Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample921.0ms (20.1%)

Results

908.0ms

8256×

body

256

valid

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acosh.f64 x)

Outputs
(acosh.f64 x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify25.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-1`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-16`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	14	27
2	17	27
3	19	27
4	23	27
5	23	27

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))

eval1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

26.3b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	26.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	0.0b	(-.f64 (*.f64 x x) 1)
✓	0.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	24.3b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite113.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`rational.json-1`
2006×	`rational.json-5`
2006×	`rational.json-2`
2006×	`rational.json-3`
2004×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	80
1	85	80
2	270	80
3	984	80
4	3957	80

Stop Event

1×	node limit

Counts

4 → 51

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(-.f64 (*.f64 x x) 1)
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

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

simplify202.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational.json-simplify-54`
1076×	`rational.json-simplify-50`
722×	`exponential.json-simplify-29`
614×	`rational.json-simplify-1`
598×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	194	2725
1	365	2709
2	908	2709
3	2851	2709
4	7337	2709

Stop Event

1×	node limit

Counts

99 → 148

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 1)
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))) 1))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1)
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) 1))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 (*.f64 x x) -1) 0)
(+.f64 0 (+.f64 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(.f64 1 (+.f64 (.f64 x x) -1))
(.f64 (+.f64 (.f64 x x) -1) 1)
(.f64 (+.f64 (.f64 x x) -1) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 1 (+.f64 (*.f64 x x) -1)))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 1 (+.f64 (.f64 x x) -1)) 1))
(.f64 (/.f64 1 (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(.f64 (.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (/.f64 1 (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(/.f64 (+.f64 (*.f64 x x) -1) 1)
(/.f64 (+.f64 (.f64 x x) -1) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(pow.f64 (+.f64 (*.f64 x x) -1) 1)
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) 1)
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (sqrt.f64 -1) (+.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1)))) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (sqrt.f64 -1))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 x))
(+.f64 (*.f64 1/2 (/.f64 1 x)) (neg.f64 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))) (neg.f64 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1)))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (+.f64 (/.f64 x (sqrt.f64 -1)) (.f64 3/40 (/.f64 (pow.f64 x 5) (sqrt.f64 -1)))) (.f64 -1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 (/.f64 -1 x))))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 -1/2)) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (+.f64 (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 -1/2)) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(-.f64 (pow.f64 x 2) 1)
(+.f64 (pow.f64 x 2) -1)
(+.f64 -1 (pow.f64 x 2))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 x (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 x (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (.f64 x 2) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))) 1))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 1)
(sqrt.f64 (+.f64 -1 (*.f64 x x)))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x)))))
(+.f64 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(+.f64 (+.f64 (*.f64 x x) -1) 0)
(+.f64 -1 (*.f64 x x))
(+.f64 0 (+.f64 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(+.f64 -1 (*.f64 x x))
(.f64 1 (+.f64 (.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) -1) 1)
(+.f64 -1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) -1) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))
(+.f64 -1 (*.f64 x x))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 1 (+.f64 (*.f64 x x) -1)))
(+.f64 -1 (*.f64 x x))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 1 (+.f64 (.f64 x x) -1)) 1))
(+.f64 -1 (*.f64 x x))
(.f64 (/.f64 1 (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(+.f64 -1 (*.f64 x x))
(.f64 (.f64 (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (/.f64 1 (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(+.f64 -1 (*.f64 x x))
(/.f64 (+.f64 (*.f64 x x) -1) 1)
(+.f64 -1 (*.f64 x x))
(/.f64 (+.f64 (.f64 x x) -1) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(+.f64 -1 (*.f64 x x))
(pow.f64 (+.f64 (*.f64 x x) -1) 1)
(+.f64 -1 (*.f64 x x))
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 0)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))

eval66.0ms (1.4%)

Compiler: Compiled 2895 to 2185 computations (24.5% saved)

prune29.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	6	148
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	142	7	149

