Details

analyze9.0ms (0%)

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
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample14.1s (55.1%)

Results

11.7s	4295×	body	2048	valid
1.4s	2064×	body	1024	valid
723.0ms	1019×	body	512	valid
145.0ms	878×	body	256	valid
1.0ms	5×	body	256	infinite

Bogosity

preprocess10.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-12`
2×	`rational.json-simplify-10`
2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`
2×	`rational.json-simplify-8`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	18	25
2	19	25
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify25.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-12`
2×	`rational.json-simplify-10`
2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`
2×	`rational.json-simplify-8`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	18	25
2	19	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

29.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 x) 2)
✓	2.4b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(-.f64 (exp.f64 x) 2)
0.0ms	x	@	inf	(-.f64 (exp.f64 x) 2)

rewrite213.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1834×	`rational.json-1`
1834×	`rational.json-2`
1834×	`rational.json-3`
1832×	`rational.json-5`
1830×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	87	36
2	280	36
3	979	36
4	3715	36

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (exp.f64 x) 2) (.f64 (-.f64 (exp.f64 x) 2) (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (exp.f64 x) 2) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 x) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (*.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (exp.f64 x) 2) (*.f64 (-.f64 (exp.f64 x) 2) (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (exp.f64 x) 2) 1)))))

simplify237.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational.json-simplify-58`
980×	`rational.json-simplify-41`
956×	`rational.json-simplify-47`
954×	`rational.json-simplify-1`
720×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1203
1	158	1203
2	341	1203
3	1151	1203
4	3800	1203
5	6018	1203

Stop Event

1×	node limit

Counts

39 → 55

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)) 1)
(-.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 0)
(*.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)
(*.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) 1))
(.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(/.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)
(/.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)
(+.f64 (-.f64 (exp.f64 x) 2) 0)
(+.f64 0 (-.f64 (exp.f64 x) 2))
(*.f64 (-.f64 (exp.f64 x) 2) 1)
(*.f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))
(*.f64 1 (-.f64 (exp.f64 x) 2))
(.f64 (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 (exp.f64 x) 2)))
(.f64 (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (*.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) 1))
(.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))
(.f64 (.f64 (-.f64 (exp.f64 x) 2) (.f64 (-.f64 (exp.f64 x) 2) (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (exp.f64 x) 2) 1)
(/.f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))
(pow.f64 (-.f64 (exp.f64 x) 2) 1)

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)) -1)
(+.f64 -1 (+.f64 x (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 x (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(+.f64 (+.f64 x -1) (*.f64 (pow.f64 x 2) 1/2))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 1/6 (pow.f64 x 3)))) -1)
(+.f64 -1 (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 x (.f64 (pow.f64 x 2) 1/2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) -1))
(+.f64 x (+.f64 (.f64 (pow.f64 x 2) 1/2) (+.f64 -1 (.f64 1/6 (pow.f64 x 3)))))
(-.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 0)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(*.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(*.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(*.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(*.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (*.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) 1))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))))
(.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))))
(.f64 (.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (/.f64 (/.f64 1 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))
(.f64 (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))
(.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 (-.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(/.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(/.f64 (+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2)) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))
(pow.f64 (+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (-.f64 (exp.f64 x) 2) 0)
(-.f64 (exp.f64 x) 2)
(+.f64 0 (-.f64 (exp.f64 x) 2))
(-.f64 (exp.f64 x) 2)
(*.f64 (-.f64 (exp.f64 x) 2) 1)
(-.f64 (exp.f64 x) 2)
(*.f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) 2)
(*.f64 1 (-.f64 (exp.f64 x) 2))
(-.f64 (exp.f64 x) 2)
(.f64 (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) 2)
(.f64 (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)) (*.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) 1))
(-.f64 (exp.f64 x) 2)
(.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) 2)
(.f64 (.f64 (-.f64 (exp.f64 x) 2) (.f64 (-.f64 (exp.f64 x) 2) (.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) 2)) (*.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2))))
(-.f64 (exp.f64 x) 2)
(/.f64 (-.f64 (exp.f64 x) 2) 1)
(-.f64 (exp.f64 x) 2)
(/.f64 (-.f64 (exp.f64 x) 2) (/.f64 (-.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) 2)))
(-.f64 (exp.f64 x) 2)
(pow.f64 (-.f64 (exp.f64 x) 2) 1)
(-.f64 (exp.f64 x) 2)

eval22.0ms (0.1%)

Compiler: Compiled 971 to 509 computations (47.6% saved)

prune13.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	6	56

Error

0.0b

Counts

56 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 x 2)
▶	29.0b	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
▶	0.6b	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
✓	29.0b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
▶	0.4b	(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
▶	0.3b	(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))

Compiler

Compiled 131 to 105 computations (19.8% saved)

localize164.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
✓	0.0b	(*.f64 1/360 (pow.f64 x 6))
✓	0.0b	(*.f64 1/20160 (pow.f64 x 8))
✓	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 77 to 61 computations (20.8% saved)

series6.0ms (0%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/12 (pow.f64 x 4))
1.0ms	x	@	0	(*.f64 1/20160 (pow.f64 x 8))
1.0ms	x	@	0	(*.f64 1/360 (pow.f64 x 6))
1.0ms	x	@	inf	(*.f64 1/12 (pow.f64 x 4))
1.0ms	x	@	inf	(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))

rewrite242.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1114×	`rational.json-simplify-47`
736×	`rational.json-5`
734×	`exponential.json-3`
734×	`rational.json-1`
734×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	163	100
2	453	100
3	1632	100
4	6498	100

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

Inputs
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/20160 (pow.f64 x 8))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/12 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/12 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/12 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/12 (pow.f64 x 4)) (/.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/12 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/20160 (pow.f64 x 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/20160 (pow.f64 x 8)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/20160 (pow.f64 x 8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/20160 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/20160 (pow.f64 x 8)) (/.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/20160 (pow.f64 x 8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/20160 (pow.f64 x 8))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/360 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/360 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/360 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/360 (pow.f64 x 6)) (/.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/360 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/360 (pow.f64 x 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/20160 (pow.f64 x 8)) (-.f64 (neg.f64 (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (-.f64 (neg.f64 (.f64 1/20160 (pow.f64 x 8))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/12 (pow.f64 x 4))) (.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (neg.f64 (.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) 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simplify399.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1610×	`rational.json-simplify-47`
1474×	`rational.json-simplify-49`
1168×	`rational.json-simplify-2`
1066×	`rational.json-simplify-1`
708×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	3540
1	444	3540
2	1284	3540
3	3861	3540

