Details

analyze5.0ms (0.1%)

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)

sample982.0ms (21.7%)

Results

967.0ms	8256×	body	256	valid
2.0ms	23×	body	256	invalid

Bogosity

preprocess125.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

600×	`unsub-neg_binary64`
587×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
438×	`distribute-neg-in_binary64`
411×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	36	20
4	53	20
5	81	20
6	128	20
7	345	20
8	713	20
9	1518	20
10	2898	20
11	4338	20
12	5312	20
13	5623	20
14	5927	20
15	6028	20
16	6106	20
17	6374	20
18	7320	20
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)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify116.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

600×	`unsub-neg_binary64`
587×	`distribute-rgt-out--_binary64`
492×	`fma-neg_binary64`
438×	`distribute-neg-in_binary64`
411×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	25	20
3	36	20
4	53	20
5	81	20
6	128	20
7	345	20
8	713	20
9	1518	20
10	2898	20
11	4338	20
12	5312	20
13	5623	20
14	5927	20
15	6028	20
16	6106	20
17	6374	20
18	7320	20

Stop Event

1×	node limit

Counts

1 → 1

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)))

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize251.0ms (5.5%)

Local error

Found 4 expressions with local error:

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

series235.0ms (5.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
229.0ms	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	@	inf	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
1.0ms	x	@	0	(+.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)))

rewrite97.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
399×	`fma-def_binary64`
368×	`pow-prod-down_binary64`
282×	`pow2_binary64`
203×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	225	57
2	3292	55

Stop Event

1×	node limit

Counts

4 → 260

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (pow.f64 (E.f64) (.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (E.f64) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))) (pow.f64 (E.f64) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x (pow.f64 (-.f64 1 (.f64 x x)) -1/2) x) (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (neg.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)) (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) x (.f64 (neg.f64 x) 1)) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)) (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x) (.f64 x -1)) (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x) (.f64 (neg.f64 x) -1)) (pow.f64 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egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 1))))))

simplify138.0ms (3%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
295×	`log-prod_binary64`
278×	`div-sub_binary64`
246×	`fma-def_binary64`
236×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	646	4294974224
1	1665	6455
2	5489	6386

Stop Event

1×	node limit

Counts

308 → 466

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)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.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 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 (exp.f64 (log1p.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))) 1)
(-.f64 (/.f64 (pow.f64 x -2) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)) (/.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(.f64 1 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))
(.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1))
(.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x) (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
(.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (pow.f64 x -2))
(.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x)))))
(.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(.f64 (+.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 1 x))
(.f64 (pow.f64 (E.f64) (.f64 2 (.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))) (pow.f64 (E.f64) (.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(.f64 (pow.f64 (E.f64) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))) (pow.f64 (E.f64) (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))))
(/.f64 1 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))))
(/.f64 1 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 x x))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)) (fma.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2) (-.f64 (pow.f64 x -2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
(/.f64 (neg.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) (neg.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))) (neg.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(/.f64 (fma.f64 x (pow.f64 (-.f64 1 (.f64 x x)) -1/2) x) (.f64 x (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(/.f64 (fma.f64 -1 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (.f64 (neg.f64 x) 1)) (.f64 (neg.f64 x) (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))))))
(/.f64 (fma.f64 -1 x (.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 x (.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (neg.f64 x) 2))
(/.f64 (+.f64 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) 1)) (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) x))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) x (.f64 (neg.f64 x) 1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 -1 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) -1)) (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x) (.f64 x -1)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x) (.f64 (neg.f64 x) -1)) (pow.f64 (neg.f64 x) 2))
(/.f64 (-.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2)) (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x)))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1) (.f64 x x))
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x) x)
(/.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (pow.f64 (E.f64) (.f64 2 (log.f64 x))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))))) (pow.f64 (E.f64) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))))
(/.f64 (pow.f64 (E.f64) (log.f64 (fma.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))) (pow.f64 (E.f64) (log.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (*.f64 x x))))))
(pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(pow.f64 (E.f64) (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(pow.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2)) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2)) (.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1))
(pow.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) -1)
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2)))) -1)
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(-.f64 (log.f64 (fma.f64 -1 x (.f64 (neg.f64 x) (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x (.f64 x (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 (neg.f64 x) (.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (+.f64 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) 1))) (log.f64 (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) x)))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) x (.f64 (neg.f64 x) 1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 -1 x (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) -1))) (log.f64 (.f64 (/.f64 x (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (neg.f64 x) (.f64 x -1))) (log.f64 (*.f64 x (neg.f64 x))))
(-.f64 (log.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 x) (.f64 (neg.f64 x) -1))) (log.f64 (pow.f64 (neg.f64 x) 2)))
(-.f64 (log.f64 (-.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) (pow.f64 x -2))) (log.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) (/.f64 1 x))))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)) (.f64 2 (log.f64 x)))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x) x)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x) (.f64 (cbrt.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 x))))
(.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1)
(.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
(.f64 3 (.f64 1/3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(.f64 1/3 (.f64 3 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 3)
(pow.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 2)
(neg.f64 (log.f64 (/.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))
(neg.f64 (log.f64 (/.f64 (-.f64 (+.f64 (pow.f64 x -2) (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (.f64 x x))) (fma.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2) (pow.f64 x -3) (pow.f64 x -3)))))
(neg.f64 (log.f64 (/.f64 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) x) (-.f64 (pow.f64 x -2) (.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x -2))))))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))
(cbrt.f64 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(log1p.f64 (fma.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))
(exp.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(exp.f64 (.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 1))
(+.f64 0 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) 1)
(.f64 1 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x))
(.f64 (/.f64 1 x) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (/.f64 1 x))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x) 1)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))))
(.f64 (cbrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)))
(.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (/.f64 1 x)))
(.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)))
(.f64 (neg.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (/.f64 1 (neg.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) x))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) 1) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) x))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 (/.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/4) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4) (cbrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 (-.f64 1 (.f64 x x))) (sqrt.f64 x)) (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 1)
(pow.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) 2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)
(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(pow.f64 (.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1/3)
(pow.f64 (.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 2)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1))

