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)

sample723.0ms (17.8%)

Results

712.0ms

8256×

body

256

valid

Bogosity

preprocess2.0ms (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)

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1366×	`rational.json-simplify-51`
1312×	`rational.json-simplify-25`
1310×	`rational.json-simplify-11`
1188×	`rational.json-simplify-35`
1030×	`rational.json-simplify-34`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	17	27
2	29	27
3	56	27
4	171	27
5	813	27
6	2878	27
7	5537	27

Stop Event

1×	node limit

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

29.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	27.7b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 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))))
0.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite73.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2046×	`rational.json-1`
2044×	`rational.json-2`
2044×	`rational.json-3`
934×	`rational.json-simplify-5`
774×	`rational.json-simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	58	67
2	165	67
3	750	67
4	5721	67

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

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

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

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simplify131.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational.json-simplify-37`
1038×	`rational.json-simplify-35`
910×	`rational.json-simplify-16`
884×	`rational.json-simplify-7`
778×	`rational.json-simplify-33`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5021
1	1107	4661
2	4304	4645

Stop Event

1×	node limit

Counts

175 → 249

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))))
(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))))))
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(.f64 -1/2 (-.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 -1/2 (-.f64 0 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2)))
(.f64 -1/2 (-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 3)))
(/.f64 1 (/.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 -1 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(/.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) -1)
(/.f64 1/2 (/.f64 1 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2)))
(/.f64 1/2 (/.f64 -1 (-.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))

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

eval151.0ms (3.7%)

Compiler: Compiled 4558 to 3242 computations (28.9% saved)

prune35.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	246	3	249
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	246	4	250

Error

Counts

250 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.2b	(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 2) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 3))
▶	0.2b	(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
✓	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	0.5b	(log.f64 (+.f64 x x))

Compiler

Compiled 50 to 35 computations (30% saved)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 12 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`rational.json-simplify-55`
1084×	`rational.json-simplify-5`
812×	`rational.json-simplify-13`
682×	`rational.json-simplify-9`
670×	`rational.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	54	23
2	162	23
3	736	23
4	5943	23
5	7720	23

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

Outputs

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

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1536×	`rational.json-simplify-51`
1222×	`rational.json-simplify-41`
886×	`rational.json-simplify-39`
626×	`rational.json-simplify-11`
562×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	138	1636
1	355	1612
2	1179	1612
3	5723	1612

Stop Event

1×	node limit

Counts

56 → 81

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

localize36.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
✓	0.3b	(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 3)
✓	0.9b	(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 2) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 3))
✓	27.7b	(sqrt.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 96 to 59 computations (38.5% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite99.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1336×	`rational.json-simplify-5`
1184×	`rational.json-simplify-13`
836×	`rational.json-simplify-14`
794×	`rational.json-simplify-11`
652×	`rational.json-simplify-21`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	204
1	92	192
2	250	124
3	1151	104

Stop Event

1×	node limit

Counts

4 → 320

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (*.f64 x x) -1))
(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 2) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 3))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 3)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))

Outputs
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-1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 7 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (.f64 7 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))) (+.f64 (.f64 7 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (-.f64 0 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11)) (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11))) (+.f64 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11)) (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 8) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 6))))))) (#(struct:change #<rule egg-rr> (2) 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(sqrt.f64 (+.f64 (.f64 x x) -1)))) 11)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (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 2 (.f64 1/2 (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)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) 1/4)))) (#(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 4 (.f64 1/2 (.f64 1/2 (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)))) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) -4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 1/2 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.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 2 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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)))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (-.f64 0 (/.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 1/4 (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)))) -2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))))))

simplify176.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-55`
864×	`rational.json-simplify-3`
856×	`rational.json-simplify-51`
780×	`rational.json-simplify-11`
756×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	15948
1	1863	12206
2	7753	12206

