Details

analyze89.0ms (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 (34.1%)

Results

1.3s	2539×	body	1024	valid
743.0ms	1258×	body	2048	valid
414.0ms	3166×	body	256	valid
403.0ms	1242×	body	512	valid
134.0ms	51×	body	4096	valid

Bogosity

preprocess20.0ms (0.2%)

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)

prune2.0ms (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

45.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	45.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.8b	(+.f64 x (hypot.f64 1 x))
✓	3.6b	(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))

rewrite66.0ms (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))))))

simplify89.0ms (1%)

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))

eval42.0ms (0.5%)

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

prune23.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	129	8	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	9	138

Error

0.0b

Counts

138 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	45.4b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
▶	34.9b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	41.3b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶	44.5b	(log.f64 (/.f64 -1/2 x))
▶	48.1b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	48.6b	(log.f64 (+.f64 x x))
	45.1b	(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))))
	33.3b	x

Compiler

Compiled 123 to 94 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)

rewrite59.0ms (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)))))))

simplify70.0ms (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)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize15.0ms (0.2%)

Compiler: Compiled 35 to 27 computations (22.9% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	1.3b	(-.f64 (hypot.f64 1 x) x)
✓	3.6b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1874×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	187	53
2	2344	53

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
914×	`associate-*r/`
722×	`+-commutative`
698×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	305	3606
1	835	3258
2	3314	3258

Stop Event

1×	node limit

Counts

130 → 219

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

eval102.0ms (1.1%)

Compiler: Compiled 3961 to 3012 computations (24% saved)

prune56.0ms (0.6%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	272	4	276
Fresh	1	2	3
Picked	0	1	1
Done	0	5	5
Total	273	12	285

Error

Counts

285 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.6b	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
▶	45.4b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
✓	34.9b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	51.3b	(+.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
▶	41.2b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	41.3b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶	43.7b	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	44.5b	(log.f64 (/.f64 -1/2 x))
✓	48.1b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	48.6b	(log.f64 (+.f64 x x))
	33.3b	x

Compiler

Compiled 167 to 131 computations (21.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.3b	(-.f64 (hypot.f64 1 x) x)
✓	3.5b	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1610×	`*-un-lft-identity`
1496×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	17
2	1967	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1066×	`distribute-lft-in`
896×	`associate-r`
862×	`distribute-rgt-in`
850×	`associate-+l-`
746×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	993
1	285	897
2	974	897
3	4199	897

Stop Event

1×	node limit

Counts

33 → 76

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.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)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.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 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))

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

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))

Compiler

Compiled 37 to 28 computations (24.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-*r/`
906×	`*-commutative`
722×	`associate-*l/`
612×	`associate-/r*`
410×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	221	21
2	2770	21

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def`
1010×	`*-commutative`
958×	`associate-*r/`
866×	`associate-/l*`
730×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3342
1	634	3098
2	2184	3028
3	7971	3028