Outputs
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 x)))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (/.f64 2 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)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 x -1/2 (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (/.f64 1 x))
(+.f64 (/.f64 1 x) (sqrt.f64 -1))
(+.f64 (pow.f64 x -1) (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 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (+.f64 (pow.f64 x -1) (sqrt.f64 -1)) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.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 (sqrt.f64 -1) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))
(+.f64 (sqrt.f64 -1) (+.f64 (pow.f64 x -1) (+.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (*.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1)))))))
(*.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 (pow.f64 x -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 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (-.f64 (pow.f64 x -1) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.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 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (pow.f64 x -1) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(-.f64 1 (*.f64 x 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 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x -1/4)) (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 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (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))))))
(fma.f64 -5/96 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)) (log.f64 x)) (fma.f64 -5/96 (pow.f64 x 6) (log.f64 2)))
(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 1 (*.f64 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 1 (.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (sqrt.f64 -1)) (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 -1/6 (.f64 (pow.f64 x 3) (neg.f64 (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 (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (log.f64 (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (-.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 1/6 (*.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 -1/6 (*.f64 (pow.f64 x 3) (neg.f64 (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 (neg.f64 (sqrt.f64 -1))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 -1 (*.f64 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 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (*.f64 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 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 1/6 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 -1 (.f64 x (sqrt.f64 -1)))) (/.f64 3/40 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
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(pow.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1) -1)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(pow.f64 (.f64 (pow.f64 x -3) (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1/3)
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2) (pow.f64 x -3)))
(pow.f64 (.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (-.f64 1 (.f64 x x)) 1/6)) 3)
(pow.f64 (.f64 (pow.f64 (-.f64 1 (.f64 x x)) 1/6) (/.f64 1 (cbrt.f64 x))) 3)
(pow.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) (cbrt.f64 x)) 3)
(/.f64 (pow.f64 (pow.f64 (-.f64 1 (*.f64 x x)) 1/6) 3) x)
(pow.f64 (.f64 (pow.f64 x -1/2) (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 2)
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(neg.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (neg.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(sqrt.f64 (.f64 (-.f64 1 (.f64 x x)) (pow.f64 x -2)))
(fabs.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x) 3))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
(exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 x x))) x)) 1))
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

eval206.0ms (4.5%)

Compiler: Compiled 10044 to 6643 computations (33.9% saved)

prune125.0ms (2.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	462	4	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	463	4	467

Error

Counts

467 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.9b	(+.f64 (log.f64 (.f64 (+.f64 (+.f64 -1 (.f64 x x)) 1) (pow.f64 x -2))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
▶	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
▶	1.0b	(log.f64 (/.f64 2 x))
▶	0.8b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 53 to 40 computations (24.5% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series4.0ms (0.1%)

Counts

2 → 15

Calls

6 calls:

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

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`pow1_binary64`
913×	`add-log-exp_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	211	18
2	2583	18

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/4 (.f64 x x)) (-.f64 (.f64 -1/2 x) (/.f64 2 x))) (/.f64 (.f64 4 (pow.f64 x -2)) (-.f64 (.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 (.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))) (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (.f64 4 (pow.f64 x -2)) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (.f64 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2))) (-.f64 (.f64 -1/2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2)))) (neg.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 4 (pow.f64 x -2)) (.f64 1/4 (.f64 x x))) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 x (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) (.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -1/2 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) (.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 (.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 x)) 2) (cbrt.f64 (.f64 -1/2 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2)))) (log.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/4 (*.f64 x x)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))) (/.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))) (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x)) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (*.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 -1/2 (*.f64 x (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2))) (-.f64 (*.f64 -1/2 x) (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2)))) (neg.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 x -2)) (*.f64 1/4 (*.f64 x x))) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 x (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -1/2 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 x)) 2) (cbrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/2 x)) (sqrt.f64 (*.f64 -1/2 x)) (/.f64 2 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 4 (pow.f64 x -2)))) (log.f64 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))))))

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-neg_binary64`
505×	`fma-def_binary64`
398×	`unswap-sqr_binary64`
235×	`distribute-rgt-in_binary64`
212×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	187	1249
1	463	1172
2	1570	1152
3	7436	1140

Stop Event

1×	node limit

Counts

76 → 131

Calls

Call 1

Inputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 -1/2 x)
(+.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 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 1)
(-.f64 (/.f64 (.f64 1/4 (.f64 x x)) (-.f64 (.f64 -1/2 x) (/.f64 2 x))) (/.f64 (.f64 4 (pow.f64 x -2)) (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(*.f64 1 (fma.f64 -1/2 x (/.f64 2 x)))
(*.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2)) (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x))))))
(.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2))) (/.f64 1 (-.f64 (*.f64 -1/2 x) (/.f64 2 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))) (+.f64 (pow.f64 (*.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x)) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3))) (+.f64 (.f64 4 (pow.f64 x -2)) (-.f64 (.f64 1/4 (.f64 x x)) (.f64 -1/2 (.f64 x (/.f64 2 x))))))
(/.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2))) (-.f64 (.f64 -1/2 x) (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2)))) (neg.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x))))
(/.f64 (-.f64 (.f64 4 (pow.f64 x -2)) (.f64 1/4 (.f64 x x))) (-.f64 (/.f64 2 x) (.f64 -1/2 x)))
(pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(pow.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(exp.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(fma.f64 -1/2 x (/.f64 2 x))
(fma.f64 x -1/2 (/.f64 2 x))
(fma.f64 2 (/.f64 1 x) (*.f64 -1/2 x))
(fma.f64 1 (*.f64 -1/2 x) (/.f64 2 x))
(fma.f64 1 (/.f64 2 x) (*.f64 -1/2 x))
(fma.f64 (/.f64 1 x) 2 (*.f64 -1/2 x))
(fma.f64 (cbrt.f64 (.f64 4 (pow.f64 x -2))) (cbrt.f64 (/.f64 2 x)) (.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 x)) 2) (cbrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(fma.f64 (sqrt.f64 (/.f64 2 x)) (sqrt.f64 (/.f64 2 x)) (*.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 -1/2 x)) (sqrt.f64 (.f64 -1/2 x)) (/.f64 2 x))
(+.f64 0 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x (/.f64 2 x)) 2))) (log.f64 (cbrt.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))) 1)
(-.f64 (log.f64 (-.f64 (.f64 1/4 (.f64 x x)) (.f64 4 (pow.f64 x -2)))) (log.f64 (-.f64 (.f64 -1/2 x) (/.f64 2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 -1/2 x) 3) (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (.f64 1/4 (.f64 x x)) (.f64 (/.f64 2 x) (-.f64 (/.f64 2 x) (*.f64 -1/2 x))))))
(*.f64 1 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
(*.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))

Outputs
(/.f64 2 x)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (-.f64 (log.f64 2) (log.f64 x)) (.f64 x (.f64 x -1/4)))
(-.f64 (fma.f64 x (*.f64 x -1/4) (log.f64 2)) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (log.f64 2) (-.f64 (fma.f64 x (.f64 x -1/4) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (-.f64 (log.f64 2) (log.f64 x))))
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(+.f64 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))) (fma.f64 -1/192 (pow.f64 x 6) (log.f64 2)))
(+.f64 (log.f64 2) (fma.f64 -1/192 (pow.f64 x 6) (-.f64 (fma.f64 x (.f64 x -1/4) (.f64 -1/32 (pow.f64 x 4))) (log.f64 x))))
(fma.f64 -1/192 (pow.f64 x 6) (fma.f64 x (*.f64 x -1/4) (fma.f64 -1/32 (pow.f64 x 4) (-.f64 (log.f64 2) (log.f64 x)))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 x) (log.f64 -1/2))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (/.f64 -4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 -1/2) (*.f64 (pow.f64 x -2) -4)))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
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(pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))) 2)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log1p.f64 (-.f64 (fma.f64 -1/2 x (/.f64 2 x)) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))

localize5.0ms (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)

series88.0ms (1.9%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
44.0ms	x	@	0	(log.f64 (/.f64 2 x))
37.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`pow1_binary64`
465×	`add-sqr-sqrt_binary64`
454×	`*-un-lft-identity_binary64`
443×	`add-log-exp_binary64`
443×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1210	6

