707281 x)) (sqrt.f64 (/.f64 -1728/707281 x)) (neg.f64 (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664)))) (fma.f64 (neg.f64 (/.f64 -108/841 x)) (*.f64 (*.f64 x x) 707281/11664) (*.f64 (/.f64 -108/841 x) (*.f64 (*.f64 x x) 707281/11664))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 16/841 (/.f64 -108/841 x) (neg.f64 (*.f64 (/.f64 (*.f64 x 707281/11664) -841/108) 1))) (fma.f64 (neg.f64 (/.f64 (*.f64 x 707281/11664) -841/108)) 1 (*.f64 (/.f64 (*.f64 x 707281/11664) -841/108) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 -1728/707281 x) (neg.f64 (*.f64 (/.f64 (*.f64 x 707281/11664) -841/108) 1))) (fma.f64 (neg.f64 (/.f64 (*.f64 x 707281/11664) -841/108)) 1 (*.f64 (/.f64 (*.f64 x 707281/11664) -841/108) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1728/707281 x)) 2) (cbrt.f64 (/.f64 -1728/707281 x)) (neg.f64 (*.f64 (/.f64 (*.f64 x 707281/11664) -841/108) 1))) (fma.f64 (neg.f64 (/.f64 (*.f64 x 707281/11664) -841/108)) 1 (*.f64 (/.f64 (*.f64 x 707281/11664) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 707281/11664) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 -841/108 (*.f64 x -841/108)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (neg.f64 (*.f64 x 707281/11664)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 707281/11664 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -707281/11664 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 707281/11664 (*.f64 x x) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 707281/11664 (*.f64 x (neg.f64 x)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) 707281/11664) 1 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -841/108 (*.f64 x (*.f64 x -841/108)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -841/108) (*.f64 x -841/108) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 x x) 707281/11664) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4) (neg.f64 (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664))) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 707281/11664)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 707281/11664) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x -841/108)) (pow.f64 (*.f64 x -841/108) 3/2) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 707281/11664)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (neg.f64 x)) 707281/11664 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 707281/11664) x 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x -841/108) 3/2) (sqrt.f64 (*.f64 x -841/108)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (*.f64 x x) 707281/11664) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (*.f64 x 707281/11664) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -841/108) -841/108) x 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 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 4)) (cbrt.f64 (*.f64 (*.f64 x x) 707281/11664)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x -841/108) x) -841/108 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -841/108)) 5) (cbrt.f64 (*.f64 x -841/108)) 16/841)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 707281/11664 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) 16/841)))))

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

627×	`times-frac_binary64`
598×	`associate-l_binary64`
570×	`associate-/l/_binary64`
471×	`fma-neg_binary64`
427×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	237
1	39	219
2	63	219
3	118	219
4	275	219
5	811	219
6	2704	219
7	7471	219

Stop Event

1×	node limit

Counts

275 → 251

Calls

Call 1

Inputs
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 841/108 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
(*.f64 -841/108 x)
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
(/.f64 -1728/707281 x)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 841/108 x)
(*.f64 x 841/108)
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(-.f64 (.f64 841/108 x) (.f64 1728/707281 (/.f64 1 x)))
(-.f64 (*.f64 x 841/108) (/.f64 1728/707281 x))
(fma.f64 x 841/108 (/.f64 -1728/707281 x))
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
(*.f64 -841/108 x)
(*.f64 x -841/108)
16/841
(+.f64 (*.f64 -707281/11664 (pow.f64 x 2)) 16/841)
(fma.f64 -707281/11664 (*.f64 x x) 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 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 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.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 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 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 x (*.f64 x -707281/11664) 16/841)
(*.f64 -707281/11664 (pow.f64 x 2))
(.f64 -707281/11664 (.f64 x x))
(.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 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 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 x (*.f64 x -707281/11664) 16/841)

localize317.0ms (4.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 23 computations (11.5% saved)

series10.0ms (0.1%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(*.f64 (pow.f64 594823321/1259712 1/3) x)
1.0ms	x	@	-inf	(*.f64 (pow.f64 594823321/1259712 1/3) x)
1.0ms	x	@	inf	(*.f64 (pow.f64 594823321/1259712 1/3) x)
1.0ms	x	@	0	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) (/.f64 4 29))
1.0ms	x	@	-inf	(+.f64 (*.f64 (pow.f64 594823321/1259712 1/3) x) (/.f64 4 29))

rewrite521.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`pow1_binary64`
884×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
871×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	224	16
2	2355	16