Stop Event

1×	node limit

Counts

62 → 114

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (.f64 x -2)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (/.f64 1/2 x)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (*.f64 x -2)))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (*.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 x (/.f64 -1 x))))
(+.f64 (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(+.f64 (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(+.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(*.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(.f64 (/.f64 1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (+.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x)))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (.f64 x -2)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x)))) (/.f64 1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (/.f64 1/2 x)) (.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (*.f64 x -2)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (.f64 x x))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 4 (*.f64 x x))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x)))) (.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (*.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x (/.f64 -1 x) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (.f64 (.f64 x -2) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(+.f64 (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 4 (.f64 x x)) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (.f64 (.f64 x (/.f64 -1 x)) (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (*.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x (/.f64 -1 x) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 1 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)))
(.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (/.f64 1 (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(pow.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -2)
(pow.f64 (sqrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2)) (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))
(/.f64 (/.f64 1 (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 1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (+.f64 (/.f64 -1/2 x) (*.f64 x 2)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (.f64 x -2)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (.f64 -2 x)))))
(/.f64 (fma.f64 (/.f64 -1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)) (.f64 x (.f64 x 4))) (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)) -1/2) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 x (.f64 x 4) (/.f64 -1/4 (*.f64 x x))))) (sqrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(.f64 (/.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -1/2) (sqrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
(.f64 (/.f64 -1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(.f64 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 4 (.f64 x x) (/.f64 -1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 x (.f64 x 4) (/.f64 -1/4 (*.f64 x x))))) (cbrt.f64 (fma.f64 -2 x (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))) (cbrt.f64 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (*.f64 x 4)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) -2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (.f64 64 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 (.f64 -1/8 (/.f64 1/8 (pow.f64 x 3))) (pow.f64 x 3)))) (fma.f64 -8 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (*.f64 x 4))) (fma.f64 64 (pow.f64 x 6) (/.f64 (/.f64 -1/64 (pow.f64 x 3)) (pow.f64 x 3)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6)))) (fma.f64 (pow.f64 x 3) -8 (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (.f64 -512 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 64 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 -8 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (/.f64 (fma.f64 -512 (pow.f64 (pow.f64 x 3) 3) (/.f64 -1/512 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -8 (/.f64 1/8 (pow.f64 x 3))) (*.f64 64 (pow.f64 x 6)))))
(.f64 (/.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 -512 (pow.f64 (pow.f64 x 3/2) 6) (/.f64 -1/512 (pow.f64 (pow.f64 x 3/2) 6)))) (fma.f64 64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3)) (/.f64 1/64 (pow.f64 x 6)))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 16 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (.f64 x (pow.f64 x 3)) (/.f64 -1/8 (.f64 x (.f64 2 (pow.f64 x 3))))) (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (pow.f64 x 4) (/.f64 -1/16 (pow.f64 x 4))) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (+.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (/.f64 1/64 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 16 (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6)))) (fma.f64 (/.f64 1/4 (.f64 x x)) (fma.f64 4 (.f64 x x) (/.f64 1/4 (.f64 x x))) (.f64 16 (.f64 x (pow.f64 x 3)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6))) (fma.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x (.f64 x 4) (/.f64 (/.f64 1/4 x) x)) (.f64 16 (pow.f64 x 4)))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3)))
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓	0.3b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
	1.8b	(+.f64 x (hypot.f64 1 x))
	3.6b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series11.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms	x	@	inf	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms	x	@	-inf	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

rewrite126.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1942×	`add-sqr-sqrt`
1912×	`*-un-lft-identity`
1798×	`add-cube-cbrt`
1780×	`add-cbrt-cube`
190×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	224	38
2	2464	38

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-/r*`
1190×	`distribute-lft-in`
1186×	`distribute-rgt-in`
1108×	`+-commutative`
706×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	5354
1	973	4730
2	3488	4712

Stop Event

1×	node limit

Counts

64 → 115

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (.f64 (pow.f64 x 6) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 6)))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)))))))) (pow.f64 x 6))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))))))))))
(*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (*.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))))) (.f64 (/.f64 (+.f64 (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 4)) (pow.f64 (*.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 6))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (.f64 (/.f64 (+.f64 (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 6)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3))) (+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (.f64 (/.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))))))) (pow.f64 x 6)) (pow.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (pow.f64 x 4))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 (/.f64 (+.f64 (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 4)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3) (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))) (pow.f64 x 4)) (pow.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 1/3)))))))))))
(pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)
(+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))
(+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (pow.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))) 1/3)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 2)) 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 1/3))))
(pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3)
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 0 (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)))))
(+.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 (+.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 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (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 (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 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (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)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (.f64 (cbrt.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 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (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)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(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 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))