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x 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 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))))

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
435×	`log-prod_binary64`
313×	`associate-l_binary64`
300×	`associate-r_binary64`
258×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	300
1	163	290
2	552	290
3	3408	290
4	7050	290

Stop Event

1×	node limit

Counts

37 → 36

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 2) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 x 2)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (/.f64 x 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 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 2) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) 3)
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (log.f64 2) (log.f64 x))
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (/.f64 2 x))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 0 (log.f64 (/.f64 x 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 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 2))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(log.f64 (/.f64 2 x))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (/.f64 x 2)))
(log.f64 (/.f64 2 x))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite270.0ms (5.9%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
437×	`log-prod_binary64`
278×	`fma-def_binary64`
268×	`pow-prod-down_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	197	43
2	2718	43

Stop Event

1×	node limit

Counts

3 → 178

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)) (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (/.f64 1 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 3/2)) (+.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) 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fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (neg.f64 (log.f64 x)))))))

simplify250.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
362×	`log-prod_binary64`
273×	`exp-prod_binary64`
271×	`cube-prod_binary64`
233×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	4840
1	1335	4681
2	5012	4583

Stop Event

1×	node limit

Counts

214 → 332

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)))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 x))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))
(+.f64 (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1)) (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2))) (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(+.f64 (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x))))
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (.f64 2 (log.f64 x)) (log.f64 (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (.f64 2 (log.f64 x)) (log.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (log.f64 (.f64 x (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (log.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (log.f64 (neg.f64 x)))
(-.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1)) (log.f64 (.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x)))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 x))) (log1p.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1)
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 -1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1) 1))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))

Outputs
2
(+.f64 2 (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/2 (.f64 x x)))
(fma.f64 -1/2 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/2 (.f64 x 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 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 6) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/2 (.f64 x x) 2) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -1/16 (pow.f64 x 6))))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(+.f64 1 (*.f64 (sqrt.f64 -1) x))
(+.f64 (*.f64 x (sqrt.f64 -1)) 1)
(fma.f64 x (sqrt.f64 -1) 1)
(+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (*.f64 (sqrt.f64 -1) x)))
(+.f64 (+.f64 1 (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1)))
(+.f64 1 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 x (sqrt.f64 -1) 1) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(-.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 (+.f64 (+.f64 1 (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (.f64 x (sqrt.f64 -1))) (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))))
(+.f64 1 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1))))))
(+.f64 1 (+.f64 (fma.f64 x (sqrt.f64 -1) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))) (/.f64 -1/8 (.f64 (sqrt.f64 -1) (pow.f64 (neg.f64 x) 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(*.f64 (neg.f64 (sqrt.f64 -1)) x)
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 -1)) x))
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
(+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 -1)) x) (/.f64 1/2 (.f64 x (sqrt.f64 -1)))))
(+.f64 1 (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(+.f64 1 (fma.f64 x (neg.f64 (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 x (sqrt.f64 -1)))))
(-.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 (+.f64 (+.f64 1 (/.f64 1/8 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (.f64 (neg.f64 (sqrt.f64 -1)) x)) (/.f64 1/2 (*.f64 x (sqrt.f64 -1))))
(+.f64 1 (+.f64 (/.f64 1/8 (.f64 (pow.f64 x 3) (neg.f64 (sqrt.f64 -1)))) (fma.f64 (neg.f64 (sqrt.f64 -1)) x (/.f64 -1/2 (.f64 x (sqrt.f64 -1))))))
(+.f64 (-.f64 (/.f64 1/8 (.f64 (sqrt.f64 -1) (pow.f64 (neg.f64 x) 3))) (.f64 x (sqrt.f64 -1))) (-.f64 1 (/.f64 1/2 (*.f64 x (sqrt.f64 -1)))))
(/.f64 2 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -1/2 x (/.f64 2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 2 (/.f64 1 x))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (/.f64 2 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)))))
(fma.f64 -1/8 (pow.f64 x 3) (+.f64 (fma.f64 -1/2 x (/.f64 2 x)) (*.f64 -1/16 (pow.f64 x 5))))
(fma.f64 -1/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/16 (pow.f64 x 5) (/.f64 2 x))))
(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 1 x)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(+.f64 (/.f64 1 x) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x))))
(-.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 (sqrt.f64 -1) (/.f64 1 x)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))) (/.f64 1/8 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 4)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 x)) (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 1/8 (neg.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 1 x) (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 1 x) (-.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1)))))
(-.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (*.f64 x x)))
(-.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 1 x) (-.f64 (fma.f64 -1 (sqrt.f64 -1) (/.f64 1/8 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1/2 (.f64 (sqrt.f64 -1) (*.f64 x x)))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (-.f64 (/.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (pow.f64 x 4)) (/.f64 1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(+.f64 (-.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 1/8 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 4)) (/.f64 -1/2 (.f64 x (.f64 x (sqrt.f64 -1))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (-.f64 (.f64 x (.f64 x -1/4)) (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)))))
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(+.f64 (.f64 -2 (log.f64 (cbrt.f64 x))) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 x))))
(fma.f64 -2 (log.f64 (cbrt.f64 x)) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (pow.f64 x -1/2)) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (log.f64 x)) (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 x))))
(fma.f64 -1/2 (log.f64 x) (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(+.f64 (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) 1)) (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x)))
(+.f64 (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) x)) (log.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2))) (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (hypot.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 1/4)) (cbrt.f64 x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (.f64 2 (log.f64 x)) (log.f64 (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (.f64 2 (log.f64 x)) (log.f64 (.f64 (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(-.f64 (.f64 2 (log.f64 x)) (log.f64 (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (log.f64 (.f64 x (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (log.f64 (.f64 x (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (-.f64 -1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 (neg.f64 x)))
(-.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 x (hypot.f64 1 (pow.f64 (-.f64 1 (*.f64 x x)) 1/4)))))
(-.f64 (.f64 2 (.f64 1/3 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(-.f64 (.f64 2/3 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2/3) (log.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 -1) (-.f64 (log.f64 (neg.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) -1))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) 1)) (log.f64 (.f64 (+.f64 1 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (.f64 x x)))))) x)))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (log.f64 (.f64 x (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 1)) (log.f64 x))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (log.f64 (cbrt.f64 x))))
(-.f64 (log.f64 (.f64 (+.f64 1 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (/.f64 1 x))) (log1p.f64 (-.f64 1 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 1 (.f64 x x)) 3/2)) (log.f64 (.f64 x (-.f64 2 (fma.f64 x x (sqrt.f64 (-.f64 1 (*.f64 x x))))))))
(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (.f64 2 (log.f64 x)) (log.f64 (.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))
(-.f64 (log.f64 x) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(.f64 1 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) 2)) (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 3 (.f64 1/3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 -1 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(.f64 1/3 (.f64 3 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (+.f64 (pow.f64 (log.f64 x) 2) (.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 1)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2) 1/2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3) 1/3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 3)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 2)
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x)))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)))) 1/3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 3))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)))) 2))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))) 1) 1))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (log.f64 x)))
(-.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))

localize37.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.0b	(log.f64 (.f64 (+.f64 (+.f64 -1 (.f64 x x)) 1) (pow.f64 x -2)))
✓	2.1b	(+.f64 (+.f64 -1 (*.f64 x x)) 1)
✓	2.2b	(-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x))))
✓	29.3b	(.f64 (+.f64 (+.f64 -1 (.f64 x x)) 1) (pow.f64 x -2))