Stop Event

1×	node limit

Counts

368 → 384

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))))
(-.f64 (.f64 4 (log.f64 (sqrt.f64 -1))) (.f64 3 (log.f64 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 4 (log.f64 (sqrt.f64 -1))) (/.f64 x (sqrt.f64 -1))) (.f64 3 (log.f64 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 4 (log.f64 (sqrt.f64 -1))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1)))) (*.f64 3 (log.f64 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 4 (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 x (sqrt.f64 -1))))) (.f64 3 (log.f64 (sqrt.f64 -1))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (.f64 4 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.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 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(*.f64 3 (log.f64 (sqrt.f64 -1)))
(+.f64 (.f64 3 (log.f64 (sqrt.f64 -1))) (.f64 3 (/.f64 x (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3 (log.f64 (sqrt.f64 -1))) (*.f64 3 (/.f64 x (sqrt.f64 -1)))))
(+.f64 (.f64 9/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3 (log.f64 (sqrt.f64 -1))) (.f64 3 (/.f64 x (sqrt.f64 -1))))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (.f64 9/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 5/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4))))))
(*.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 9/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 5/32 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (.f64 9/32 (/.f64 1 (pow.f64 x 4))))))
(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)))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 2))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 2) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 0) (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(+.f64 (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 2) 2) (-.f64 0 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 3)))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 1/2) (.f64 1/2 (sqrt.f64 (+.f64 (.f64 x x) -1))))
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(-.f64 (/.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 7) 2) -1) (/.f64 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 11)) -1))
(-.f64 (/.f64 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11)) -1) (/.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 8) -1))
(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 9) 1/2) (.f64 1/2 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 7)))
(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 6) -1) (.f64 -1 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 7)))
(-.f64 (.f64 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11)) -1) (.f64 -1 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 8)))
(-.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 7) 2) -1) (.f64 -1 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 11))))
(-.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 5/2) 1/2) (.f64 1/2 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 3)))
(-.f64 (.f64 (+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8)) 1/2) (.f64 1/2 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11))))
(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 3) 1/2) (.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(-.f64 (+.f64 (.f64 7 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (.f64 7 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))) (+.f64 (.f64 7 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (-.f64 0 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 8))))
(-.f64 (+.f64 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11)) (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11))) (+.f64 (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 11)) (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 8) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 6))))
(-.f64 (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 5/2) (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 5/2)) (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 5/2) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4)))
(-.f64 (+.f64 (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8) (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8)) (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8) (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8))) (+.f64 (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8) (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8)) (+.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 4) (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 8) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 11)))))
(.f64 -1 (neg.f64 (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 2 (.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2) 1/2)
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 4) 1/4)
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 4 (.f64 1/2 (.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) -2) -1/2)
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) -4) -1/4)
(.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) -1)
(.f64 -2 (.f64 1/2 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(.f64 1/2 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 2))
(.f64 -1/2 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) -2))
(/.f64 -1 (/.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(/.f64 -1 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(/.f64 -1 (-.f64 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 2 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) 1/2))
(/.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 2)
(/.f64 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)))) -2) -2)
(/.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))) -1)
(/.f64 1/2 (/.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(/.f64 -1/2 (-.f64 0 (/.f64 1/2 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(/.f64 1/4 (/.f64 1/4 (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)))) -2) 1/2) -1)
(/.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1/2) 1/2)
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))

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

eval362.0ms (8.9%)

Compiler: Compiled 22167 to 16199 computations (26.9% saved)

prune146.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	624	1	625
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	625	4	629

Error

Counts

629 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2) (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))
✓	0.2b	(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
✓	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.5b	(log.f64 (+.f64 x x))

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize35.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
✓	0.0b	(+.f64 x (+.f64 x (/.f64 -1/2 x)))
✓	0.3b	(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3)
✓	0.9b	(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2) (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))

Compiler

Compiled 83 to 58 computations (30.1% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite117.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`rational.json-simplify-5`
932×	`rational.json-simplify-13`
724×	`rational.json-simplify-14`
710×	`rational.json-simplify-11`
708×	`rational.json-simplify-9`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	186
1	90	174
2	251	114
3	1080	94

Stop Event

1×	node limit

Counts

4 → 354

Calls

Call 1

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

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

simplify138.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-51`
990×	`rational.json-simplify-13`
924×	`rational.json-simplify-41`
908×	`rational.json-simplify-11`
882×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	647	14768
1	2152	12184

