Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 10 to 8 computations (20% saved)

sample1.4s (32.9%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess70.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1460×	`rational.json-simplify-2`
1160×	`rational.json-simplify-44`
1120×	`rational.json-simplify-59`
1090×	`rational.json-simplify-47`
786×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	22	25
2	38	25
3	61	25
4	123	25
5	316	25
6	426	25
7	477	25
8	775	25
9	5194	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational.json-simplify-2`
1160×	`rational.json-simplify-44`
1120×	`rational.json-simplify-59`
1090×	`rational.json-simplify-47`
786×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	22	25
2	38	25
3	61	25
4	123	25
5	316	25
6	426	25
7	477	25
8	775	25
9	5194	25

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`bool.json-1`
1400×	`bool.json-2`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	105	44
2	310	44
3	723	44
4	1648	44
5	4289	44

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (neg.f64 x)) (+.f64 1 (exp.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (exp.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))))

simplify133.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational.json-simplify-35`
1178×	`rational.json-simplify-59`
1036×	`rational.json-simplify-41`
930×	`rational.json-simplify-19`
738×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1750
1	253	1750
2	1029	1750
3	2273	1750
4	5076	1750
5	7555	1750

Stop Event

1×	node limit

Counts

76 → 73

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(+.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(-.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))
(.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(*.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(.f64 (.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 1/4)
(*.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)
(.f64 1/4 (.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 1/4 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(.f64 1/4 (/.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(.f64 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) 1/4)
(.f64 (/.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) 1/4)
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(.f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)
(-.f64 0 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (exp.f64 (+.f64 x x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(*.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))
(.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) 2)
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 1/8)
(.f64 1/2 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) 4)
(*.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(/.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)) 16)
(neg.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 5/24 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -61/720 (pow.f64 x 6)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -61/720 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 5/24 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 -61/720 (pow.f64 x 6)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 5/24 (pow.f64 x 4)) (*.f64 -61/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 5/24 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -61/720 (pow.f64 x 6)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 (+.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 4) 1/12))
(+.f64 (pow.f64 x 2) (+.f64 2 (*.f64 (pow.f64 x 4) 1/12)))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 4) 1/12) (.f64 (pow.f64 x 6) 1/360))))
(+.f64 2 (+.f64 (.f64 (pow.f64 x 4) 1/12) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 6) 1/360))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 0 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(+.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 0)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 2 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 1 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 4 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 1/4)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 1/2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 1/4 (.f64 2 (/.f64 4 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 1/4 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 1/4 (/.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) 1/4)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) 1/4)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))) (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 1 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (/.f64 1/2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (/.f64 (/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 4) 4)
(/.f64 2 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 0)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(-.f64 0 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (exp.f64 (+.f64 x x))))
(*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 1/2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 1/4)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2) 2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 1/8)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 1/2 (.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 1/4 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(.f64 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/4) 4)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 (+.f64 x x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 1 (exp.f64 (+.f64 x x))))
(.f64 1/8 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (*.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 4) 4)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (*.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8) 8)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 8)) 16)
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(neg.f64 (neg.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))

eval15.0ms (0.4%)

Compiler: Compiled 1088 to 528 computations (51.5% saved)

prune9.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	70	4	74

Error

0.0b

Counts

74 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	16.0b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
▶	32.2b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	31.7b	1

Compiler

Compiled 27 to 23 computations (14.8% saved)

localize9.0ms (0.2%)

Compiler: Compiled 20 to 16 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite88.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`bool.json-1`
976×	`bool.json-2`
960×	`rational.json-simplify-35`
934×	`rational.json-1`
934×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	73	19
2	227	19
3	532	19
4	1184	19
5	2999	19
6	7559	19

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/2) (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 4 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 8 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 (+.f64 2 (pow.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 (+.f64 2 (pow.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (+.f64 2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/2) (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 8 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (*.f64 (+.f64 2 (pow.f64 x 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (*.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (+.f64 2 (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 2 (+.f64 2 (pow.f64 x 2))))))))