Compiler

Compiled 110 to 67 computations (39.1% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite74.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`prod-diff_binary64`
622×	`log-prod_binary64`
414×	`fma-def_binary64`
245×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	312	47
2	4149	38

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (.f64 (fma.f64 x x -1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -2) (.f64 (pow.f64 x -2) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 (pow.f64 x -2)) (.f64 (fma.f64 x x 1) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 x x -1) (pow.f64 x -2)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x -2) -1) (.f64 (pow.f64 x -2) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x -2) (fma.f64 x x -1)) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2)))))))) (#(struct:change #<rule egg-rr> 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (-.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -2 (log.f64 x)) (.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (.f64 x (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (log.f64 x)) (.f64 -2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 x (/.f64 1 x))) (log.f64 (.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))) (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (log.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 x -4))) (log.f64 (.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 x)) (log.f64 (.f64 (/.f64 1 x) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) (pow.f64 x 4)))) (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (.f64 -2 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x -4)))) (log.f64 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (pow.f64 x -2) x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)) (pow.f64 x -2))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x x -2)) (pow.f64 x -2))) (log.f64 (fma.f64 x x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (.f64 (pow.f64 x -2) (.f64 (.f64 x x) (fma.f64 x x -2)))) (log.f64 (fma.f64 x x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) (cbrt.f64 (pow.f64 (.f64 2 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x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 -2 (log.f64 x))) (sqrt.f64 (.f64 -2 (log.f64 x))) (.f64 2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 2 (log.f64 x))) (sqrt.f64 (.f64 2 (log.f64 x))) (*.f64 -2 (log.f64 x)))))))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

574×	`distribute-rgt-in_binary64`
501×	`distribute-lft-in_binary64`
436×	`unswap-sqr_binary64`
348×	`cancel-sign-sub-inv_binary64`
267×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	474	2361
1	1226	2187
2	3236	2089

Stop Event

1×	node limit

Counts

249 → 293

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 5/128 (pow.f64 x 8)))))
(.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 (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)))))
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
0
0
0
0
0
0
0
0
0
0
0
0
(+.f64 (pow.f64 x -2) (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(+.f64 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(+.f64 0 (pow.f64 (*.f64 x (/.f64 1 x)) 2))
(+.f64 (.f64 -1 (pow.f64 x -2)) (.f64 (fma.f64 x x 1) (pow.f64 x -2)))
(+.f64 (*.f64 (fma.f64 x x -1) (pow.f64 x -2)) (pow.f64 x -2))
(+.f64 (.f64 (pow.f64 x -2) -1) (.f64 (pow.f64 x -2) (fma.f64 x x 1)))
(+.f64 (*.f64 (pow.f64 x -2) (fma.f64 x x -1)) (pow.f64 x -2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)) (pow.f64 x -2)) (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1))))
(/.f64 (.f64 (.f64 (*.f64 x x) (fma.f64 x x -2)) (pow.f64 x -2)) (fma.f64 x x -2))
(/.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 x x -1) 3))) (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1))))
(/.f64 (.f64 (pow.f64 x -2) (.f64 (*.f64 x x) (fma.f64 x x -2))) (fma.f64 x x -2))
(pow.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) 1)
(pow.f64 (E.f64) (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2)) 3)
(pow.f64 (*.f64 x (/.f64 1 x)) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 2))) (cbrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))) (sqrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
(sqrt.f64 (*.f64 (pow.f64 x -4) (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2) 3))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (/.f64 1 x)) 2)))
(exp.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))
(fma.f64 -1 (pow.f64 x -2) (*.f64 (fma.f64 x x 1) (pow.f64 x -2)))
(fma.f64 (fma.f64 x x -1) (pow.f64 x -2) (pow.f64 x -2))
(fma.f64 1 (pow.f64 x -2) (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(fma.f64 1 (pow.f64 x -2) (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (pow.f64 x -2) -1 (*.f64 (pow.f64 x -2) (fma.f64 x x 1)))
(fma.f64 (pow.f64 x -2) (fma.f64 x x -1) (pow.f64 x -2))
(fma.f64 (pow.f64 x -2) 1 (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(fma.f64 (pow.f64 x -2) 1 (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)) (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 x -4)) (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (pow.f64 x -4)) (cbrt.f64 (pow.f64 x -2)) (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2) (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -2) (pow.f64 (cbrt.f64 x) -2) (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(fma.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2) (*.f64 (fma.f64 x x -1) (pow.f64 x -2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -2) (pow.f64 (sqrt.f64 x) -2) (*.f64 (pow.f64 x -2) (fma.f64 x x -1)))
(+.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1))
(+.f64 0 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))))
(.f64 (.f64 x x) (/.f64 1 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 1 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(*.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (fma.f64 x (neg.f64 x) 1) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (*.f64 x x) (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (fma.f64 x (neg.f64 x) 1) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (-.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))))
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (*.f64 x x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2)) (+.f64 1 (+.f64 (fma.f64 x (neg.f64 x) 1) (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (+.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (fma.f64 x (neg.f64 x) 1) (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (-.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(pow.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 3)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1))
(fma.f64 -1 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)) 1)
(fma.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1)) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1)
(fma.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) (neg.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) 1)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1)))) 1)
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x (neg.f64 x) 1))) (cbrt.f64 (sqrt.f64 (fma.f64 x (neg.f64 x) 1))) 1)
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4)) (pow.f64 (fma.f64 x (neg.f64 x) 1) 1/4) 1)
(-.f64 1 (fma.f64 x (neg.f64 x) 1))
(-.f64 0 (*.f64 x (neg.f64 x)))
(-.f64 (fma.f64 x x 1) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -2)) (/.f64 1 (fma.f64 x x -2)))
(*.f64 x x)
(.f64 (.f64 x x) 1)
(.f64 1 (.f64 x x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))
(.f64 (.f64 (*.f64 x x) (fma.f64 x x -2)) (/.f64 1 (fma.f64 x x -2)))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1))) (+.f64 1 (pow.f64 (fma.f64 x x -1) 3))))
(/.f64 1 (/.f64 (fma.f64 x x -2) (.f64 (.f64 x x) (fma.f64 x x -2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)) (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x x -2)) (fma.f64 x x -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 x x -2))) (neg.f64 (fma.f64 x x -2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 3)) (+.f64 1 (+.f64 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2) (fma.f64 x (neg.f64 x) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3)) (+.f64 1 (-.f64 (.f64 (fma.f64 x x 1) (fma.f64 x x 1)) (.f64 -1 (fma.f64 x x 1)))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x x -1) 2)) (-.f64 1 (fma.f64 x x -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x (neg.f64 x) 1) 2)) (+.f64 1 (fma.f64 x (neg.f64 x) 1)))
(/.f64 (-.f64 1 (*.f64 (fma.f64 x x 1) (fma.f64 x x 1))) (-.f64 -1 (fma.f64 x x 1)))
(pow.f64 x 2)
(pow.f64 (*.f64 x x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 3)
(pow.f64 (pow.f64 x 6) 1/3)
(sqrt.f64 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x x))))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 x x)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 x) 2))
(fma.f64 x x 0)
(fma.f64 (*.f64 x x) 1 0)
(fma.f64 (fma.f64 x x -1) 1 1)
(fma.f64 1 (*.f64 x x) 0)
(fma.f64 1 (fma.f64 x x -1) 1)
(fma.f64 1 (fma.f64 x x 1) -1)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (fma.f64 x x -1)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) (*.f64 (cbrt.f64 (fma.f64 x x -1)) 1) 1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) 0)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 0)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) (*.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) 0)
(fma.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (fma.f64 x x (pow.f64 x 4)))) 1)
(fma.f64 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (-.f64 -1 (*.f64 x x))) 1)
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) 0)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (fma.f64 x x 1))) (cbrt.f64 (fma.f64 x x 1)) -1)
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) -1)
(fma.f64 (+.f64 x 1) (-.f64 x 1) 1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) 0)
(+.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 0)
(+.f64 (.f64 -2 (log.f64 x)) (.f64 2 (log.f64 x)))
(+.f64 0 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))
(+.f64 (log.f64 x) (log.f64 (*.f64 x (pow.f64 x -2))))
(+.f64 (.f64 2 (log.f64 x)) (.f64 -2 (log.f64 x)))
(+.f64 (log.f64 (.f64 x (/.f64 1 x))) (log.f64 (.f64 x (/.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))) (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) (pow.f64 x 4)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x -2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -4))) (log.f64 (.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 x x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (.f64 (/.f64 1 x) (.f64 x x))))
(+.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) (pow.f64 x 4)))) (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))))
(+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (.f64 -2 (log.f64 x)) 1))
(+.f64 (log.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x -4)))) (log.f64 (cbrt.f64 (pow.f64 x -2))))
(+.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (log.f64 (*.f64 (pow.f64 x -2) x)) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))) 1)
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)) (pow.f64 x -2))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))
(-.f64 (log.f64 (.f64 (.f64 (*.f64 x x) (fma.f64 x x -2)) (pow.f64 x -2))) (log.f64 (fma.f64 x x -2)))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))
(-.f64 (log.f64 (.f64 (pow.f64 x -2) (.f64 (*.f64 x x) (fma.f64 x x -2)))) (log.f64 (fma.f64 x x -2)))
(.f64 1 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x)))))
(.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x)))) 1)
(.f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) (cbrt.f64 (pow.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x))))))
(.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) (sqrt.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x))))))
(.f64 2 (log.f64 (.f64 x (/.f64 1 x))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))))
(.f64 1/3 (.f64 3 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (log.f64 x)) 3) (pow.f64 (.f64 -2 (log.f64 x)) 3)) (fma.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)) (-.f64 (.f64 (.f64 -2 (log.f64 x)) (.f64 -2 (log.f64 x))) (.f64 (.f64 2 (log.f64 x)) (.f64 -2 (log.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x))) (.f64 (.f64 -2 (log.f64 x)) (.f64 -2 (log.f64 x)))) (log.f64 (/.f64 (*.f64 x x) (pow.f64 x -2))))
(pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 1)
(pow.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) 3)
(pow.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
(log1p.f64 (fma.f64 x (*.f64 x (pow.f64 x -2)) -1))
(exp.f64 (log.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x))))) 1))
(fma.f64 1 (.f64 -2 (log.f64 x)) (.f64 2 (log.f64 x)))
(fma.f64 1 (.f64 2 (log.f64 x)) (.f64 -2 (log.f64 x)))
(fma.f64 -2 (log.f64 x) (*.f64 2 (log.f64 x)))
(fma.f64 (log.f64 x) -2 (*.f64 2 (log.f64 x)))
(fma.f64 (.f64 2 (log.f64 x)) 1 (.f64 (*.f64 -2 (log.f64 x)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 -2 (log.f64 x))) (cbrt.f64 (.f64 -2 (log.f64 x)))) (cbrt.f64 (.f64 -2 (log.f64 x))) (*.f64 2 (log.f64 x)))
(fma.f64 (.f64 (cbrt.f64 (.f64 2 (log.f64 x))) (cbrt.f64 (.f64 2 (log.f64 x)))) (cbrt.f64 (.f64 2 (log.f64 x))) (*.f64 -2 (log.f64 x)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 x))) (sqrt.f64 (.f64 -2 (log.f64 x))) (*.f64 2 (log.f64 x)))
(fma.f64 (sqrt.f64 (.f64 2 (log.f64 x))) (sqrt.f64 (.f64 2 (log.f64 x))) (*.f64 -2 (log.f64 x)))

