Details

analyze91.0ms (1.1%)

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
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.0s (37.2%)

Results

1.3s	2544×	body	1024	valid
824.0ms	1242×	body	2048	valid
454.0ms	3138×	body	256	valid
399.0ms	1285×	body	512	valid
28.0ms	47×	body	4096	valid

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x 1))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval1.0ms (0%)

Compiler: Compiled 24 to 16 computations (33.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

45.5b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.5b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (hypot.f64 1 x))
✓	2.6b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	30
2	1952	30

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))

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

Outputs

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

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))) (log.f64 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (/.f64 -1/4 x) x)))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 (/.f64 -1/4 x) x) (/.f64 -5/96 (pow.f64 x 6)))) (log.f64 (/.f64 -1 x))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 x)))
(+.f64 (fma.f64 (pow.f64 x 4) -1/8 x) (fma.f64 x (*.f64 x 1/2) 1))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5)))) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))) (/.f64 -1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 5/128 (pow.f64 x 7)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 1 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 1 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))

eval114.0ms (1.4%)

Compiler: Compiled 1894 to 1401 computations (26% saved)

prune76.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	129	8	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	130	8	138

Error

0.0b

Counts

138 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	47.4b	(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
	47.5b	(+.f64 (log.f64 2) (log.f64 x))
▶	47.5b	(log.f64 (/.f64 -1/2 x))
▶	47.0b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
▶	47.7b	(log.f64 (+.f64 x x))
▶	56.6b	(log.f64 (+.f64 x 1))
	31.0b	x

Compiler

Compiled 106 to 81 computations (23.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1614×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2169	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 -1/6 (pow.f64 x 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/6 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

770×	`associate-*r/`
650×	`+-commutative`
622×	`associate-*l/`
606×	`associate--r+`
558×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	287	1239
2	1151	1171
3	5258	1171

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 (pow.f64 x 3) (*.f64 -1/6 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/6)) (.f64 (pow.f64 x 6) 1/36)))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 1/6 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.3b	(log.f64 (+.f64 x 1))

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`add-sqr-sqrt`
1270×	`*-un-lft-identity`
1182×	`add-cube-cbrt`
1170×	`add-cbrt-cube`
1158×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	137	5
2	1639	5

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1210×	`distribute-lft-in`
1008×	`distribute-rgt-in`
846×	`associate-+r+`
742×	`associate-r`
576×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	566
1	229	494
2	787	494
3	3179	492

Stop Event

1×	node limit

Counts

32 → 56

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 3 computations (66.7% saved)

series65.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(log.f64 (+.f64 x x))
24.0ms	x	@	inf	(log.f64 (+.f64 x x))
16.0ms	x	@	-inf	(log.f64 (+.f64 x x))

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`add-sqr-sqrt`
1130×	`*-un-lft-identity`
1072×	`pow1`
1056×	`add-cube-cbrt`
1046×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1605	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

864×	`associate-+r+`
790×	`distribute-lft-out`
782×	`associate-+l+`
776×	`associate-r`
756×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	502
1	125	390
2	521	390
3	2745	390
4	5929	390

Stop Event

1×	node limit

Counts

32 → 29

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

3 → 27

Calls

9 calls:

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

rewrite157.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`*-commutative`
930×	`associate-*r/`
762×	`unswap-sqr`
610×	`swap-sqr`
570×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	249	41
2	2988	41

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs

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simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-/l/`
812×	`associate-/r/`
808×	`+-commutative`
760×	`associate-+l+`
720×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	490	7649
1	1286	7059
2	5223	7035

Stop Event

1×	node limit

Counts

197 → 298

Calls

Call 1

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

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

eval162.0ms (2%)

Compiler: Compiled 8270 to 6123 computations (26% saved)

prune119.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	438	2	440
Fresh	0	3	3
Picked	1	0	1
Done	1	3	4
Total	440	8	448

Error

0.0b

Counts

448 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	47.4b	(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
▶	47.5b	(+.f64 (log.f64 2) (log.f64 x))
▶	27.9b	(log1p.f64 x)
✓	47.5b	(log.f64 (/.f64 -1/2 x))
▶	47.0b	(log.f64 (+.f64 (*.f64 2 x) (/.f64 -1/2 (neg.f64 x))))
✓	47.7b	(log.f64 (+.f64 x x))
	31.0b	x

Compiler

Compiled 51 to 38 computations (25.5% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 19 computations (36.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`associate-*r/`
898×	`*-commutative`
612×	`associate-/r*`
556×	`associate-*l/`
514×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	238	34
2	3104	34

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify124.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1008×	`+-commutative`
980×	`associate-+l+`
890×	`associate-+r+`
620×	`associate-l`
608×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	432	7209
1	1214	6781
2	6381	6781