Outputs
(.f64 (pow.f64 1 1/3) (+.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 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 (/.f64 1 (.f64 x x)) 1/4))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (.f64 (pow.f64 1 1/3) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (pow.f64 x 4) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 (pow.f64 (.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (/.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 1/3) (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))))) (.f64 1/144 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) 4)) 1/3))) (pow.f64 x 4))))))))
(+.f64 (+.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) (.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (pow.f64 x 4)))) (+.f64 (.f64 (/.f64 1 (.f64 x x)) 1/4) (fma.f64 1/72 (/.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))) (.f64 (/.f64 (fma.f64 -2/3 (.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))))) (.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))) 4))))) (pow.f64 x 4)) (cbrt.f64 (+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x)))))))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (fma.f64 -1/3 (/.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (.f64 x x)) (fma.f64 (/.f64 (fma.f64 -2/3 (.f64 (+.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 2) (log.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))) (.f64 1/144 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 4))))) (pow.f64 x 4)) (cbrt.f64 (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1/72 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (pow.f64 x 4))))))))
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(fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (*.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (.f64 -1/12 (.f64 (/.f64 1 (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))))))
(+.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (.f64 x x)) (.f64 (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))))))
(+.f64 (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 1/3 (*.f64 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))))
(+.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) 5/96) (.f64 -1/6 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (.f64 -1/12 (.f64 (/.f64 1 (.f64 x x)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))))))))
(+.f64 (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (+.f64 (/.f64 (-.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (fma.f64 -1/6 (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 5/96)) (pow.f64 x 6)) (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)))) (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (*.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))))
(+.f64 (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2))) (.f64 x x)) (cbrt.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)))) (+.f64 (/.f64 (+.f64 3/32 (/.f64 -1/48 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (pow.f64 x 4)) (/.f64 (+.f64 (/.f64 1/1728 (pow.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) 2)) (-.f64 -5/96 (/.f64 (+.f64 -1/64 (/.f64 1/288 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))))) (pow.f64 x 6)))))
(+.f64 0 (log.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)))))
(*.f64 2 (log.f64 (sqrt.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 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.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 (-.f64 (*.f64 x x) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (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 (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 (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 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (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)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (.f64 (cbrt.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 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6)) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(fabs.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 0)))
(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))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
(log.f64 (+.f64 (+.f64 x (hypot.f64 1 x)) 0))
(log.f64 (+.f64 (hypot.f64 1 x) (-.f64 x 0)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/3)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/6) 2)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
✓	0.3b	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
	1.3b	(-.f64 (hypot.f64 1 x) x)
	3.5b	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 43 to 31 computations (27.9% saved)

series14.0ms (0.2%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
1.0ms	x	@	inf	(cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`*-commutative`
696×	`unswap-sqr`
546×	`associate-*r/`
482×	`swap-sqr`
414×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	249	38
2	2842	38

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x 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(log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))))

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1354×	`+-commutative`
1042×	`associate-r`
846×	`associate-l`
762×	`associate-+r-`
706×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	10919
1	1530	8861
2	6326	8861

Stop Event

1×	node limit

Counts

171 → 242

Calls

Call 1

Inputs
(.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 -1/72 (.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 1/3) (.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/144 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 4)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 4))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))))))
(+.f64 (.f64 1/18 (.f64 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 6))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 1/3) (.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/144 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 4)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))))) (pow.f64 x 6)))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 1/3) (.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/144 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 4)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 4))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))))))) (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 4)) 1/3) (.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 x 6))) (+.f64 (.f64 -1/72 (.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))))))))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (.f64 -1 (.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 4))))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (.f64 (.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3))) (.f64 1/144 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 4)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 4))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)) (pow.f64 1 1/3))) (.f64 -1 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))))))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/18 (.f64 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 6))) (pow.f64 1 1/3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 4))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2))))) (pow.f64 x 6)))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3) (.f64 (pow.f64 (cbrt.f64 -1) 2) (-.f64 5/96 (+.f64 (.f64 -1/6 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2)))))))) (.f64 -1/18 (.f64 (.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 4)) 1/3))))) (pow.f64 x 6))) (+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (.f64 (.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3))) (.f64 1/144 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 4)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 4))) (+.f64 (.f64 1/3 (.f64 (/.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)) (pow.f64 1 1/3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -2/3 (.f64 (.f64 (+.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3))) (.f64 1/144 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 4)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 6)))) (.f64 -1 (.f64 (pow.f64 1 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))))))))))))
(.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (cbrt.f64 -1))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (cbrt.f64 -1)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (cbrt.f64 -1)) (pow.f64 x 4))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/1728 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2))) (+.f64 5/96 (.f64 -1/6 (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))))) (pow.f64 x 6)))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (cbrt.f64 -1) (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)) 1/3) (/.f64 (.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (cbrt.f64 -1)) (pow.f64 x 4)))))))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) 1/3) (cbrt.f64 -1))
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(/.f64 (+.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (*.f64 1 (+.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (*.f64 -1 (+.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0))
(/.f64 (*.f64 0 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (*.f64 0 (+.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (*.f64 (+.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) 1) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) -1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (*.f64 (+.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3)) -1) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) -1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) 3)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0)) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (neg.f64 (+.f64 0 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))) (+.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2) 0))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (hypot.f64 1 x) (+.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (hypot.f64 1 x) (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (.f64 (pow.f64 -1 1/6) (pow.f64 -1 1/6)))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))
(*.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) (neg.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 -1 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3/2))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6)) (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (neg.f64 (*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))))
(.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 -1 1/6)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6)))
(.f64 (neg.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)))
(.f64 (neg.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 -1 1/6))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2/3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))

