Details

analyze417.0ms (1.6%)

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
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
50%	50%	50%	0%	0%	0%	0%	6
50%	50%	50%	0%	0%	0%	0%	7
50%	50%	50%	0%	0%	0%	0%	8
50%	50%	50%	0%	0%	0%	0%	9
50%	50%	50%	0%	0%	0%	0%	10
50%	50%	50%	0%	0%	0%	0%	11
50%	50%	50%	0%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample14.7s (55.9%)

Results

6.0s	1622×	body	8192	exit
4.2s	4065×	body	1024	valid
1.8s	2080×	body	512	valid
1.2s	1646×	body	1024	invalid
493.0ms	1919×	body	256	valid
362.0ms	789×	body	512	invalid
252.0ms	825×	body	256	invalid
208.0ms	192×	body	2048	valid

Bogosity

preprocess73.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1234×	`rational.json-simplify-1`
1206×	`rational.json-simplify-64`
880×	`rational.json-simplify-46`
738×	`trig.json-simplify-41`
656×	`trig.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	26	33
2	33	33
3	48	33
4	72	33
5	137	33
6	329	33
7	1244	33
8	3195	33
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 12 to 9 computations (25% saved)

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational.json-simplify-1`
1206×	`rational.json-simplify-64`
880×	`rational.json-simplify-46`
738×	`trig.json-simplify-41`
656×	`trig.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	26	33
2	33	33
3	48	33
4	72	33
5	137	33
6	329	33
7	1244	33
8	3195	33

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

60.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.9b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (cos.f64 x))
✓	0.3b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	4.0b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series4.0ms (0%)

Counts

3 → 16

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(sqrt.f64 (cos.f64 x))
1.0ms	x	@	inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
1.0ms	x	@	0	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
1.0ms	x	@	-inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(sqrt.f64 (cos.f64 x))

rewrite156.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`rational.json-simplify-44`
860×	`rational.json-simplify-47`
848×	`rational.json-simplify-1`
774×	`rational.json-5`
772×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	103	61
2	374	61
3	1468	61
4	6393	61

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(sqrt.f64 (cos.f64 x))

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

Outputs

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

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

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

simplify218.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-49`
1194×	`rational.json-simplify-43`
896×	`rational.json-simplify-50`
846×	`rational.json-simplify-54`
668×	`rational.json-simplify-58`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	1425
1	250	1371
2	647	1323
3	2810	1311
4	7283	1311

Stop Event

1×	node limit

Counts

57 → 69

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(+.f64 0 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(-.f64 0 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(-.f64 0 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(+.f64 (sqrt.f64 (cos.f64 x)) 0)
(+.f64 0 (sqrt.f64 (cos.f64 x)))
(-.f64 (sqrt.f64 (cos.f64 x)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (cos.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (cos.f64 x)))) 1)
(*.f64 (sqrt.f64 (cos.f64 x)) 1)
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(*.f64 1 (sqrt.f64 (cos.f64 x)))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) 1))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 x))))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (/.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 x)))))
(/.f64 (sqrt.f64 (cos.f64 x)) 1)
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(pow.f64 (sqrt.f64 (cos.f64 x)) 1)
(neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x))))

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 1/2 (pow.f64 x 2))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) 1)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 x 2) 1/2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) -1/4))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 (+.f64 1 (.f64 (pow.f64 x 2) -1/4)) (+.f64 (.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 0 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 0 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 0 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (sqrt.f64 (cos.f64 x)) 0)
(sqrt.f64 (cos.f64 x))
(+.f64 0 (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(-.f64 (sqrt.f64 (cos.f64 x)) 0)
(sqrt.f64 (cos.f64 x))
(-.f64 0 (neg.f64 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (cos.f64 x)))) 1)
(sqrt.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(*.f64 1 (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 x))) (/.f64 1 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 x))) (*.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) 1))
(sqrt.f64 (cos.f64 x))
(.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (.f64 (cos.f64 x) (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(.f64 (sqrt.f64 (.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (cos.f64 x) (cos.f64 x))))) (/.f64 (/.f64 1 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 x)))))
(sqrt.f64 (cos.f64 x))
(/.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))
(/.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))
(neg.f64 (neg.f64 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))

eval33.0ms (0.1%)