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/8 (pow.f64 x 4) (.f64 1/2 (.f64 x x)))
(fma.f64 1/2 (.f64 x x) (.f64 1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (.f64 1/2 (.f64 x x))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/2 (.f64 x x) (.f64 1/16 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 5/128 (pow.f64 x 8)))))
(fma.f64 1/8 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 5/128 (pow.f64 x 8)))))
(.f64 -1 (.f64 (sqrt.f64 -1) x))
(neg.f64 (*.f64 x (sqrt.f64 -1)))
(*.f64 x (neg.f64 (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 x))
(+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x)))
(+.f64 1 (neg.f64 (*.f64 x (sqrt.f64 -1))))
(fma.f64 (neg.f64 (sqrt.f64 -1)) x 1)
(-.f64 1 (*.f64 x (sqrt.f64 -1)))
(-.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 -1) x))) (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))))
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(+.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 0)
0
(+.f64 (.f64 -2 (log.f64 x)) (.f64 2 (log.f64 x)))
0
(+.f64 0 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))
0
(+.f64 (log.f64 x) (log.f64 (*.f64 x (pow.f64 x -2))))
0
(+.f64 (.f64 2 (log.f64 x)) (.f64 -2 (log.f64 x)))
0
(+.f64 (log.f64 (.f64 x (/.f64 1 x))) (log.f64 (.f64 x (/.f64 1 x))))
0
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))) (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) (pow.f64 x 4)))))
0
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 x -2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (log.f64 (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 2 (log.f64 (cbrt.f64 x)) (log.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -4))) (log.f64 (.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 x x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -4))) (log.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x -2)))))
(+.f64 (log.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x -4)))) (log.f64 (cbrt.f64 (pow.f64 x -2))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (.f64 (/.f64 1 x) (.f64 x x))))
0
(+.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) (pow.f64 x 4)))) (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))))
0
(+.f64 (.f64 (.f64 2 (log.f64 x)) 1) (.f64 (.f64 -2 (log.f64 x)) 1))
0
(+.f64 (log.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x -4)))) (log.f64 (cbrt.f64 (pow.f64 x -2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x -4))) (log.f64 (.f64 (.f64 x x) (cbrt.f64 (pow.f64 x -2)))))
(+.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (neg.f64 (log.f64 x)))
0
(+.f64 (log.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x 4)))) (log.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x 4))) (log.f64 (*.f64 (pow.f64 x -2) (pow.f64 (cbrt.f64 x) 2))))
(fma.f64 2 (log.f64 (cbrt.f64 x)) (log.f64 (*.f64 (pow.f64 x -2) (cbrt.f64 (pow.f64 x 4)))))
(+.f64 (log.f64 (*.f64 (pow.f64 x -2) x)) (log.f64 x))
0
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))))) 1)
0
(-.f64 (log.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)) (pow.f64 x -2))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)))) (log.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) 1) (fma.f64 x x -1))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 x)) (log1p.f64 (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (neg.f64 (fma.f64 x x -2)))))
(+.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3)) (-.f64 (.f64 -2 (log.f64 x)) (log1p.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x -2)))))
(-.f64 (log.f64 (.f64 (.f64 (*.f64 x x) (fma.f64 x x -2)) (pow.f64 x -2))) (log.f64 (fma.f64 x x -2)))
0
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (-.f64 1 (fma.f64 x x -1)))))
(-.f64 (log.f64 (*.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 (fma.f64 x x -1) 3)))) (log.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) 1) (fma.f64 x x -1))))
(-.f64 (+.f64 (*.f64 -2 (log.f64 x)) (log1p.f64 (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 2) (neg.f64 (fma.f64 x x -2)))))
(+.f64 (log1p.f64 (pow.f64 (fma.f64 x x -1) 3)) (-.f64 (.f64 -2 (log.f64 x)) (log1p.f64 (.f64 (fma.f64 x x -1) (fma.f64 x x -2)))))
(-.f64 (log.f64 (.f64 (pow.f64 x -2) (.f64 (*.f64 x x) (fma.f64 x x -2)))) (log.f64 (fma.f64 x x -2)))
0
(.f64 1 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x)))))
0
(.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x)))) 1)
0
(.f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) (cbrt.f64 (pow.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x)))) 2)))
0
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x))))))
0
(.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) (sqrt.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x))))))
0
(.f64 2 (log.f64 (.f64 x (/.f64 1 x))))
0
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 1 x)) 2))))
0
(.f64 1/3 (.f64 3 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
0
(/.f64 (+.f64 (pow.f64 (.f64 2 (log.f64 x)) 3) (pow.f64 (.f64 -2 (log.f64 x)) 3)) (fma.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x)) (-.f64 (.f64 (.f64 -2 (log.f64 x)) (.f64 -2 (log.f64 x))) (.f64 (.f64 2 (log.f64 x)) (.f64 -2 (log.f64 x))))))
(/.f64 (+.f64 (.f64 8 (pow.f64 (log.f64 x) 3)) (.f64 -8 (pow.f64 (log.f64 x) 3))) (+.f64 (.f64 4 (.f64 (log.f64 x) (log.f64 x))) (.f64 (.f64 -2 (log.f64 x)) (-.f64 (.f64 -2 (log.f64 x)) (.f64 2 (log.f64 x))))))
(/.f64 (.f64 (pow.f64 (log.f64 x) 3) 0) (.f64 (.f64 -2 (log.f64 x)) (+.f64 (.f64 -2 (log.f64 x)) (*.f64 (log.f64 x) -4))))
(/.f64 0 (.f64 (.f64 -2 (log.f64 x)) (*.f64 (log.f64 x) -6)))
(/.f64 (-.f64 (.f64 (.f64 2 (log.f64 x)) (.f64 2 (log.f64 x))) (.f64 (.f64 -2 (log.f64 x)) (.f64 -2 (log.f64 x)))) (log.f64 (/.f64 (*.f64 x x) (pow.f64 x -2))))
0
(pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 1)
0
(pow.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 3) 1/3)
0
(pow.f64 (cbrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) 3)
0
(pow.f64 (sqrt.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))) 2)
0
(sqrt.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 2))
(sqrt.f64 0)
(cbrt.f64 (pow.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x)))) 3))
0
(expm1.f64 (log1p.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
0
(log1p.f64 (fma.f64 x (*.f64 x (pow.f64 x -2)) -1))
(log1p.f64 (fma.f64 x (pow.f64 x -1) -1))
(log1p.f64 0)
(exp.f64 (log.f64 (.f64 2 (log.f64 (.f64 x (/.f64 1 x))))))
0
(exp.f64 (.f64 (log.f64 (.f64 2 (log.f64 (*.f64 x (/.f64 1 x))))) 1))
0
(fma.f64 1 (.f64 -2 (log.f64 x)) (.f64 2 (log.f64 x)))
0
(fma.f64 1 (.f64 2 (log.f64 x)) (.f64 -2 (log.f64 x)))
0
(fma.f64 -2 (log.f64 x) (*.f64 2 (log.f64 x)))
0
(fma.f64 (log.f64 x) -2 (*.f64 2 (log.f64 x)))
0
(fma.f64 (.f64 2 (log.f64 x)) 1 (.f64 (*.f64 -2 (log.f64 x)) 1))
0
(fma.f64 (.f64 (cbrt.f64 (.f64 -2 (log.f64 x))) (cbrt.f64 (.f64 -2 (log.f64 x)))) (cbrt.f64 (.f64 -2 (log.f64 x))) (*.f64 2 (log.f64 x)))
0
(fma.f64 (.f64 (cbrt.f64 (.f64 2 (log.f64 x))) (cbrt.f64 (.f64 2 (log.f64 x)))) (cbrt.f64 (.f64 2 (log.f64 x))) (*.f64 -2 (log.f64 x)))
0
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 x))) (sqrt.f64 (.f64 -2 (log.f64 x))) (*.f64 2 (log.f64 x)))
0
(fma.f64 (sqrt.f64 (.f64 2 (log.f64 x))) (sqrt.f64 (.f64 2 (log.f64 x))) (*.f64 -2 (log.f64 x)))
0

