Details

analyze122.0ms (0.6%)

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
25%	25%	75%	0%	0%	0%	0%	3
28.6%	25%	62.5%	0%	0%	0%	12.5%	4
30.8%	25%	56.2%	0%	0%	0%	18.7%	5
36%	28.1%	50%	0%	0%	0%	21.9%	6
38.8%	29.7%	46.9%	0%	0%	0%	23.4%	7
40.2%	30.5%	45.3%	0%	0%	0%	24.2%	8
40.7%	30.8%	44.9%	0%	0%	0%	24.2%	9
41.2%	31.2%	44.5%	0%	0%	0%	24.2%	10
41.4%	31.3%	44.4%	0%	0%	0%	24.2%	11
41.5%	31.4%	44.3%	0%	0%	0%	24.3%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.4s (7.2%)

Results

729.0ms	2730×	body	1024	valid
332.0ms	3957×	body	256	valid
209.0ms	1289×	body	512	valid
107.0ms	280×	body	2048	valid
0.0ms	4×	body	256	unsamplable

Bogosity

preprocess11.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-16`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	10	21
2	11	21
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-16`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	10	21
2	11	21

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))

eval1.0ms (0%)

Compiler: Compiled 15 to 8 computations (46.7% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

40.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	3.4b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 16 to 8 computations (50% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational.json-5`
1488×	`exponential.json-3`
1488×	`rational.json-1`
1488×	`rational.json-2`
1488×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	67	32
2	216	32
3	784	32
4	2931	32

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) 1)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

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

Outputs

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

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

simplify174.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational.json-simplify-47`
1092×	`rational.json-simplify-2`
822×	`rational.json-simplify-54`
796×	`rational.json-simplify-1`
748×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	766
1	189	766
2	381	766
3	1441	766
4	5519	766

Stop Event

1×	node limit

Counts

44 → 60

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(*.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) -1)))
(*.f64 (neg.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (-.f64 1 (exp.f64 x)))
(.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(.f64 (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (*.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))
(.f64 (.f64 (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))))
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(-.f64 0 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) 1)
(*.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))
(.f64 (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))))
(.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(neg.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 x (+.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 4))) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (+.f64 1/2 (/.f64 1 x)) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 (.f64 x 1/12) (+.f64 (+.f64 1/2 (/.f64 1 x)) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(*.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (/.f64 1 (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (/.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) -1)))
(+.f64 (exp.f64 x) -1)
(*.f64 (neg.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (*.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))
(+.f64 (exp.f64 x) -1)
(.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (*.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))))
(+.f64 (exp.f64 x) -1)
(.f64 (.f64 (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (exp.f64 x) -1)) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x)))) (.f64 (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))) (.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))))
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (exp.f64 x))))
(+.f64 (exp.f64 x) -1)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(-.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 0)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(-.f64 0 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) 1)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(*.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (*.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(.f64 (.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))) (/.f64 (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)))))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1)) 1)
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))
(neg.f64 (neg.f64 (/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))))
(/.f64 (exp.f64 x) (+.f64 (exp.f64 x) -1))

eval16.0ms (0.1%)

Compiler: Compiled 1153 to 685 computations (40.6% saved)

prune13.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Error

Counts

61 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
▶	1.1b	(/.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
▶	1.3b	(/.f64 (exp.f64 x) x)
▶	22.0b	(/.f64 1 x)
	22.4b	(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
▶	22.1b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
▶	22.1b	(+.f64 1/2 (/.f64 1 x))

Compiler

Compiled 112 to 85 computations (24.1% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

series3.0ms (0%)

Counts

3 → 15

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
0.0ms	x	@	inf	(/.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
0.0ms	x	@	-inf	(/.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
0.0ms	x	@	inf	(*.f64 1/2 (pow.f64 x 2))
0.0ms	x	@	0	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`rational.json-5`
1912×	`exponential.json-3`
1912×	`rational.json-1`
1912×	`rational.json-2`
1912×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	90	61
2	276	61
3	1004	61
4	3775	61

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

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

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

Outputs

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

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

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

simplify235.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-47`
1148×	`rational.json-simplify-49`
1060×	`rational.json-simplify-2`
924×	`rational.json-simplify-1`
890×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1265
1	160	1259
2	389	1259
3	1621	1259
4	6222	1259

Stop Event

1×	node limit

Counts

43 → 53

Calls

Call 1

Inputs
x
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (.f64 1/4 x))))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 1)
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1))
(.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (/.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1)
(.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) 1))
(.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))))) (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 0)
(/.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)

Outputs
x
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x 2))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/4 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/4)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(+.f64 1/2 (+.f64 (.f64 1/24 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (.f64 1/4 x))))
(+.f64 1/2 (+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 2) 1/24))))
(+.f64 (+.f64 1/2 (+.f64 (/.f64 1 x) (.f64 x 1/4))) (.f64 (pow.f64 x 2) 1/24))
(+.f64 (+.f64 1/2 (.f64 x 1/4)) (+.f64 (/.f64 1 x) (.f64 (pow.f64 x 2) 1/24)))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/4))) (.f64 (pow.f64 x 2) 1/24))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (*.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))))))
(*.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2)))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (*.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3)))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (*.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))))
(+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4)))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))))
(+.f64 (.f64 2 (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 -4 (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (.f64 8 (/.f64 (exp.f64 x) (pow.f64 x 4))) (.f64 -16 (/.f64 (exp.f64 x) (pow.f64 x 5))))))
(-.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 0)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (/.f64 (/.f64 1 (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(pow.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 0 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 0)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) 1)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) 1))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(.f64 (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))))) (/.f64 (/.f64 1 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) (.f64 (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (/.f64 (exp.f64 x) (+.f64 x (.f64 1/2 (pow.f64 x 2)))))))
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(pow.f64 (/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2)))) 1)
(/.f64 (exp.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) 0)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/2 (pow.f64 x 2))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 0)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(*.f64 1/2 (pow.f64 x 2))
(/.f64 (*.f64 1/2 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (pow.f64 x 2)))
(.f64 (pow.f64 (.f64 x x) 2) (/.f64 1/2 (pow.f64 x 2)))
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(*.f64 1/2 (pow.f64 x 2))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`rational.json-5`
1132×	`exponential.json-3`
1132×	`rational.json-1`
1132×	`rational.json-2`
1132×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	58	13
2	169	13
3	591	13
4	2243	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1594×	`rational.json-simplify-2`
1408×	`rational.json-simplify-50`
1158×	`rational.json-simplify-58`
1156×	`rational.json-simplify-43`
1012×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	366
1	102	282
2	312	282
3	1956	282
4	5293	282

Stop Event

1×	node limit

Counts

24 → 24

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (*.f64 x 1/12))
✓	0.0b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
✓	0.3b	(*.f64 x 1/12)