Compiler: Compiled 1256 to 401 computations (68.1% saved)

prune27.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	8	70

Error

60.9b

Counts

70 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.5b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
▶	60.9b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
▶	61.0b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
▶	61.4b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
✓	60.9b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	61.2b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
	60.9b	(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))
	62.9b	(.f64 (.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 (neg.f64 x)))

Compiler

Compiled 217 to 152 computations (30% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (cos.f64 x))
	0.3b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	2.3b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
	4.0b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 75 to 23 computations (69.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
0.0ms	x	@	inf	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
0.0ms	x	@	-inf	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)

Time

Variable

Point

Expression

0.0ms

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)

0.0ms

inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)

0.0ms

-inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)

rewrite201.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`rational.json-simplify-1`
894×	`rational.json-5`
892×	`exponential.json-3`
892×	`rational.json-1`
892×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	161	33
2	493	33
3	1765	33
4	7479	33

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)

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

Outputs

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

simplify208.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1526×	`rational.json-simplify-104`
988×	`rational.json-simplify-54`
962×	`rational.json-simplify-111`
686×	`rational.json-simplify-50`
638×	`rational.json-simplify-76`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1825
1	172	1825
2	416	1773
3	1097	1713
4	2938	1713
5	6208	1713

Stop Event

1×	node limit

Counts

39 → 52

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 -1 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1) -1)
(+.f64 1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) 1)
(.f64 -1 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) -1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 -1 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(.f64 (exp.f64 (.f64 x -2)) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x -2)))))
(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))))))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (exp.f64 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) -1)
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(neg.f64 (+.f64 -1 (+.f64 1 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (neg.f64 x))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (+.f64 (neg.f64 x) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (pow.f64 x 2) 1/2)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (pow.f64 x 2)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (neg.f64 x) (*.f64 1/2 (pow.f64 x 2))))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 -1 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1) -1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 -1 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) -1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 (.f64 x -2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 (.f64 x -2)) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 (.f64 x -2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 (.f64 x -2)) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 -1 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))) (/.f64 -1 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 -1 (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))) (/.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))))))
(.f64 (exp.f64 (.f64 x -2)) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (exp.f64 x) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x -2))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (+.f64 (.f64 x -2) x)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (+.f64 x (.f64 x -2))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x -2)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 (.f64 x -2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
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(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2)))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (.f64 x -2))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 (.f64 x -2)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (exp.f64 (.f64 x -2)) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (exp.f64 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))) -1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(neg.f64 (+.f64 -1 (+.f64 1 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
✓	4.0b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(fmod.f64 (exp.f64 x) 1)
0.0ms	x	@	inf	(fmod.f64 (exp.f64 x) 1)

rewrite142.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`rational.json-1`
1916×	`rational.json-2`
1916×	`rational.json-3`
1914×	`rational.json-5`
1912×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	87	36
2	271	36
3	974	36
4	3801	36

Stop Event

1×	node limit

Counts

2 → 19

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))

Outputs

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

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

simplify177.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1690×	`rational.json-simplify-47`
1552×	`rational.json-simplify-2`
1266×	`rational.json-simplify-1`
944×	`rational.json-simplify-43`
850×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	717
1	109	687
2	363	655
3	1774	627
4	6027	627

Stop Event

1×	node limit

Counts

31 → 37

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) 0)
(+.f64 0 (fmod.f64 (exp.f64 x) 1))
(-.f64 (fmod.f64 (exp.f64 x) 1) 0)
(*.f64 1 (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (/.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) 1)) 1))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) 1)) (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) 1)) (*.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1))))
(/.f64 (fmod.f64 (exp.f64 x) 1) 1)
(/.f64 (fmod.f64 (exp.f64 x) 1) (/.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))
(pow.f64 (fmod.f64 (exp.f64 x) 1) 1)
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 0)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)

Outputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)) (+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x))) (.f64 (pow.f64 x 2) (*.f64 1/2 (fmod.f64 (exp.f64 x) 1))))
(.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 1 (neg.f64 x))))
(.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 1 x)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)) (+.f64 (+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x))) (.f64 (pow.f64 x 2) (.f64 1/2 (fmod.f64 (exp.f64 x) 1)))) (.f64 (pow.f64 x 3) (*.f64 -1/6 (fmod.f64 (exp.f64 x) 1))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))))
(.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 1 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) 0)
(fmod.f64 (exp.f64 x) 1)
(+.f64 0 (fmod.f64 (exp.f64 x) 1))
(fmod.f64 (exp.f64 x) 1)
(-.f64 (fmod.f64 (exp.f64 x) 1) 0)
(fmod.f64 (exp.f64 x) 1)
(*.f64 1 (fmod.f64 (exp.f64 x) 1))
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) 1)
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (/.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))
(fmod.f64 (exp.f64 x) 1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (fmod.f64 (exp.f64 x) 1)))
(fmod.f64 (exp.f64 x) 1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) 1)) 1))
(fmod.f64 (exp.f64 x) 1)
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) 1)) (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))
(fmod.f64 (exp.f64 x) 1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) 1)) (*.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1))))
(fmod.f64 (exp.f64 x) 1)
(/.f64 (fmod.f64 (exp.f64 x) 1) 1)
(fmod.f64 (exp.f64 x) 1)
(/.f64 (fmod.f64 (exp.f64 x) 1) (/.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))
(fmod.f64 (exp.f64 x) 1)
(pow.f64 (fmod.f64 (exp.f64 x) 1) 1)
(fmod.f64 (exp.f64 x) 1)
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (cos.f64 x))
	4.0b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 15 to 5 computations (66.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
	0.0b	(sqrt.f64 (cos.f64 x))
	4.0b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 29 to 11 computations (62.1% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
0.0ms	x	@	-inf	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
0.0ms	x	@	0	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))

rewrite265.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`rational.json-5`
804×	`exponential.json-3`
804×	`rational.json-1`
804×	`rational.json-2`
804×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	98	31
2	344	31
3	1412	31
4	6435	31

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))

Outputs

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

simplify166.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1750×	`rational.json-simplify-47`
980×	`rational.json-simplify-1`
922×	`rational.json-simplify-111`
784×	`rational.json-simplify-2`
610×	`rational.json-simplify-45`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	26	1016
1	54	978
2	122	978
3	321	978
4	1263	978
5	3208	672
6	6437	604

Stop Event

1×	node limit

Counts

20 → 19

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(-.f64 0 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x))
(*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 0)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(-.f64 0 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) 1)
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 x -1)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))

localize25.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
✓	4.0b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))

Compiler

Compiled 51 to 34 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite157.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational.json-simplify-54`
834×	`rational.json-simplify-47`
648×	`rational.json-simplify-50`
626×	`rational.json-simplify-49`
594×	`rational.json-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	72
1	128	72
2	373	72
3	1325	72
4	5198	72

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify182.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1778×	`rational.json-simplify-47`
810×	`rational.json-simplify-2`
804×	`rational.json-simplify-111`
732×	`rational.json-simplify-49`
660×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	2063
1	195	1979
2	533	1911
3	1667	1865
4	5707	1865

Stop Event

1×	node limit

Counts

53 → 50

Calls

Call 1

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

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

eval215.0ms (0.8%)

Compiler: Compiled 6472 to 3043 computations (53% saved)

prune55.0ms (0.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	303	6	309
Fresh	1	1	2
Picked	0	1	1
Done	2	3	5
Total	306	11	317

Error

60.9b

Counts

317 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.5b	(fmod.f64 (exp.f64 x) 1)
▶	61.2b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)
▶	61.4b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
✓	61.0b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
✓	61.4b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
✓	60.9b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
▶	61.5b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓	61.2b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
	61.0b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (exp.f64 (neg.f64 x)))
▶	60.9b	(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))
	60.9b	(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (exp.f64 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))

Compiler

Compiled 240 to 195 computations (18.8% saved)

localize86.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (cos.f64 x))
✓	0.3b	(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))
✓	2.3b	(-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1)
	4.0b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 69 to 29 computations (58% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1)
0.0ms	x	@	inf	(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1)

rewrite436.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`rational.json-5`
894×	`exponential.json-3`
894×	`rational.json-1`
894×	`rational.json-2`
894×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	161	52
2	497	52
3	1778	52
4	7520	52

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1)
(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))