Error

Counts

149 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	1.3b	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
▶	63.0b	(log.f64 (/.f64 1/2 x))
▶	0.8b	(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
▶	1.0b	(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))
▶	1.0b	(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
✓	26.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	1.4b	(log.f64 (+.f64 x x))

Compiler

Compiled 130 to 103 computations (20.8% saved)

localize39.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
✓	0.2b	(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
✓	0.5b	(/.f64 1 (pow.f64 x 3))

Compiler

Compiled 81 to 66 computations (18.5% saved)

series4.0ms (0.1%)

Counts

3 → 21

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
1.0ms	x	@	0	(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
1.0ms	x	@	0	(/.f64 1 (pow.f64 x 3))
1.0ms	x	@	-inf	(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
0.0ms	x	@	inf	(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))

rewrite156.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`rational.json-simplify-49`
950×	`rational.json-simplify-47`
660×	`rational.json-1`
660×	`rational.json-5`
660×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	103
1	147	103
2	419	103
3	1527	103
4	5760	103

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 x 3))
(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))

Outputs
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Outputs

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simplify195.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

978×	`rational.json-simplify-49`
852×	`rational.json-simplify-2`
822×	`rational.json-simplify-44`
770×	`rational.json-simplify-54`
678×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	165	2715
1	324	2699
2	733	2699
3	2384	2699
4	6668	2699

Stop Event

1×	node limit

Counts

71 → 93

Calls

Call 1

Inputs
(+.f64 (*.f64 -3 (log.f64 x)) (log.f64 -1/8))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -3 (log.f64 x)) (log.f64 -1/8)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -3 (log.f64 x)) (+.f64 (*.f64 -24 (pow.f64 x 4)) (log.f64 -1/8))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -3 (log.f64 x)) (+.f64 (.f64 256/3 (pow.f64 x 6)) (+.f64 (.f64 -24 (pow.f64 x 4)) (log.f64 -1/8)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1/8 (pow.f64 x 3))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) 0)
(+.f64 0 (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 3)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (pow.f64 x 3)))) 1)
(*.f64 1 (/.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (pow.f64 x 3)) 1)
(*.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 3))))
(.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (/.f64 1 (pow.f64 x 3))))
(.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 1 (/.f64 1 (pow.f64 x 3))) 1))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 x 3))) (.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 3))))
(.f64 (.f64 (/.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 3))))) (/.f64 (/.f64 1 (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 3)))))
(pow.f64 (/.f64 1 (pow.f64 x 3)) 1)
(neg.f64 (neg.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) 0)
(+.f64 0 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))))
(-.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) 0)
(-.f64 0 (neg.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))))) 1)
(.f64 1 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))))
(.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) 1)
(.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (/.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))))
(.f64 (.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))) (/.f64 1 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))))
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Outputs
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(.f64 (.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))) (.f64 (/.f64 1 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))) 1))
(log.f64 (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) x)))
(.f64 (/.f64 1 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))) (.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))))
(log.f64 (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) x)))
(.f64 (.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))))) (/.f64 (/.f64 1 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))) (.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))))))
(log.f64 (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) x)))
(/.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) 1)
(log.f64 (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) x)))
(/.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (/.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))))
(log.f64 (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) x)))
(pow.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x))) 1)
(log.f64 (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) x)))
(neg.f64 (neg.f64 (log.f64 (-.f64 x (-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) x)))))
(log.f64 (-.f64 x (-.f64 (+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) x)))
(-.f64 (.f64 1/2 (/.f64 1 x)) (neg.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8) (neg.f64 (.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) 0)
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 0 (-.f64 (neg.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (-.f64 -1 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))) 1)
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))) (-.f64 1 (.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 1/2 (/.f64 1 x)))) (-.f64 1 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)))) 1)
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8) (-.f64 -1 (.f64 1/2 (/.f64 1 x)))) 1)
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(.f64 1 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) 1)
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))) (/.f64 1 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))) (.f64 (/.f64 1 (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8))) 1))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(.f64 (/.f64 1 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))) (.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))))) (/.f64 (/.f64 1 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))) (.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) 1)
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(pow.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) 1)
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(neg.f64 (-.f64 (neg.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 1/8)) (.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 (/.f64 1 x) 1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series59.0ms (1.3%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(log.f64 (+.f64 x x))
21.0ms	x	@	-inf	(log.f64 (+.f64 x x))
9.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite86.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`rational.json-1`
1222×	`rational.json-5`
1222×	`rational.json-2`
1222×	`rational.json-3`
1220×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	50	11
2	177	11
3	622	11
4	2374	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