Compiler

Compiled 25 to 19 computations (24% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x 1/12)
0.0ms	x	@	0	(*.f64 x 1/12)
0.0ms	x	@	-inf	(*.f64 x 1/12)
0.0ms	x	@	inf	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
0.0ms	x	@	inf	(+.f64 1/2 (*.f64 x 1/12))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`rational.json-5`
1754×	`exponential.json-3`
1754×	`rational.json-1`
1754×	`rational.json-2`
1754×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	85	45
2	248	45
3	891	45
4	3490	45

Stop Event

1×	node limit

Counts

3 → 28

Calls

Call 1

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

Outputs

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

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

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

simplify239.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

998×	`rational.json-simplify-47`
792×	`rational.json-simplify-2`
692×	`rational.json-simplify-41`
670×	`rational.json-simplify-49`
666×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	1270
1	127	1270
2	347	1270
3	1358	1270
4	4343	1270
5	7233	1270

Stop Event

1×	node limit

Counts

64 → 46

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite168.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`rational.json-5`
1276×	`exponential.json-3`
1276×	`rational.json-1`
1276×	`rational.json-2`
1276×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	50	11
2	179	11
3	665	11
4	2500	11

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) x)

Outputs

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

simplify143.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1502×	`rational.json-simplify-111`
1030×	`rational.json-simplify-47`
806×	`rational.json-simplify-2`
702×	`rational.json-simplify-55`
618×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	275
1	100	275
2	216	275
3	996	275
4	4700	275

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

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

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

eval113.0ms (0.6%)

Compiler: Compiled 2728 to 1890 computations (30.7% saved)

prune24.0ms (0.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	148	10	158

Error

Counts

158 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	1.3b	(/.f64 (exp.f64 x) x)
✓	22.0b	(/.f64 1 x)
▶	22.4b	(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
▶	22.3b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
✓	22.1b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
✓	22.1b	(+.f64 1/2 (/.f64 1 x))
▶	44.3b	(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
▶	52.7b	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))))
	61.9b	1/2

Compiler

Compiled 165 to 131 computations (20.6% saved)

localize75.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
✓	0.3b	(.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x)))
	0.3b	(*.f64 x 1/12)
✓	45.1b	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))))

Compiler

Compiled 211 to 168 computations (20.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite172.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`rational.json-5`
828×	`exponential.json-3`
828×	`rational.json-1`
828×	`rational.json-2`
828×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	297
1	160	237
2	500	177
3	1855	111
4	7302	111

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs

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

(*.f64 (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x)))

(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> 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simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-2`
980×	`rational.json-simplify-41`
870×	`rational.json-simplify-47`
752×	`rational.json-simplify-55`
606×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	241	4162
1	552	4162
2	1053	4162
3	3452	4162

Stop Event

1×	node limit

Counts

122 → 144

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 5/12 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 5/12 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (*.f64 1/12 x))))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(/.f64 12 x)
(-.f64 (.f64 12 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 4)))))
(/.f64 12 x)
(-.f64 (.f64 12 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))
(+.f64 1 (-.f64 (*.f64 x 1/12) (-.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/12))
(+.f64 0 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
(+.f64 (+.f64 (*.f64 x 1/12) 1/2) (/.f64 1 x))
(+.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2)
(+.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(+.f64 (-.f64 (*.f64 x 1/12) (-.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (-.f64 (*.f64 x 1/12) 1/2) (-.f64 (/.f64 1 x) -1))
(+.f64 (-.f64 (/.f64 1 x) -1) (-.f64 (*.f64 x 1/12) 1/2))
(-.f64 (*.f64 x 1/12) (-.f64 -1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 1/12) (+.f64 -1/2 (neg.f64 (/.f64 1 x))))
(-.f64 (*.f64 x 1/12) (+.f64 0 (+.f64 -1/2 (neg.f64 (/.f64 1 x)))))
(-.f64 (*.f64 x 1/12) (+.f64 (+.f64 -1/2 (neg.f64 (/.f64 1 x))) 0))
(-.f64 (/.f64 1 x) (-.f64 -1/2 (*.f64 x 1/12)))
(-.f64 (/.f64 1 x) (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))))
(-.f64 (/.f64 1 x) (+.f64 0 (+.f64 -1/2 (neg.f64 (*.f64 x 1/12)))))
(-.f64 (/.f64 1 x) (+.f64 (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))) 0))
(-.f64 1/2 (-.f64 (neg.f64 (*.f64 x 1/12)) (/.f64 1 x)))
(-.f64 1/2 (+.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (*.f64 x 1/12))))
(-.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 (*.f64 x 1/12)))
(-.f64 0 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(-.f64 0 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(-.f64 0 (+.f64 (-.f64 -1/2 (/.f64 1 x)) (neg.f64 (*.f64 x 1/12))))
(-.f64 0 (+.f64 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))) 0))
(-.f64 (+.f64 (*.f64 x 1/12) 1/2) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) -1/2)
(-.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(-.f64 (-.f64 (*.f64 x 1/12) (neg.f64 (/.f64 1 x))) -1/2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x 1/12))) (-.f64 1/2 (/.f64 1 x)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 x))) (-.f64 1/2 (*.f64 x 1/12)))
(-.f64 (-.f64 0 (-.f64 -1/2 (-.f64 (*.f64 x 1/12) -1))) (-.f64 1 (/.f64 1 x)))
(-.f64 (-.f64 (*.f64 x 1/12) (-.f64 -1 (/.f64 1 x))) 1/2)
(-.f64 (-.f64 (*.f64 x 1/12) (-.f64 -3/2 (/.f64 1 x))) 1)
(-.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (-.f64 (*.f64 x 1/12) -1))) 1)
(-.f64 (-.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 -1 (*.f64 x 1/12))) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (/.f64 1 x)) (*.f64 x 1/12))) 1)
(-.f64 (-.f64 0 (-.f64 -3/2 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(-.f64 (-.f64 (+.f64 (*.f64 x 1/12) 1/2) (-.f64 -1 (/.f64 1 x))) 1)
(/.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) -1)
(/.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(pow.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(neg.f64 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 0)
(+.f64 0 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(-.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 0)
(-.f64 0 (neg.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))) 1)
(/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 1)
(/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(pow.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 1)
(neg.f64 (neg.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))
(fabs.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(fabs.f64 (neg.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (neg.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))
(fabs.f64 (neg.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (neg.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))))) (neg.f64 (.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))))) (/.f64 (.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))))) (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (fabs.f64 (/.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (fabs.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) 2) (.f64 (fabs.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))))) (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))
(fabs.f64 (/.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))
(fabs.f64 (/.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))) (neg.f64 (fabs.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))))
(+.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 0)
(+.f64 0 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(-.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1)
(.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 1)
(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(pow.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 1)
(neg.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))

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

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
	0.3b	(.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x)))
	0.3b	(*.f64 x 1/12)
✓	28.4b	(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))

Compiler

Compiled 101 to 80 computations (20.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

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

0.0ms

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

0.0ms

inf

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

rewrite153.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`rational.json-simplify-49`
974×	`rational.json-simplify-47`
684×	`rational.json-5`
682×	`exponential.json-3`
682×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	140	91
2	428	91
3	1532	25
4	6223	25