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1846×	`rational.json-simplify-35`
1028×	`rational.json-simplify-2`
1028×	`rational.json-simplify-19`
788×	`rational.json-simplify-59`
748×	`rational.json-simplify-1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	83	1447
1	163	1447
2	283	1447
3	490	1447
4	1031	1447
5	2908	1393
6	5228	1393
7	6973	1393

Stop Event

1×	node limit

Counts

37 → 52

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)
(+.f64 0 (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(-.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)
(*.f64 2 (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(*.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 1)
(*.f64 1 (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(*.f64 4 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))))
(.f64 (.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) 1/2)
(.f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/2) (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 (.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))) 1/4)
(*.f64 1/2 (/.f64 4 (+.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) 2)
(.f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 1/4 (.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))))
(*.f64 1/4 (/.f64 8 (+.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) 1/4)
(*.f64 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))) 4)
(.f64 (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 (+.f64 2 (pow.f64 x 2)) 1/4))
(.f64 (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 (+.f64 2 (pow.f64 x 2)) 1/2))
(*.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2)))
(.f64 (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 2 (+.f64 2 (pow.f64 x 2))))
(neg.f64 (/.f64 -2 (+.f64 2 (pow.f64 x 2))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 6)) (*.f64 1/4 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 6)) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/4 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/4 (pow.f64 x 4))) (*.f64 -1/8 (pow.f64 x 6))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/4 (pow.f64 x 4)) (+.f64 1 (*.f64 -1/8 (pow.f64 x 6)))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(/.f64 2 (pow.f64 x 2))
(-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 8 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (-.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 8 (/.f64 1 (pow.f64 x 6))) (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 4))) (.f64 16 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(+.f64 0 (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(+.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(*.f64 2 (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(-.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 0)
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(*.f64 2 (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(+.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(*.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 2 (.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(*.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) 1)
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(*.f64 1 (/.f64 2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(*.f64 4 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))))
(.f64 (.f64 2 (+.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(*.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 2 (.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(*.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) 1/2)
(*.f64 1/2 (/.f64 4 (+.f64 2 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/2) (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 (+.f64 2 (pow.f64 x 2)) (.f64 1/2 (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2)))))
(.f64 1/2 (.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 4 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 (+.f64 2 (pow.f64 x 2)) (.f64 1/2 (/.f64 4 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/2) (/.f64 4 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(.f64 (.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))) 1/4)
(*.f64 1/2 (/.f64 4 (+.f64 2 (pow.f64 x 2))))
(*.f64 1/2 (/.f64 4 (+.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) 2)
(+.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(*.f64 2 (/.f64 1 (+.f64 2 (pow.f64 x 2))))
(.f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/4) (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 (+.f64 2 (pow.f64 x 2)) (.f64 1/4 (/.f64 8 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 1/4 (+.f64 2 (pow.f64 x 2))) (/.f64 8 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(.f64 (.f64 1/4 (+.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 1/4 (.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 8 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 1/4 (.f64 2 (/.f64 4 (+.f64 2 (pow.f64 x 2)))))
(*.f64 1/2 (/.f64 4 (+.f64 2 (pow.f64 x 2))))
(*.f64 1/4 (/.f64 8 (+.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) 1/4)
(*.f64 1/4 (/.f64 8 (+.f64 2 (pow.f64 x 2))))
(*.f64 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))) 4)
(*.f64 4 (/.f64 1/2 (+.f64 2 (pow.f64 x 2))))
(.f64 (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 (+.f64 2 (pow.f64 x 2)) 1/4))
(.f64 (+.f64 2 (pow.f64 x 2)) (.f64 1/4 (/.f64 8 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 1/4 (+.f64 2 (pow.f64 x 2))) (/.f64 8 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(.f64 (.f64 1/4 (+.f64 2 (pow.f64 x 2))) (/.f64 (/.f64 8 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 1/4 (.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 8 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 (+.f64 2 (pow.f64 x 2)) 1/2))
(.f64 (+.f64 2 (pow.f64 x 2)) (.f64 1/2 (/.f64 (/.f64 4 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2)))))
(.f64 1/2 (.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 4 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 (+.f64 2 (pow.f64 x 2)) (.f64 1/2 (/.f64 4 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2))))))
(.f64 (.f64 (+.f64 2 (pow.f64 x 2)) 1/2) (/.f64 4 (*.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(*.f64 (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2)))
(*.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 2 (.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(.f64 (/.f64 (/.f64 1 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))) (.f64 2 (+.f64 2 (pow.f64 x 2))))
(*.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 2 (+.f64 2 (pow.f64 x 2))) (+.f64 2 (pow.f64 x 2))))
(.f64 (+.f64 2 (pow.f64 x 2)) (/.f64 2 (.f64 (+.f64 2 (pow.f64 x 2)) (+.f64 2 (pow.f64 x 2)))))
(neg.f64 (/.f64 -2 (+.f64 2 (pow.f64 x 2))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))