Stop Event

1×	node limit

Counts

402 → 448

Calls

Call 1

Inputs
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(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))))) (.f64 3 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -8 (pow.f64 x 4)))) (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 -64/3 (pow.f64 x 6))))) (.f64 3 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
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(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))))
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(+.f64 (.f64 -12 (pow.f64 x 2)) (+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -24 (pow.f64 x 4))))
(+.f64 (.f64 -64 (pow.f64 x 6)) (+.f64 (.f64 -12 (pow.f64 x 2)) (+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (*.f64 -24 (pow.f64 x 4)))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
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(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/64 (/.f64 1 (pow.f64 x 6))))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/64 (/.f64 1 (pow.f64 x 6))))))
(/.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)))
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(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
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(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 7) (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) (neg.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))))
(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 7) (-.f64 (neg.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -2)))
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(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)))) (+.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 11)))))
(.f64 -1/2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -2))
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(.f64 2 (.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2)
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4)
(*.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -1 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(.f64 1/2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))
(.f64 4 (.f64 1/2 (*.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -2) -1/2)
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -4) -1/4)
(*.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) -1)
(.f64 -2 (.f64 1/2 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 -1/2 (-.f64 0 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(/.f64 2 (/.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 1/2))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2)
(/.f64 1 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 -1 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 -1 (/.f64 -1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 -1 (-.f64 0 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 1/2 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -2) -2)
(/.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) -1)
(/.f64 1/4 (/.f64 1/4 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1/2) 1/2)
(neg.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))