Outputs

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

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

simplify222.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1256×	`rational.json-simplify-49`
1150×	`rational.json-simplify-43`
990×	`rational.json-simplify-1`
818×	`rational.json-simplify-50`
736×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1412
1	138	1358
2	443	1310
3	2226	1298
4	5893	1298

Stop Event

1×	node limit

Counts

52 → 46

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 0 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(+.f64 -1 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1)
(+.f64 1 (+.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(+.f64 (+.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)
(*.f64 -1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 1/2 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 1/2 (pow.f64 x 2))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) 1)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1/6 (pow.f64 x 3))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 0 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 -1 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 1 (+.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (+.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 -1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 -1 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) -1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

localize11.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	4.0b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
	4.0b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 20 to 12 computations (40% saved)

series121.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
120.0ms	x	@	inf	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
0.0ms	x	@	-inf	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
0.0ms	x	@	0	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`rational.json-5`
1736×	`exponential.json-3`
1736×	`rational.json-1`
1736×	`rational.json-2`
1736×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	74	23
2	233	23
3	875	23
4	3363	23

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))

Outputs

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

simplify218.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational.json-simplify-79`
1270×	`rational.json-simplify-49`
892×	`rational.json-simplify-47`
884×	`rational.json-simplify-2`
874×	`rational.json-simplify-76`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	546
1	36	524
2	92	524
3	248	524
4	969	524
5	2115	524
6	5214	524
7	6808	524

Stop Event

1×	node limit

Counts

18 → 16

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 0)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) 1)

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

localize44.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
	4.0b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))

Compiler

Compiled 49 to 36 computations (26.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

0.0ms

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

0.0ms

-inf

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

rewrite155.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`rational.json-simplify-54`
738×	`rational.json-simplify-47`
622×	`rational.json-simplify-58`
568×	`rational.json-simplify-50`
556×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	116	41
2	342	41
3	1231	41
4	4762	41

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))

Outputs

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

simplify281.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-111`
782×	`rational.json-simplify-2`
766×	`rational.json-simplify-104`
604×	`rational.json-simplify-79`
574×	`rational.json-simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	1155
1	81	1133
2	162	1133
3	405	1133
4	1460	1133
5	3722	1133
6	5703	1133
7	7571	1133

Stop Event

1×	node limit

Counts

21 → 23

Calls

Call 1

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

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

localize177.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
✓	2.3b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)
	4.0b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 60 to 33 computations (45% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)

0.0ms

inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)

0.0ms

-inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)

rewrite240.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`rational.json-simplify-47`
760×	`rational.json-simplify-54`
616×	`rational.json-simplify-50`
588×	`rational.json-5`
588×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	142	25
2	417	25
3	1324	25
4	5093	25

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)

Outputs

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

simplify342.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1048×	`rational.json-simplify-111`
998×	`rational.json-simplify-2`
870×	`rational.json-simplify-1`
868×	`rational.json-simplify-50`
622×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	2193
1	192	2193
2	459	2157
3	1325	2121
4	3602	2121
5	6685	2121

Stop Event

1×	node limit

Counts

45 → 72

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))
(+.f64 -1 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(+.f64 1 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 0)
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) 1)
(.f64 -1 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))))
(.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))
(.f64 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1))))
(.f64 (exp.f64 (.f64 x -2)) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (/.f64 -1 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (/.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (neg.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (*.f64 x -2)))))
(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))))
(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (/.f64 (.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (*.f64 x -2))))))
(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 -1 (neg.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(.f64 (.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))))) (/.f64 (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (*.f64 x -2)))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))

Outputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)) (+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)) (+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) (.f64 1/2 (pow.f64 x 2)))))
(.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (+.f64 (neg.f64 x) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)) (+.f64 (+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (pow.f64 x 2) 1/2))) (.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3)))))
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(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (/.f64 -1 (.f64 (exp.f64 (neg.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) 1))))) (/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))))))
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(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))) (.f64 (/.f64 -1 (.f64 (exp.f64 (neg.f64 x)) (neg.f64 (fmod.f64 (exp.f64 x) 1)))) (/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))))))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(.f64 (.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))))) (/.f64 (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (*.f64 x -2)))))))
(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))))
(.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))))))
(.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (exp.f64 (.f64 x -2)) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))))))
(.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (exp.f64 (.f64 x -2)) (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))))))
(.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))) (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) (/.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (.f64 x -2))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))

eval516.0ms (2%)