eval21.0ms (0.5%)

Compiler: Compiled 840 to 725 computations (13.7% saved)

prune8.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	51	5	56

Error

0.0b

Counts

56 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.6b	(/.f64 2 (pow.f64 x 2))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	16.0b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
✓	32.2b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	31.7b	1

Compiler

Compiled 33 to 28 computations (15.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (pow.f64 x 2))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite76.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`bool.json-1`
1774×	`bool.json-2`
1346×	`bool.json-3`
862×	`rational.json-simplify-35`
734×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	63	13
2	202	13
3	462	13
4	1001	13
5	2416	13
6	6469	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (pow.f64 x 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 2) (/.f64 (/.f64 2 (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 x 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/2) (/.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (pow.f64 x 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 (/.f64 8 (pow.f64 x 2)) (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (/.f64 2 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 8 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (pow.f64 x 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 x 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8 (pow.f64 x 2)) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 x 2)) (*.f64 (pow.f64 x 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (*.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 2 (pow.f64 x 2)) (/.f64 2 (pow.f64 x 2)))))))

simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1872×	`rational.json-simplify-35`
1306×	`rational.json-simplify-2`
1174×	`rational.json-simplify-59`
896×	`rational.json-simplify-51`
830×	`rational.json-simplify-53`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	52	631
1	95	631
2	191	631
3	400	631
4	1101	631
5	2916	595
6	6469	595

Stop Event

1×	node limit

Counts

25 → 32

Calls

Call 1

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

Outputs
(+.f64 (/.f64 2 (pow.f64 x 2)) 0)
(/.f64 2 (pow.f64 x 2))
(+.f64 0 (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))
(*.f64 2 (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 2 (pow.f64 x 2)) 0)
(/.f64 2 (pow.f64 x 2))
(*.f64 2 (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))
(*.f64 (pow.f64 x 2) (/.f64 (/.f64 2 (pow.f64 x 2)) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (/.f64 2 (.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 (/.f64 2 (pow.f64 x 2)) 1)
(/.f64 2 (pow.f64 x 2))
(*.f64 1 (/.f64 2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))
(*.f64 4 (/.f64 1/2 (pow.f64 x 2)))
(.f64 (.f64 2 (pow.f64 x 2)) (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (/.f64 2 (.f64 (pow.f64 x 2) (pow.f64 x 2))))
(*.f64 (/.f64 4 (pow.f64 x 2)) 1/2)
(*.f64 1/2 (/.f64 4 (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) 1/2) (/.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) 1/2) (/.f64 4 (*.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 4 (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 1/2 (/.f64 4 (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (.f64 (/.f64 2 (pow.f64 x 2)) 4) 1/4)
(/.f64 2 (pow.f64 x 2))
(*.f64 1/2 (/.f64 4 (pow.f64 x 2)))
(*.f64 (/.f64 1 (pow.f64 x 2)) 2)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 2)))
(*.f64 2 (/.f64 1 (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 (/.f64 8 (pow.f64 x 2)) (pow.f64 x 2)))
(.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 8 (*.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 1/4 (/.f64 8 (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 1/4 (.f64 (/.f64 2 (pow.f64 x 2)) 4))
(/.f64 2 (pow.f64 x 2))
(*.f64 1/4 (/.f64 8 (pow.f64 x 2)))
(*.f64 (/.f64 8 (pow.f64 x 2)) 1/4)
(*.f64 1/4 (/.f64 8 (pow.f64 x 2)))
(*.f64 (/.f64 1/2 (pow.f64 x 2)) 4)
(*.f64 4 (/.f64 1/2 (pow.f64 x 2)))
(.f64 (/.f64 (/.f64 8 (pow.f64 x 2)) (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/4))
(.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 8 (*.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (.f64 1/4 (/.f64 8 (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (/.f64 (/.f64 4 (pow.f64 x 2)) (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/2))
(.f64 (.f64 (pow.f64 x 2) 1/2) (/.f64 4 (*.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 1/2 (.f64 (pow.f64 x 2) (/.f64 4 (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (.f64 1/2 (/.f64 4 (*.f64 (pow.f64 x 2) (pow.f64 x 2)))))
(*.f64 (/.f64 (/.f64 2 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 x 2))
(.f64 (pow.f64 x 2) (/.f64 2 (.f64 (pow.f64 x 2) (pow.f64 x 2))))
(.f64 (/.f64 (/.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (.f64 2 (pow.f64 x 2)))
(.f64 (pow.f64 x 2) (/.f64 2 (.f64 (pow.f64 x 2) (pow.f64 x 2))))
(neg.f64 (/.f64 -2 (pow.f64 x 2)))
(/.f64 2 (pow.f64 x 2))