eval343.0ms (7.6%)

Compiler: Compiled 18336 to 12875 computations (29.8% saved)

prune158.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	860	2	862
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	861	5	866

Error

Counts

866 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
▶	62.1b	(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	1.0b	(log.f64 (/.f64 2 x))
✓	0.8b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 55 to 42 computations (23.6% saved)

localize29.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 1 (*.f64 x x))
✓	0.0b	(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
✓	2.0b	(log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
✓	26.7b	(.f64 (.f64 x x) (/.f64 1 x))

Compiler

Compiled 67 to 36 computations (46.3% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
1.0ms	x	@	-inf	(log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
1.0ms	x	@	0	(log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
1.0ms	x	@	0	(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
0.0ms	x	@	-inf	(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`prod-diff_binary64`
510×	`log-prod_binary64`
332×	`fma-def_binary64`
271×	`pow2_binary64`
187×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	264	28
2	3585	28

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs
(.f64 (.f64 x x) (/.f64 1 x))
(log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))

Outputs

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(log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x 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(log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (log.f64 x) (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 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#<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (*.f64 x x))) (sqrt.f64 (log.f64 (*.f64 x x))) (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) 2)) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))) (log.f64 x))))))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-neg_binary64`
577×	`cancel-sign-sub-inv_binary64`
306×	`div-sub_binary64`
248×	`log-prod_binary64`
196×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	3713
1	972	3493
2	3883	3397