Stop Event

1×	node limit

Counts

84 → 86

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(-.f64 0 (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(/.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(/.f64 (.f64 1/12 (pow.f64 x 4)) (/.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))))
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(neg.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) 0)
(+.f64 0 (*.f64 1/20160 (pow.f64 x 8)))
(-.f64 (*.f64 1/20160 (pow.f64 x 8)) 0)
(-.f64 0 (neg.f64 (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/20160 (pow.f64 x 8)))) 1)
(/.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)
(/.f64 (.f64 1/20160 (pow.f64 x 8)) (/.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/20160 (pow.f64 x 8))))
(pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)
(neg.f64 (neg.f64 (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(+.f64 0 (*.f64 1/360 (pow.f64 x 6)))
(-.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(-.f64 0 (neg.f64 (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/360 (pow.f64 x 6)))) 1)
(/.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(/.f64 (.f64 1/360 (pow.f64 x 6)) (/.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/360 (pow.f64 x 6))))
(pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(neg.f64 (neg.f64 (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (.f64 1/20160 (pow.f64 x 8)) (-.f64 (neg.f64 (.f64 1/360 (pow.f64 x 6))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (pow.f64 x 2) (-.f64 (neg.f64 (.f64 1/20160 (pow.f64 x 8))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
(-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) 0)
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (neg.f64 (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))) (neg.f64 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (neg.f64 (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))) (-.f64 (neg.f64 (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/20160 (pow.f64 x 8)))) (-.f64 (-.f64 (-.f64 1 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
(-.f64 (-.f64 0 (-.f64 -1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))))) (-.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (-.f64 -1 (*.f64 1/360 (pow.f64 x 6)))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (-.f64 -1 (.f64 1/20160 (pow.f64 x 8)))) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (*.f64 1/20160 (pow.f64 x 8))))
(-.f64 (-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (-.f64 -1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/360 (pow.f64 x 6)))) (-.f64 1 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 1/360 (pow.f64 x 6))) (pow.f64 x 2))) (-.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (-.f64 -1 (*.f64 1/360 (pow.f64 x 6)))) (-.f64 1 (pow.f64 x 2)))
(-.f64 (-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (-.f64 (-.f64 -1 (*.f64 1/360 (pow.f64 x 6))) (pow.f64 x 2))) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))) (-.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (-.f64 -1 (*.f64 1/20160 (pow.f64 x 8)))) 1)
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) 1)
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
(.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
(.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
(.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
(.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))))
(/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) 1)
(/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
(pow.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) 1)
(neg.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(+.f64 0 (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(-.f64 0 (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(*.f64 1/12 (pow.f64 x 4))
(/.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(*.f64 1/12 (pow.f64 x 4))
(/.f64 (.f64 1/12 (pow.f64 x 4)) (/.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 4))))
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(*.f64 1/12 (pow.f64 x 4))
(neg.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (*.f64 1/20160 (pow.f64 x 8)) 0)
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 0 (*.f64 1/20160 (pow.f64 x 8)))
(*.f64 1/20160 (pow.f64 x 8))
(-.f64 (*.f64 1/20160 (pow.f64 x 8)) 0)
(*.f64 1/20160 (pow.f64 x 8))
(-.f64 0 (neg.f64 (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/20160 (pow.f64 x 8)))) 1)
(*.f64 1/20160 (pow.f64 x 8))
(/.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)
(*.f64 1/20160 (pow.f64 x 8))
(/.f64 (.f64 1/20160 (pow.f64 x 8)) (/.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(pow.f64 (*.f64 1/20160 (pow.f64 x 8)) 1)
(*.f64 1/20160 (pow.f64 x 8))
(neg.f64 (neg.f64 (*.f64 1/20160 (pow.f64 x 8))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(+.f64 0 (*.f64 1/360 (pow.f64 x 6)))
(*.f64 1/360 (pow.f64 x 6))
(-.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(-.f64 0 (neg.f64 (*.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/360 (pow.f64 x 6)))) 1)
(*.f64 1/360 (pow.f64 x 6))
(/.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(*.f64 1/360 (pow.f64 x 6))
(/.f64 (.f64 1/360 (pow.f64 x 6)) (/.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(*.f64 1/360 (pow.f64 x 6))
(neg.f64 (neg.f64 (*.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(-.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (.f64 1/20160 (pow.f64 x 8)) (-.f64 (neg.f64 (.f64 1/360 (pow.f64 x 6))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (pow.f64 x 2) (-.f64 (neg.f64 (.f64 1/20160 (pow.f64 x 8))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/12 (pow.f64 x 4))) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) 0)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (neg.f64 (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (-.f64 (neg.f64 (.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))) (neg.f64 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (neg.f64 (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))) (-.f64 (neg.f64 (*.f64 1/20160 (pow.f64 x 8))) (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/20160 (pow.f64 x 8)))) (-.f64 (-.f64 (-.f64 1 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
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(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
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(neg.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))
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localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)

Compiler

Compiled 6 to 4 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 x 2)
1.0ms	x	@	-inf	(pow.f64 x 2)
0.0ms	x	@	0	(pow.f64 x 2)

rewrite237.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational.json-5`
870×	`exponential.json-3`
870×	`rational.json-1`
870×	`rational.json-2`
870×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	41	7
2	136	7
3	464	7
4	1714	7
5	7662	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(pow.f64 x 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (pow.f64 (/.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) (*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 x 2)) (*.f64 (fabs.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (/.f64 1 x) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (*.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (*.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (pow.f64 (/.f64 (/.f64 1 x) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) 2) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x 2)))))))

simplify208.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1074×	`rational.json-simplify-2`
1042×	`rational.json-simplify-47`
974×	`rational.json-simplify-55`
756×	`rational.json-simplify-104`
678×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	231
1	149	231
2	320	231
3	1247	231
4	5006	231

Stop Event

1×	node limit

Counts

33 → 34

Calls

Call 1

Inputs
(+.f64 (pow.f64 x 2) 0)
(+.f64 0 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 0)
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))
(*.f64 (pow.f64 x 2) (pow.f64 (/.f64 x x) 2))
(*.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -1)
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(.f64 (fabs.f64 (pow.f64 x 2)) (.f64 (fabs.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (pow.f64 (/.f64 1 x) 2) 1))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) 1))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (pow.f64 (/.f64 (/.f64 1 x) (*.f64 x x)) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (*.f64 x x)) 2))
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 2) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)))
(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
(/.f64 (pow.f64 x 2) 1)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(neg.f64 (neg.f64 (pow.f64 x 2)))

Outputs
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (pow.f64 (/.f64 x x) 2))
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(.f64 (neg.f64 (pow.f64 x 2)) (.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (fabs.f64 (pow.f64 x 2)) (.f64 (fabs.f64 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (pow.f64 (/.f64 1 x) 2) 1))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 (pow.f64 x 2) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(pow.f64 x 2)
(.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (*.f64 (/.f64 1 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) 1))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (pow.f64 (/.f64 (/.f64 1 x) (*.f64 x x)) 2))
(pow.f64 x 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (*.f64 x x)) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) 2) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
0.0ms	x	@	inf	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
0.0ms	x	@	-inf	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)

rewrite204.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-1`
1846×	`rational.json-2`
1846×	`rational.json-3`
1844×	`rational.json-5`
1842×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	87	25
2	280	25
3	983	25
4	3746	25

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

Inputs
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)))))

simplify290.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1268×	`rational.json-simplify-58`
914×	`rational.json-simplify-47`
794×	`rational.json-simplify-1`
726×	`rational.json-simplify-41`
698×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	536
1	92	536
2	223	536
3	913	536
4	3356	536
5	5406	536

Stop Event

1×	node limit

Counts

20 → 24

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 0)
(+.f64 0 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)
(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(*.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) 1))
(.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 0)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(+.f64 0 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) 1))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 1)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational.json-5`
1576×	`exponential.json-3`
1576×	`rational.json-1`
1576×	`rational.json-2`
1576×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	81	25
2	234	25
3	811	25
4	3111	25

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (pow.f64 x 2) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 2)))))))

simplify290.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1048×	`rational.json-simplify-47`
952×	`rational.json-simplify-1`
782×	`exponential.json-simplify-26`
772×	`rational.json-simplify-49`
738×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	642
1	115	558
2	294	558
3	1307	558
4	5161	558
5	7763	558

Stop Event

1×	node limit

Counts

24 → 24

Calls

Call 1

Inputs
(pow.f64 x 2)
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2)))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)
(-.f64 0 (-.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 2)))
(-.f64 (-.f64 (pow.f64 x 2) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 2))) 1)
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) 1)
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(neg.f64 (-.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 2)))

Outputs
(pow.f64 x 2)
(*.f64 1/12 (pow.f64 x 4))
(*.f64 1/12 (pow.f64 x 4))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2)))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 0 (-.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 2)))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 x 2) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) 1)
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(neg.f64 (-.f64 (neg.f64 (*.f64 1/12 (pow.f64 x 4))) (pow.f64 x 2)))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
	0.0b	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
	0.0b	(*.f64 1/360 (pow.f64 x 6))
	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 50 to 39 computations (22% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(+.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))