Stop Event

1×	node limit

Counts

187 → 286

Calls

Call 1

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

Outputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))
(fma.f64 4 (*.f64 x x) (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
(+.f64 (fma.f64 4 (.f64 x x) (-.f64 (log.f64 1/2) (log.f64 x))) (.f64 -8 (pow.f64 x 4)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(fma.f64 4 (*.f64 x x) (+.f64 (log.f64 1/2) (fma.f64 -8 (pow.f64 x 4) (fma.f64 64/3 (pow.f64 x 6) (neg.f64 (log.f64 x))))))
(+.f64 (-.f64 (fma.f64 -8 (pow.f64 x 4) (.f64 64/3 (pow.f64 x 6))) (log.f64 x)) (fma.f64 4 (.f64 x x) (log.f64 1/2)))
(+.f64 (fma.f64 4 (.f64 x x) (-.f64 (log.f64 1/2) (log.f64 x))) (fma.f64 -8 (pow.f64 x 4) (.f64 64/3 (pow.f64 x 6))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (/.f64 1/4 x) x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (/.f64 (/.f64 1/4 x) x)) (+.f64 (log.f64 x) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/32 (pow.f64 x 4))) (log.f64 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/192 (pow.f64 x 6))) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 -1/32 (pow.f64 x 4))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (log.f64 -2)) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (/.f64 1/4 (*.f64 x x))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 -1/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))) (/.f64 1/32 (pow.f64 x 4)))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/192 (pow.f64 x 6))) (/.f64 -1/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/192 (pow.f64 x 6)) (/.f64 -1/32 (pow.f64 x 4)))))
(/.f64 1/2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(+.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 0)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (*.f64 (neg.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (*.f64 -1 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (*.f64 (neg.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (*.f64 (neg.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (log.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x)))))
(+.f64 (-.f64 (*.f64 2 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(-.f64 (*.f64 2 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log1p.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(+.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log1p.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (+.f64 0 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))) (log1p.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) 0) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (-.f64 (log.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(fabs.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))
(-.f64 (*.f64 2 x) (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (*.f64 2 x) (-.f64 (/.f64 -1/2 x) (fma.f64 (/.f64 1 x) -1/2 (/.f64 -1/2 x))))
(+.f64 (-.f64 (*.f64 x 2) (/.f64 -1/2 x)) (fma.f64 (/.f64 1 x) -1/2 (/.f64 -1/2 x)))
(+.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)))
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(/.f64 (fma.f64 16 (.f64 x (pow.f64 x 3)) (.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(/.f64 (fma.f64 16 (pow.f64 x 4) (pow.f64 (/.f64 -1/2 x) 4)) (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 3))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 2 x) 2) 3) (pow.f64 (pow.f64 (/.f64 -1/2 x) 2) 3)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (.f64 (pow.f64 (/.f64 -1/2 x) 2) (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (.f64 16 (*.f64 x (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 x 2) 2) 3) (pow.f64 (pow.f64 (/.f64 -1/2 x) 2) 3)) (.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (fma.f64 (pow.f64 (/.f64 -1/2 x) 2) (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) (.f64 (.f64 16 x) (pow.f64 x 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 x (.f64 x 4)) 3) (pow.f64 (pow.f64 (/.f64 -1/2 x) 2) 3)) (fma.f64 x 2 (/.f64 -1/2 x))) (fma.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) (pow.f64 (/.f64 -1/2 x) 2) (*.f64 16 (pow.f64 x 4))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 64) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 6) 64) (pow.f64 (pow.f64 (/.f64 -1/2 x) 2) 3)) (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))) (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 8) 3) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) 512) (/.f64 -1/512 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))) (fma.f64 (pow.f64 x 6) 64 (.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (*.f64 (pow.f64 x 3) 8)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) 512 (/.f64 -1/512 (pow.f64 (pow.f64 x 3) 3))) (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))) (fma.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/8 (pow.f64 x 3)) (.f64 (pow.f64 x 3) 8)) (.f64 (pow.f64 x 6) 64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2))
(fma.f64 x 2 (/.f64 -1/2 x))
(/.f64 (/.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 x 2 (/.f64 -1/2 x))
(/.f64 (/.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 x 2 (/.f64 -1/2 x))
(/.f64 (/.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x)))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)) (/.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 4)) (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (/.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (.f64 2 x)))) (-.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (/.f64 -1/2 x))))
(/.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2) (.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (.f64 x 2))) (-.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 (/.f64 -1/2 x)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (*.f64 x (/.f64 1 x)))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (.f64 x (/.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2) (*.f64 x (/.f64 1 x)))))
(*.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 1 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2)))
(pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 1)
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 2)
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) 3)
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3) 1/3)
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(fma.f64 x 2 (/.f64 -1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(fma.f64 x 2 (/.f64 -1/2 x))
(neg.f64 (fma.f64 2 x (/.f64 -1/2 x)))
(neg.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (*.f64 x -2) (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 2))
(fabs.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 x 2 (/.f64 -1/2 x))
(log.f64 (/.f64 (exp.f64 (*.f64 2 x)) (exp.f64 (/.f64 -1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 -1/2 x)))))
(fma.f64 x 2 (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 -1/2 x)) 3))
(fma.f64 x 2 (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 x 2 (/.f64 -1/2 x))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 x 2 (/.f64 -1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 2 x (/.f64 -1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 -1/2 (/.f64 1 x) (*.f64 2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 -1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 1 (/.f64 -1/2 x) (*.f64 2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (/.f64 -1/2 x)) (*.f64 2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (.f64 2 x)) (/.f64 -1/2 x))
(fma.f64 x 2 (/.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 x 2 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (.f64 2 x)) (/.f64 -1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))

localize2.0ms (0%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series82.0ms (1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
56.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
20.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1608×	`*-un-lft-identity`
1504×	`add-cube-cbrt`
1488×	`add-cbrt-cube`
162×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	163	11
2	2022	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-r`
1080×	`associate-l`
892×	`associate-+r+`
592×	`associate-+l+`
574×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1429
1	233	1035
2	799	1015
3	4518	1015

Stop Event

1×	node limit

Counts

43 → 45

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
✓	0.1b	(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
✓	0.5b	(/.f64 1/4 (*.f64 x x))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite106.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`associate-*l/`
1078×	`distribute-lft-in`
800×	`associate-/r*`
324×	`associate-/l*`
308×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	263	61
2	3567	61

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1/4 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/4 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/4 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/4 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/4 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/4 (*.f64 x x))))))))

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simplify204.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1230×	`+-commutative`
1192×	`associate-+r+`
734×	`associate-/l*`
704×	`associate-r`
630×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	509	13168
1	1496	12436
2	7355	12436