Outputs

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

simplify286.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-49`
1384×	`rational.json-simplify-2`
970×	`rational.json-simplify-43`
946×	`rational.json-simplify-54`
724×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	485
1	94	469
2	283	469
3	1660	469
4	5289	469
5	7526	469

Stop Event

1×	node limit

Counts

31 → 25

Calls

Call 1

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

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

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series63.0ms (1.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	-inf	(log.f64 (/.f64 1/2 x))
13.0ms	x	@	0	(log.f64 (/.f64 1/2 x))
7.0ms	x	@	inf	(log.f64 (/.f64 1/2 x))

rewrite85.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational.json-1`
1288×	`rational.json-5`
1288×	`rational.json-2`
1288×	`rational.json-3`
1286×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	184	11
3	655	11
4	2507	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify284.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-49`
1372×	`rational.json-simplify-2`
962×	`rational.json-simplify-43`
938×	`rational.json-simplify-54`
724×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	461
1	92	453
2	282	453
3	1653	453
4	5261	453
5	7515	453

Stop Event

1×	node limit

Counts

31 → 25

Calls

Call 1

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

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

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (*.f64 1/2 (/.f64 1 x)))
✓	0.0b	(+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))
✓	0.2b	(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))

Compiler

Compiled 38 to 27 computations (28.9% saved)

series2.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite107.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`rational.json-1`
1924×	`rational.json-5`
1924×	`rational.json-2`
1924×	`rational.json-3`
1922×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	90	73
2	269	73
3	993	73
4	3780	73

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

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

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

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

simplify221.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-49`
1388×	`rational.json-simplify-2`
1044×	`rational.json-simplify-50`
894×	`rational.json-simplify-54`
876×	`exponential.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	134	1907
1	233	1883
2	576	1883
3	2359	1883
4	7543	1883