0.0ms

(+.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))

0.0ms

-inf

(+.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))

rewrite178.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`rational.json-simplify-54`
758×	`rational.json-simplify-47`
644×	`rational.json-simplify-58`
584×	`rational.json-simplify-1`
534×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	121	43
2	336	43
3	1188	43
4	4656	43

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (-.f64 (neg.f64 (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (neg.f64 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/360 (pow.f64 x 6)) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 1/360 (pow.f64 x 6)))) (-.f64 (-.f64 1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (-.f64 -1 (*.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (-.f64 -1 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/360 (pow.f64 x 6)) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))) (/.f64 (*.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) 1) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/12 (pow.f64 x 4))))))))

simplify212.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational.json-simplify-49`
1170×	`rational.json-simplify-2`
1006×	`rational.json-simplify-1`
920×	`rational.json-simplify-50`
790×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	1840
1	240	1840
2	591	1840
3	1980	1840
4	6200	1840

Stop Event

1×	node limit

Counts

46 → 42

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (pow.f64 x 2) (-.f64 (neg.f64 (.f64 1/360 (pow.f64 x 6))) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (neg.f64 (.f64 1/360 (pow.f64 x 6))))
(-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) 0)
(-.f64 0 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))) (neg.f64 (pow.f64 x 2)))
(-.f64 (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))) (neg.f64 (.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (.f64 1/360 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/360 (pow.f64 x 6)))) (-.f64 (-.f64 1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6)))))
(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))) 1)
(-.f64 (-.f64 (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))) (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (-.f64 -1 (.f64 1/360 (pow.f64 x 6)))) 1)
(-.f64 (-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))) (-.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 (-.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) 1)
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
(.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) 1))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))) (/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) 1) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))))))
(/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) 1)
(/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
(pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) 1)
(neg.f64 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (.f64 1/12 (pow.f64 x 4))))

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (pow.f64 x 2) (-.f64 (neg.f64 (.f64 1/360 (pow.f64 x 6))) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (neg.f64 (.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) 0)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 0 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))) (neg.f64 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))) (neg.f64 (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 (-.f64 0 (-.f64 (-.f64 (-.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (-.f64 (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))) (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 (-.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (-.f64 -1 (.f64 1/360 (pow.f64 x 6)))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 (-.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))) (-.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 (-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 (-.f64 -1 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4)))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(-.f64 (-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 -1 (pow.f64 x 2))) (-.f64 1 (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(-.f64 (-.f64 (.f64 1/360 (pow.f64 x 6)) (-.f64 -1 (.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
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(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))) 1))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
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(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))) (/.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) 1) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (/.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(pow.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6)))) 1)
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(neg.f64 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))

eval948.0ms (3.7%)

Compiler: Compiled 6757 to 5270 computations (22% saved)

prune93.0ms (0.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	293	5	298
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	293	11	304

Error

0.0b

Counts

304 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(pow.f64 x 2)
▶	29.6b	(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
✓	29.0b	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
✓	0.6b	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
▶	29.2b	(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))
✓	29.0b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
✓	0.4b	(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
✓	0.3b	(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
▶	48.2b	(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
▶	62.5b	(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
▶	30.2b	(*.f64 1/20160 (pow.f64 x 8))

Compiler

Compiled 400 to 278 computations (30.5% saved)

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))
	0.1b	(*.f64 1/12 (pow.f64 x 4))
✓	1.5b	(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)

Compiler

Compiled 55 to 46 computations (16.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	0	(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
0.0ms	x	@	inf	(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
0.0ms	x	@	0	(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))

rewrite208.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`rational.json-simplify-2`
666×	`rational.json-simplify-47`
642×	`rational.json-simplify-1`
614×	`rational.json-simplify-54`
602×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	144	32
2	392	32
3	1208	32
4	4636	32

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (pow.f64 x 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 -1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 -1 (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (/.f64 (/.f64 -1 (neg.f64 (pow.f64 x 2))) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (neg.f64 (pow.f64 x 2))) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (-.f64 -1 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 (-.f64 2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (-.f64 1 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (-.f64 -1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (pow.f64 x 2)) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (pow.f64 x 2)) (-.f64 -2 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (pow.f64 x 2)) (+.f64 -1 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 2 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 (-.f64 -2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (+.f64 (-.f64 -2 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (pow.f64 x 2) 2) (-.f64 -2 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (pow.f64 x 2) 2) (+.f64 -2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 -1 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (+.f64 2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (pow.f64 x 2) (-.f64 1 (*.f64 1/12 (pow.f64 x 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (-.f64 (pow.f64 x 2) 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 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2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) (*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))))))

simplify309.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1140×	`rational.json-simplify-49`
1104×	`rational.json-simplify-44`
902×	`rational.json-simplify-1`
880×	`rational.json-simplify-54`
874×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	1999
1	367	1987
2	1045	1987
3	3325	1969
4	7111	1969

Stop Event

1×	node limit

Counts

109 → 92

Calls

Call 1

Inputs
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 0 (pow.f64 x 2))
(+.f64 -1 (+.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
(+.f64 1 (+.f64 -1 (pow.f64 x 2)))
(+.f64 (+.f64 -1 (pow.f64 x 2)) 1)
(*.f64 -1 (neg.f64 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(*.f64 (neg.f64 (pow.f64 x 2)) -1)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 -1 (neg.f64 (pow.f64 x 2))))
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 -1 (neg.f64 (pow.f64 x 2))) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
(.f64 (/.f64 -1 (neg.f64 (pow.f64 x 2))) (pow.f64 (.f64 x x) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (*.f64 x x)) 2))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)))
(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
(/.f64 (pow.f64 x 2) 1)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(pow.f64 (pow.f64 x 2) 1)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 -1 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 -1 (+.f64 (-.f64 -1 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 2 (-.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 2 (-.f64 (-.f64 2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 1 (-.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 1 (+.f64 (-.f64 1 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2)))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)
(-.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (-.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 -1 (pow.f64 x 2)) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 -1 (pow.f64 x 2)) (-.f64 -2 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 -1 (pow.f64 x 2)) (+.f64 -1 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 2 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 1/12 (pow.f64 x 4))) 1)
(-.f64 -2 (-.f64 (-.f64 -2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(-.f64 -2 (+.f64 (-.f64 -2 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (-.f64 (pow.f64 x 2) 2) (-.f64 -2 (*.f64 1/12 (pow.f64 x 4))))
(-.f64 (-.f64 (pow.f64 x 2) 2) (+.f64 -2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 -1 (pow.f64 x 2))) -1)
(-.f64 (+.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (+.f64 2 (pow.f64 x 2))) 1)
(-.f64 (+.f64 1 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (neg.f64 (pow.f64 x 2)))
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) -1)
(-.f64 (-.f64 (pow.f64 x 2) (-.f64 1 (*.f64 1/12 (pow.f64 x 4)))) -1)
(-.f64 (+.f64 -1 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 -2 (pow.f64 x 2)))
(-.f64 (-.f64 1 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(-.f64 (-.f64 (+.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) 2)
(-.f64 (-.f64 -2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 -2 (pow.f64 x 2)))
(-.f64 (-.f64 (-.f64 (pow.f64 x 2) 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) -2)
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(-.f64 (-.f64 (pow.f64 x 2) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (-.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) 1) (-.f64 -2 (pow.f64 x 2)))
(.f64 -1 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) 1)
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(neg.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))