Compiler: Compiled 6427 to 3730 computations (42% saved)

prune121.0ms (0.5%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	279	5	284
Fresh	1	1	2
Picked	1	0	1
Done	1	7	8
Total	282	13	295

Error

60.9b

Counts

295 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.5b	(fmod.f64 (exp.f64 x) 1)
▶	61.5b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
▶	61.2b	(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
✓	61.4b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
✓	61.0b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
✓	61.4b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
✓	60.9b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	61.5b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓	61.2b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
▶	61.4b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (-.f64 1 x))
	61.0b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (exp.f64 (neg.f64 x)))
▶	60.9b	(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
▶	61.2b	(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))

Compiler

Compiled 271 to 224 computations (17.3% saved)

localize145.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (cos.f64 x))
✓	0.3b	(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
✓	2.3b	(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1)
	4.0b	(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))

Compiler

Compiled 54 to 20 computations (63% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1)
0.0ms	x	@	-inf	(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
0.0ms	x	@	inf	(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1)

rewrite185.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`rational.json-simplify-1`
844×	`rational.json-5`
842×	`exponential.json-3`
842×	`rational.json-1`
842×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	135	52
2	435	52
3	1642	52
4	7033	52

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs
(+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1)
(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))

Outputs

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

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

simplify328.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1662×	`rational.json-simplify-47`
1550×	`rational.json-simplify-2`
1052×	`rational.json-simplify-43`
870×	`rational.json-simplify-49`
664×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	1279
1	126	1225
2	383	1177
3	1974	1141
4	6480	1141

Stop Event

1×	node limit

Counts

45 → 39

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(-.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 1)
(-.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) -1)
(-.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 2)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)

Outputs
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x))))
(+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (pow.f64 x 2) 1/2))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 1/2 (pow.f64 x 2))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (neg.f64 x) 1)))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) x)))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (pow.f64 x 2) 1/2)) (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 x)) (.f64 -1/6 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x 3))))))
(+.f64 (+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 1 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 1/2 (pow.f64 x 2)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (neg.f64 x) 1)) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 1 x))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (.f64 -1 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 0)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) -1) -1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(-.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 2) 2)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) 1))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (/.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(pow.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1)
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(+.f64 0 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 0)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

localize187.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
✓	2.3b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
	4.0b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 58 to 41 computations (29.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

-inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)

0.0ms

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)

0.0ms

inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)

rewrite200.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

698×	`rational.json-simplify-47`
688×	`rational.json-simplify-54`
594×	`rational.json-simplify-58`
548×	`rational.json-5`
548×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	130	23
2	386	23
3	1234	23
4	4677	23

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)

Outputs

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

simplify494.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-47`
1282×	`rational.json-simplify-2`
924×	`rational.json-simplify-1`
854×	`rational.json-simplify-54`
772×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	1851
1	172	1755
2	422	1755
3	1545	1295
4	6276	1111

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

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

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

localize168.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
✓	2.3b	(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
	4.0b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 45 to 23 computations (48.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)

0.0ms

inf

(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)

0.0ms

-inf

(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)

rewrite129.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`rational.json-simplify-2`
626×	`rational.json-simplify-47`
622×	`rational.json-simplify-41`
568×	`rational.json-simplify-54`
534×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	113	25
2	331	25
3	1163	25
4	4455	25

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)

Outputs

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

simplify228.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational.json-simplify-111`
942×	`rational.json-simplify-50`
754×	`rational.json-simplify-2`
672×	`rational.json-simplify-76`
654×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	2088
1	213	2080
2	737	2040
3	1894	2004
4	4121	2004
5	6909	2004