Outputs
(.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3)))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(neg.f64 (-.f64 (log.f64 1/2) (log.f64 x)))
(+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2))))))
(fma.f64 1/12 (/.f64 1 (.f64 x x)) (fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (.f64 (/.f64 1 (*.f64 x x)) 1/6)))
(+.f64 (/.f64 1/12 (.f64 x x)) (-.f64 (/.f64 1/6 (.f64 x x)) (-.f64 (log.f64 1/2) (log.f64 x))))
(-.f64 (/.f64 1/6 (.f64 x x)) (-.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 1/12 (.f64 x x))))
(+.f64 (.f64 -1/72 (.f64 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 4))) (pow.f64 1 1/3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 1) 1/3) (/.f64 (.f64 (cbrt.f64 -1) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) 1/3) (.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/144 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 4)) 1/3) (pow.f64 (cbrt.f64 -1) 2))))) (pow.f64 x 4))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 3/32 (.f64 1/48 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (pow.f64 x 4)))) (+.f64 (.f64 -1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 1 1/3))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 x 2)))))))))
(fma.f64 -1/72 (/.f64 1 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (pow.f64 x 4))) (fma.f64 1/12 (/.f64 1 (.f64 x x)) (fma.f64 (cbrt.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 x 4) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (pow.f64 (cbrt.f64 -1) 2))) (.f64 1/144 (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 4)))))))) (+.f64 (fma.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (.f64 (/.f64 1 (.f64 x x)) 1/6)) (*.f64 -1/3 (/.f64 (-.f64 3/32 (/.f64 1/48 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (pow.f64 x 4)))))))
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(neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(.f64 (neg.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (neg.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 1/6) (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)))
(.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))) (*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (neg.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(.f64 (neg.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 -1 1/6))) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 -1 1/6))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (neg.f64 (cbrt.f64 -1)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))))
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))) (*.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6)) (cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6))))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/3)
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2/3)
(.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (*.f64 (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6) (pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/6))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) 2)
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(fabs.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.3b	(-.f64 (hypot.f64 1 x) x)
✓	3.6b	(log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))
✓	3.6b	(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
✓	9.7b	(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))

Compiler

Compiled 78 to 58 computations (25.6% saved)

series5.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

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

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`*-commutative`
768×	`associate-*r/`
622×	`swap-sqr`
498×	`associate-*l/`
472×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	282	75
2	3388	73

Stop Event

1×	node limit

Counts

3 → 186

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2))
(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 -1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) (pow.f64 1 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 x x) (*.f64 x (+.f64 x (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 x x) (*.f64 x x))))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) -1)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (cbrt.f64 (-.f64 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simplify142.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

992×	`distribute-rgt-in`
940×	`distribute-lft-in`
858×	`associate-*r/`
838×	`associate-/l/`
702×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	4294974908
1	1103	7212
2	3751	7194