Stop Event

1×	node limit

Counts

220 → 297

Calls

Call 1

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

Outputs
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(log.f64 (*.f64 x 2))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(+.f64 (log.f64 2) (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (log.f64 -1)) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (log.f64 -1) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (+.f64 (log.f64 -1) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x -2))) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (log.f64 -1) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (+.f64 (log.f64 -1) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x -2))) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (+.f64 (log.f64 -1) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 2) (+.f64 (log.f64 -1) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x -2))) (log.f64 (/.f64 -1 x))))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x -2))) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x -2))) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 1/4 (pow.f64 x -2))) (log.f64 (/.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/4 (*.f64 x x)))) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 1/4 (pow.f64 x -2))
(/.f64 1/4 (*.f64 x x))
(.f64 (/.f64 1/4 (.f64 x x)) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 1 (/.f64 1/4 (.f64 x x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 1/2 x) (/.f64 1/2 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 x x))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 1/4 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 1/4 (.f64 x x))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))))
(*.f64 (/.f64 1/4 x) (/.f64 1 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 1/4)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(.f64 -1/4 (/.f64 -1 (.f64 x x)))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 1/4 x))
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x 4)))
(.f64 (/.f64 -1 (.f64 x x)) -1/4)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (/.f64 1/4 (*.f64 x x)) 1)
(/.f64 1/4 (*.f64 x x))
(*.f64 1/4 (pow.f64 x -2))
(pow.f64 (/.f64 1/2 x) 2)
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (.f64 (pow.f64 (/.f64 1/4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (/.f64 1 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))))) (-.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (/.f64 1/4 (.f64 x x)) 6)) (.f64 (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (/.f64 1/4 (.f64 x x)))) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log.f64 x) 3) (/.f64 1/64 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 6) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 6)) (.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 x)))) (-.f64 (pow.f64 (log.f64 x) 3) (/.f64 1/64 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 x) 3) 3) (pow.f64 (pow.f64 (/.f64 1/4 (.f64 x x)) 3) 3)) (/.f64 1 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))))) (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (-.f64 (.f64 (pow.f64 (/.f64 1/4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 x) 3) 3) (pow.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) 3)) (.f64 (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (/.f64 1/4 (.f64 x x)))) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log.f64 x) 6) (-.f64 (pow.f64 (/.f64 1/4 (.f64 x x)) 6) (.f64 (/.f64 1/64 (pow.f64 (*.f64 x x) 3)) (pow.f64 (log.f64 x) 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (log.f64 x) 3) 3) (pow.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) 3)) (fma.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (-.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (pow.f64 (log.f64 x) 3)) (pow.f64 (log.f64 x) 6))) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) 1) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (/.f64 -1/16 (pow.f64 x 4))) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) (sqrt.f64 (-.f64 (log.f64 x) (/.f64 1/4 (.f64 x x))))) (sqrt.f64 (-.f64 (log.f64 x) (/.f64 1/4 (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (/.f64 -1/16 (pow.f64 x 4))) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) (.f64 (cbrt.f64 (-.f64 (log.f64 x) (/.f64 1/4 (.f64 x x)))) (cbrt.f64 (-.f64 (log.f64 x) (/.f64 1/4 (.f64 x x)))))) (cbrt.f64 (-.f64 (log.f64 x) (/.f64 1/4 (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) (-.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (/.f64 -1/16 (pow.f64 x 4))) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) (+.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 x)))) (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (/.f64 1/16 (pow.f64 x 4))) (*.f64 (-.f64 (sqrt.f64 (log.f64 x)) (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 2) (/.f64 -1/16 (pow.f64 x 4))) (*.f64 (+.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 x))) (+.f64 (sqrt.f64 (log.f64 x)) (/.f64 -1/2 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) 1) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (pow.f64 (log.f64 x) 3)) (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (pow.f64 (log.f64 x) 3)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (sqrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2))))) (sqrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2)))))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (pow.f64 (log.f64 x) 3)) (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (pow.f64 (log.f64 x) 3)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (.f64 (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2)))))) (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (-.f64 (.f64 (/.f64 1/4 (.f64 x x)) (log.f64 x)) (pow.f64 (log.f64 x) 2)))))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (pow.f64 (log.f64 x) 3)) (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (/.f64 1/64 (pow.f64 (.f64 x x) 3)) (pow.f64 (log.f64 x) 3)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 x) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 x)))))
(pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) 1)
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(pow.f64 (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))) 3)
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) 3) 1/3)
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) 2))
(fabs.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))
(log.f64 (*.f64 x (pow.f64 (exp.f64 1/4) (pow.f64 x -2))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x)) 3))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(exp.f64 (log.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))) 1))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 x))))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1 (/.f64 1/4 (*.f64 x x)) (log.f64 x))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 1 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (/.f64 1/2 x) (/.f64 1/2 x) (log.f64 x))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))
(fma.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (log.f64 x))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 x))

eval331.0ms (4.1%)

Compiler: Compiled 16549 to 12294 computations (25.7% saved)

prune100.0ms (1.2%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	625	3	628
Fresh	0	1	1
Picked	1	0	1
Done	1	5	6
Total	627	9	636

Error

Counts

636 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.6b	(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
✓	32.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	47.5b	(+.f64 (log.f64 2) (log.f64 x))
▶	47.6b	(.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (*.f64 2 x))) 1)
✓	27.9b	(log1p.f64 x)
✓	47.5b	(log.f64 (/.f64 -1/2 x))
▶	47.0b	(log.f64 (-.f64 (*.f64 2 x) (/.f64 -1/2 x)))
✓	47.7b	(log.f64 (+.f64 x x))
	31.0b	x

Compiler

Compiled 68 to 53 computations (22.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 18 computations (28% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`associate-*r/`
922×	`*-commutative`
674×	`unswap-sqr`
570×	`associate-*l/`
550×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	216	34
2	2719	34

Stop Event

1×	node limit

Counts

2 → 157

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))))) (#(struct:change #<rule 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simplify120.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1778×	`associate-*l/`
1216×	`associate-+r+`
1054×	`+-commutative`
786×	`fma-def`
460×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	9285
1	1196	8795
2	4939	8651