Outputs
(-.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))))
(-.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 3))
(.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 1)
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))))) (.f64 3 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))
(-.f64 (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -4 (pow.f64 x 2))) (.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) 3))
(+.f64 (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 1) (*.f64 -4 (pow.f64 x 2)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -8 (pow.f64 x 4)))) (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))))
(-.f64 (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4)))) (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 3))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 1)))
(-.f64 (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 -64/3 (pow.f64 x 6))))) (.f64 3 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (-.f64 (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 -64/3 (pow.f64 x 6)))) (.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) 3)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 -64/3 (pow.f64 x 6))) (.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) 1)))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))
(.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 1)
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 3 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 4 (log.f64 2)) (.f64 (log.f64 (/.f64 1 x)) -4)) (+.f64 (+.f64 (.f64 3 (log.f64 2)) (.f64 (log.f64 (/.f64 1 x)) -3)) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (.f64 4 (log.f64 2)) (-.f64 (.f64 (log.f64 (/.f64 1 x)) -4) (+.f64 (+.f64 (.f64 3 (log.f64 2)) (.f64 (log.f64 (/.f64 1 x)) -3)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/192 (pow.f64 x 6))))))
(-.f64 (+.f64 (.f64 4 (log.f64 2)) (.f64 (log.f64 (/.f64 1 x)) -4)) (+.f64 (+.f64 (.f64 3 (log.f64 2)) (.f64 (log.f64 (/.f64 1 x)) -3)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6))))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) 1)
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 3 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4)))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/192 (pow.f64 x 6))) (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))))))
(-.f64 (.f64 4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/192 (pow.f64 x 6))))))
(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))))
(.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 3)
(+.f64 (.f64 (log.f64 -1/2) 3) (.f64 (log.f64 x) -3))
(+.f64 (.f64 -12 (pow.f64 x 2)) (.f64 3 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 3) (*.f64 (pow.f64 x 2) -12))
(+.f64 (.f64 (log.f64 -1/2) 3) (+.f64 (.f64 (pow.f64 x 2) -12) (*.f64 (log.f64 x) -3)))
(+.f64 (.f64 -12 (pow.f64 x 2)) (+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -24 (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 3) (+.f64 (.f64 (pow.f64 x 2) -12) (.f64 (pow.f64 x 4) -24)))
(+.f64 (+.f64 (.f64 (log.f64 -1/2) 3) (.f64 (log.f64 x) -3)) (+.f64 (.f64 (pow.f64 x 2) -12) (.f64 (pow.f64 x 4) -24)))
(+.f64 (.f64 -64 (pow.f64 x 6)) (+.f64 (.f64 -12 (pow.f64 x 2)) (+.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (*.f64 -24 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 x 2) -12) (+.f64 (.f64 (pow.f64 x 6) -64) (+.f64 (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) 3) (*.f64 (pow.f64 x 4) -24))))
(+.f64 (.f64 (pow.f64 x 2) -12) (+.f64 (+.f64 (.f64 (log.f64 -1/2) 3) (.f64 (log.f64 x) -3)) (+.f64 (.f64 (pow.f64 x 6) -64) (*.f64 (pow.f64 x 4) -24))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 3 (log.f64 2)) (.f64 (log.f64 (/.f64 1 x)) -3))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (/.f64 3/4 (pow.f64 x 2)))
(+.f64 (.f64 3 (log.f64 2)) (-.f64 (.f64 (log.f64 (/.f64 1 x)) -3) (/.f64 3/4 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (.f64 3 (log.f64 2)) (-.f64 (.f64 (log.f64 (/.f64 1 x)) -3) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/64 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/64 (pow.f64 x 6)))))
(-.f64 (+.f64 (.f64 3 (log.f64 2)) (.f64 (log.f64 (/.f64 1 x)) -3)) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/64 (pow.f64 x 6)))))
(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (*.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (/.f64 3/4 (pow.f64 x 2)))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/64 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/64 (pow.f64 x 6)))))
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(+.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 -1 (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 (.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (*.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))))))
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(-.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 5/2) 1/2) (.f64 1/2 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3)))
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(-.f64 (.f64 (+.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) 1/2) (.f64 1/2 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 6) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 9))))
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(-.f64 (+.f64 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 6) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 9)) (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 6) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 9))) (+.f64 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 6) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 9)) (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 6))))
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(-.f64 (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 5/2) (.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 5/2)) (+.f64 (.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 5/2) (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4)))
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(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)))) (+.f64 (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8))) (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (+.f64 (.f64 2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 8)) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 11)))))
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(.f64 -1/2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -2))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(.f64 2 (.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 1/2)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) 1/4)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(*.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(*.f64 -1 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(.f64 1/2 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(.f64 4 (.f64 1/2 (*.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -2) -1/2)
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(.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -4) -1/4)
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(.f64 -2 (.f64 1/2 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
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(/.f64 -1/2 (-.f64 0 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 -1/2 (neg.f64 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
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(/.f64 2 (/.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 1/2))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2)
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(/.f64 1 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(/.f64 -1 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
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(/.f64 -1 (/.f64 -1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(/.f64 -1 (-.f64 0 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 -1 (neg.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 1/2 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -2) -2)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(/.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) -1)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(/.f64 1/4 (/.f64 1/4 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1/2) 1/2)
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
(neg.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))

eval446.0ms (11%)

Compiler: Compiled 24181 to 18387 computations (24% saved)

prune138.0ms (3.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	669	1	670
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	670	4	674

Error

Counts

674 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))
✓	0.2b	(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
✓	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.5b	(log.f64 (+.f64 x x))

Compiler

Compiled 46 to 32 computations (30.4% saved)

localize32.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))
	0.0b	(+.f64 x (+.f64 x (/.f64 -1/2 x)))
✓	0.3b	(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3)
✓	0.9b	(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))

Compiler

Compiled 69 to 47 computations (31.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))
0.0ms	x	@	inf	(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))
0.0ms	x	@	0	(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))
0.0ms	x	@	inf	(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3)
0.0ms	x	@	0	(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3)

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`rational.json-1`
1766×	`rational.json-2`
1766×	`rational.json-4`
1766×	`rational.json-3`
652×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	82	52
2	206	52
3	807	52
4	5666	52

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

Inputs
(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))
(*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3)

Outputs

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(/.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -1 (+.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3) (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (-.f64 0 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3/2 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -6 (/.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))))))

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1666×	`rational.json-simplify-23`
1486×	`rational.json-simplify-31`
766×	`rational.json-simplify-16`
640×	`rational.json-simplify-3`
596×	`rational.json-simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	287	4320
1	826	3840
2	3450	3840