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 x 1/12) (-.f64 1/2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/12) 1/2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/12) 1/2) (-.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x 1/12) (-.f64 1/2 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) -1) (-.f64 (*.f64 x 1/12) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/12) (-.f64 -1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/12) (+.f64 -1/2 (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/12) (+.f64 0 (+.f64 -1/2 (neg.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/12) (+.f64 (+.f64 -1/2 (neg.f64 (/.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (-.f64 -1/2 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (+.f64 0 (+.f64 -1/2 (neg.f64 (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (+.f64 (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (-.f64 (neg.f64 (*.f64 x 1/12)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (+.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (-.f64 -1/2 (/.f64 1 x)) (neg.f64 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/12) 1/2) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/12) (neg.f64 (/.f64 1 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 x 1/12))) (-.f64 1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -3/2 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 1 x))) (-.f64 1/2 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1/2 (-.f64 (*.f64 x 1/12) -1))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/12) (-.f64 -3/2 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 x 1/12) (-.f64 -1 (/.f64 1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (-.f64 (*.f64 x 1/12) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 -1 (*.f64 x 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (/.f64 1 x)) (*.f64 x 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 x 1/12) 1/2) (-.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (/.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))))))

simplify193.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1306×	`rational.json-simplify-2`
1054×	`rational.json-simplify-1`
1034×	`rational.json-simplify-43`
676×	`rational.json-simplify-41`
648×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1385
1	249	1385
2	492	1385
3	1247	1385
4	3480	1385
5	5382	1385
6	6937	1385

Stop Event

1×	node limit

Counts

59 → 58

Calls

Call 1

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

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 1 (-.f64 (*.f64 x 1/12) (-.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 0 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (+.f64 (*.f64 x 1/12) 1/2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (-.f64 (*.f64 x 1/12) 1/2) (-.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (-.f64 (*.f64 x 1/12) (-.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (-.f64 (/.f64 1 x) -1) (-.f64 (*.f64 x 1/12) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (-.f64 -1/2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (+.f64 -1/2 (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (+.f64 0 (+.f64 -1/2 (neg.f64 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (*.f64 x 1/12) (+.f64 (+.f64 -1/2 (neg.f64 (/.f64 1 x))) 0))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (/.f64 1 x) (-.f64 -1/2 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (/.f64 1 x) (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (/.f64 1 x) (+.f64 0 (+.f64 -1/2 (neg.f64 (*.f64 x 1/12)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (/.f64 1 x) (+.f64 (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))) 0))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 1/2 (-.f64 (neg.f64 (*.f64 x 1/12)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 1/2 (+.f64 (neg.f64 (/.f64 1 x)) (neg.f64 (*.f64 x 1/12))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 0 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 0 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 0 (+.f64 (-.f64 -1/2 (/.f64 1 x)) (neg.f64 (*.f64 x 1/12))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 0 (+.f64 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))) 0))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (+.f64 (*.f64 x 1/12) 1/2) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) -1/2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 (*.f64 x 1/12) (neg.f64 (/.f64 1 x))) -1/2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 x 1/12))) (-.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 0 (-.f64 -3/2 (/.f64 1 x))) (-.f64 1 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 x))) (-.f64 1/2 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 0 (-.f64 -1/2 (-.f64 (*.f64 x 1/12) -1))) (-.f64 1 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 (*.f64 x 1/12) (-.f64 -3/2 (/.f64 1 x))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 (*.f64 x 1/12) (-.f64 -1 (/.f64 1 x))) 1/2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (-.f64 (*.f64 x 1/12) -1))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 -1 (*.f64 x 1/12))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (/.f64 1 x)) (*.f64 x 1/12))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(-.f64 (-.f64 (+.f64 (*.f64 x 1/12) 1/2) (-.f64 -1 (/.f64 1 x))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(/.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) -1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(/.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(pow.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(neg.f64 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`rational.json-5`
1750×	`exponential.json-3`
1750×	`rational.json-1`
1750×	`rational.json-2`
1750×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	85	25
2	248	25
3	890	25
4	3485	25

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify257.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational.json-simplify-2`
1204×	`rational.json-simplify-79`
1120×	`rational.json-simplify-80`
1076×	`rational.json-simplify-73`
962×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	485
1	70	485
2	122	485
3	258	485
4	781	485
5	1744	485
6	3355	485
7	4586	485
8	6092	485
9	7819	485

Stop Event

1×	node limit

Counts

23 → 20

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1/2 (*.f64 x 1/12))
✓	0.0b	(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
✓	0.1b	(*.f64 (pow.f64 x 3) -1/720)
	0.3b	(*.f64 x 1/12)

Compiler

Compiled 52 to 41 computations (21.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	inf	(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
0.0ms	x	@	inf	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 3) -1/720)
0.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))

rewrite146.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`rational.json-simplify-1`
842×	`rational.json-simplify-47`
836×	`rational.json-simplify-54`
602×	`rational.json-5`
600×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	127	56
2	363	56
3	1323	56
4	5340	56

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) -1/720)
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/720) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 x 3) -1/720))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) -1/720) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/720))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/720) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 (*.f64 (pow.f64 x 3) -1/720) (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -1/720) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) -1/720) (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (-.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)) (+.f64 (/.f64 1 x) (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x 1/12) (-.f64 -1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 x 1/12)) (-.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (*.f64 x 1/12))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (*.f64 x 1/12)) (-.f64 -1/2 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))) (neg.f64 (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2) (-.f64 (neg.f64 (*.f64 x 1/12)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (*.f64 x 1/12))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)) (-.f64 -1/2 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 (pow.f64 x 3) -1/720) 1/2)) (neg.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)) (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) (-.f64 -1/2 (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 1 x))) (neg.f64 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -3/2 (*.f64 x 1/12))) (-.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)) (-.f64 -1 (*.f64 x 1/12))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)) (-.f64 -3/2 (*.f64 x 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))) (-.f64 -1 (*.f64 (pow.f64 x 3) -1/720))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/720))) (-.f64 (-.f64 1/2 (*.f64 x 1/12)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (/.f64 1 x))) (-.f64 (-.f64 1/2 (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (*.f64 x 1/12))) (-.f64 -1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (*.f64 x 1/12)) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 x) (-.f64 -1 (*.f64 (pow.f64 x 3) -1/720))) (-.f64 1/2 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 x) (-.f64 -1 (*.f64 x 1/12))) (-.f64 1/2 (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 x) (-.f64 -3/2 (*.f64 x 1/12))) (-.f64 1 (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))) (/.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))) (/.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))) (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))) (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) (*.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (/.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12)) (*.f64 (pow.f64 x 3) -1/720)))))))

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1530×	`rational.json-simplify-2`
1268×	`rational.json-simplify-50`
1054×	`rational.json-simplify-1`
1038×	`rational.json-simplify-43`
974×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	2520
1	387	2520
2	983	2520
3	4462	2520