Stop Event

1×	node limit

Counts

50 → 70

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1))))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 -1 x)))
(-.f64 1 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 0)
(-.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) 1)
(-.f64 -1 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(-.f64 0 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) -1) -1)
(-.f64 2 (-.f64 2 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 2) 2)
(-.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) -2) -2)
(-.f64 -2 (-.f64 -2 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(-.f64 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) -3) 3)
(-.f64 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 3) -3)
(-.f64 (-.f64 -1 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) -1)
(-.f64 (-.f64 0 (-.f64 -2 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 2)
(-.f64 (-.f64 0 (-.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) -1)
(.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) 1))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (*.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1))))
(.f64 (exp.f64 (.f64 x -2)) (*.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (/.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (/.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (neg.f64 (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) (neg.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (*.f64 x -2)))))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(.f64 (.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) 1)) (exp.f64 (*.f64 x -2)))
(.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)) (exp.f64 (-.f64 -1 x)))
(.f64 (.f64 (exp.f64 (neg.f64 x)) (/.f64 1 (fmod.f64 (exp.f64 x) 1))) (*.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)))
(.f64 (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))))
(.f64 (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))))) (/.f64 (/.f64 (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (*.f64 x -2)))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))

Outputs
(fmod.f64 (exp.f64 x) 1)
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (fmod.f64 (exp.f64 x) 1))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)))
(+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 x (neg.f64 (fmod.f64 (exp.f64 x) 1))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (neg.f64 x) 1))
(*.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (neg.f64 x)))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1)))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (pow.f64 x 2) 1/2)) (+.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x))))
(+.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (neg.f64 x)) (+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 (.f64 1/2 (pow.f64 x 2)) (neg.f64 x))))
(.f64 (fmod.f64 (exp.f64 x) 1) (+.f64 1 (+.f64 (neg.f64 x) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) x)) (+.f64 (.f64 -1/6 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 3))) (+.f64 (.f64 1/2 (.f64 (fmod.f64 (exp.f64 x) 1) (pow.f64 x 2))) (fmod.f64 (exp.f64 x) 1))))
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(.f64 (.f64 (exp.f64 (.f64 x -2)) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))))))
(.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (.f64 (exp.f64 (.f64 x -2)) (.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (fmod.f64 (exp.f64 x) 1)) (/.f64 1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2))) (.f64 (fmod.f64 (exp.f64 x) 1) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (.f64 x -2)))))))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (/.f64 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(pow.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(neg.f64 (neg.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))

localize217.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))
✓	0.0b	(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (-.f64 1 x))
✓	2.3b	(-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4))))) 1)
	4.0b	(fmod.f64 (exp.f64 x) (+.f64 1 (*.f64 (pow.f64 x 2) -1/4)))

Compiler

Compiled 99 to 77 computations (22.2% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite145.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational.json-simplify-47`
710×	`rational.json-simplify-49`
706×	`rational.json-5`
706×	`rational.json-simplify-1`
704×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	129
1	170	105
2	485	105
3	1598	105
4	6113	105

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify289.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1818×	`rational.json-simplify-47`
1260×	`rational.json-simplify-49`
984×	`rational.json-simplify-54`
964×	`rational.json-simplify-50`
926×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	3789
1	216	3293
2	502	3293
3	2128	3213
4	7547	3213

Stop Event

1×	node limit

Counts

89 → 75

Calls

Call 1

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

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

localize616.0ms (2.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 -1 x))
✓	0.0b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1))
✓	0.3b	(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
	4.0b	(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 38 to 27 computations (28.9% saved)

series7.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
1.0ms	x	@	inf	(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
1.0ms	x	@	0	(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
0.0ms	x	@	0	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1))
0.0ms	x	@	inf	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1))

rewrite165.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`rational.json-simplify-49`
790×	`rational.json-simplify-47`
686×	`rational.json-simplify-50`
580×	`rational.json-simplify-58`
576×	`rational.json-5`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	108	65
2	336	65
3	1276	57
4	5021	57

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1))
(exp.f64 (-.f64 -1 x))

Outputs

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

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

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

simplify251.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1614×	`rational.json-simplify-49`
1096×	`rational.json-simplify-54`
864×	`rational.json-simplify-1`
854×	`rational.json-simplify-2`
816×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1847
1	289	1557
2	644	1313
3	1665	1217
4	4032	1217
5	7854	1217

Stop Event

1×	node limit

Counts

63 → 82

Calls

Call 1

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

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

eval633.0ms (2.4%)

Compiler: Compiled 10233 to 6742 computations (34.1% saved)

prune389.0ms (1.5%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	447	7	454
Fresh	1	0	1
Picked	0	1	1
Done	2	9	11
Total	450	17	467