Stop Event

1×	node limit

Counts

194 → 268

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x))))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 5/96 (pow.f64 x 6)) (.f64 2 (log.f64 x))))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (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 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (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 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (sqrt.f64 -1))))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (sqrt.f64 -1)))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.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 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(-.f64 (log.f64 x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (log.f64 x)) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (log.f64 x))) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
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(fma.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 x))
(fma.f64 -1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (log.f64 x))
(fma.f64 2 (log.f64 x) (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 3)) (/.f64 1 (fma.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x)) (pow.f64 (log.f64 x) 2))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (/.f64 1 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (/.f64 1 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) 2)) (/.f64 1 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))) (log.f64 x))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) 2) (cbrt.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x x))) 2) (cbrt.f64 (log.f64 (.f64 x x))) (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (sqrt.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (.f64 x x))) (sqrt.f64 (log.f64 (.f64 x x))) (-.f64 (neg.f64 (log.f64 x)) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 1 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 x))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x))))
(fma.f64 1/4 (.f64 x x) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x))))
(fma.f64 1/4 (*.f64 x x) (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x)))))
(fma.f64 3/32 (pow.f64 x 4) (fma.f64 1/4 (.f64 x x) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x)))))
(fma.f64 3/32 (pow.f64 x 4) (fma.f64 1/4 (*.f64 x x) (fma.f64 2 (log.f64 x) (log.f64 1/2))))
(+.f64 (.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 5/96 (pow.f64 x 6)) (.f64 2 (log.f64 x))))))
(fma.f64 3/32 (pow.f64 x 4) (fma.f64 1/4 (.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 5/96 (pow.f64 x 6) (.f64 2 (log.f64 x))))))
(fma.f64 3/32 (pow.f64 x 4) (+.f64 (fma.f64 1/4 (.f64 x x) (fma.f64 2 (log.f64 x) (log.f64 1/2))) (.f64 5/96 (pow.f64 x 6))))
(fma.f64 3/32 (pow.f64 x 4) (+.f64 (fma.f64 5/96 (pow.f64 x 6) (log.f64 (.f64 x x))) (fma.f64 1/4 (.f64 x x) (log.f64 1/2))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (*.f64 -1 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 x) (log.f64 (neg.f64 (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1 (.f64 (sqrt.f64 -1) x)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (+.f64 (log.f64 x) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 x) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (/.f64 1 (.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 x) (+.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (-.f64 (log.f64 x) (/.f64 (/.f64 1 x) (sqrt.f64 -1))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 (neg.f64 (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 (fma.f64 -1 (neg.f64 (log.f64 x)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))))
(+.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (-.f64 (log.f64 x) (+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (/.f64 3/40 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (fma.f64 1/6 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (-.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 3/40 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (sqrt.f64 -1))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sqrt.f64 -1))))
(-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 (neg.f64 (sqrt.f64 -1))))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 -1/6 (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (log.f64 (/.f64 -1 x))) (/.f64 -1/6 (*.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3))))))
(-.f64 (+.f64 (/.f64 1 (.f64 (sqrt.f64 -1) x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (.f64 3/40 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))))))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 (neg.f64 (sqrt.f64 -1)))) (/.f64 3/40 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5)))) (/.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 1 (.f64 x (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 3/40 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (-.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (log.f64 (/.f64 -1 x)))) (/.f64 -1/6 (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (-.f64 (/.f64 3/40 (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 5))) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/6 (.f64 (sqrt.f64 -1) (neg.f64 (pow.f64 x 3))))))
(-.f64 (log.f64 x) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(-.f64 (-.f64 (log.f64 x) (log.f64 1/2)) (*.f64 2 (log.f64 x)))
(-.f64 (log.f64 x) (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(-.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (log.f64 x)) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x))))
(-.f64 (fma.f64 -1/4 (.f64 x x) (log.f64 x)) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x))))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (log.f64 x)) (fma.f64 2 (log.f64 x) (log.f64 1/2)))
(fma.f64 -1/4 (*.f64 x x) (-.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/32 (pow.f64 x 4)) (log.f64 x))) (+.f64 (log.f64 1/2) (*.f64 2 (log.f64 x))))
(-.f64 (fma.f64 -1/4 (.f64 x x) (fma.f64 -3/32 (pow.f64 x 4) (log.f64 x))) (+.f64 (log.f64 1/2) (.f64 2 (log.f64 x))))
(-.f64 (fma.f64 -1/4 (*.f64 x x) (fma.f64 (pow.f64 x 4) -3/32 (log.f64 x))) (fma.f64 2 (log.f64 x) (log.f64 1/2)))
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(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (-.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x)))))) (+.f64 (neg.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) 2)) (cbrt.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (.f64 x x))))) (log.f64 x))
(-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 20 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary64`
795×	`add-log-exp_binary64`
794×	`log1p-expm1-u_binary64`
794×	`expm1-log1p-u_binary64`
783×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	181	15
2	2432	15

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (-.f64 (log.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))) (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (log.f64 (/.f64 2 x))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) (neg.f64 (-.f64 1 (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1) (+.f64 (log.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (-.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 2 x) (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (/.f64 2 x) (E.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (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 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (+.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (+.f64 (log.f64 (/.f64 2 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1))) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)))))

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

849×	`times-frac_binary64`
542×	`fma-neg_binary64`
523×	`cancel-sign-sub-inv_binary64`
300×	`unswap-sqr_binary64`
298×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	191	1515
1	442	1464
2	1967	1464

Stop Event

1×	node limit

Counts

104 → 113

Calls

Call 1

Inputs
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.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 2) (-.f64 (log.f64 x) 1))
(-.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))
(-.f64 (+.f64 1 (log.f64 2)) (log.f64 x))
(*.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))) (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (log.f64 (/.f64 2 x))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) (neg.f64 (-.f64 1 (log.f64 (/.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1) (+.f64 (log.f64 (/.f64 2 x)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (-.f64 1 (log.f64 (/.f64 2 x))))
(pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))
(log.f64 (*.f64 (/.f64 2 x) (E.f64)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))
(expm1.f64 (log.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(log1p.f64 (-.f64 (*.f64 (/.f64 2 x) (E.f64)) 1))
(exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(fma.f64 1 (log.f64 (/.f64 2 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 1)
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
(+.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 -1 (+.f64 1 (log.f64 (/.f64 2 x))))
(+.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (+.f64 (log.f64 (/.f64 2 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (+.f64 (log.f64 (/.f64 2 x)) -1))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1))) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)