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

Inputs
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) -1/720))
(-.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/720))) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(/.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 (.f64 (pow.f64 x 3) -1/720) (*.f64 (pow.f64 x 3) -1/720)))
(pow.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)))
(-.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 (-.f64 -1/2 (/.f64 1 x)) (.f64 x 1/12)))
(-.f64 (/.f64 1 x) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(-.f64 1/2 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/720)) (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(-.f64 (.f64 x 1/12) (-.f64 -1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x))))
(-.f64 (+.f64 1/2 (.f64 x 1/12)) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/720)) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) 0)
(-.f64 0 (-.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 x 1/12)) (-.f64 -1/2 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (neg.f64 (.f64 (pow.f64 x 3) -1/720)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2) (-.f64 (neg.f64 (.f64 x 1/12)) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (.f64 x 1/12))) -1/2)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)) (-.f64 -1/2 (.f64 x 1/12)))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2)) (neg.f64 (.f64 x 1/12)))
(-.f64 (+.f64 (/.f64 1 x) 1/2) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/720)) (.f64 x 1/12)))
(-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (-.f64 -1/2 (.f64 (pow.f64 x 3) -1/720)))
(-.f64 (+.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x))) (neg.f64 (.f64 x 1/12)))
(-.f64 (-.f64 0 (-.f64 -3/2 (.f64 x 1/12))) (-.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x))))
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)) (-.f64 -1 (.f64 x 1/12))) 1/2)
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)) (-.f64 -3/2 (.f64 x 1/12))) 1)
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (-.f64 -1 (.f64 (pow.f64 x 3) -1/720))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 3) -1/720))) (-.f64 (-.f64 1/2 (.f64 x 1/12)) (/.f64 1 x)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 x))) (-.f64 (-.f64 1/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(-.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) (-.f64 1 (/.f64 1 x)))
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))) (-.f64 -1 (/.f64 1 x))) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x)))) 1)
(-.f64 (-.f64 (/.f64 1 x) (-.f64 -1 (.f64 (pow.f64 x 3) -1/720))) (-.f64 1/2 (.f64 x 1/12)))
(-.f64 (-.f64 (/.f64 1 x) (-.f64 -1 (.f64 x 1/12))) (-.f64 1/2 (.f64 (pow.f64 x 3) -1/720)))
(-.f64 (-.f64 (/.f64 1 x) (-.f64 -3/2 (.f64 x 1/12))) (-.f64 1 (.f64 (pow.f64 x 3) -1/720)))
(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
(.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))) 1)
(.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12))))) 1))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))))) (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))))))
(.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) 1) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) 1)
(neg.f64 (-.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))

Outputs
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12)))
(-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12)))
(-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(+.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) -1/720))
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) -1/720) 0)
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 0 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)))
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/720))) 1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(*.f64 -1/720 (pow.f64 x 3))
(/.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 (.f64 (pow.f64 x 3) -1/720) (*.f64 (pow.f64 x 3) -1/720)))
(*.f64 -1/720 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3) -1/720) 1)
(*.f64 -1/720 (pow.f64 x 3))
(neg.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/720)))
(*.f64 -1/720 (pow.f64 x 3))
(-.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 (-.f64 -1/2 (/.f64 1 x)) (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (/.f64 1 x) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 1/2 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/720)) (+.f64 (/.f64 1 x) (.f64 x 1/12))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (.f64 x 1/12) (-.f64 -1/2 (+.f64 (.f64 (pow.f64 x 3) -1/720) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 1/2 (.f64 x 1/12)) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/720)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) 0)
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 0 (-.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (.f64 x 1/12)) (-.f64 -1/2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))) (neg.f64 (.f64 (pow.f64 x 3) -1/720)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) 1/2) (-.f64 (neg.f64 (.f64 x 1/12)) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (.f64 x 1/12))) -1/2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
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(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))) (.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(pow.f64 (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12)))) 1)
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))
(neg.f64 (-.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (.f64 x 1/12))))
(+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (+.f64 1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (-.f64 (.f64 x 1/12) -1/2) (.f64 (pow.f64 x 3) 1/720)))

eval637.0ms (3.3%)

Compiler: Compiled 26116 to 21127 computations (19.1% saved)

prune122.0ms (0.6%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	558	5	563
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	558	15	573

Error

Counts

573 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	1.3b	(/.f64 (exp.f64 x) x)
✓	22.0b	(/.f64 1 x)
▶	22.4b	(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
✓	22.4b	(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
✓	22.3b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
✓	22.1b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
✓	22.1b	(+.f64 1/2 (/.f64 1 x))
▶	62.0b	(+.f64 1/2 (*.f64 x 1/4))
✓	44.3b	(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
▶	50.1b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
▶	52.7b	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))
✓	52.7b	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))))
▶	61.8b	(*.f64 x 1/4)
	61.9b	1/2

Compiler

Compiled 453 to 369 computations (18.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -3/2 (*.f64 x 1/12))
✓	0.0b	(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
	0.1b	(*.f64 (pow.f64 x 3) -1/720)
	0.3b	(*.f64 x 1/12)

Compiler

Compiled 69 to 55 computations (20.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
0.0ms	x	@	-inf	(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
0.0ms	x	@	inf	(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
0.0ms	x	@	0	(-.f64 -3/2 (*.f64 x 1/12))
0.0ms	x	@	-inf	(-.f64 -3/2 (*.f64 x 1/12))

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`rational.json-simplify-47`
912×	`rational.json-simplify-1`
774×	`rational.json-5`
772×	`exponential.json-3`
772×	`rational.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	62
1	140	62
2	458	62
3	1726	56
4	6708	56

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
(-.f64 -3/2 (*.f64 x 1/12))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 x) (neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/720) (-.f64 -3/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/720) (-.f64 -3/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 x) -1) (+.f64 (*.f64 x 1/12) (-.f64 (*.f64 (pow.f64 x 3) -1/720) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 x 1/12) (-.f64 (*.f64 (pow.f64 x 3) -1/720) -3/2)) (+.f64 (/.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (-.f64 1 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 1 (/.f64 1 x))) (neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720)) (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))) (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))) (*.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))) (*.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (*.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (*.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))) (*.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) (/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720)) (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (-.f64 -3/2 (+.f64 (*.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))) (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (-.f64 -3/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12))) (-.f64 1 (*.f64 (pow.f64 x 3) -1/720))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (-.f64 (*.f64 x 1/12) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -3/2 (*.f64 x 1/12)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 -3/2 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (-.f64 (*.f64 x 1/12) -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -3/2 (*.f64 x 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -3/2 (*.f64 x 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -3/2 (*.f64 x 1/12)) (/.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x 1/12) -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))) (/.f64 1 (-.f64 -3/2 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))) (*.f64 (/.f64 1 (-.f64 -3/2 (*.f64 x 1/12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -3/2 (*.f64 x 1/12))) (*.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))) (*.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12)))) (/.f64 (/.f64 1 (-.f64 -3/2 (*.f64 x 1/12))) (*.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -3/2 (*.f64 x 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -3/2 (*.f64 x 1/12)) (/.f64 (-.f64 -3/2 (*.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x 1/12) -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 -3/2 (*.f64 x 1/12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 x 1/12) -3/2))))))

simplify201.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1552×	`rational.json-simplify-47`
1146×	`rational.json-simplify-1`
1116×	`rational.json-simplify-49`
1032×	`rational.json-simplify-2`
982×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	2310
1	235	1906
2	512	1838
3	1859	1826
4	7197	1826