Stop Event

1×	node limit

Counts

198 → 266

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (.f64 2/3 x) (+.f64 1 (.f64 2/9 (pow.f64 x 2))))
(+.f64 (.f64 2/3 x) (+.f64 1 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 -5/81 (pow.f64 x 3)))))
(*.f64 1/3 x)
(+.f64 (.f64 1/3 x) (.f64 -1/18 (pow.f64 x 3)))
(+.f64 (.f64 1/40 (pow.f64 x 5)) (+.f64 (.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(+.f64 (.f64 -5/336 (pow.f64 x 7)) (+.f64 (.f64 1/40 (pow.f64 x 5)) (+.f64 (.f64 1/3 x) (.f64 -1/18 (pow.f64 x 3)))))
(*.f64 2/3 x)
(+.f64 (.f64 -1/9 (pow.f64 x 3)) (.f64 2/3 x))
(+.f64 (.f64 -1/9 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/20 (pow.f64 x 5))))
(+.f64 (.f64 -1/9 (pow.f64 x 3)) (+.f64 (.f64 -5/168 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/20 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))
(.f64 1 (.f64 (/.f64 -1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 -1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1)
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(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -1)
(*.f64 2 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2)))
(*.f64 -1 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 1/3 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (neg.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (-.f64 0 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)) (+.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 0))
(/.f64 (.f64 1 (-.f64 0 (pow.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (.f64 1 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))) (+.f64 (pow.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 0))
(/.f64 (.f64 (-.f64 0 (pow.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)) 1) (+.f64 (pow.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) 0))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) 1/3) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))) (cbrt.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(neg.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 0)
(+.f64 0 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) (+.f64 (log.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2)) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4)))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))))
(+.f64 (+.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))) (log.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))))
(+.f64 (+.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2)))
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4))))) (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))))
(+.f64 (.f64 1 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4))))) (.f64 1 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)))))
(+.f64 (.f64 1/3 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))) (.f64 1/3 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (.f64 1/3 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4)))) (.f64 1/3 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))
(+.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4)))) 1) (.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 1))
(+.f64 (.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1/3) (.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) 1/3))
(+.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4))) 1/3) (.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 1/3))
(-.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 0 (-.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log1p.f64 -2) (-.f64 (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (-.f64 1 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2))) 1)
(-.f64 (+.f64 (*.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 -2)) (log.f64 (neg.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (+.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (exp.f64 (log1p.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))) 1)
(.f64 1 (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2))
(.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))
(.f64 (sqrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (sqrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) 2) (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))
(.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (+.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (pow.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (+.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)
(.f64 2 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 -1 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
(.f64 (.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3)
(.f64 1/3 (.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 3) 1/3)
(neg.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 2))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))
(exp.f64 (log.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1))

Outputs
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (.f64 2/3 x) (+.f64 1 (.f64 2/9 (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 x 1) (.f64 2/9 (.f64 x x)))
(fma.f64 2/3 x (fma.f64 2/9 (*.f64 x x) 1))
(+.f64 (.f64 2/3 x) (+.f64 1 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 -5/81 (pow.f64 x 3)))))
(+.f64 (fma.f64 2/3 x 1) (fma.f64 2/9 (.f64 x x) (.f64 -5/81 (pow.f64 x 3))))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (.f64 1/3 x) (.f64 -1/18 (pow.f64 x 3)))
(fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/18))
(fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/18))
(+.f64 (.f64 1/40 (pow.f64 x 5)) (+.f64 (.f64 1/3 x) (*.f64 -1/18 (pow.f64 x 3))))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/18)))
(fma.f64 1/40 (pow.f64 x 5) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/18)))
(+.f64 (.f64 -5/336 (pow.f64 x 7)) (+.f64 (.f64 1/40 (pow.f64 x 5)) (+.f64 (.f64 1/3 x) (.f64 -1/18 (pow.f64 x 3)))))
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 1/3 x (*.f64 (pow.f64 x 3) -1/18))))
(fma.f64 -5/336 (pow.f64 x 7) (fma.f64 1/40 (pow.f64 x 5) (fma.f64 x 1/3 (*.f64 (pow.f64 x 3) -1/18))))
(*.f64 2/3 x)
(+.f64 (.f64 -1/9 (pow.f64 x 3)) (.f64 2/3 x))
(fma.f64 -1/9 (pow.f64 x 3) (*.f64 2/3 x))
(fma.f64 2/3 x (*.f64 (pow.f64 x 3) -1/9))
(fma.f64 (pow.f64 x 3) -1/9 (*.f64 2/3 x))
(+.f64 (.f64 -1/9 (pow.f64 x 3)) (+.f64 (.f64 2/3 x) (*.f64 1/20 (pow.f64 x 5))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/20)))
(fma.f64 (pow.f64 x 3) -1/9 (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/20)))
(fma.f64 (pow.f64 x 3) -1/9 (fma.f64 (pow.f64 x 5) 1/20 (*.f64 2/3 x)))
(+.f64 (.f64 -1/9 (pow.f64 x 3)) (+.f64 (.f64 -5/168 (pow.f64 x 7)) (+.f64 (.f64 2/3 x) (.f64 1/20 (pow.f64 x 5)))))
(fma.f64 -1/9 (pow.f64 x 3) (fma.f64 -5/168 (pow.f64 x 7) (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/20))))
(fma.f64 (pow.f64 x 3) -1/9 (fma.f64 (pow.f64 x 7) -5/168 (fma.f64 2/3 x (*.f64 (pow.f64 x 5) 1/20))))
(fma.f64 (pow.f64 x 3) -1/9 (fma.f64 (pow.f64 x 7) -5/168 (fma.f64 (pow.f64 x 5) 1/20 (*.f64 2/3 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 1 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(.f64 1 (.f64 (/.f64 -1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 -1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) (pow.f64 1 1/3))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -1/2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)
(*.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) (/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2)) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) -4))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (+.f64 (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (cbrt.f64 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))))
(*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(.f64 2 (.f64 -1/3 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 -1 (.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
(*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1/3)
(*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 1/3 (.f64 -2 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 1)
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) 2)
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)) 3)
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 3) 1/3)
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(neg.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2/3))
(*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 2))
(sqrt.f64 (pow.f64 (*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(fabs.f64 (*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2) 3))
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) -2)))
(*.f64 -2 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) 1))
(log1p.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) -2) -1))