Stop Event

1×	node limit

Counts

67 → 89

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
x
x
(+.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 0)
(+.f64 0 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(-.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 0)
(.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))
(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) 1)
(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(.f64 (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 1 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))
(.f64 (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) 1))
(.f64 (/.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))
(.f64 (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))))
(/.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 1)
(/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))
(pow.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 1)
(-.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))) 0)
(.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))
(.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) 1)
(.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (/.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (/.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) 1))
(.f64 (/.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (/.f64 (/.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(/.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))) 1)
(/.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (/.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(pow.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))) 1)
(+.f64 (-.f64 x (*.f64 1/2 (/.f64 1 x))) 0)
(+.f64 0 (-.f64 x (*.f64 1/2 (/.f64 1 x))))
(+.f64 (-.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 x)) x)) 1)
(.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x))))
(.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) 1)
(.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (/.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (-.f64 x (.f64 1/2 (/.f64 1 x)))))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) -1)
(.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x)) (/.f64 1 (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x)) (.f64 (/.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x)))) 1))
(.f64 (/.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (*.f64 1/2 (/.f64 1 x)) x)))
(.f64 (.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x)))) (/.f64 (/.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x))))
(/.f64 (-.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(/.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (/.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 x)) x) -1)
(pow.f64 (-.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(neg.f64 (-.f64 (*.f64 1/2 (/.f64 1 x)) x))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (.f64 -8 (pow.f64 x 4))))
(+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (+.f64 (.f64 -8 (pow.f64 x 4)) (log.f64 -1/2)))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (+.f64 (*.f64 -8 (pow.f64 x 4)) (log.f64 -1/2))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4)))) (*.f64 -64/3 (pow.f64 x 6))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 (/.f64 1 x) 1/2))
(/.f64 -1/2 x)
x
x
(+.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 0)
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(+.f64 0 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(-.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 0)
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) 1)
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 1 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) 1))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (/.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(/.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 1)
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(pow.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 1)
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(-.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))) 0)
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) 1)
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (/.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(.f64 (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(.f64 (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (/.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) 1))
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(.f64 (/.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(.f64 (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (/.f64 (/.f64 1 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(/.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))) 1)
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(/.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (/.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))) (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(pow.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))) 1)
(+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2)))
(+.f64 (-.f64 x (*.f64 1/2 (/.f64 1 x))) 0)
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(+.f64 0 (-.f64 x (*.f64 1/2 (/.f64 1 x))))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(+.f64 (-.f64 -1 (-.f64 (*.f64 1/2 (/.f64 1 x)) x)) 1)
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x))))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) 1)
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (/.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (-.f64 x (.f64 1/2 (/.f64 1 x)))))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) -1)
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x)) (/.f64 1 (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x)) (.f64 (/.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x)))) 1))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 (/.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (*.f64 1/2 (/.f64 1 x)) x)))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(.f64 (.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x)))) (/.f64 (/.f64 1 (-.f64 x (.f64 1/2 (/.f64 1 x)))) (.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) x) (-.f64 (.f64 1/2 (/.f64 1 x)) x))))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(/.f64 (-.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(/.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (/.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 x)) x) -1)
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(pow.f64 (-.f64 x (*.f64 1/2 (/.f64 1 x))) 1)
(-.f64 x (*.f64 (/.f64 1 x) 1/2))
(neg.f64 (-.f64 (*.f64 1/2 (/.f64 1 x)) x))
(-.f64 x (*.f64 (/.f64 1 x) 1/2))

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite93.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`rational.json-1`
1908×	`rational.json-5`
1908×	`rational.json-2`
1908×	`rational.json-3`
1906×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	97	29
2	280	29
3	1024	29
4	3783	29

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))

Outputs

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

simplify287.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1328×	`rational.json-simplify-47`
1074×	`rational.json-simplify-49`
896×	`exponential.json-simplify-26`
890×	`rational.json-simplify-2`
836×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1073
1	146	1049
2	324	1049
3	1356	1049
4	5147	1049
5	7904	1049

Stop Event

1×	node limit

Counts

25 → 59

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) 1)
(.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) 1))
(.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))) (/.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)
(/.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 -1/2)))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (.f64 -8 (pow.f64 x 4))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4))) (log.f64 -1/2)))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6)))) (log.f64 -1/2)))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 -64/3 (pow.f64 x 6))) (+.f64 (log.f64 -1/2) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) 1)
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) 1))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(.f64 (.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))) (/.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))

eval157.0ms (3.4%)

Compiler: Compiled 6366 to 4936 computations (22.5% saved)

prune37.0ms (0.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	289	2	291
Fresh	1	0	1
Picked	1	0	1
Done	0	5	5
Total	291	7	298

Error

Counts

298 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.3b	(+.f64 (log.f64 2) (log.f64 x))
✓	63.0b	(log.f64 (/.f64 1/2 x))
▶	1.0b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	0.8b	(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
✓	1.0b	(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
✓	26.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	1.4b	(log.f64 (+.f64 x x))

Compiler

Compiled 65 to 50 computations (23.1% saved)

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite86.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`rational.json-1`
1694×	`rational.json-5`
1694×	`rational.json-2`
1694×	`rational.json-3`
1692×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	81	23
2	249	23
3	893	23
4	3331	23

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Outputs

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

simplify174.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational.json-simplify-47`
1198×	`rational.json-simplify-49`
1014×	`rational.json-simplify-2`
928×	`rational.json-simplify-1`
870×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	1018
1	141	994
2	337	994
3	1493	994
4	5661	994