Stop Event

1×	node limit

Counts

68 → 79

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
-3/2
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(*.f64 -1/12 x)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(*.f64 -1/12 x)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(+.f64 1 (-.f64 -1 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))))
(+.f64 (/.f64 1 x) (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 -3/2 (+.f64 (/.f64 1 x) (.f64 x 1/12)))) -1)
(+.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 0)
(+.f64 0 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))
(+.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 -3/2 (+.f64 (/.f64 1 x) (.f64 x 1/12)))))
(+.f64 (+.f64 (/.f64 1 x) -1) (+.f64 (.f64 x 1/12) (-.f64 (.f64 (pow.f64 x 3) -1/720) -3/2)))
(+.f64 (+.f64 (.f64 x 1/12) (-.f64 (.f64 (pow.f64 x 3) -1/720) -3/2)) (+.f64 (/.f64 1 x) -1))
(+.f64 (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (/.f64 1 x))
(+.f64 (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 1 (-.f64 1 (/.f64 1 x))))
(+.f64 (-.f64 -1 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))) 1)
(+.f64 (-.f64 1 (-.f64 1 (/.f64 1 x))) (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))
(.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))
(.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) 1)
(.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)) (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720))))
(.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720)) -1)
(.f64 (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))
(.f64 (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))) 1))
(.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))
(.f64 (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))))
(/.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 1)
(/.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)) (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))))
(/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)) -1)
(pow.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 1)
(neg.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)))
(neg.f64 (+.f64 (-.f64 -3/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))) (-.f64 1 (/.f64 1 x))))
(neg.f64 (+.f64 (-.f64 -3/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (-.f64 1 (.f64 (pow.f64 x 3) -1/720))))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 x 1/12) -3/2)))
(+.f64 (-.f64 -3/2 (*.f64 x 1/12)) 0)
(+.f64 0 (-.f64 -3/2 (*.f64 x 1/12)))
(+.f64 (-.f64 -1 (-.f64 (*.f64 x 1/12) -3/2)) 1)
(.f64 1 (-.f64 -3/2 (.f64 x 1/12)))
(.f64 (-.f64 -3/2 (.f64 x 1/12)) 1)
(.f64 (-.f64 -3/2 (.f64 x 1/12)) (/.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))))
(.f64 (-.f64 (.f64 x 1/12) -3/2) -1)
(.f64 (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))) (/.f64 1 (-.f64 -3/2 (*.f64 x 1/12))))
(.f64 (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))) (.f64 (/.f64 1 (-.f64 -3/2 (.f64 x 1/12))) 1))
(.f64 (/.f64 1 (-.f64 -3/2 (.f64 x 1/12))) (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))))
(.f64 (.f64 (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))) (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12)))) (/.f64 (/.f64 1 (-.f64 -3/2 (.f64 x 1/12))) (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12)))))
(/.f64 (-.f64 -3/2 (*.f64 x 1/12)) 1)
(/.f64 (-.f64 -3/2 (.f64 x 1/12)) (/.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))))
(/.f64 (-.f64 (*.f64 x 1/12) -3/2) -1)
(pow.f64 (-.f64 -3/2 (*.f64 x 1/12)) 1)
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 x 1/12) (+.f64 (.f64 -1/720 (pow.f64 x 3)) 1/2))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
(*.f64 -1/720 (pow.f64 x 3))
(+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (.f64 x 1/12) (+.f64 (.f64 -1/720 (pow.f64 x 3)) 1/2))
(+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 1/12 x) (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (+.f64 1/2 (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 1/2 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3)))))
-3/2
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(*.f64 -1/12 x)
(*.f64 x -1/12)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(-.f64 (*.f64 -1/12 x) 3/2)
(-.f64 (*.f64 x -1/12) 3/2)
(+.f64 1 (-.f64 -1 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))
(+.f64 (/.f64 1 x) (neg.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))) -1/2))
(+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) (-.f64 -1/2 (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 -3/2 (+.f64 (/.f64 1 x) (.f64 x 1/12)))) -1)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(+.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 0)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(+.f64 0 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(+.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/720) (-.f64 -3/2 (+.f64 (/.f64 1 x) (.f64 x 1/12)))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(+.f64 (+.f64 (/.f64 1 x) -1) (+.f64 (.f64 x 1/12) (-.f64 (.f64 (pow.f64 x 3) -1/720) -3/2)))
(+.f64 (/.f64 1 x) (+.f64 -1 (+.f64 (.f64 x 1/12) (-.f64 (.f64 -1/720 (pow.f64 x 3)) -3/2))))
(+.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) -3/2) (+.f64 (+.f64 (/.f64 1 x) -1) (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (-.f64 (.f64 -1/720 (pow.f64 x 3)) -1/2)))
(+.f64 (+.f64 (.f64 x 1/12) (-.f64 (.f64 (pow.f64 x 3) -1/720) -3/2)) (+.f64 (/.f64 1 x) -1))
(+.f64 (/.f64 1 x) (+.f64 -1 (+.f64 (.f64 x 1/12) (-.f64 (.f64 -1/720 (pow.f64 x 3)) -3/2))))
(+.f64 (-.f64 (.f64 -1/720 (pow.f64 x 3)) -3/2) (+.f64 (+.f64 (/.f64 1 x) -1) (.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 (.f64 x 1/12) (-.f64 (.f64 -1/720 (pow.f64 x 3)) -1/2)))
(+.f64 (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (neg.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))) -1/2))
(+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) (-.f64 -1/2 (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 1 (-.f64 1 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (neg.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))) -1/2))
(+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) (-.f64 -1/2 (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (-.f64 -1 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))) 1)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(+.f64 (-.f64 1 (-.f64 1 (/.f64 1 x))) (neg.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))))
(+.f64 (/.f64 1 x) (neg.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (.f64 x 1/12) (.f64 -1/720 (pow.f64 x 3))) -1/2))
(+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) (-.f64 -1/2 (.f64 -1/720 (pow.f64 x 3)))))
(.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))) 1)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)) (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (*.f64 (pow.f64 x 3) -1/720)) -1)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(.f64 (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(.f64 (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720))))) 1))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(.f64 (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))))) (/.f64 (/.f64 1 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))))) (.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (*.f64 (pow.f64 x 3) -1/720)))))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(/.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 1)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(/.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) (/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)) (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(/.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)) -1)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(pow.f64 (-.f64 (/.f64 1 x) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720)))) 1)
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(neg.f64 (-.f64 (-.f64 -1/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (.f64 (pow.f64 x 3) -1/720)))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(neg.f64 (+.f64 (-.f64 -3/2 (+.f64 (.f64 x 1/12) (.f64 (pow.f64 x 3) -1/720))) (-.f64 1 (/.f64 1 x))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(neg.f64 (+.f64 (-.f64 -3/2 (+.f64 (/.f64 1 x) (.f64 x 1/12))) (-.f64 1 (.f64 (pow.f64 x 3) -1/720))))
(+.f64 1 (-.f64 -1 (-.f64 -1/2 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))))))
(-.f64 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 -1/720 (pow.f64 x 3))) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1/720 (pow.f64 x 3))) (-.f64 -1/2 (.f64 x 1/12)))
(+.f64 1 (-.f64 -1 (-.f64 (*.f64 x 1/12) -3/2)))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(+.f64 (-.f64 -3/2 (*.f64 x 1/12)) 0)
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(+.f64 0 (-.f64 -3/2 (*.f64 x 1/12)))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(+.f64 (-.f64 -1 (-.f64 (*.f64 x 1/12) -3/2)) 1)
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 1 (-.f64 -3/2 (.f64 x 1/12)))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 (-.f64 -3/2 (.f64 x 1/12)) 1)
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 (-.f64 -3/2 (.f64 x 1/12)) (/.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 (-.f64 (.f64 x 1/12) -3/2) -1)
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))) (/.f64 1 (-.f64 -3/2 (*.f64 x 1/12))))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))) (.f64 (/.f64 1 (-.f64 -3/2 (.f64 x 1/12))) 1))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 (/.f64 1 (-.f64 -3/2 (.f64 x 1/12))) (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(.f64 (.f64 (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12))) (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12)))) (/.f64 (/.f64 1 (-.f64 -3/2 (.f64 x 1/12))) (.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (.f64 x 1/12)))))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(/.f64 (-.f64 -3/2 (*.f64 x 1/12)) 1)
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(/.f64 (-.f64 -3/2 (.f64 x 1/12)) (/.f64 (-.f64 -3/2 (.f64 x 1/12)) (-.f64 -3/2 (*.f64 x 1/12))))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(/.f64 (-.f64 (*.f64 x 1/12) -3/2) -1)
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(pow.f64 (-.f64 -3/2 (*.f64 x 1/12)) 1)
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(-.f64 -3/2 (*.f64 x 1/12))
(neg.f64 (-.f64 (*.f64 x 1/12) -3/2))
(+.f64 1 (-.f64 -3/2 (-.f64 (*.f64 x 1/12) -1)))
(-.f64 -3/2 (*.f64 x 1/12))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize9.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x)))
	0.3b	(*.f64 x 1/12)
✓	5.0b	(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1)
✓	29.8b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))