eval923.0ms (10.4%)

Compiler: Compiled 38605 to 30878 computations (20% saved)

prune359.0ms (4%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1365	5	1370
Fresh	0	1	1
Picked	1	0	1
Done	3	7	10
Total	1369	13	1382

Error

Counts

1382 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.6b	(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
✓	34.9b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	41.3b	(+.f64 (*.f64 -2/3 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
▶	41.3b	(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
✓	41.2b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
▶	43.7b	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
▶	42.4b	(neg.f64 (exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
▶	18.8b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	44.5b	(log.f64 (/.f64 -1/2 x))
✓	48.1b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	48.6b	(log.f64 (+.f64 x x))
	33.3b	x

Compiler

Compiled 175 to 137 computations (21.7% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	1.0b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	1.6b	(-.f64 (hypot.f64 1 x) 1)
✓	2.6b	(+.f64 x (-.f64 (hypot.f64 1 x) 1))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	0	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
0.0ms	x	@	0	(+.f64 x (-.f64 (hypot.f64 1 x) 1))
0.0ms	x	@	0	(-.f64 (hypot.f64 1 x) 1)

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

966×	`associate-*r/`
812×	`*-commutative`
672×	`unswap-sqr`
658×	`associate-*l/`
600×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	195	55
2	2557	49

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs
(+.f64 x (-.f64 (hypot.f64 1 x) 1))
(-.f64 (hypot.f64 1 x) 1)
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

Outputs

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

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

simplify143.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-r`
620×	`associate-l`
592×	`distribute-lft-in`
586×	`associate-+l-`
540×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	11306
1	1750	10628
2	7611	10628

Stop Event

1×	node limit

Counts

226 → 379

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 34 to 25 computations (26.5% saved)

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
0.0ms	x	@	0	(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))
0.0ms	x	@	-inf	(log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`associate-*r/`
920×	`*-commutative`
664×	`unswap-sqr`
570×	`associate-*l/`
552×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	216	19
2	2721	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-r`
1102×	`distribute-lft-in`
948×	`associate-+l-`
914×	`associate-l`
898×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1910
1	382	1646
2	1129	1638
3	4833	1638

Stop Event

1×	node limit

Counts

48 → 98

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 (*.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 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.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 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 0 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (.f64 1 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 1))
(-.f64 (log.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3)))) (log.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (log.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 (/.f64 -1/4 x) x))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) 1)
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (log.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(-.f64 (+.f64 0 (log.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 (/.f64 -1/4 x) x)))) (log.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) 1)
(*.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(*.f64 1 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2))))
(.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))))
(pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log1p.f64 (-.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 1))

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

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
	1.3b	(-.f64 (hypot.f64 1 x) x)
✓	3.6b	(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite71.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`add-sqr-sqrt`
1760×	`*-un-lft-identity`
1636×	`add-cube-cbrt`
1620×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	178	38
2	2189	38