Stop Event

1×	node limit

Counts

181 → 287

Calls

Call 1

Inputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(/.f64 1/2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 1))
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(-.f64 (log.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) 1)
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 2 x (/.f64 1/2 x)) 1))
(+.f64 (*.f64 2 x) (/.f64 1/2 x))
(+.f64 (*.f64 2 x) (+.f64 (/.f64 1/2 x) (fma.f64 (/.f64 -1 x) -1/2 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 x) (+.f64 (/.f64 1/2 x) (fma.f64 (/.f64 1/2 x) 1 (/.f64 -1/2 x))))
(+.f64 (*.f64 2 x) (+.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)) (/.f64 -1/2 x))))
(+.f64 (.f64 2 x) (+.f64 (/.f64 1/2 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 1/4 (.f64 x x))) (/.f64 -1/2 x))))
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) (fma.f64 (/.f64 -1 x) -1/2 (/.f64 -1/2 x)))
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) (fma.f64 (/.f64 1/2 x) 1 (/.f64 -1/2 x)))
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 -1/2 x))) (sqrt.f64 (/.f64 -1/2 x)) (/.f64 -1/2 x)))
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1/2 x))) (cbrt.f64 (/.f64 1/4 (*.f64 x x))) (/.f64 -1/2 x)))
(+.f64 (fma.f64 2 x (/.f64 1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) -1/2 (/.f64 -1/2 x)) (fma.f64 (/.f64 -1 x) -1/2 (/.f64 -1/2 x))))
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(+.f64 (fma.f64 2 x (/.f64 1/2 x)) (+.f64 (fma.f64 (/.f64 -1 x) -1/2 (/.f64 -1/2 x)) (fma.f64 (/.f64 1/2 x) 1 (/.f64 -1/2 x))))
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(+.f64 (/.f64 1/2 x) (*.f64 2 x))
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(+.f64 (-.f64 (*.f64 2 x) (exp.f64 (log1p.f64 (/.f64 -1/2 x)))) 1)
(*.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(*.f64 1 (fma.f64 2 x (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(.f64 (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(.f64 (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (.f64 2 x))) (-.f64 (sqrt.f64 (*.f64 2 x)) (sqrt.f64 (/.f64 -1/2 x))))
(.f64 (-.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (/.f64 -1/2 x))) (+.f64 (sqrt.f64 (/.f64 -1/2 x)) (sqrt.f64 (*.f64 2 x))))
(.f64 (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x))) (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))) (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x))) (fma.f64 2 x (/.f64 1/2 x)))
(.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (.f64 (.f64 x x) 4) (*.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/2 x))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 1/4 (.f64 x x)) (.f64 (fma.f64 2 x (/.f64 -1/2 x)) (fma.f64 2 x (/.f64 -1/2 x)))))) (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 (.f64 x x) 4) 3) (pow.f64 (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))) 3))) (+.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))) (-.f64 (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))) (.f64 (.f64 x x) 4)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(/.f64 1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) (fma.f64 2 x (/.f64 -1/2 x)))
(/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))))
(/.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (/.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x))) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))))) (/.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)))) (/.f64 (fma.f64 2 x (/.f64 -1/2 x)) (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)))))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 x x) 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 (/.f64 1/2 x) 3)) (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (*.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 8) 3) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 4) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (.f64 (fma.f64 2 x (/.f64 -1/2 x)) (+.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 x x) 4))))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) 4)) (/.f64 1/4 (.f64 x x))) (+.f64 (/.f64 1/2 x) (.f64 x -2)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 1 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 (/.f64 1/2 x) 3))) (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (.f64 2 x)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (pow.f64 (/.f64 1/2 x) 3)) 1) (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (.f64 2 x)))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) 4)) (/.f64 1/4 (.f64 x x))) 1) (+.f64 (/.f64 1/2 x) (*.f64 x -2)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) 1) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x))) (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (*.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x))) (pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (.f64 (-.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 x x) 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 4) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (/.f64 1 (fma.f64 2 x (/.f64 -1/2 x)))) (+.f64 (.f64 16 (.f64 x (pow.f64 x 3))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 (*.f64 x x) 4)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) 8) 3) (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 3) 8) (/.f64 -1/8 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) 1) (fma.f64 2 x (/.f64 -1/2 x)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x)))) (sqrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) (*.f64 (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))) (cbrt.f64 (fma.f64 2 x (/.f64 -1/2 x))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) 1) (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))) (cbrt.f64 (+.f64 (.f64 (.f64 x x) 4) (*.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x))))))
(pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 x x) 4) (/.f64 (/.f64 -1/4 x) x)) (+.f64 (/.f64 1/2 x) (*.f64 x -2))))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 8) (/.f64 1/8 (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (/.f64 -1/2 x) (fma.f64 2 x (/.f64 -1/2 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 x (/.f64 1/2 x))))
(exp.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (fma.f64 2 x (/.f64 1/2 x))))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(fma.f64 1 (*.f64 2 x) (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (.f64 2 x)) (sqrt.f64 (.f64 2 x)) (/.f64 1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (cbrt.f64 (.f64 2 x)) (/.f64 1/2 x))

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
✓	0.2b	(log.f64 (*.f64 2 x))
	0.5b	(/.f64 1/4 (*.f64 x x))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series14.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(log.f64 (*.f64 2 x))
7.0ms	x	@	inf	(log.f64 (*.f64 2 x))
0.0ms	x	@	0	(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
0.0ms	x	@	inf	(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
0.0ms	x	@	-inf	(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1022×	`associate-*l/`
984×	`*-commutative`
678×	`associate-/r*`
650×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	236	36
2	3028	36