Compiler

Compiled 154 to 127 computations (17.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite147.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`rational.json-simplify-1`
836×	`rational.json-5`
834×	`exponential.json-3`
834×	`rational.json-1`
834×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	146
1	196	122
2	591	122
3	1911	56
4	7615	56

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify177.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational.json-simplify-1`
974×	`rational.json-simplify-47`
756×	`rational.json-simplify-2`
740×	`exponential.json-simplify-26`
706×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2290
1	248	2290
2	492	2290
3	1530	2290
4	5073	2290

Stop Event

1×	node limit

Counts

82 → 93

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/24 (pow.f64 x 4)) x)))
(/.f64 12 x)
(-.f64 (.f64 12 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 4)))))
(/.f64 12 x)
(-.f64 (.f64 12 (/.f64 1 x)) (.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (*.f64 72 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 288 (/.f64 1 (pow.f64 x 3))) (.f64 12 (/.f64 1 x))) (+.f64 (.f64 72 (/.f64 1 (pow.f64 x 2))) (.f64 864 (/.f64 1 (pow.f64 x 4)))))
(+.f64 0 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
(+.f64 1 (-.f64 -1 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12))))
(+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/12))
(+.f64 (+.f64 (*.f64 x 1/12) 1/2) (/.f64 1 x))
(+.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2)
(+.f64 (-.f64 (*.f64 x 1/12) -1/2) (/.f64 1 x))
(+.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(+.f64 (-.f64 -1 (-.f64 -1/2 (*.f64 x 1/12))) (-.f64 1 (neg.f64 (/.f64 1 x))))
(+.f64 (-.f64 1 (neg.f64 (/.f64 1 x))) (-.f64 -1 (-.f64 -1/2 (*.f64 x 1/12))))
(+.f64 (-.f64 -1 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12))) 1)
(-.f64 0 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12)))
(-.f64 0 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(-.f64 (*.f64 x 1/12) (-.f64 -1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 1/12) (+.f64 -1/2 (neg.f64 (/.f64 1 x))))
(-.f64 (/.f64 1 x) (-.f64 -1/2 (*.f64 x 1/12)))
(-.f64 (/.f64 1 x) (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))))
(-.f64 1/2 (-.f64 (neg.f64 (*.f64 x 1/12)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 (*.f64 x 1/12)))
(-.f64 (+.f64 (*.f64 x 1/12) 1/2) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) -1/2)
(-.f64 (-.f64 (*.f64 x 1/12) -1/2) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 0)
(-.f64 (neg.f64 (neg.f64 (/.f64 1 x))) (-.f64 -1/2 (*.f64 x 1/12)))
(-.f64 (-.f64 (*.f64 x 1/12) (neg.f64 (/.f64 1 x))) -1/2)
(-.f64 (-.f64 (/.f64 1 x) (neg.f64 (*.f64 x 1/12))) -1/2)
(/.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12)) -1)
(/.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(/.f64 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) (/.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (.f64 x 1/12)) (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12))))
(pow.f64 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)) 1)
(neg.f64 (-.f64 (-.f64 -1/2 (/.f64 1 x)) (*.f64 x 1/12)))
(neg.f64 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(+.f64 0 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(+.f64 1 (+.f64 -1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(+.f64 (+.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) -1)
(+.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 0)
(+.f64 (+.f64 -1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1)
(.f64 -1 (neg.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))
(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 1)
(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) -1)
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 1 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (/.f64 -1 (neg.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))) (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) (.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))))
(/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))
(/.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 1)
(/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(/.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) -1)
(pow.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) 1)
(neg.f64 (neg.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))
(neg.f64 (+.f64 -1 (+.f64 1 (neg.f64 (/.f64 1 (+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))))))

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

localize141.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
	0.3b	(.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x)))
	0.3b	(*.f64 x 1/12)
✓	45.1b	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))

Compiler

Compiled 329 to 266 computations (19.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))
0.0ms	x	@	inf	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))
0.0ms	x	@	-inf	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))
0.0ms	x	@	inf	(.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
0.0ms	x	@	0	(.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))

rewrite88.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`rational.json-simplify-55`
1008×	`rational.json-5`
1006×	`exponential.json-3`
1006×	`rational.json-1`
1006×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	278
1	240	266
2	677	206
3	2249	80

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs

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

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (neg.f64 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (+.f64 1 (neg.f64 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (*.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) 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simplify178.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1750×	`rational.json-simplify-47`
1336×	`rational.json-simplify-49`
1226×	`rational.json-simplify-43`
1120×	`rational.json-simplify-50`
782×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	3986
1	327	3986
2	669	3986
3	2047	3986
4	4925	3986