Outputs
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 -1 (+.f64 (pow.f64 x 2) 1))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
(pow.f64 x 2)
(+.f64 1 (+.f64 -1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (+.f64 -1 (pow.f64 x 2)) 1)
(pow.f64 x 2)
(*.f64 -1 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 -1 (neg.f64 (pow.f64 x 2))))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
(pow.f64 (*.f64 x (/.f64 x x)) 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 -1 (neg.f64 (pow.f64 x 2))) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 (*.f64 x x) (/.f64 1 x)) 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (.f64 (*.f64 x x) (/.f64 1 x)) 2))
(.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (.f64 x (/.f64 x x)) 2))
(.f64 (/.f64 -1 (neg.f64 (pow.f64 x 2))) (pow.f64 (.f64 x x) 2))
(pow.f64 x 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (*.f64 x x)) 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
(pow.f64 (*.f64 x (/.f64 x x)) 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(/.f64 (neg.f64 (pow.f64 x 2)) -1)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 0 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 0 (+.f64 (neg.f64 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 -1 (-.f64 (-.f64 -1 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 -1 (+.f64 (-.f64 -1 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 2 (-.f64 (-.f64 1 (pow.f64 x 2)) (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 2 (-.f64 (-.f64 2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (pow.f64 x 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 2) 1) (-.f64 1 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 1 (-.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 1 (+.f64 (-.f64 1 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (*.f64 1/12 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (-.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 -1 (pow.f64 x 2)) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 -1 (pow.f64 x 2)) (-.f64 -2 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 -1 (pow.f64 x 2)) (+.f64 -1 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 2 (pow.f64 x 2)) (-.f64 2 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) (*.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 -2 (-.f64 (-.f64 -2 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 -2 (+.f64 (-.f64 -2 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 x 2) 2) (-.f64 -2 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 x 2) 2) (+.f64 -2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) (-.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 -1 (pow.f64 x 2))) -1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) (+.f64 2 (pow.f64 x 2))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 1 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (neg.f64 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) -1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 x 2) (-.f64 1 (*.f64 1/12 (pow.f64 x 4)))) -1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 -1 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 -2 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 1 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (+.f64 2 (pow.f64 x 2)) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 -2 (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 -2 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (-.f64 (pow.f64 x 2) 2) (neg.f64 (*.f64 1/12 (pow.f64 x 4)))) -2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 -2 (pow.f64 x 2))) 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) (-.f64 1 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (pow.f64 x 2) (-.f64 -1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (-.f64 (+.f64 -1 (*.f64 1/12 (pow.f64 x 4))) 1) (-.f64 -2 (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 -1 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(neg.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/20160 (pow.f64 x 8))

Compiler

Compiled 12 to 9 computations (25% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
	1.5b	(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)

Compiler

Compiled 30 to 25 computations (16.7% saved)

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/12 (pow.f64 x 4))
✓	0.1b	(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
✓	0.1b	(/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
✓	47.3b	(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))

Compiler

Compiled 215 to 174 computations (19.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
0.0ms	x	@	0	(/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
0.0ms	x	@	-inf	(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
0.0ms	x	@	inf	(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))
0.0ms	x	@	0	(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`rational.json-5`
908×	`exponential.json-3`
908×	`rational.json-1`
908×	`rational.json-2`
908×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	393
1	201	255
2	561	255
3	1989	255

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))

(/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))

(*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) (+.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (*.f64 1/20160 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2))) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6))) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) (/.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))) (*.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))) (*.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))) (*.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))) (*.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))) (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (*.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/12 (pow.f64 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simplify640.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1296×	`rational.json-simplify-76`
1110×	`rational.json-simplify-55`
970×	`rational.json-simplify-2`
894×	`rational.json-simplify-79`
836×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	7620
1	392	7620
2	681	7620
3	3035	7620
4	6492	7620

Stop Event

1×	node limit

Counts

100 → 118

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/12)
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(fabs.f64 (.f64 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8)))) (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))
(fabs.f64 (.f64 (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8)))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (neg.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (fabs.f64 (/.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 2 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (.f64 (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 2))))

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))))
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) 1/12)
(-.f64 (+.f64 (*.f64 1/240 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2))) 1/12)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 1/240)) 1/12)
(-.f64 (+.f64 (.f64 -1/6048 (pow.f64 x 4)) (+.f64 (.f64 1/240 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))) 1/12)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/240) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 (pow.f64 x 4) -1/6048))) 1/12)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 x 2) 1/240) (.f64 (pow.f64 x 4) -1/6048))) 1/12)
(/.f64 20160 (pow.f64 x 8))
(-.f64 (.f64 20160 (/.f64 1 (pow.f64 x 8))) (.f64 1128960 (/.f64 1 (pow.f64 x 10))))
(-.f64 (+.f64 (.f64 29352960 (/.f64 1 (pow.f64 x 12))) (.f64 20160 (/.f64 1 (pow.f64 x 8)))) (*.f64 1128960 (/.f64 1 (pow.f64 x 10))))
(-.f64 (+.f64 (.f64 20160 (/.f64 1 (pow.f64 x 8))) (.f64 29352960 (/.f64 1 (pow.f64 x 12)))) (*.f64 1128960 (/.f64 1 (pow.f64 x 10))))
(-.f64 (+.f64 (.f64 29352960 (/.f64 1 (pow.f64 x 12))) (.f64 20160 (/.f64 1 (pow.f64 x 8)))) (+.f64 (.f64 153538560 (/.f64 1 (pow.f64 x 14))) (.f64 1128960 (/.f64 1 (pow.f64 x 10)))))
(-.f64 (+.f64 (.f64 20160 (/.f64 1 (pow.f64 x 8))) (.f64 29352960 (/.f64 1 (pow.f64 x 12)))) (+.f64 (.f64 1128960 (/.f64 1 (pow.f64 x 10))) (.f64 153538560 (/.f64 1 (pow.f64 x 14)))))
(/.f64 20160 (pow.f64 x 8))
(-.f64 (.f64 20160 (/.f64 1 (pow.f64 x 8))) (.f64 1128960 (/.f64 1 (pow.f64 x 10))))
(-.f64 (+.f64 (.f64 29352960 (/.f64 1 (pow.f64 x 12))) (.f64 20160 (/.f64 1 (pow.f64 x 8)))) (*.f64 1128960 (/.f64 1 (pow.f64 x 10))))
(-.f64 (+.f64 (.f64 20160 (/.f64 1 (pow.f64 x 8))) (.f64 29352960 (/.f64 1 (pow.f64 x 12)))) (*.f64 1128960 (/.f64 1 (pow.f64 x 10))))
(-.f64 (+.f64 (.f64 29352960 (/.f64 1 (pow.f64 x 12))) (.f64 20160 (/.f64 1 (pow.f64 x 8)))) (+.f64 (.f64 153538560 (/.f64 1 (pow.f64 x 14))) (.f64 1128960 (/.f64 1 (pow.f64 x 10)))))
(-.f64 (+.f64 (.f64 20160 (/.f64 1 (pow.f64 x 8))) (.f64 29352960 (/.f64 1 (pow.f64 x 12)))) (+.f64 (.f64 1128960 (/.f64 1 (pow.f64 x 10))) (.f64 153538560 (/.f64 1 (pow.f64 x 14)))))
(pow.f64 x 4)
(+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/6))
(+.f64 (.f64 1/80 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 6) 1/6) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/80)))
(+.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 6) 1/6) (.f64 (pow.f64 x 8) 1/80)))
(+.f64 (.f64 17/30240 (pow.f64 x 10)) (+.f64 (.f64 1/80 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 (pow.f64 x 6) 1/6) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/80))) (*.f64 (pow.f64 x 10) 17/30240))
(+.f64 (.f64 (pow.f64 x 6) 1/6) (+.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/80)) (*.f64 (pow.f64 x 10) 17/30240)))
(+.f64 (.f64 (pow.f64 x 6) 1/6) (+.f64 (.f64 (pow.f64 x 10) 17/30240) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/80))))
(*.f64 1/406425600 (pow.f64 x 16))
(+.f64 (.f64 1/3628800 (pow.f64 x 14)) (.f64 1/406425600 (pow.f64 x 16)))
(+.f64 (.f64 1/406425600 (pow.f64 x 16)) (.f64 (pow.f64 x 14) 1/3628800))
(+.f64 (.f64 1/3628800 (pow.f64 x 14)) (+.f64 (.f64 1/406425600 (pow.f64 x 16)) (*.f64 29/1814400 (pow.f64 x 12))))
(+.f64 (.f64 1/406425600 (pow.f64 x 16)) (+.f64 (.f64 (pow.f64 x 12) 29/1814400) (*.f64 (pow.f64 x 14) 1/3628800)))
(+.f64 (.f64 1/406425600 (pow.f64 x 16)) (+.f64 (.f64 (pow.f64 x 14) 1/3628800) (*.f64 (pow.f64 x 12) 29/1814400)))
(+.f64 (.f64 1/3628800 (pow.f64 x 14)) (+.f64 (.f64 17/30240 (pow.f64 x 10)) (+.f64 (.f64 1/406425600 (pow.f64 x 16)) (.f64 29/1814400 (pow.f64 x 12)))))
(+.f64 (.f64 (pow.f64 x 10) 17/30240) (+.f64 (.f64 1/406425600 (pow.f64 x 16)) (+.f64 (.f64 (pow.f64 x 12) 29/1814400) (.f64 (pow.f64 x 14) 1/3628800))))
(+.f64 (.f64 1/406425600 (pow.f64 x 16)) (+.f64 (+.f64 (.f64 (pow.f64 x 10) 17/30240) (.f64 (pow.f64 x 12) 29/1814400)) (.f64 (pow.f64 x 14) 1/3628800)))
(+.f64 (.f64 (pow.f64 x 10) 17/30240) (+.f64 (.f64 1/406425600 (pow.f64 x 16)) (+.f64 (.f64 (pow.f64 x 14) 1/3628800) (.f64 (pow.f64 x 12) 29/1814400))))
(*.f64 1/406425600 (pow.f64 x 16))
(+.f64 (.f64 1/3628800 (pow.f64 x 14)) (.f64 1/406425600 (pow.f64 x 16)))
(+.f64 (.f64 1/406425600 (pow.f64 x 16)) (.f64 (pow.f64 x 14) 1/3628800))
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(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (neg.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6))))))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (fabs.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (fabs.f64 (/.f64 (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (-.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (.f64 1/360 (pow.f64 x 6))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))
(.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 2 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (.f64 (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (*.f64 1/360 (pow.f64 x 6)))))) 2))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8)))))) (/.f64 (.f64 2 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8)))))) (.f64 2 (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8))))))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8))))) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))))) (/.f64 (.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/20160 (pow.f64 x 8)))))) (.f64 2 (fabs.f64 (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8))))))))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 (.f64 2 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6)))))) (.f64 2 (fabs.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/360 (pow.f64 x 6))))))))))