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1/4) x))) (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 (cbrt.f64 (*.f64 2 x))) (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1/4) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 0) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 2)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1/4) x)))) (log.f64 (cbrt.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (*.f64 2 x)))) (log.f64 (sqrt.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1/4) x)))) (*.f64 1 (log.f64 (cbrt.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (*.f64 2 x)))) (*.f64 1 (log.f64 (sqrt.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 x 1/4) x))) 1) (*.f64 (log.f64 (cbrt.f64 (*.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1) (*.f64 (log.f64 (sqrt.f64 (*.f64 2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.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 1 (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 (cbrt.f64 (log.f64 (*.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2)) (cbrt.f64 (log.f64 (*.f64 2 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 /.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (-.f64 (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.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 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (-.f64 (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) 1) (-.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (-.f64 (+.f64 (*.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 2 x)) 1)))) (#(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 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)))) (#(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 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 exp.f64 (log.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 -.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2)))) (-.f64 1 (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) (-.f64 1 (*.f64 1/4 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/16 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x))) (pow.f64 x 4))) (/.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2) (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (*.f64 2 x)) (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 x -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/4 (pow.f64 x -2)) (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (*.f64 2 x)))) (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))) 2) (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (*.f64 2 x)) 2)) (/.f64 1 (-.f64 (*.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (*.f64 2 x)) 3)) (/.f64 1 (+.f64 (/.f64 1/16 (pow.f64 x 4)) 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(cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (*.f64 1/4 (pow.f64 x -2))) (log.f64 (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2)) (cbrt.f64 (log.f64 (*.f64 2 x))) (*.f64 1/4 (pow.f64 x -2)))))))

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1740×	`associate-*r/`
1466×	`associate-*l/`
1254×	`associate-+l+`
706×	`+-commutative`
452×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	8878
1	882	8008
2	4007	7984

Stop Event

1×	node limit

Counts

144 → 193

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(/.f64 1/4 (pow.f64 x 2))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (log.f64 (*.f64 2 x)) 0)
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 2)))
(+.f64 0 (log.f64 (*.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x))) (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 (cbrt.f64 (.f64 2 x))) (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (+.f64 (log.f64 2) 0) (log.f64 x))
(+.f64 (+.f64 0 (log.f64 2)) (log.f64 x))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x)))) (log.f64 (cbrt.f64 (.f64 2 x))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (.f64 2 x)))) (log.f64 (sqrt.f64 (.f64 2 x))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x)))) (.f64 1 (log.f64 (cbrt.f64 (.f64 2 x)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (.f64 2 x)))) (.f64 1 (log.f64 (sqrt.f64 (.f64 2 x)))))
(+.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x))) 1) (.f64 (log.f64 (cbrt.f64 (.f64 2 x))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1) (.f64 (log.f64 (sqrt.f64 (.f64 2 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (*.f64 2 x))))) 1)
(.f64 2 (log.f64 (sqrt.f64 (.f64 2 x))))
(.f64 (log.f64 (.f64 2 x)) 1)
(.f64 1 (log.f64 (.f64 2 x)))
(.f64 (sqrt.f64 (log.f64 (.f64 2 x))) (sqrt.f64 (log.f64 (*.f64 2 x))))
(.f64 (cbrt.f64 (log.f64 (.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (*.f64 2 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 2 x)) 2)) (cbrt.f64 (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 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (-.f64 (+.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (log.f64 2))))
(/.f64 (.f64 1 (-.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 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (-.f64 (+.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log.f64 2))))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (*.f64 (log.f64 x) (log.f64 x))) 1) (-.f64 (log.f64 2) (log.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) 1) (-.f64 (+.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 x) (log.f64 x))) (.f64 (log.f64 x) (log.f64 2))))
(pow.f64 (log.f64 (*.f64 2 x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 2 x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 2 x)) 3) 1/3)
(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))))
(exp.f64 (log.f64 (log.f64 (*.f64 2 x))))
(log1p.f64 (-.f64 (*.f64 2 x) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 1/4 (pow.f64 x -2)))) (-.f64 1 (log.f64 (.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 2 x)))) (-.f64 1 (.f64 1/4 (pow.f64 x -2))))
(-.f64 (/.f64 1/16 (.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))) (pow.f64 x 4))) (/.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))
(-.f64 (+.f64 (log.f64 (.f64 2 x)) (exp.f64 (log1p.f64 (.f64 1/4 (pow.f64 x -2))))) 1)
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x -2)) (exp.f64 (log1p.f64 (log.f64 (.f64 2 x))))) 1)
(.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x))) 1)
(.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x))))
(.f64 (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x)))) (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (*.f64 2 x)))))
(.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x)))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x)))) 2) (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))
(.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (/.f64 1 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))))
(.f64 (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)))
(.f64 (/.f64 1 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))) (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (*.f64 2 x)) 3)))
(.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2))) (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x))))
(.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (-.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (-.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))) (-.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 x 4)) 3) (pow.f64 (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))) 3))) (-.f64 (+.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) 1/4)) (.f64 (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))) (.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x))) (/.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 1 (/.f64 1 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))
(/.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))) (/.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))) (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (/.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2))) (/.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))) (sqrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)))) (/.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (*.f64 2 x)) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2))) (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)))) (/.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))) (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3)) (.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))) (-.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (*.f64 2 x)) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (/.f64 1/16 (pow.f64 x 4))) (-.f64 (log.f64 (.f64 2 x)) (*.f64 1/4 (pow.f64 x -2))))
(/.f64 (-.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) 1/4)) (.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (pow.f64 (log.f64 (.f64 2 x)) 2))) (.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (*.f64 2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) 3) (pow.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) 3)) (.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3)) (.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 1/16 (pow.f64 x 4)) 3) (pow.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) 3)) (.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))) (+.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) 1/4)) (+.f64 (.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (pow.f64 (log.f64 (.f64 2 x)) 2)) (.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (*.f64 2 x)) 2))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2))) (neg.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (/.f64 1/16 (pow.f64 x 4)))) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))
(/.f64 (.f64 1 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)))) (neg.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))
(/.f64 (.f64 1 (neg.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)))) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)))) (sqrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x)))) (sqrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)))) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)))) (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x)))) 2) (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)))) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (/.f64 1/16 (pow.f64 x 4))) 1) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))
(/.f64 (.f64 (neg.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2))) 1) (neg.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) 1) (neg.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x))))) (sqrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2))) (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x))))) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x)))) 2)) (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2))) (pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (.f64 2 x)))) 2)) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) 1/4)) (.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (pow.f64 (log.f64 (.f64 2 x)) 2))) (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))))) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (*.f64 2 x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 1/16 (pow.f64 x 4)) 3) (pow.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) 3)) (/.f64 1 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))))) (+.f64 (/.f64 (/.f64 1/64 (pow.f64 x 4)) (/.f64 (pow.f64 x 4) 1/4)) (+.f64 (.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (pow.f64 (log.f64 (.f64 2 x)) 2)) (.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (*.f64 2 x)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3)) (.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (/.f64 1 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))) (-.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (*.f64 2 x)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) 3) (pow.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) 3)) (/.f64 1 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))) (-.f64 (+.f64 (.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3)) (.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))) (.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3))))
(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) 1) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x))))
(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))))) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))
(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (+.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x))))) (-.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (*.f64 2 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) 1) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (sqrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))) (sqrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (.f64 (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))) (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))))
(pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 1)
(pow.f64 (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (*.f64 2 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 2))
(log.f64 (.f64 (.f64 2 x) (exp.f64 (*.f64 1/4 (pow.f64 x -2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))))))
(cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(exp.f64 (log.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(fma.f64 1 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))
(fma.f64 1 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))
(fma.f64 (/.f64 1/2 x) (/.f64 1/2 x) (log.f64 (*.f64 2 x)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 2 x))) (sqrt.f64 (log.f64 (.f64 2 x))) (*.f64 1/4 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (log.f64 (.f64 2 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 2 x)) 2)) (cbrt.f64 (log.f64 (.f64 2 x))) (*.f64 1/4 (pow.f64 x -2)))

Outputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(/.f64 1/4 (pow.f64 x 2))
(/.f64 1/4 (*.f64 x x))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(log.f64 (*.f64 2 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 -2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 -2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 -2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (*.f64 2 x)) 0)
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 x) (log.f64 2))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 2) (*.f64 2 (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (+.f64 (log.f64 2) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 2) (*.f64 3 (log.f64 (cbrt.f64 x))))
(+.f64 0 (log.f64 (*.f64 2 x)))
(log.f64 (*.f64 2 x))
(+.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x))) (log.f64 (cbrt.f64 (.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 x 1/4)))) (log.f64 (cbrt.f64 (.f64 2 x))))
(+.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 (cbrt.f64 (.f64 2 x))) (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x))))
(+.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 x 1/4)))) (log.f64 (cbrt.f64 (.f64 2 x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))))
(+.f64 (log.f64 2) (*.f64 2 (log.f64 (sqrt.f64 x))))
(+.f64 (+.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (+.f64 (log.f64 2) (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 2) (*.f64 3 (log.f64 (cbrt.f64 x))))
(+.f64 (+.f64 (log.f64 2) 0) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (+.f64 0 (log.f64 2)) (log.f64 x))
(log.f64 (*.f64 2 x))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (.f64 (/.f64 x 1/4) x)))) (log.f64 (cbrt.f64 (.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (.f64 x (/.f64 x 1/4)))) (log.f64 (cbrt.f64 (.f64 2 x))))
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(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) 1) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x))))
(-.f64 (/.f64 (/.f64 1/16 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))) (pow.f64 x 4)) (/.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (/.f64 -1/16 (pow.f64 x 4))) (+.f64 (log.f64 (.f64 2 x)) (*.f64 (pow.f64 x -2) -1/4)))
(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x))))) (sqrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(-.f64 (/.f64 (/.f64 1/16 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))) (pow.f64 x 4)) (/.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (/.f64 -1/16 (pow.f64 x 4))) (+.f64 (log.f64 (.f64 2 x)) (*.f64 (pow.f64 x -2) -1/4)))
(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (.f64 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))) (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))))
(-.f64 (/.f64 (/.f64 1/16 (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))) (pow.f64 x 4)) (/.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (-.f64 (.f64 1/4 (pow.f64 x -2)) (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 (.f64 2 x)) 2) (/.f64 -1/16 (pow.f64 x 4))) (+.f64 (log.f64 (.f64 2 x)) (*.f64 (pow.f64 x -2) -1/4)))
(/.f64 (/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (+.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x))))) (-.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (*.f64 2 x)))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (.f64 (-.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x)))) (+.f64 (sqrt.f64 (log.f64 (.f64 2 x))) (/.f64 1/2 x))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (log.f64 (.f64 2 x)) 2)) (.f64 (+.f64 (sqrt.f64 (log.f64 (.f64 2 x))) (/.f64 1/2 x)) (-.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (.f64 2 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) 1) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3)) 1) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (+.f64 (log.f64 (.f64 2 x)) (*.f64 -1/4 (pow.f64 x -2))))))
(/.f64 (fma.f64 1/64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (fma.f64 (log.f64 (.f64 2 x)) (+.f64 (log.f64 (.f64 2 x)) (.f64 (pow.f64 x -2) -1/4)) (/.f64 1/16 (pow.f64 x 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (sqrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2))))))) (sqrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3)) 1) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (+.f64 (log.f64 (.f64 2 x)) (*.f64 -1/4 (pow.f64 x -2))))))
(/.f64 (fma.f64 1/64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (fma.f64 (log.f64 (.f64 2 x)) (+.f64 (log.f64 (.f64 2 x)) (.f64 (pow.f64 x -2) -1/4)) (/.f64 1/16 (pow.f64 x 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (.f64 (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))) (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))))))) (cbrt.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (-.f64 (log.f64 (.f64 2 x)) (*.f64 1/4 (pow.f64 x -2)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 (.f64 2 x)) 3) (pow.f64 (.f64 1/4 (pow.f64 x -2)) 3)) 1) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 (log.f64 (.f64 2 x)) (+.f64 (log.f64 (.f64 2 x)) (*.f64 -1/4 (pow.f64 x -2))))))
(/.f64 (fma.f64 1/64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (log.f64 (.f64 2 x)) 3)) (fma.f64 (log.f64 (.f64 2 x)) (+.f64 (log.f64 (.f64 2 x)) (.f64 (pow.f64 x -2) -1/4)) (/.f64 1/16 (pow.f64 x 4))))
(pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 1)
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(pow.f64 (hypot.f64 (/.f64 1/2 x) (sqrt.f64 (log.f64 (*.f64 2 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))) 3)
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(pow.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 3) 1/3)
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 2))
(fabs.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))))
(log.f64 (.f64 (.f64 2 x) (exp.f64 (*.f64 1/4 (pow.f64 x -2)))))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))))))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(cbrt.f64 (pow.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x))) 3))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(expm1.f64 (log1p.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(exp.f64 (log.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(log1p.f64 (expm1.f64 (fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(fma.f64 1 (log.f64 (.f64 2 x)) (.f64 1/4 (pow.f64 x -2)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(fma.f64 1 (.f64 1/4 (pow.f64 x -2)) (log.f64 (.f64 2 x)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(fma.f64 (/.f64 1/2 x) (/.f64 1/2 x) (log.f64 (*.f64 2 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 2 x))) (sqrt.f64 (log.f64 (.f64 2 x))) (*.f64 1/4 (pow.f64 x -2)))
(fma.f64 1/4 (pow.f64 x -2) (log.f64 (*.f64 2 x)))
(fma.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 4))) (cbrt.f64 (.f64 1/4 (pow.f64 x -2))) (log.f64 (.f64 2 x)))
(fma.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 2 x)) 2)) (cbrt.f64 (log.f64 (.f64 2 x))) (*.f64 1/4 (pow.f64 x -2)))
(fma.f64 (cbrt.f64 (log.f64 (.f64 2 x))) (cbrt.f64 (pow.f64 (log.f64 (.f64 2 x)) 2)) (*.f64 1/4 (pow.f64 x -2)))