Stop Event

1×	node limit

Counts

104 → 117

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(*.f64 1/12 x)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 5/12 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 5/12 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (*.f64 1/12 x))))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(*.f64 1/144 (pow.f64 x 2))
(+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/12))
(+.f64 0 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(+.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2)
(+.f64 (+.f64 (*.f64 x 1/12) 1/2) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) 0)
(+.f64 (-.f64 (*.f64 x 1/12) -1/2) (/.f64 1 x))
(+.f64 (-.f64 -1 (-.f64 -1/2 (*.f64 x 1/12))) (-.f64 1 (neg.f64 (/.f64 1 x))))
(+.f64 (-.f64 -1 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 1)
(-.f64 (*.f64 x 1/12) (-.f64 -1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 1/12) (+.f64 -1/2 (neg.f64 (/.f64 1 x))))
(-.f64 (/.f64 1 x) (-.f64 -1/2 (*.f64 x 1/12)))
(-.f64 (/.f64 1 x) (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))))
(-.f64 1/2 (-.f64 (neg.f64 (/.f64 1 x)) (*.f64 x 1/12)))
(-.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 (*.f64 x 1/12)))
(-.f64 0 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(-.f64 0 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) -1/2)
(-.f64 (+.f64 (*.f64 x 1/12) 1/2) (neg.f64 (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) 0)
(-.f64 (-.f64 (*.f64 x 1/12) -1/2) (neg.f64 (/.f64 1 x)))
(-.f64 (-.f64 (/.f64 1 x) (neg.f64 (*.f64 x 1/12))) -1/2)
(-.f64 (-.f64 (*.f64 x 1/12) (neg.f64 (/.f64 1 x))) -1/2)
(-.f64 (-.f64 0 (neg.f64 (/.f64 1 x))) (-.f64 -1/2 (*.f64 x 1/12)))
(/.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))) -1)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) 1)
(/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(pow.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) 1)
(neg.f64 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 1 (+.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) -1))
(+.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 0)
(+.f64 0 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(+.f64 -1 (+.f64 1 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(+.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))) -1)
(+.f64 (+.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) -1) 1)
(-.f64 1 (+.f64 1 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))))
(-.f64 1 (-.f64 1 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(-.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 0)
(-.f64 0 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(-.f64 0 (+.f64 (+.f64 1 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))) -1))
(-.f64 -1 (-.f64 -1 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(-.f64 (+.f64 1 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) -1) -1)
(-.f64 (+.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 2) 2)
(-.f64 -2 (-.f64 -2 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(-.f64 (-.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 2) -2)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 1)
(/.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))) -1)
(pow.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))) 1)
(neg.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(fabs.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(fabs.f64 (neg.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(fabs.f64 (/.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))))
(fabs.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(fabs.f64 (/.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (neg.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(fabs.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(fabs.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(fabs.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(fabs.f64 (.f64 (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 1/2 (*.f64 1/12 x))
(+.f64 1/2 (*.f64 x 1/12))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 1/2 (+.f64 (/.f64 1 x) (*.f64 1/12 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(/.f64 1 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(+.f64 5/12 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) 5/12))
(+.f64 (/.f64 1 x) (+.f64 5/12 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) 5/12))
(+.f64 5/12 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (*.f64 1/12 x))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) 5/12))
(+.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) (+.f64 5/12 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 5/12 (*.f64 x 1/12))))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/144)
(+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (.f64 x 1/12))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (.f64 x 1/12) 5/12))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 5/12 (.f64 x 1/12)))
(+.f64 5/12 (+.f64 (.f64 (pow.f64 x 2) 1/144) (.f64 x 1/12)))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 5/12 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 2) 1/144)))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 2) 1/144) 5/12))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 5/12 (.f64 x 1/12))))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (/.f64 1 x) (+.f64 5/12 (.f64 x 1/12))))
(*.f64 1/144 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/144)
(+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (.f64 x 1/12))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (.f64 1/12 x)))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (.f64 x 1/12) 5/12))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 5/12 (.f64 x 1/12)))
(+.f64 5/12 (+.f64 (.f64 (pow.f64 x 2) 1/144) (.f64 x 1/12)))
(+.f64 5/12 (+.f64 (.f64 1/144 (pow.f64 x 2)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 5/12 (+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (.f64 (pow.f64 x 2) 1/144)))
(+.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) (+.f64 (.f64 (pow.f64 x 2) 1/144) 5/12))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 5/12 (.f64 x 1/12))))
(+.f64 (.f64 (pow.f64 x 2) 1/144) (+.f64 (/.f64 1 x) (+.f64 5/12 (.f64 x 1/12))))
(+.f64 (*.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 (*.f64 x 1/12) 1/2))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(+.f64 1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 (+.f64 (/.f64 1 x) 1/2) (*.f64 x 1/12))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 0 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(+.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) 1/2)
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 (+.f64 (*.f64 x 1/12) 1/2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) 0)
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(+.f64 (-.f64 (*.f64 x 1/12) -1/2) (/.f64 1 x))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(+.f64 (-.f64 -1 (-.f64 -1/2 (*.f64 x 1/12))) (-.f64 1 (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(+.f64 (-.f64 -1 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))) 1)
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (*.f64 x 1/12) (-.f64 -1/2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (*.f64 x 1/12) (+.f64 -1/2 (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (/.f64 1 x) (-.f64 -1/2 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (/.f64 1 x) (+.f64 -1/2 (neg.f64 (*.f64 x 1/12))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 1/2 (-.f64 (neg.f64 (/.f64 1 x)) (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (+.f64 (/.f64 1 x) 1/2) (neg.f64 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 0 (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 0 (+.f64 (-.f64 -1/2 (*.f64 x 1/12)) (neg.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (+.f64 (*.f64 x 1/12) (/.f64 1 x)) -1/2)
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (+.f64 (*.f64 x 1/12) 1/2) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)) 0)
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (-.f64 (*.f64 x 1/12) -1/2) (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (-.f64 (/.f64 1 x) (neg.f64 (*.f64 x 1/12))) -1/2)
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
(-.f64 (-.f64 (*.f64 x 1/12) (neg.f64 (/.f64 1 x))) -1/2)
(+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2)
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(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (-.f64 -1/2 (+.f64 (*.f64 x 1/12) (/.f64 1 x)))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (fabs.f64 (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))
(fabs.f64 (.f64 (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2))))) (/.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (fabs.f64 (/.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))))))
(.f64 (+.f64 (/.f64 1 x) (-.f64 (.f64 x 1/12) -1/2)) (+.f64 (/.f64 1 x) (-.f64 (*.f64 x 1/12) -1/2)))
(.f64 (-.f64 (+.f64 (/.f64 1 x) (.f64 x 1/12)) -1/2) (-.f64 (+.f64 (/.f64 1 x) (*.f64 x 1/12)) -1/2))

eval651.0ms (3.4%)

Compiler: Compiled 26317 to 21642 computations (17.8% saved)

prune103.0ms (0.5%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	522	1	523
Fresh	0	1	1
Picked	0	1	1
Done	2	11	13
Total	524	14	538

