Details

analyze126.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.1s (37.9%)

Results

3.0s	8256×	body	256	valid
34.0ms	25×	body	256	invalid

Bogosity

preprocess233.0ms (2.9%)

Algorithm

2×	egg-herbie

Rules

1646×	`rational_best-simplify-67`
1072×	`rational_best-simplify-65`
1018×	`rational_best-simplify-3`
852×	`rational_best-simplify-47`
816×	`rational_best-simplify-108`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	22	33
2	39	33
3	74	33
4	160	33
5	395	33
6	1277	33
7	3534	33
8	6629	33
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify304.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1646×	`rational_best-simplify-67`
1072×	`rational_best-simplify-65`
1018×	`rational_best-simplify-3`
852×	`rational_best-simplify-47`
816×	`rational_best-simplify-108`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	22	33
2	39	33
3	74	33
4	160	33
5	395	33
6	1277	33
7	3534	33
8	6629	33

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 25 to 17 computations (32% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 26 to 19 computations (26.9% saved)

localize65.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 29 computations (45.3% saved)

series24.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
1.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite491.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`rational_best-4`
1188×	`rational_best-2`
1188×	`rational_best-3`
1188×	`rational_best-1`
1188×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	102
1	83	102
2	195	102
3	631	102
4	2945	102

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (/.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (+.f64 x x)) (/.f64 (-.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (+.f64 x x)) (+.f64 (/.f64 (-.f64 -1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2)) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 x) (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 2 x)) (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 2 x)) (+.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 -1 x)) 0))))) (#(struct:change 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x)))) 1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 x) (+.f64 (/.f64 -1/2 x) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 x) (+.f64 (/.f64 (-.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 1/2) x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1/2 x)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 3/2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) (+.f64 (/.f64 (.f64 -1/2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 2) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 3) (.f64 x 4)) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 x 4)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 4 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4)) (+.f64 4 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4))) (.f64 2 (.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (+.f64 x x)) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) 2) (+.f64 x x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 4 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4)) x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (/.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) (/.f64 (neg.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4) (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 3) 4) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) -2) -2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (.f64 (.f64 x x) -2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1)))))

simplify648.0ms (8%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best-simplify-52`
1194×	`rational_best-simplify-48`
838×	`rational_best-simplify-108`
678×	`rational_best-simplify-3`
636×	`rational_best-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	560	10103
1	1564	8903
2	5789	8669

Stop Event

1×	node limit

Counts

283 → 397

Calls

Call 1

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

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

localize72.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series10.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite380.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1314×	`rational_best-4`
1314×	`rational_best-2`
1314×	`rational_best-3`
1314×	`rational_best-1`
1314×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	85
1	75	85
2	185	85
3	621	85
4	3160	85

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs
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Outputs

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

simplify369.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1436×	`rational_best-simplify-47`
966×	`rational_best-simplify-67`
918×	`rational_best-simplify-64`
826×	`rational_best-simplify-1`
670×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	5959
1	885	5909
2	2696	5695

Stop Event

1×	node limit

Counts

159 → 271

Calls

Call 1

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

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

eval921.0ms (11.4%)

Compiler: Compiled 14534 to 11000 computations (24.3% saved)

prune428.0ms (5.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	731	2	733
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	731	4	735

Error

Counts

735 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	0.9b	(log.f64 (/.f64 2 x))
▶	0.4b	(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 40 to 30 computations (25% saved)

localize20.0ms (0.3%)

Compiler: Compiled 25 to 18 computations (28% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series135.0ms (1.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
84.0ms	x	@	0	(log.f64 (/.f64 2 x))
26.0ms	x	@	inf	(log.f64 (/.f64 2 x))
26.0ms	x	@	-inf	(log.f64 (/.f64 2 x))

rewrite247.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational_best-simplify-56`
1084×	`rational_best-4`
1084×	`rational_best-2`
1084×	`rational_best-3`
1084×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	48	11
2	100	11
3	232	11
4	738	11
5	3175	11

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)) (/.f64 (log.f64 (/.f64 2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4) (/.f64 (log.f64 (/.f64 2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)) (neg.f64 (/.f64 (log.f64 (/.f64 2 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2) (/.f64 (/.f64 (log.f64 (/.f64 2 x)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (/.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (/.f64 2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (log.f64 (/.f64 2 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (/.f64 2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 2 (log.f64 (/.f64 2 x)))) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 2 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 4 (*.f64 2 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 2 (log.f64 (/.f64 2 x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (log.f64 (/.f64 2 x)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))))

simplify202.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational_best-simplify-51`
940×	`rational_best-simplify-57`
878×	`rational_best-simplify-83`
850×	`rational_best-simplify-63`
718×	`rational_best-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	615
1	156	607
2	491	607
3	2071	607