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 594823321/1259712) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (cbrt.f64 594823321/1259712)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 594823321/1259712 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 594823321/1259712))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 594823321/1259712) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 594823321/1259712) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 594823321/1259712) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (fma.f64 (cbrt.f64 594823321/1259712) x -4/29)) (/.f64 16/841 (fma.f64 (cbrt.f64 594823321/1259712) x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2) (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (-.f64 16/841 (*.f64 (cbrt.f64 594823321/1259712) (*.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) -16/841) (/.f64 1 (fma.f64 (cbrt.f64 594823321/1259712) x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (-.f64 16/841 (*.f64 (cbrt.f64 594823321/1259712) (*.f64 x 4/29)))) (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cbrt.f64 594823321/1259712) x -4/29) (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) -16/841)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (-.f64 16/841 (*.f64 (cbrt.f64 594823321/1259712) (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (+.f64 16/841 (-.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (*.f64 (cbrt.f64 594823321/1259712) (*.f64 x 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) -16/841) (fma.f64 (cbrt.f64 594823321/1259712) x -4/29))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) (-.f64 16/841 (*.f64 (cbrt.f64 594823321/1259712) (*.f64 x 4/29))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944)) -16/841)) (neg.f64 (fma.f64 (cbrt.f64 594823321/1259712) x -4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944))) (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cbrt.f64 594823321/1259712) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) (cbrt.f64 353814783205469041/1586874322944))) (cbrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 4/29)))))

simplify24.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

81 → 60

Calls

Call 1

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

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

eval393.0ms (5.4%)

Compiler: Compiled 10111 to 7707 computations (23.8% saved)

prune84.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	582	3	585
Fresh	1	0	1
Picked	1	0	1
Done	1	4	5
Total	585	7	592

Error

Counts

592 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	30.0b	4/29
▶	0.3b	(+.f64 4/29 (*.f64 (pow.f64 594823321/1259712 1/3) x))
✓	33.2b	(*.f64 x 841/108)
✓	0.1b	(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
✓	0.1b	(+.f64 4/29 (*.f64 841/108 x))
✓	33.3b	(/.f64 1 (/.f64 108/841 x))
▶	48.0b	(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 17 computations (15% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

809×	`pow1_binary64`
768×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	180	7
2	2036	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16/841 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))) (/.f64 (*.f64 (cbrt.f64 353814783205469041/1586874322944) (*.f64 x x)) (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2) (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (/.f64 1 (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 16/841 (*.f64 (cbrt.f64 353814783205469041/1586874322944) (*.f64 x x))) (/.f64 1 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29))) (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x)) (-.f64 16/841 (*.f64 (cbrt.f64 353814783205469041/1586874322944) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3)) (+.f64 (*.f64 (cbrt.f64 353814783205469041/1586874322944) (*.f64 x x)) (-.f64 16/841 (*.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16/841 (*.f64 (cbrt.f64 353814783205469041/1586874322944) (*.f64 x x))) (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64/24389 (pow.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 3))) (neg.f64 (+.f64 16/841 (*.f64 (*.f64 (cbrt.f64 594823321/1259712) x) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16/841 (*.f64 (cbrt.f64 353814783205469041/1586874322944) (*.f64 x x)))) (neg.f64 (-.f64 4/29 (*.f64 (cbrt.f64 594823321/1259712) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cbrt.f64 353814783205469041/1586874322944) (*.f64 x x)) 16/841) (-.f64 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 594823321/1259712) x 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (cbrt.f64 594823321/1259712) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cbrt.f64 594823321/1259712) x) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 2) (cbrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 4/29)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) (sqrt.f64 (*.f64 (cbrt.f64 594823321/1259712) x)) 4/29)))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	94
1	9	76
2	11	76

Stop Event

1×

saturated

Counts

44 → 35

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x -841/108)
✓	0.2b	(*.f64 x -707281/11664)
✓	0.2b	(.f64 x (.f64 x -707281/11664))
✓	27.6b	(/.f64 (.f64 x (.f64 x -707281/11664)) (*.f64 x -841/108))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 x (.f64 x -707281/11664))
0.0ms	x	@	0	(.f64 x (.f64 x -707281/11664))
0.0ms	x	@	0	(*.f64 x -707281/11664)
0.0ms	x	@	-inf	(*.f64 x -707281/11664)
0.0ms	x	@	inf	(*.f64 x -707281/11664)

rewrite95.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
907×	`add-log-exp_binary64`
907×	`log1p-expm1-u_binary64`
907×	`expm1-log1p-u_binary64`
105×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	175	15
2	2510	15

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

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

simplify186.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	180
1	17	180
2	26	180
3	49	180
4	123	180
5	380	180
6	1460	180
7	2344	180
8	2508	180
9	2721	180
10	2941	180
11	3246	180
12	3648	180
13	4137	180
14	4705	180
15	5391	180
16	6230	180
17	6624	180
18	6912	180
19	7190	180
20	7260	180
21	7294	180