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))
✓	0.2b	(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
✓	0.3b	(pow.f64 (log.f64 x) 2)
✓	1.0b	(pow.f64 (log.f64 2) 2)

Compiler

Compiled 62 to 48 computations (22.6% saved)

series11.0ms (0.1%)

Counts

4 → 28

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
1.0ms	x	@	0	(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
1.0ms	x	@	inf	(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
0.0ms	x	@	-inf	(pow.f64 (log.f64 x) 2)
0.0ms	x	@	0	(pow.f64 (log.f64 x) 2)

rewrite94.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`associate-*r/`
1176×	`associate-*l/`
1104×	`associate-/r*`
854×	`associate-/l*`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	92
1	277	92
2	3629	92

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

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

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1420×	`associate-/l/`
992×	`associate-+r-`
956×	`associate-+l-`
790×	`+-commutative`
736×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	9907
1	1053	9307
2	5147	9301

Stop Event

1×	node limit

Counts

201 → 252

Calls

Call 1

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

Outputs
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (log.f64 (/.f64 1 x)) 2)
(pow.f64 (neg.f64 (log.f64 x)) 2)
(pow.f64 (log.f64 x) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)
(pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)
(/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))
(/.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2)))
(/.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (neg.f64 (log.f64 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (neg.f64 (log.f64 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (neg.f64 (log.f64 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 (/.f64 1 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (neg.f64 (log.f64 x)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 2))
(-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2))) 1)
(pow.f64 (log1p.f64 1) 2)
(*.f64 (log1p.f64 1) (log1p.f64 1))
(pow.f64 (log1p.f64 1) 2)
(*.f64 (pow.f64 (log1p.f64 1) 2) 1)
(pow.f64 (log1p.f64 1) 2)
(*.f64 1 (pow.f64 (log1p.f64 1) 2))
(pow.f64 (log1p.f64 1) 2)
(.f64 (sqrt.f64 (log1p.f64 1)) (.f64 (sqrt.f64 (log1p.f64 1)) (log1p.f64 1)))
(pow.f64 (log1p.f64 1) 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (pow.f64 (log1p.f64 1) 4)))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (.f64 (cbrt.f64 (log1p.f64 1)) (log1p.f64 1)))
(pow.f64 (log1p.f64 1) 2)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 1) 4)) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (pow.f64 (log1p.f64 1) 4)))
(.f64 (.f64 (log1p.f64 1) (sqrt.f64 (log1p.f64 1))) (sqrt.f64 (log1p.f64 1)))
(pow.f64 (log1p.f64 1) 2)
(.f64 (.f64 (log1p.f64 1) (pow.f64 (cbrt.f64 (log1p.f64 1)) 2)) (cbrt.f64 (log1p.f64 1)))
(pow.f64 (log1p.f64 1) 2)
(sqrt.f64 (pow.f64 (log1p.f64 1) 4))
(log.f64 (pow.f64 2 (log1p.f64 1)))
(*.f64 (log1p.f64 1) (log.f64 2))
(*.f64 (log.f64 2) (log1p.f64 1))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 1) 2))))
(pow.f64 (log1p.f64 1) 2)
(cbrt.f64 (pow.f64 (log1p.f64 1) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 1) 2)))
(pow.f64 (log1p.f64 1) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 1))))
(pow.f64 (log1p.f64 1) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 1))) 1))
(pow.f64 (log1p.f64 1) 2)
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(-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))
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eval698.0ms (8.6%)

Compiler: Compiled 21408 to 16724 computations (21.9% saved)

prune161.0ms (2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	762	0	762
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	762	9	771