Error

Counts

538 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	40.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
✓	1.3b	(/.f64 (exp.f64 x) x)
✓	22.0b	(/.f64 1 x)
✓	22.4b	(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
✓	22.4b	(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
✓	22.3b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
✓	22.1b	(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
✓	22.1b	(+.f64 1/2 (/.f64 1 x))
✓	62.0b	(+.f64 1/2 (*.f64 x 1/4))
✓	44.3b	(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
	50.1b	(.f64 (+.f64 (+.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
✓	52.7b	(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))
✓	61.8b	(*.f64 x 1/4)
	61.9b	1/2

Compiler

Compiled 235 to 190 computations (19.1% saved)

regimes32.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

Inputs
1/2
(*.f64 x 1/4)
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/4))
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
(.f64 (+.f64 (+.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))
(/.f64 (exp.f64 x) x)
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))

Calls

3 calls:

10.0ms	(exp.f64 x)
9.0ms	x
5.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Results

Error	Segments	Branch
1.1b	1	`x`
0.1b	2	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
1.1b	1	`(exp.f64 x)`

Compiler

Compiled 353 to 278 computations (21.2% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0908428033337532	420.84311541340634

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes21.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
1/2
(*.f64 x 1/4)
(/.f64 1 x)
(+.f64 1/2 (*.f64 x 1/4))
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))
(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/4)))
(.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
(.f64 (+.f64 (+.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (*.f64 x 1/12)) (/.f64 1 x))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))))
(.f64 (.f64 (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x))) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (/.f64 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x))) (-.f64 -1/2 (+.f64 (.f64 x 1/12) (/.f64 1 x)))))) 1)))
(/.f64 (exp.f64 x) x)
(+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12))))
(-.f64 (-.f64 (/.f64 1 x) (-.f64 (-.f64 -3/2 (.f64 x 1/12)) (.f64 (pow.f64 x 3) -1/720))) 1)

Outputs
(/.f64 (exp.f64 x) x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.3b	1	`x`

Compiler

Compiled 325 to 262 computations (19.4% saved)

regimes27.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs

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

(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
10.1b	2	`x`

Compiler

Compiled 289 to 234 computations (19% saved)

bsearch6.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
5.0ms	-87920241312910320.0	-66670138520155700.0

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 162 to 134 computations (17.3% saved)

regimes19.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

Outputs

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

(+.f64 (/.f64 1 x) (+.f64 1/2 (*.f64 x 1/12)))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
10.1b	2	`x`

Compiler

Compiled 104 to 83 computations (20.2% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	-3.66980701207514e+20	-87920241312910320.0

Results

10.0ms

128×

body

256

valid

Compiler

Compiled 396 to 328 computations (17.2% saved)

regimes15.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(/.f64 1 x)

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
22.0b	1	`x`

Compiler

Compiled 69 to 54 computations (21.7% saved)

regimes4.0ms (0%)

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
(*.f64 x 1/4)

Outputs
(*.f64 x 1/4)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
61.8b	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	399

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)) 2) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)) (+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12)))))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x -72000000000000000) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(if (<=.f64 x -105000000000000000) (.f64 (+.f64 (+.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(/.f64 1 x)
(*.f64 x 1/4)
1/2

Outputs
(if (<=.f64 (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)) 2) (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1)) (+.f64 (/.f64 1 x) (+.f64 (.f64 (pow.f64 x 3) -1/720) (+.f64 1/2 (.f64 x 1/12)))))
(/.f64 (exp.f64 x) x)
(if (<=.f64 x -72000000000000000) (.f64 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2))))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(if (<=.f64 x -105000000000000000) (.f64 (+.f64 (+.f64 -1 (/.f64 1 (+.f64 (.f64 x 1/12) (+.f64 (/.f64 1 x) 1/2)))) 1) (.f64 (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)) (-.f64 (-.f64 -1/2 (.f64 x 1/12)) (/.f64 1 x)))) (+.f64 (/.f64 1 x) (+.f64 1/2 (.f64 x 1/12))))
(/.f64 1 x)
(*.f64 x 1/4)
1/2

Compiler

Compiled 148 to 116 computations (21.6% saved)

soundness223.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational.json-simplify-47`
1092×	`rational.json-simplify-2`
822×	`rational.json-simplify-54`
796×	`rational.json-simplify-1`
748×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	766
1	189	766
2	381	766
3	1441	766
4	5519	766

Stop Event

1×	node limit

Compiler

Compiled 106 to 85 computations (19.8% saved)

end11.6s (59.8%)

Compiler: Compiled 142 to 109 computations (23.2% saved)

Details

analyze122.0ms (0.6%)

sample1.4s (7.2%)

preprocess11.0ms (0.1%)

simplify23.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize10.0ms (0.1%)

series3.0ms (0%)

rewrite127.0ms (0.7%)

simplify174.0ms (0.9%)

eval16.0ms (0.1%)

prune13.0ms (0.1%)

localize14.0ms (0.1%)

series3.0ms (0%)

rewrite103.0ms (0.5%)

simplify235.0ms (1.2%)

localize3.0ms (0%)

localize5.0ms (0%)

series0.0ms (0%)

rewrite74.0ms (0.4%)

simplify160.0ms (0.8%)

localize12.0ms (0.1%)

series2.0ms (0%)

rewrite86.0ms (0.4%)

simplify239.0ms (1.2%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite168.0ms (0.9%)

simplify143.0ms (0.7%)

eval113.0ms (0.6%)

prune24.0ms (0.1%)

localize75.0ms (0.4%)

series2.0ms (0%)

rewrite172.0ms (0.9%)

simplify144.0ms (0.7%)

localize49.0ms (0.3%)

series1.0ms (0%)

rewrite153.0ms (0.8%)

simplify193.0ms (1%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite91.0ms (0.5%)

simplify257.0ms (1.3%)

localize21.0ms (0.1%)

series3.0ms (0%)

rewrite146.0ms (0.8%)

simplify124.0ms (0.6%)

eval637.0ms (3.3%)

prune122.0ms (0.6%)

localize32.0ms (0.2%)

series1.0ms (0%)

rewrite135.0ms (0.7%)

simplify201.0ms (1%)

localize3.0ms (0%)

localize9.0ms (0%)

localize67.0ms (0.3%)

series1.0ms (0%)

rewrite147.0ms (0.8%)

simplify177.0ms (0.9%)

localize141.0ms (0.7%)

series1.0ms (0%)

rewrite88.0ms (0.5%)

simplify178.0ms (0.9%)

eval651.0ms (3.4%)

prune103.0ms (0.5%)

regimes32.0ms (0.2%)

bsearch1.0ms (0%)

regimes21.0ms (0.1%)

regimes27.0ms (0.1%)

bsearch6.0ms (0%)

regimes19.0ms (0.1%)

bsearch14.0ms (0.1%)

regimes15.0ms (0.1%)

regimes4.0ms (0%)

simplify7.0ms (0%)

soundness223.0ms (1.2%)

end11.6s (59.8%)

Profiling