localize207.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
✓	0.0b	(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
✓	0.0b	(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
	1.5b	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)

Compiler

Compiled 205 to 69 computations (66.3% saved)

series11.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
2.0ms	x	@	-inf	(.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
1.0ms	x	@	inf	(.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
1.0ms	x	@	inf	(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
1.0ms	x	@	-inf	(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))

rewrite271.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`rational.json-simplify-47`
990×	`rational.json-simplify-55`
716×	`rational.json-5`
714×	`exponential.json-3`
714×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	381
1	146	381
2	443	195
3	1633	195
4	6938	195

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(*.f64 (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))

(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))

(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))

Outputs

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simplify779.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1790×	`rational.json-simplify-111`
1006×	`rational.json-simplify-54`
752×	`rational.json-simplify-2`
648×	`rational.json-simplify-1`
556×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	10219
1	603	10219
2	1172	10219
3	2462	10219
4	6431	10219

Stop Event

1×	node limit

Counts

145 → 158

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(pow.f64 x 4)
(+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4))
(+.f64 (.f64 1/80 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4)))
(+.f64 (.f64 17/30240 (pow.f64 x 10)) (+.f64 (.f64 1/80 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4))))
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 x 8)
(+.f64 (pow.f64 x 8) (*.f64 1/3 (pow.f64 x 10)))
(+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (.f64 19/360 (pow.f64 x 12))))
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(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (/.f64 (*.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (fabs.f64 (/.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (fabs.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (/.f64 (/.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (fabs.f64 (/.f64 (/.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (/.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (/.f64 (fabs.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 2 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (fabs.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 2))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))) (fabs.f64 (/.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))))))
(fabs.f64 (/.f64 (.f64 (.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))) (neg.f64 (fabs.f64 (/.f64 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))) (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))))))

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (+.f64 (pow.f64 x 2) (.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(pow.f64 x 4)
(+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/6))
(+.f64 (.f64 1/80 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 6) 1/6) (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/80)))
(+.f64 (pow.f64 x 4) (+.f64 (.f64 (pow.f64 x 6) 1/6) (.f64 (pow.f64 x 8) 1/80)))
(+.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/6)) (.f64 (pow.f64 x 8) 1/80))
(+.f64 (.f64 17/30240 (pow.f64 x 10)) (+.f64 (.f64 1/80 (pow.f64 x 8)) (+.f64 (*.f64 1/6 (pow.f64 x 6)) (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 8) 1/80) (+.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/6)) (*.f64 17/30240 (pow.f64 x 10))))
(+.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 6) 1/6)) (+.f64 (.f64 17/30240 (pow.f64 x 10)) (*.f64 (pow.f64 x 8) 1/80)))
(+.f64 (pow.f64 x 4) (+.f64 (+.f64 (.f64 (pow.f64 x 6) 1/6) (.f64 (pow.f64 x 8) 1/80)) (*.f64 17/30240 (pow.f64 x 10))))
(+.f64 (pow.f64 x 4) (+.f64 (.f64 17/30240 (pow.f64 x 10)) (+.f64 (.f64 (pow.f64 x 6) 1/6) (*.f64 (pow.f64 x 8) 1/80))))
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 2)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 2)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 2)
(pow.f64 x 8)
(+.f64 (pow.f64 x 8) (*.f64 1/3 (pow.f64 x 10)))
(+.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 10) 1/3))
(+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (.f64 19/360 (pow.f64 x 12))))
(+.f64 (.f64 (pow.f64 x 10) 1/3) (+.f64 (.f64 19/360 (pow.f64 x 12)) (pow.f64 x 8)))
(+.f64 (.f64 (pow.f64 x 10) 1/3) (+.f64 (pow.f64 x 8) (.f64 19/360 (pow.f64 x 12))))
(+.f64 (.f64 1/189 (pow.f64 x 14)) (+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (*.f64 19/360 (pow.f64 x 12)))))
(+.f64 (+.f64 (.f64 (pow.f64 x 10) 1/3) (+.f64 (.f64 19/360 (pow.f64 x 12)) (pow.f64 x 8))) (*.f64 1/189 (pow.f64 x 14)))
(+.f64 (.f64 (pow.f64 x 10) 1/3) (+.f64 (+.f64 (pow.f64 x 8) (.f64 19/360 (pow.f64 x 12))) (*.f64 1/189 (pow.f64 x 14))))
(+.f64 (pow.f64 x 8) (+.f64 (.f64 (pow.f64 x 10) 1/3) (+.f64 (.f64 19/360 (pow.f64 x 12)) (*.f64 1/189 (pow.f64 x 14)))))
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
(pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)
(pow.f64 (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2) 4)
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 0)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(+.f64 0 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 0)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 0 (-.f64 (-.f64 2 (exp.f64 x)) (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
(-.f64 (-.f64 (exp.f64 x) 2) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -2)
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eval1.1s (4.3%)

Compiler: Compiled 40176 to 21855 computations (45.6% saved)

prune418.0ms (1.6%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	738	6	744
Fresh	0	0	0
Picked	1	0	1
Done	4	6	10
Total	743	12	755