Stop Event

1×	node limit

Counts

26 → 55

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(.f64 (.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (/.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (.f64 -8 (pow.f64 x 4))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 -64/3 (pow.f64 x 6))) (log.f64 -1/2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(.f64 (.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (/.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(.f64 (/.f64 (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(pow.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

series49.0ms (1.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
13.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
11.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))

rewrite87.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`rational.json-1`
1476×	`rational.json-5`
1476×	`rational.json-2`
1476×	`rational.json-3`
1474×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	66	15
2	209	15
3	748	15
4	2888	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))

Outputs

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

simplify183.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-50`
1224×	`rational.json-simplify-54`
1216×	`rational.json-simplify-43`
1170×	`rational.json-simplify-58`
680×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	693
1	147	585
2	401	585
3	2351	585
4	6356	585

Stop Event

1×	node limit

Counts

31 → 28

Calls

Call 1

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

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

eval33.0ms (0.7%)

Compiler: Compiled 1640 to 1220 computations (25.6% saved)

prune13.0ms (0.3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	83	7	90

Error

Counts

90 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(+.f64 (log.f64 2) (log.f64 x))
✓	63.0b	(log.f64 (/.f64 1/2 x))
✓	1.0b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	0.8b	(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
✓	1.0b	(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
✓	26.3b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	1.4b	(log.f64 (+.f64 x x))

Compiler

Compiled 65 to 50 computations (23.1% saved)

regimes21.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))

Outputs
(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))

Calls

3 calls:

7.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
6.0ms	x
6.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.8b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 98 to 73 computations (25.5% saved)

regimes20.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Calls

3 calls:

8.0ms	x
5.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
1.0b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 80 to 58 computations (27.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -61.6b remaining (-4332%)

Threshold costs -61.6b (-4332%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.4b	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	87

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))

Outputs
(log.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (+.f64 x x))

Compiler

Compiled 33 to 26 computations (21.2% saved)

soundness199.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1404×	`rational.json-simplify-54`
1076×	`rational.json-simplify-50`
722×	`exponential.json-simplify-29`
614×	`rational.json-simplify-1`
598×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	194	2725
1	365	2709
2	908	2709
3	2851	2709
4	7337	2709

Stop Event

1×	node limit

Compiler

Compiled 37 to 31 computations (16.2% saved)

end99.0ms (2.1%)

Compiler: Compiled 31 to 24 computations (22.6% saved)

Details

analyze0.0ms (0%)

sample921.0ms (20.1%)

preprocess6.0ms (0.1%)

simplify25.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize16.0ms (0.4%)

series4.0ms (0.1%)

rewrite113.0ms (2.5%)

simplify202.0ms (4.4%)

eval66.0ms (1.4%)

prune29.0ms (0.6%)

localize39.0ms (0.8%)

series4.0ms (0.1%)

rewrite156.0ms (3.4%)

simplify195.0ms (4.2%)

localize6.0ms (0.1%)

series59.0ms (1.3%)

rewrite86.0ms (1.9%)

simplify286.0ms (6.2%)

localize8.0ms (0.2%)

series63.0ms (1.4%)

rewrite85.0ms (1.8%)

simplify284.0ms (6.2%)

localize20.0ms (0.4%)

series2.0ms (0%)

rewrite107.0ms (2.3%)

simplify221.0ms (4.8%)

localize18.0ms (0.4%)

series0.0ms (0%)

rewrite93.0ms (2%)

simplify287.0ms (6.2%)

eval157.0ms (3.4%)

prune37.0ms (0.8%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite86.0ms (1.9%)

simplify174.0ms (3.8%)

localize11.0ms (0.2%)

series49.0ms (1.1%)

rewrite87.0ms (1.9%)

simplify183.0ms (4%)

eval33.0ms (0.7%)

prune13.0ms (0.3%)

regimes21.0ms (0.5%)

regimes20.0ms (0.4%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness199.0ms (4.3%)

end99.0ms (2.1%)

Profiling