Stop Event

1×	node limit

Counts

120 → 167

Calls

Call 1

Inputs
(+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))))
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(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
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(-.f64 (+.f64 (.f64 4 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 -3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(.f64 -3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))))
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(+.f64 (.f64 24 (pow.f64 x 4)) (+.f64 (.f64 12 (pow.f64 x 2)) (+.f64 (.f64 -3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (*.f64 64 (pow.f64 x 6)))))
(.f64 -3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
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(.f64 -3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))
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(-.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 0)
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(*.f64 -1/2 (-.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
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(/.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 1)
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(/.f64 3 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 3 (-.f64 0 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(/.f64 -3/2 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 -6 (/.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 1/2))
(neg.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))

Outputs
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(+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) -3))
(*.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) 1)
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(+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x))) -3)))
(+.f64 (.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) 1) (.f64 -4 (pow.f64 x 2)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 4 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x)))) (.f64 -8 (pow.f64 x 4)))))
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(+.f64 (.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) -3) (+.f64 (.f64 (pow.f64 x 4) 24) (+.f64 (.f64 (pow.f64 x 2) 12) (.f64 (pow.f64 x 6) 64))))
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(/.f64 -1 (/.f64 1 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3)))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 1/2 (/.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) -6))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) -3))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 1/2 (/.f64 1 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -6)))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 1/3)
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3) -1)
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 3 (/.f64 1 (neg.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 3 (-.f64 0 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 -3/2 (/.f64 1/2 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(/.f64 -6 (/.f64 (/.f64 1 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))))) 1/2))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))
(neg.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))
(*.f64 -3 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))))
(*.f64 -3 (log.f64 (+.f64 (/.f64 -1/2 x) (+.f64 x x))))

eval549.0ms (13.5%)

Compiler: Compiled 20661 to 15493 computations (25% saved)

prune113.0ms (2.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	611	0	611
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	611	4	615

Error

Counts

615 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))
✓	0.2b	(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
✓	29.8b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.5b	(log.f64 (+.f64 x x))

Compiler

Compiled 46 to 32 computations (30.4% saved)

regimes65.0ms (1.6%)

Accuracy

Total -30.4b remaining (-15638.9%)

Threshold costs -30.4b (-15638.9%)

Counts

6 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 4) (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) -3))
(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 2) 2) (*.f64 (log.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x)))) 3))
(-.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 2) 2) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 3))

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

Calls

3 calls:

54.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.2b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 112 to 76 computations (32.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness96.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational.json-simplify-37`
1038×	`rational.json-simplify-35`
910×	`rational.json-simplify-16`
884×	`rational.json-simplify-7`
778×	`rational.json-simplify-33`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	353	5021
1	1107	4661
2	4304	4645

Stop Event

1×	node limit

Compiler

Compiled 101 to 75 computations (25.7% saved)

end15.0ms (0.4%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

Details

analyze0.0ms (0%)

sample723.0ms (17.8%)

preprocess2.0ms (0.1%)

simplify47.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite73.0ms (1.8%)

simplify131.0ms (3.2%)

eval151.0ms (3.7%)

prune35.0ms (0.9%)

localize4.0ms (0.1%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite78.0ms (1.9%)

simplify77.0ms (1.9%)

localize36.0ms (0.9%)

series3.0ms (0.1%)

rewrite99.0ms (2.4%)

simplify176.0ms (4.3%)

eval362.0ms (8.9%)

prune146.0ms (3.6%)

localize35.0ms (0.9%)

series3.0ms (0.1%)

rewrite117.0ms (2.9%)

simplify138.0ms (3.4%)

eval446.0ms (11%)

prune138.0ms (3.4%)

localize32.0ms (0.8%)

series2.0ms (0%)

rewrite65.0ms (1.6%)

simplify74.0ms (1.8%)

eval549.0ms (13.5%)

prune113.0ms (2.8%)

regimes65.0ms (1.6%)

simplify2.0ms (0%)

soundness96.0ms (2.4%)

end15.0ms (0.4%)

Profiling