Error

0.0b

Counts

755 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.1b	(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
✓	0.9b	(pow.f64 x 2)
▶	28.9b	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
✓	0.6b	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
✓	0.4b	(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
▶	29.6b	(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
▶	29.2b	(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))
✓	0.3b	(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
▶	62.5b	(.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
✓	48.2b	(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
	57.6b	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
✓	30.2b	(*.f64 1/20160 (pow.f64 x 8))

Compiler

Compiled 716 to 565 computations (21.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
✓	29.4b	(.f64 (.f64 x x) (/.f64 1 x))

Compiler

Compiled 26 to 14 computations (46.2% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) (/.f64 1 x))
0.0ms	x	@	-inf	(.f64 (.f64 x x) (/.f64 1 x))
0.0ms	x	@	inf	(.f64 (.f64 x x) (/.f64 1 x))
0.0ms	x	@	0	(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
0.0ms	x	@	inf	(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)

rewrite117.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`rational.json-simplify-47`
998×	`rational.json-simplify-54`
786×	`rational.json-simplify-58`
722×	`rational.json-simplify-76`
570×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	81	8
2	270	8
3	878	8
4	4079	8

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(.f64 (.f64 x x) (/.f64 1 x))
(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (/.f64 x x) (/.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (pow.f64 (/.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (pow.f64 (*.f64 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (*.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (*.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 (/.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (*.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (pow.f64 (*.f64 (/.f64 x x) (/.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (/.f64 1 (pow.f64 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (/.f64 (/.f64 x x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (/.f64 (*.f64 x (/.f64 1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (*.f64 (/.f64 1 x) (/.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) 1) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (pow.f64 (*.f64 (/.f64 x x) (/.f64 x x)) 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (fabs.f64 x)) 2) (pow.f64 (fabs.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (*.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (*.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)) (pow.f64 (/.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (/.f64 (/.f64 1 x) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) 1) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) 1) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 (/.f64 x x) x) 2) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 (*.f64 x (/.f64 1 x)) x) 2) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 x x)) 2) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fabs.f64 x) 2) (*.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (*.f64 (/.f64 1 x) (fabs.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (/.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)) 1) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (/.f64 (pow.f64 (/.f64 (/.f64 1 x) (*.f64 x x)) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2))) (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2)) (*.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x 2)))))))

simplify188.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1314×	`rational.json-simplify-2`
946×	`rational.json-simplify-43`
772×	`rational.json-simplify-54`
764×	`rational.json-simplify-111`
754×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	596
1	347	596
2	676	596
3	2069	596
4	5103	596

Stop Event

1×	node limit

Counts

104 → 82

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 x 0)
(+.f64 0 x)
(-.f64 x 0)
(-.f64 0 (neg.f64 x))
(-.f64 (-.f64 0 (-.f64 -1 x)) 1)
(/.f64 x 1)
(/.f64 x (/.f64 x x))
(/.f64 x (/.f64 (/.f64 x x) (/.f64 x x)))
(pow.f64 x 1)
(neg.f64 (neg.f64 x))
(+.f64 (pow.f64 x 2) 0)
(+.f64 0 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 0)
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (pow.f64 (/.f64 x x) 2))
(.f64 (pow.f64 x 2) (pow.f64 (.f64 x (/.f64 1 x)) 2))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) 1))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 (/.f64 x x) 2)))
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 x x) 2)))
(.f64 (pow.f64 x 2) (pow.f64 (.f64 (/.f64 x x) (/.f64 x x)) 2))
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 1 (pow.f64 x 2)) 1))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) 1))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 x) 2)))
(.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 1 x) 2)))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 (/.f64 x x) x) 2))
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 (*.f64 x (/.f64 1 x)) x) 2))
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (*.f64 (/.f64 1 x) (/.f64 x x)) 2))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) 1) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (*.f64 (/.f64 x x) (/.f64 x x)) 2) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (fabs.f64 x) 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (fabs.f64 x)) 2) (pow.f64 (fabs.f64 x) 2)))
(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
(*.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2))
(.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 x 2))
(.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) 1))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (/.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (/.f64 (/.f64 1 x) (*.f64 x x)) 2))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 1 (pow.f64 x 2)) 1) (pow.f64 (.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) 1) (pow.f64 (.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (/.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 (/.f64 x x) x) 2) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 (.f64 x (/.f64 1 x)) x) 2) (pow.f64 (.f64 x x) 2)))
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(.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2))
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) 2)))
(.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (.f64 (/.f64 1 x) (fabs.f64 x)) 2))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) 1) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2)))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2)))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (pow.f64 (/.f64 (/.f64 1 x) (.f64 x x)) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(.f64 (.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2))) (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2))))
(/.f64 (pow.f64 x 2) 1)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(neg.f64 (neg.f64 (pow.f64 x 2)))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(+.f64 x 0)
x
(+.f64 0 x)
x
(-.f64 x 0)
x
(-.f64 0 (neg.f64 x))
x
(-.f64 (-.f64 0 (-.f64 -1 x)) 1)
x
(/.f64 x 1)
x
(/.f64 x (/.f64 x x))
x
(/.f64 x (/.f64 (/.f64 x x) (/.f64 x x)))
x
(pow.f64 x 1)
x
(neg.f64 (neg.f64 x))
x
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(+.f64 0 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (pow.f64 (/.f64 x x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (pow.f64 (.f64 x (/.f64 1 x)) 2))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) 1))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 (/.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 x 2) (pow.f64 (.f64 (/.f64 x x) (/.f64 x x)) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 1 (pow.f64 x 2)) 1))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) 1))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 1 x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (*.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 (/.f64 x x) x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 (*.f64 x (/.f64 1 x)) x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (*.f64 (/.f64 1 x) (/.f64 x x)) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) 1) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (*.f64 (/.f64 x x) (/.f64 x x)) 2) (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (*.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (fabs.f64 x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (pow.f64 (*.f64 (/.f64 1 x) (fabs.f64 x)) 2) (pow.f64 (fabs.f64 x) 2)))
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(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
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(*.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2))
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(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
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(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) 1))
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(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (/.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (/.f64 (/.f64 1 x) (*.f64 x x)) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 1 (pow.f64 x 2)) 1) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) 1) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 (/.f64 1 x) 2)) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (/.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2) (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 (/.f64 x x) x) 2) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (pow.f64 (/.f64 (.f64 x (/.f64 1 x)) x) 2) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (/.f64 (pow.f64 (.f64 (/.f64 1 x) (/.f64 x x)) 2) (pow.f64 (.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (fabs.f64 x) 2) (.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (/.f64 1 x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (fabs.f64 x) 2) (pow.f64 (.f64 (/.f64 1 x) (fabs.f64 x)) 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) 1) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2)))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (/.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2)))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 x x) 2) (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (/.f64 (pow.f64 (/.f64 (/.f64 1 x) (.f64 x x)) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)))
(pow.f64 x 2)
(.f64 (.f64 (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2))) (/.f64 (/.f64 (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2)) (.f64 (pow.f64 (.f64 x (.f64 x (.f64 x x))) 2) (pow.f64 (.f64 x (.f64 x (*.f64 x x))) 2))))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	1.5b	(+.f64 (+.f64 (pow.f64 x 2) 1) -1)

Compiler

Compiled 20 to 16 computations (20% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
0.0ms	x	@	inf	(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
0.0ms	x	@	-inf	(+.f64 (+.f64 (pow.f64 x 2) 1) -1)

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`rational.json-5`
1166×	`exponential.json-3`
1166×	`rational.json-1`
1166×	`rational.json-2`
1166×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	75	7
2	205	7
3	651	7
4	2393	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(+.f64 (+.f64 (pow.f64 x 2) 1) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 2 (-.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (pow.f64 x 2) -3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 1 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -2 (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (neg.f64 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x 2)))))))