Outputs
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(+.f64 (+.f64 1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) 1))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 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 2) (-.f64 (log.f64 x) 1))
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(-.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) 1)
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(-.f64 (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 -1 (log.f64 (/.f64 2 x))))
(-.f64 (+.f64 1 (log.f64 2)) (log.f64 x))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))))
(+.f64 1 (log.f64 (/.f64 2 x)))
(.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(+.f64 1 (log.f64 (/.f64 2 x)))
(*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (/.f64 1 (-.f64 1 (log.f64 (/.f64 2 x)))))
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(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(/.f64 1 (/.f64 (-.f64 1 (log.f64 (/.f64 2 x))) (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))))
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(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (-.f64 1 (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 1 (log.f64 (/.f64 2 x))))
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(/.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2))) (neg.f64 (-.f64 1 (log.f64 (/.f64 2 x)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1) (+.f64 (log.f64 (/.f64 2 x)) -1))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 -1 (log.f64 (/.f64 2 x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 3)) (+.f64 1 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) 1) (-.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (-.f64 1 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 -1 (pow.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 -1 (log.f64 (/.f64 2 x))))
(pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 3)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2)
(+.f64 1 (log.f64 (/.f64 2 x)))
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) 1/3)
(+.f64 1 (log.f64 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))
(+.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (*.f64 (/.f64 2 x) (E.f64)))
(+.f64 1 (log.f64 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3))
(+.f64 1 (log.f64 (/.f64 2 x)))
(expm1.f64 (log.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (log.f64 (/.f64 2 x)))))
(log1p.f64 (-.f64 (*.f64 (/.f64 2 x) (E.f64)) 1))
(log1p.f64 (fma.f64 (/.f64 2 x) (E.f64) -1))
(exp.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(fma.f64 1 (log.f64 (/.f64 2 x)) 1)
(+.f64 1 (log.f64 (/.f64 2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))) 1)
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(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))) 1)
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(+.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1))
(log.f64 (/.f64 2 x))
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(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 2 x)) 0)
(log.f64 (/.f64 2 x))
(+.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(+.f64 0 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
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(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 x)) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 x))))
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(*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 x))))
(*.f64 1 (log.f64 (/.f64 2 x)))
(log.f64 (/.f64 2 x))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2))
(log.f64 (/.f64 2 x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 2) (cbrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) (sqrt.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (/.f64 1 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (-.f64 -2 (log.f64 (/.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 1))
(log.f64 (/.f64 2 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x))))))
(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 2 x)) 2) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (-.f64 -2 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (+.f64 (log.f64 (/.f64 2 x)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (-.f64 -2 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1) (-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (-.f64 -2 (log.f64 (/.f64 2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) (+.f64 (log.f64 (/.f64 2 x)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (/.f64 1 (+.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 2 (+.f64 (log.f64 (/.f64 2 x)) (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (*.f64 (+.f64 2 (log.f64 (/.f64 2 x))) (+.f64 1 (log.f64 (/.f64 2 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2) -1)) (neg.f64 (+.f64 (log.f64 (/.f64 2 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (/.f64 1 (+.f64 2 (log.f64 (/.f64 2 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (+.f64 2 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 2)) (-.f64 -2 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 2) (log.f64 2) (*.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 2) (log.f64 x)) (*.f64 (log.f64 2) (log.f64 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1)) (+.f64 (log.f64 (/.f64 2 x)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) (+.f64 -1 (log.f64 (/.f64 2 x)))) (+.f64 -1 (log.f64 (/.f64 2 x))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) (-.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) 3)) (+.f64 1 (*.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) (+.f64 -1 (+.f64 -1 (log.f64 (/.f64 2 x)))))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (log.f64 (/.f64 2 x))) (+.f64 (log.f64 2) (log.f64 x)))
(/.f64 (*.f64 (log.f64 (/.f64 2 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (log.f64 (/.f64 2 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 2 x)) -1) (+.f64 (log.f64 (/.f64 2 x)) -1))) (-.f64 1 (+.f64 (log.f64 (/.f64 2 x)) -1)))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) (+.f64 -1 (log.f64 (/.f64 2 x))))) (-.f64 1 (+.f64 -1 (log.f64 (/.f64 2 x)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 -1 (log.f64 (/.f64 2 x))) (+.f64 -1 (log.f64 (/.f64 2 x))))) (-.f64 2 (log.f64 (/.f64 2 x))))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(log.f64 (/.f64 2 x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(log.f64 (/.f64 2 x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(log.f64 (/.f64 2 x))
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (/.f64 2 x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(log.f64 (/.f64 2 x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(log1p.f64 (+.f64 (/.f64 2 x) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(log.f64 (/.f64 2 x))
(fma.f64 1 (+.f64 1 (log.f64 (/.f64 2 x))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) 2) (cbrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) (sqrt.f64 (+.f64 1 (log.f64 (/.f64 2 x)))) -1)
(log.f64 (/.f64 2 x))

eval194.0ms (4.3%)

Compiler: Compiled 10116 to 7141 computations (29.4% saved)

prune71.0ms (1.6%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	487	0	487
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	487	5	492

Error

Counts

492 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
✓	62.1b	(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
✓	0.0b	(log.f64 (/.f64 (+.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))) x))
✓	1.0b	(log.f64 (/.f64 2 x))
✓	0.8b	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 55 to 42 computations (23.6% saved)

regimes16.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

Inputs
(log.f64 (/.f64 2 x))
(-.f64 (+.f64 1 (log.f64 (/.f64 2 x))) 1)
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(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)))
(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 1 x))) (log1p.f64 (neg.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))))
(+.f64 (log.f64 (.f64 (+.f64 (+.f64 -1 (.f64 x x)) 1) (pow.f64 x -2))) (log.f64 (/.f64 x (-.f64 1 (sqrt.f64 (-.f64 1 (*.f64 x x)))))))

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

Calls

3 calls:

6.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))`
0.0b	1	`(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))`

Compiler

Compiled 117 to 81 computations (30.8% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0.4%)

Threshold costs -0.0b (-0.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.0b	1	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	29	38
2	36	38
3	40	38
4	42	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness84.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

299×	`fma-neg_binary64`
295×	`log-prod_binary64`
278×	`div-sub_binary64`
246×	`fma-def_binary64`
236×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	646	4294974224
1	1665	6455
2	5489	6386

Stop Event

1×	node limit

Compiler

Compiled 69 to 54 computations (21.7% saved)

end24.0ms (0.5%)

Compiler: Compiled 26 to 20 computations (23.1% saved)

Details

analyze5.0ms (0.1%)

sample982.0ms (21.7%)

preprocess125.0ms (2.7%)

simplify116.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize251.0ms (5.5%)

series235.0ms (5.2%)

rewrite97.0ms (2.1%)

simplify138.0ms (3%)

eval206.0ms (4.5%)

prune125.0ms (2.8%)

localize16.0ms (0.3%)

series4.0ms (0.1%)

rewrite68.0ms (1.5%)

simplify57.0ms (1.2%)

localize5.0ms (0.1%)

series88.0ms (1.9%)

rewrite40.0ms (0.9%)

simplify40.0ms (0.9%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

rewrite270.0ms (5.9%)

simplify250.0ms (5.5%)

localize37.0ms (0.8%)

series3.0ms (0.1%)

rewrite74.0ms (1.6%)

simplify73.0ms (1.6%)

eval343.0ms (7.6%)

prune158.0ms (3.5%)

localize29.0ms (0.6%)

series5.0ms (0.1%)

rewrite68.0ms (1.5%)

simplify94.0ms (2.1%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite50.0ms (1.1%)

simplify47.0ms (1%)

eval194.0ms (4.3%)

prune71.0ms (1.6%)

regimes16.0ms (0.4%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness84.0ms (1.8%)

end24.0ms (0.5%)

Profiling