eval10.0ms (0.2%)

Compiler: Compiled 336 to 275 computations (18.2% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	32	5	37

Error

0.0b

Counts

37 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.6b	(/.f64 2 (pow.f64 x 2))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	16.0b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
✓	32.2b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	31.7b	1

Compiler

Compiled 33 to 28 computations (15.2% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

0.0b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	46.6b	(/.f64 2 (pow.f64 x 2))
✓	0.0b	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	16.0b	(/.f64 2 (+.f64 2 (pow.f64 x 2)))
✓	32.2b	(+.f64 1 (*.f64 -1/2 (pow.f64 x 2)))
	31.7b	1

Compiler

Compiled 33 to 28 computations (15.2% saved)

regimes9.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`
0.0b	1	`(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 47 to 37 computations (21.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 2 (+.f64 2 (pow.f64 x 2)))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
16.0b	1	`x`

Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes10.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
16.0b	3	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch39.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0492245048882362	756320.9003485049
22.0ms	-1400.8732994223992	-4.396233961980536e-22

Results

35.0ms

320×

body

256

valid

Compiler

Compiled 333 to 290 computations (12.9% saved)

regimes9.0ms (0.2%)

Accuracy

Total -46.2b remaining (-287.2%)

Threshold costs -46.2b (-287.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
16.1b	3	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch37.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.0492245048882362	756320.9003485049
20.0ms	-1400.8732994223992	-4.396233961980536e-22

Results

34.0ms

320×

body

256

valid

Compiler

Compiled 213 to 190 computations (10.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	153

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 5/4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2))))
(if (<=.f64 x -799388933858263/562949953421312) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (pow.f64 x 2))))
1

Outputs
(/.f64 2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (+.f64 2 (pow.f64 x 2)))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 5/4) (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))) (/.f64 2 (pow.f64 x 2))))
(if (<=.f64 x -799388933858263/562949953421312) (/.f64 2 (pow.f64 x 2)) (if (<=.f64 x 3152519739159347/2251799813685248) 1 (/.f64 2 (pow.f64 x 2))))
1

Compiler

Compiled 65 to 53 computations (18.5% saved)

soundness0.0ms (0%)

end1.9s (45.5%)

Compiler: Compiled 61 to 49 computations (19.7% saved)

Details

analyze0.0ms (0%)

sample1.4s (32.9%)

preprocess70.0ms (1.7%)

simplify65.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite70.0ms (1.7%)

simplify133.0ms (3.2%)

eval15.0ms (0.4%)

prune9.0ms (0.2%)

localize9.0ms (0.2%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite88.0ms (2.1%)

simplify112.0ms (2.7%)

eval21.0ms (0.5%)

prune8.0ms (0.2%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite76.0ms (1.8%)

simplify79.0ms (1.9%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

bsearch39.0ms (0.9%)

regimes9.0ms (0.2%)

bsearch37.0ms (0.9%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end1.9s (45.5%)

Profiling