Error

60.9b

Counts

467 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.5b	(fmod.f64 (exp.f64 x) 1)
	61.5b	(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
✓	61.2b	(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
	61.5b	(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
✓	61.4b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
✓	61.0b	(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
✓	61.4b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
✓	60.9b	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
✓	61.5b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
	61.5b	(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
	61.2b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
✓	61.2b	(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
	61.0b	(.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 1) -1) (exp.f64 (neg.f64 x)))
✓	60.9b	(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
	61.4b	(.f64 (+.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) -1) (-.f64 1 x))
	61.2b	(.f64 (exp.f64 (-.f64 -1 x)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))) 1))
✓	61.2b	(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))

Compiler

Compiled 222 to 182 computations (18% saved)

regimes31.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)
(.f64 (+.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) -1) (-.f64 1 x))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (-.f64 -1 x)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))) 1))
(.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 1) -1) (exp.f64 (neg.f64 x)))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (exp.f64 1) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(.f64 (.f64 (/.f64 1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 (neg.f64 x)))

Outputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)

Calls

2 calls:

17.0ms	x
5.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
60.9b	1	`x`
60.9b	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 365 to 218 computations (40.3% saved)

regimes29.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)
(.f64 (+.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) -1) (-.f64 1 x))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (-.f64 -1 x)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))) 1))
(.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 1) -1) (exp.f64 (neg.f64 x)))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
(*.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) 1) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))

Calls

2 calls:

14.0ms	x
7.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
60.9b	1	`x`
60.9b	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 309 to 200 computations (35.3% saved)

regimes122.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)
(.f64 (+.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) -1) (-.f64 1 x))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (-.f64 -1 x)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))) 1))
(.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 1) -1) (exp.f64 (neg.f64 x)))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))

Calls

2 calls:

102.0ms	(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
13.0ms	x

Results

Error	Segments	Branch
60.9b	1	`x`
60.9b	1	`(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 279 to 188 computations (32.6% saved)

regimes100.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)
(.f64 (+.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) -1) (-.f64 1 x))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(.f64 (exp.f64 (-.f64 -1 x)) (-.f64 (-.f64 0 (-.f64 -1 (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))) 1))
(.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) 1) -1) (exp.f64 (neg.f64 x)))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (exp.f64 (neg.f64 x)))

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

Calls

1 calls:

93.0ms

Results

Error	Segments	Branch
61.0b	1	`x`

Compiler

Compiled 258 to 179 computations (30.6% saved)

regimes19.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x))))) 1)
(.f64 (+.f64 (+.f64 1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4)))) -1) (-.f64 1 x))
(.f64 (-.f64 (-.f64 0 (-.f64 -1 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))))) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 1 x))
(.f64 (exp.f64 (-.f64 -1 x)) (.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 1)))

Outputs
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
61.2b	1	`x`

Compiler

Compiled 188 to 130 computations (30.9% saved)

regimes10.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
61.2b	1	`x`

Compiler

Compiled 82 to 59 computations (28% saved)

regimes8.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
61.2b	1	`x`

Compiler

Compiled 71 to 51 computations (28.2% saved)

regimes8.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(+.f64 (+.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))) 1)
(+.f64 (+.f64 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)) -2) 2)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x)))) 1)

Outputs
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
61.5b	1	`x`

Compiler

Compiled 63 to 46 computations (27% saved)

regimes192.0ms (0.7%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(fmod.f64 (exp.f64 x) 1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))

Outputs
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))

Calls

1 calls:

191.0ms

Results

Error	Segments	Branch
61.5b	1	`x`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	330

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) 1)

Outputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))) 1)
(*.f64 (+.f64 (+.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) 1) -1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(.f64 (fmod.f64 (exp.f64 x) (+.f64 1 (.f64 (pow.f64 x 2) -1/4))) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 1 (*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))) -1)
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (+.f64 1 (-.f64 -1 x))))
(*.f64 (fmod.f64 (exp.f64 x) 1) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 -1 (-.f64 x 2)))
(*.f64 (fmod.f64 (exp.f64 x) 1) (-.f64 1 x))
(fmod.f64 (exp.f64 x) 1)

Compiler

Compiled 117 to 94 computations (19.7% saved)

soundness0.0ms (0%)

end218.0ms (0.8%)

Compiler: Compiled 108 to 59 computations (45.4% saved)