Stop Event

1×	node limit

Counts

131 → 99

Calls

Call 1

Inputs
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 841/108 x)
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 x 2))
(*.f64 -707281/11664 (pow.f64 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 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)

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

eval84.0ms (1.2%)

Compiler: Compiled 2215 to 1702 computations (23.2% saved)

prune37.0ms (0.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	195	4	199
Fresh	1	0	1
Picked	1	0	1
Done	1	4	5
Total	198	8	206

Error

Counts

206 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(.f64 (.f64 x -707281/11664) -108/841)
✓	33.3b	(/.f64 1 (/.f64 108/841 x))
✓	0.1b	(+.f64 4/29 (-.f64 (+.f64 1 (*.f64 841/108 x)) 1))
	30.0b	4/29
✓	0.1b	(+.f64 4/29 (*.f64 841/108 x))
✓	33.2b	(*.f64 x 841/108)
	33.3b	(.f64 (/.f64 (.f64 x -707281/11664) x) (/.f64 x -841/108))
	33.3b	(.f64 (/.f64 x 1) (/.f64 (.f64 x -707281/11664) (*.f64 x -841/108)))

Compiler

Compiled 56 to 45 computations (19.6% saved)

regimes117.0ms (1.6%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

36.0ms	(*.f64 (/.f64 841 108) x)
23.0ms	(*.f64 (/.f64 841 108) x)
20.0ms	x
17.0ms	(+.f64 (*.f64 (/.f64 841 108) x) (/.f64 4 29))
14.0ms	(+.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 169 to 135 computations (20.1% saved)

regimes17.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0037585186177603587	4.597083892091637
20.0ms	-125841791574572240.0	-5.203651412372695e-5

Compiler

Compiled 14 to 12 computations (14.3% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

4 → 1

Calls

Call 1

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

Outputs
4/29

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
30.0b	1	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	16	29

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -125841791574572240) (.f64 x 841/108) (if (<=.f64 x 8666553879762239/2305843009213693952) 4/29 (.f64 x 841/108)))
4/29

Outputs
(+.f64 4/29 (*.f64 841/108 x))
(if (<=.f64 x -125841791574572240) (.f64 x 841/108) (if (<=.f64 x 8666553879762239/2305843009213693952) 4/29 (.f64 x 841/108)))
(if (<=.f64 x -125841791574572240) (.f64 841/108 x) (if (<=.f64 x 8666553879762239/2305843009213693952) 4/29 (.f64 841/108 x)))
4/29

Compiler

Compiled 24 to 19 computations (20.8% saved)

soundness0.0ms (0%)

end34.0ms (0.5%)

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

Details

analyze7.0ms (0.1%)

sample2.3s (30.9%)

preprocess55.0ms (0.8%)

simplify12.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

localize24.0ms (0.3%)

series7.0ms (0.1%)

rewrite95.0ms (1.3%)

simplify23.0ms (0.3%)

eval27.0ms (0.4%)

prune20.0ms (0.3%)

localize14.0ms (0.2%)

series3.0ms (0%)

rewrite88.0ms (1.2%)

simplify16.0ms (0.2%)

localize36.0ms (0.5%)

series3.0ms (0%)

rewrite118.0ms (1.6%)

simplify24.0ms (0.3%)

localize43.0ms (0.6%)

series33.0ms (0.4%)

rewrite132.0ms (1.8%)

simplify140.0ms (1.9%)

localize36.0ms (0.5%)

series36.0ms (0.5%)

rewrite272.0ms (3.7%)

simplify33.0ms (0.5%)

eval853.0ms (11.6%)

prune171.0ms (2.3%)

localize29.0ms (0.4%)

series1.0ms (0%)

rewrite84.0ms (1.2%)

simplify26.0ms (0.4%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite86.0ms (1.2%)

simplify16.0ms (0.2%)

localize12.0ms (0.2%)

series7.0ms (0.1%)

rewrite86.0ms (1.2%)

simplify18.0ms (0.2%)

localize30.0ms (0.4%)

series6.0ms (0.1%)

rewrite168.0ms (2.3%)

simplify81.0ms (1.1%)

localize317.0ms (4.3%)

series10.0ms (0.1%)

rewrite521.0ms (7.1%)

simplify24.0ms (0.3%)

eval393.0ms (5.4%)

prune84.0ms (1.1%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite73.0ms (1%)

simplify9.0ms (0.1%)

localize11.0ms (0.1%)

series3.0ms (0%)

rewrite95.0ms (1.3%)

simplify186.0ms (2.5%)

eval84.0ms (1.2%)

prune37.0ms (0.5%)

regimes117.0ms (1.6%)

regimes17.0ms (0.2%)

bsearch37.0ms (0.5%)

regimes10.0ms (0.1%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end34.0ms (0.5%)

Profiling