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-111`
1128×	`rational.json-simplify-50`
834×	`rational.json-simplify-1`
706×	`rational.json-simplify-42`
556×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	308
1	136	308
2	442	308
3	2066	308
4	4669	308

Stop Event

1×	node limit

Counts

44 → 32

Calls

Call 1

Inputs
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(-.f64 2 (-.f64 2 (pow.f64 x 2)))
(-.f64 (pow.f64 x 2) 0)
(-.f64 1 (-.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (pow.f64 x 2) 1) 1)
(-.f64 -1 (-.f64 -1 (pow.f64 x 2)))
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(-.f64 (+.f64 (pow.f64 x 2) -1) -1)
(-.f64 (+.f64 2 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (pow.f64 x 2) -2) -2)
(-.f64 (-.f64 (pow.f64 x 2) -3) 3)
(-.f64 (-.f64 0 (-.f64 1 (pow.f64 x 2))) -1)
(-.f64 (-.f64 0 (-.f64 -2 (pow.f64 x 2))) 2)
(-.f64 (-.f64 -1 (neg.f64 (pow.f64 x 2))) -1)
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(*.f64 1 (pow.f64 x 2))
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
(.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (*.f64 x x)) 2))
(.f64 (.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)))
(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
(/.f64 (pow.f64 x 2) 1)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(pow.f64 (pow.f64 x 2) 1)
(neg.f64 (neg.f64 (pow.f64 x 2)))

Outputs
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(-.f64 2 (-.f64 2 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(-.f64 1 (-.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 (+.f64 (pow.f64 x 2) 1) 1)
(pow.f64 x 2)
(-.f64 -1 (-.f64 -1 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 0 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(-.f64 (+.f64 (pow.f64 x 2) -1) -1)
(pow.f64 x 2)
(-.f64 (+.f64 2 (pow.f64 x 2)) 2)
(pow.f64 x 2)
(-.f64 (+.f64 (pow.f64 x 2) -2) -2)
(pow.f64 x 2)
(-.f64 (-.f64 (pow.f64 x 2) -3) 3)
(pow.f64 x 2)
(-.f64 (-.f64 0 (-.f64 1 (pow.f64 x 2))) -1)
(pow.f64 x 2)
(-.f64 (-.f64 0 (-.f64 -2 (pow.f64 x 2))) 2)
(pow.f64 x 2)
(-.f64 (-.f64 -1 (neg.f64 (pow.f64 x 2))) -1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(pow.f64 x 2)
(*.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (/.f64 1 x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2)) (pow.f64 x 2)))
(pow.f64 x 2)
(*.f64 (neg.f64 (/.f64 (pow.f64 x 2) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)
(.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (/.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (*.f64 x x) 2)))
(pow.f64 x 2)
(.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (*.f64 x x)) 2))
(pow.f64 x 2)
(.f64 (.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)) (/.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 (.f64 x x) 2)) (pow.f64 (.f64 (.f64 x x) (.f64 x x)) 2)))
(pow.f64 x 2)
(.f64 (pow.f64 (/.f64 1 x) 2) (pow.f64 (.f64 x x) 2))
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(/.f64 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(neg.f64 (neg.f64 (pow.f64 x 2)))
(pow.f64 x 2)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 2 (exp.f64 (neg.f64 x)))
✓	2.4b	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(-.f64 2 (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(-.f64 2 (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
0.0ms	x	@	inf	(-.f64 2 (exp.f64 (neg.f64 x)))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1896×	`rational.json-1`
1896×	`rational.json-2`
1896×	`rational.json-3`
1894×	`rational.json-5`
1892×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	88	40
2	297	40
3	1050	40
4	3885	40

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 2 (exp.f64 (neg.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 2 (exp.f64 (neg.f64 x)))) (-.f64 1 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 2 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 2 (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x))))) (/.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 2))))))

simplify176.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-2`
1272×	`rational.json-simplify-50`
1024×	`rational.json-simplify-58`
1004×	`rational.json-simplify-43`
994×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1237
1	193	1237
2	471	1237
3	2142	1237
4	5531	1237

Stop Event

1×	node limit

Counts

57 → 64

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) x)))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 0)
(+.f64 0 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 -1 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 1)
(+.f64 (-.f64 -1 (-.f64 2 (exp.f64 (neg.f64 x)))) (-.f64 1 (neg.f64 (exp.f64 x))))
(*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(*.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(.f64 (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(.f64 (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) 1))
(.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(.f64 (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))))
(/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(pow.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 0)
(+.f64 0 (-.f64 2 (exp.f64 (neg.f64 x))))
(+.f64 (-.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)
(*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 2 (exp.f64 (neg.f64 x))))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) -1)
(.f64 (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) 1))
(.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x))))) (/.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)
(/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) -1)
(pow.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 2))

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 (pow.f64 x 2) -1/2) (+.f64 x 1))
(+.f64 (+.f64 x 1) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) -1/2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) x)))
(+.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 x 1)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (+.f64 x 1) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (+.f64 x 1) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(+.f64 (+.f64 x 1) (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3))))
(+.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/6 (pow.f64 x 3)))))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(-.f64 2 (exp.f64 (neg.f64 x)))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(-.f64 2 (exp.f64 (neg.f64 x)))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(-.f64 2 (exp.f64 (neg.f64 x)))
(-.f64 2 (exp.f64 (*.f64 -1 x)))
(-.f64 2 (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 0)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 0 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) (exp.f64 x))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (-.f64 -1 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 1)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (-.f64 -1 (-.f64 2 (exp.f64 (neg.f64 x)))) (-.f64 1 (neg.f64 (exp.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(*.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(*.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (*.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) 1))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))) (*.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (/.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(/.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) -1)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(neg.f64 (-.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))
(+.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 0)
(-.f64 2 (exp.f64 (neg.f64 x)))
(+.f64 0 (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 2 (exp.f64 (neg.f64 x)))
(+.f64 (-.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 2)) 1)
(-.f64 2 (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)
(-.f64 2 (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))
(-.f64 2 (exp.f64 (neg.f64 x)))
(*.f64 1 (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 2 (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) -1)
(-.f64 2 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))))
(-.f64 2 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) 1))
(-.f64 2 (exp.f64 (neg.f64 x)))
(.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))
(-.f64 2 (exp.f64 (neg.f64 x)))
(.f64 (.f64 (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))) (.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x))))) (/.f64 (/.f64 1 (-.f64 2 (exp.f64 (neg.f64 x)))) (*.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x))))))
(-.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)
(-.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (/.f64 (-.f64 2 (exp.f64 (neg.f64 x))) (-.f64 2 (exp.f64 (neg.f64 x)))))
(-.f64 2 (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 (neg.f64 x)) 2) -1)
(-.f64 2 (exp.f64 (neg.f64 x)))
(pow.f64 (-.f64 2 (exp.f64 (neg.f64 x))) 1)
(-.f64 2 (exp.f64 (neg.f64 x)))
(neg.f64 (-.f64 (exp.f64 (neg.f64 x)) 2))
(-.f64 2 (exp.f64 (neg.f64 x)))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 2)
✓	0.0b	(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))
	0.1b	(*.f64 1/12 (pow.f64 x 4))
	1.5b	(+.f64 (+.f64 (pow.f64 x 2) 1) -1)

Compiler

Compiled 43 to 35 computations (18.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))

0.0ms

-inf

(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))

0.0ms

inf

(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`rational.json-5`
1986×	`rational.json-1`
1986×	`rational.json-2`
1986×	`rational.json-4`
1986×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	115	25
2	309	25
3	1032	25
4	3989	25

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)))))

simplify287.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1338×	`rational.json-simplify-47`
1080×	`rational.json-simplify-49`
904×	`exponential.json-simplify-26`
870×	`rational.json-simplify-2`
844×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	583
1	69	583
2	209	583
3	1169	583
4	5073	583
5	7908	583