Error

Counts

771 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	47.6b	(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
✓	32.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	47.5b	(+.f64 (log.f64 2) (log.f64 x))
✓	47.6b	(.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (*.f64 2 x))) 1)
✓	27.9b	(log1p.f64 x)
✓	47.5b	(log.f64 (/.f64 -1/2 x))
✓	47.0b	(log.f64 (-.f64 (*.f64 2 x) (/.f64 -1/2 x)))
✓	47.7b	(log.f64 (+.f64 x x))
	31.0b	x

Compiler

Compiled 68 to 53 computations (22.1% saved)

regimes61.0ms (0.7%)

Counts

15 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (-.f64 (*.f64 2 x) (/.f64 -1/2 x)))
(log.f64 (+.f64 (*.f64 2 x) (/.f64 -1/2 (neg.f64 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (*.f64 2 x))) 1)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))

Calls

3 calls:

37.0ms	x
14.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.0b	3	`x`
7.5b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.5b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 130 to 91 computations (30% saved)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	8.584915419576227e-7	11215.25794118092
21.0ms	-18803541539837334000.0	-5.736342332262149e-5

Results

35.0ms

336×

body

256

valid

Compiler

Compiled 399 to 312 computations (21.8% saved)

regimes48.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (-.f64 (*.f64 2 x) (/.f64 -1/2 x)))
(log.f64 (+.f64 (*.f64 2 x) (/.f64 -1/2 (neg.f64 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (*.f64 2 x))) 1)
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (log.f64 2) (log.f64 x))

Calls

3 calls:

28.0ms	x
10.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.2b	3	`x`
7.7b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.7b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 103 to 72 computations (30.1% saved)

bsearch49.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	8.584915419576227e-7	11215.25794118092
30.0ms	-18803541539837334000.0	-5.736342332262149e-5

Results

45.0ms

336×

body

256

valid

Compiler

Compiled 339 to 272 computations (19.8% saved)

regimes26.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (-.f64 (*.f64 2 x) (/.f64 -1/2 x)))
(log.f64 (+.f64 (*.f64 2 x) (/.f64 -1/2 (neg.f64 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (*.f64 2 x))) 1)

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (*.f64 2 x))) 1)

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 64 to 46 computations (28.1% saved)

bsearch40.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.584915419576227e-7	11215.25794118092
22.0ms	-18803541539837334000.0	-5.736342332262149e-5

Results

36.0ms

336×

body

256

valid

Compiler

Compiled 409 to 322 computations (21.3% saved)

regimes38.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (-.f64 (*.f64 2 x) (/.f64 -1/2 x)))
(log.f64 (+.f64 (*.f64 2 x) (/.f64 -1/2 (neg.f64 x))))
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (-.f64 (*.f64 2 x) (/.f64 -1/2 x)))

Calls

1 calls:

36.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 52 to 37 computations (28.8% saved)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	8.584915419576227e-7	11215.25794118092
22.0ms	-18803541539837334000.0	-5.736342332262149e-5

Results

36.0ms

336×

body

256

valid

Compiler

Compiled 369 to 292 computations (20.9% saved)

regimes15.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 x x))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

bsearch74.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	8.584915419576227e-7	11215.25794118092
53.0ms	-18803541539837334000.0	-5.736342332262149e-5

Results

69.0ms

336×

body

256

valid

Compiler

Compiled 329 to 252 computations (23.4% saved)

regimes14.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch71.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	8.584915419576227e-7	11215.25794118092
24.0ms	-18803541539837334000.0	-5.736342332262149e-5

Results

67.0ms

336×

body

256

valid

Compiler

Compiled 203 to 147 computations (27.6% saved)

regimes8.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
16.0b	2	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch29.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	8.584915419576227e-7	11215.25794118092

Results

28.0ms

160×

body

256

valid

Compiler

Compiled 104 to 70 computations (32.7% saved)

regimes14.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(log1p.f64 x)
(log.f64 (+.f64 x 1))

Outputs
x
(log.f64 (+.f64 x 1))

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
26.7b	2	`x`

Compiler

Compiled 10 to 6 computations (40% saved)

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
26.0ms	8.584915419576227e-7	11215.25794118092

Results

25.0ms

160×

body

256

valid

Compiler

Compiled 104 to 80 computations (23.1% saved)

regimes13.0ms (0.2%)

Accuracy

Total -5.5b remaining (-20.6%)

Threshold costs -5.5b (-20.6%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log1p.f64 x)

Outputs
x
(log1p.f64 x)

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
26.7b	2	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	8.584915419576227e-7	11215.25794118092

Results

19.0ms

160×

body

256

valid

Compiler

Compiled 84 to 60 computations (28.6% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
8×	`*-commutative`
4×	`sub-neg`
2×	`*-rgt-identity`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	450
1	76	450
2	83	450
3	85	450
4	86	450

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (.f64 x x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x))) 1)))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (-.f64 (.f64 2 x) (/.f64 -1/2 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3512807709348987/2251799813685248) x (log.f64 (+.f64 x 1)))
(if (<=.f64 x 3512807709348987/2251799813685248) x (log1p.f64 x))
x

Outputs
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (.f64 x x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (.f64 x x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (.f64 2 x))) 1)))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4728779608739021/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 x x)) (log.f64 (*.f64 x 2)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (-.f64 (.f64 2 x) (/.f64 -1/2 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (-.f64 (.f64 x 2) (/.f64 -1/2 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (/.f64 1/2 x)))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5674535530486825/4503599627370496) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3512807709348987/2251799813685248) x (log.f64 (+.f64 x 1)))
(if (<=.f64 x 3512807709348987/2251799813685248) x (log1p.f64 x))
x

Compiler

Compiled 186 to 133 computations (28.5% saved)

soundness124.0ms (1.5%)

Algorithm

4×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	10	23
1	16	17
2	17	17
0	10	23
1	16	17
2	17	17
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 223 to 171 computations (23.3% saved)

end103.0ms (1.3%)

Compiler: Compiled 177 to 118 computations (33.3% saved)