Stop Event

1×	node limit

Counts

45 → 38

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4))
(+.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)) (/.f64 (log.f64 (/.f64 2 x)) 4))
(+.f64 (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4))
(+.f64 (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4) (/.f64 (log.f64 (/.f64 2 x)) 4))
(-.f64 (log.f64 (/.f64 2 x)) 0)
(-.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) -2))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)) (neg.f64 (/.f64 (log.f64 (/.f64 2 x)) 4)))
(-.f64 (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2) (/.f64 (/.f64 (log.f64 (/.f64 2 x)) -2) 2))
(-.f64 (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 2 x))) 4))
(*.f64 2 (/.f64 (log.f64 (/.f64 2 x)) 2))
(.f64 2 (.f64 (log.f64 (/.f64 2 x)) 1/2))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(.f64 (.f64 2 (log.f64 (/.f64 2 x))) 1/2)
(.f64 1/2 (.f64 2 (log.f64 (/.f64 2 x))))
(.f64 (.f64 (log.f64 (/.f64 2 x)) 4) 1/4)
(*.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) 2)
(*.f64 -2 (/.f64 (log.f64 (/.f64 2 x)) -2))
(.f64 1/4 (.f64 (log.f64 (/.f64 2 x)) 4))
(.f64 (.f64 4 (*.f64 2 (log.f64 (/.f64 2 x)))) 1/8)
(.f64 (.f64 (log.f64 (/.f64 2 x)) 1/2) 2)
(.f64 1/8 (.f64 4 (*.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (log.f64 (/.f64 2 x)) 1)
(/.f64 (*.f64 2 (log.f64 (/.f64 2 x))) 2)
(/.f64 (*.f64 (log.f64 (/.f64 2 x)) 4) 4)
(/.f64 (.f64 4 (.f64 2 (log.f64 (/.f64 2 x)))) 8)
(/.f64 (.f64 4 (.f64 (log.f64 (/.f64 2 x)) 4)) 16)
(pow.f64 (log.f64 (/.f64 2 x)) 1)

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)))
(log.f64 (/.f64 2 x))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2))
(log.f64 (/.f64 2 x))
(+.f64 (/.f64 (log.f64 (/.f64 2 x)) 4) (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4))
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)) (/.f64 (log.f64 (/.f64 2 x)) 4))
(log.f64 (/.f64 2 x))
(+.f64 (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4))
(log.f64 (/.f64 2 x))
(+.f64 (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4) (/.f64 (log.f64 (/.f64 2 x)) 4))
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(-.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) -2))
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) (/.f64 (log.f64 (/.f64 2 x)) 4)) (neg.f64 (/.f64 (log.f64 (/.f64 2 x)) 4)))
(log.f64 (/.f64 2 x))
(-.f64 (/.f64 (*.f64 3 (/.f64 (log.f64 (/.f64 2 x)) 2)) 2) (/.f64 (/.f64 (log.f64 (/.f64 2 x)) -2) 2))
(log.f64 (/.f64 2 x))
(-.f64 (/.f64 (*.f64 (log.f64 (/.f64 2 x)) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 2 x))) 4))
(log.f64 (/.f64 2 x))
(*.f64 2 (/.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(.f64 2 (.f64 (log.f64 (/.f64 2 x)) 1/2))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(.f64 (.f64 2 (log.f64 (/.f64 2 x))) 1/2)
(log.f64 (/.f64 2 x))
(.f64 1/2 (.f64 2 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(.f64 (.f64 (log.f64 (/.f64 2 x)) 4) 1/4)
(log.f64 (/.f64 2 x))
(*.f64 (/.f64 (log.f64 (/.f64 2 x)) 2) 2)
(log.f64 (/.f64 2 x))
(*.f64 -2 (/.f64 (log.f64 (/.f64 2 x)) -2))
(log.f64 (/.f64 2 x))
(.f64 1/4 (.f64 (log.f64 (/.f64 2 x)) 4))
(log.f64 (/.f64 2 x))
(.f64 (.f64 4 (*.f64 2 (log.f64 (/.f64 2 x)))) 1/8)
(log.f64 (/.f64 2 x))
(.f64 (.f64 (log.f64 (/.f64 2 x)) 1/2) 2)
(log.f64 (/.f64 2 x))
(.f64 1/8 (.f64 4 (*.f64 2 (log.f64 (/.f64 2 x)))))
(log.f64 (/.f64 2 x))
(/.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(/.f64 (*.f64 2 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(/.f64 (*.f64 (log.f64 (/.f64 2 x)) 4) 4)
(log.f64 (/.f64 2 x))
(/.f64 (.f64 4 (.f64 2 (log.f64 (/.f64 2 x)))) 8)
(log.f64 (/.f64 2 x))
(/.f64 (.f64 4 (.f64 (log.f64 (/.f64 2 x)) 4)) 16)
(log.f64 (/.f64 2 x))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))

eval32.0ms (0.4%)

Compiler: Compiled 388 to 335 computations (13.7% saved)

prune26.0ms (0.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	38	4	42

Error

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	0.9b	(log.f64 (/.f64 2 x))
✓	0.4b	(log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))
✓	0b	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 40 to 30 computations (25% saved)

regimes66.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

38.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
20.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
6.0ms	x

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 66 to 46 computations (30.3% saved)

regimes31.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 26 to 19 computations (26.9% saved)

regimes34.0ms (0.4%)

Accuracy

Total -0.5b remaining (-123%)

Threshold costs -0.5b (-123%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	106

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 40 to 30 computations (25% saved)

soundness0.0ms (0%)

end116.0ms (1.4%)

Compiler: Compiled 37 to 26 computations (29.7% saved)

Details

analyze126.0ms (1.6%)

sample3.1s (37.9%)

preprocess233.0ms (2.9%)

simplify304.0ms (3.8%)

eval1.0ms (0%)

prune2.0ms (0%)

localize65.0ms (0.8%)

series24.0ms (0.3%)

rewrite491.0ms (6.1%)

simplify648.0ms (8%)

localize72.0ms (0.9%)

series10.0ms (0.1%)

rewrite380.0ms (4.7%)

simplify369.0ms (4.6%)

eval921.0ms (11.4%)

prune428.0ms (5.3%)

localize20.0ms (0.3%)

localize9.0ms (0.1%)

series135.0ms (1.7%)

rewrite247.0ms (3.1%)

simplify202.0ms (2.5%)

eval32.0ms (0.4%)

prune26.0ms (0.3%)

regimes66.0ms (0.8%)

regimes31.0ms (0.4%)

regimes34.0ms (0.4%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end116.0ms (1.4%)

Profiling