Stop Event

1×	node limit

Counts

25 → 16

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) -1)) -1)
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) 1)
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) 1))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)

Outputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 0)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (pow.f64 x 2) (+.f64 1 (*.f64 1/12 (pow.f64 x 4)))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 (*.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) -1)) -1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (/.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) 1))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))) (/.f64 (/.f64 1 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))) (.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (/.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))
✓	0.0b	(.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
✓	0.0b	(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
	1.5b	(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)

Compiler

Compiled 130 to 48 computations (63.1% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)
0.0ms	x	@	0	(.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
0.0ms	x	@	-inf	(.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
0.0ms	x	@	inf	(.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
0.0ms	x	@	inf	(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)

rewrite172.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`rational.json-simplify-47`
786×	`rational.json-simplify-49`
694×	`rational.json-5`
692×	`exponential.json-3`
692×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	158
1	143	158
2	420	158
3	1503	158
4	6162	158

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

Inputs

(pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4)

(*.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4) (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4) (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4) (pow.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)) (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 4) (/.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)) (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (/.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))))))

simplify194.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1500×	`rational.json-simplify-111`
898×	`rational.json-simplify-54`
814×	`rational.json-simplify-55`
668×	`rational.json-simplify-50`
656×	`rational.json-simplify-104`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	100	2235
1	188	2235
2	351	2235
3	939	2235
4	3191	2235

Stop Event

1×	node limit

Counts

45 → 53

Calls

Call 1

Inputs
(pow.f64 x 8)
(+.f64 (pow.f64 x 8) (*.f64 1/3 (pow.f64 x 10)))
(+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (.f64 19/360 (pow.f64 x 12))))
(+.f64 (.f64 1/189 (pow.f64 x 14)) (+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (*.f64 19/360 (pow.f64 x 12)))))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 0)
(+.f64 0 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4))
(-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 0)
(-.f64 0 (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4))) 1)
(*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 1)
(*.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))
(*.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4) (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4) (*.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)) 1))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4) (pow.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4))
(.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)) (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 4) (/.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)) (pow.f64 (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) 4)))
(/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) 1)
(/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))
(neg.f64 (neg.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4)))
(+.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 0)
(+.f64 0 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))
(-.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 0)
(-.f64 0 (neg.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))) 1)
(/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 1)
(/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))
(pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 1)
(neg.f64 (neg.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))

Outputs
(pow.f64 x 8)
(+.f64 (pow.f64 x 8) (*.f64 1/3 (pow.f64 x 10)))
(+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (.f64 19/360 (pow.f64 x 12))))
(+.f64 (.f64 1/3 (pow.f64 x 10)) (+.f64 (pow.f64 x 8) (.f64 19/360 (pow.f64 x 12))))
(+.f64 (.f64 1/189 (pow.f64 x 14)) (+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (*.f64 19/360 (pow.f64 x 12)))))
(+.f64 (pow.f64 x 8) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 10)) (.f64 19/360 (pow.f64 x 12))) (*.f64 1/189 (pow.f64 x 14))))
(+.f64 (.f64 1/3 (pow.f64 x 10)) (+.f64 (+.f64 (pow.f64 x 8) (.f64 19/360 (pow.f64 x 12))) (*.f64 1/189 (pow.f64 x 14))))
(+.f64 (pow.f64 x 8) (+.f64 (.f64 1/3 (pow.f64 x 10)) (+.f64 (.f64 19/360 (pow.f64 x 12)) (*.f64 1/189 (pow.f64 x 14)))))
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2) 4)
(pow.f64 (-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2) 4)
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(pow.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) 4)
(+.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 0)
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(.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
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(-.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 0)
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(.f64 (pow.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))) (.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))))))
(-.f64 0 (neg.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))
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(-.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))))) 1)
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(/.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 1)
(.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(.f64 (pow.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))) (.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))))))
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(pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))))) 1)
(.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(.f64 (pow.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))) (.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))))))
(neg.f64 (neg.f64 (.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))))
(.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x)))) (.f64 (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))) (-.f64 (exp.f64 (neg.f64 x)) (-.f64 2 (exp.f64 x))))))
(.f64 (pow.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) 4) (/.f64 (/.f64 1 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))) (.f64 (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x)))))))

eval680.0ms (2.6%)

Compiler: Compiled 14657 to 7856 computations (46.4% saved)

prune282.0ms (1.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	505	3	508
Fresh	0	1	1
Picked	1	0	1
Done	3	7	10
Total	509	11	520

Error

0.0b

Counts

520 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(pow.f64 x 2)
	29.6b	(-.f64 (-.f64 (pow.f64 x 2) -3) 3)
✓	28.9b	(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
	30.1b	(-.f64 (exp.f64 x) 1)
✓	0.6b	(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
✓	0.4b	(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
✓	29.2b	(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))
✓	0.3b	(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
	62.5b	(*.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)))
✓	48.2b	(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
	57.6b	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))

Compiler

Compiled 403 to 325 computations (19.4% saved)

regimes59.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
(pow.f64 x 2)
(-.f64 (exp.f64 x) 1)
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
(-.f64 (-.f64 (pow.f64 x 2) -3) 3)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
(*.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 2)))
(.f64 (pow.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) 4) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
(.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))
(.f64 (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)))) (/.f64 (/.f64 1 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)) (*.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2))))
(.f64 (.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))) (.f64 (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6)))))) (/.f64 1 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (.f64 1/360 (pow.f64 x 6))))))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/20160 (pow.f64 x 8)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))))))

Outputs
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))

Calls

2 calls:

24.0ms	x
6.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 568 to 398 computations (29.9% saved)

regimes31.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(pow.f64 x 2)
(-.f64 (exp.f64 x) 1)
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
(-.f64 (-.f64 (pow.f64 x 2) -3) 3)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))

Outputs
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))

Calls

2 calls:

18.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 132 to 98 computations (25.8% saved)

regimes32.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(pow.f64 x 2)
(-.f64 (exp.f64 x) 1)
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
(-.f64 (-.f64 (pow.f64 x 2) -3) 3)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (+.f64 (pow.f64 x 2) 1) -1) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1) (*.f64 1/12 (pow.f64 x 4)))

Outputs
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))

Calls

2 calls:

17.0ms	x
8.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.6b	1	`x`
0.6b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 117 to 86 computations (26.5% saved)

regimes23.0ms (0.1%)

Accuracy

Total -29.4b remaining (-3195.1%)

Threshold costs -29.4b (-3195.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(pow.f64 x 2)
(-.f64 (exp.f64 x) 1)
(*.f64 1/20160 (pow.f64 x 8))
(+.f64 (+.f64 (pow.f64 x 2) 1) -1)
(-.f64 (-.f64 (pow.f64 x 2) -3) 3)
(-.f64 (-.f64 0 (-.f64 -1 (pow.f64 x 2))) 1)
(pow.f64 (.f64 (.f64 x x) (/.f64 1 x)) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 (neg.f64 x))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)

Outputs
(pow.f64 x 2)

Calls

2 calls:

14.0ms	x
5.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 80 to 55 computations (31.3% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 x 2)

Outputs
(+.f64 (+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 1/20160 (pow.f64 x 8))) (+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2)))
(+.f64 (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 x 2)

Compiler

Compiled 52 to 42 computations (19.2% saved)

soundness331.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational.json-simplify-58`
980×	`rational.json-simplify-41`
956×	`rational.json-simplify-47`
954×	`rational.json-simplify-1`
720×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1203
1	158	1203
2	341	1203
3	1151	1203
4	3800	1203
5	6018	1203

Stop Event

1×	node limit

Compiler

Compiled 43 to 35 computations (18.6% saved)

end58.0ms (0.2%)

Compiler: Compiled 49 to 39 computations (20.4% saved)