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))

Outputs

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

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-r`
1092×	`associate-+r+`
992×	`associate-l`
982×	`associate-+l+`
872×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1323
1	299	1271
2	996	1261
3	4678	1261

Stop Event

1×	node limit

Counts

55 → 79

Calls

Call 1

Inputs
(*.f64 -1/2 x)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 -1/2 x))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -3/80 (pow.f64 x 5))))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 5/224 (pow.f64 x 7)) (.f64 -3/80 (pow.f64 x 5)))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(+.f64 0 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2) 1/3)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(fabs.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))

Outputs
(*.f64 -1/2 x)
(+.f64 (.f64 1/12 (pow.f64 x 3)) (.f64 -1/2 x))
(fma.f64 1/12 (pow.f64 x 3) (*.f64 -1/2 x))
(fma.f64 -1/2 x (*.f64 1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (*.f64 -3/80 (pow.f64 x 5))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 -3/80 (pow.f64 x 5))))
(fma.f64 -1/2 x (fma.f64 1/12 (pow.f64 x 3) (*.f64 -3/80 (pow.f64 x 5))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -3/80 (pow.f64 x 5) (*.f64 -1/2 x)))
(+.f64 (.f64 1/12 (pow.f64 x 3)) (+.f64 (.f64 -1/2 x) (+.f64 (.f64 5/224 (pow.f64 x 7)) (.f64 -3/80 (pow.f64 x 5)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 5/224 (pow.f64 x 7) (*.f64 -3/80 (pow.f64 x 5)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -3/80 (pow.f64 x 5) (*.f64 5/224 (pow.f64 x 7)))))
(fma.f64 1/12 (pow.f64 x 3) (fma.f64 -3/80 (pow.f64 x 5) (fma.f64 5/224 (pow.f64 x 7) (*.f64 -1/2 x))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 -1/2 x 1) (.f64 (pow.f64 x 3) 1/16)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x (fma.f64 (pow.f64 x 3) 1/16 1)))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) 1/16 1)))
(+.f64 0 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)) (log.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4)))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1/2 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (fabs.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (sqrt.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (+.f64 (.f64 x x) (.f64 x (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 (+.f64 x x) (hypot.f64 1 x)) 1)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1/2)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/4) 2)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(fabs.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/2))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (-.f64 (hypot.f64 1 x) x))

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	0.4b	(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
	1.3b	(-.f64 (hypot.f64 1 x) x)
	3.5b	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 41 to 29 computations (29.3% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
1.0ms	x	@	-inf	(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
0.0ms	x	@	0	(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
0.0ms	x	@	0	(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`add-sqr-sqrt`
1748×	`*-un-lft-identity`
1622×	`add-cube-cbrt`
1604×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	186	38
2	2156	38

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))

Outputs

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

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

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1136×	`fma-def`
1022×	`associate-+l-`
878×	`associate-+r-`
698×	`distribute-lft-in`
658×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	2741
1	582	2553
2	2093	2545
3	7208	2545

Stop Event

1×	node limit

Counts

67 → 136

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(+.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)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))
(+.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 -1) (log.f64 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (log.f64 -1) (log.f64 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (.f64 11/180 (pow.f64 x 4)) (log.f64 x))))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (.f64 11/180 (pow.f64 x 4)) (+.f64 (*.f64 -191/5670 (pow.f64 x 6)) (log.f64 x)))))
(log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4))) (log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3))))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4))) (log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 2)))))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 2)))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2))) (.f64 9/4 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 75/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3))) (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 2)))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2))) (.f64 9/4 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4))))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(+.f64 0 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(*.f64 1 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(*.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (log.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log1p.f64 (-.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x)))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -3/40 (pow.f64 x 5))) x)
(+.f64 (.f64 5/112 (pow.f64 x 7)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 -1 x) (.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -3/40 (pow.f64 x 5)))))
(fma.f64 5/112 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -3/40 (pow.f64 x 5) (neg.f64 x))))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -3/40 (pow.f64 x 5) (*.f64 5/112 (pow.f64 x 7))) x))
(+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 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 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 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 (neg.f64 (log.f64 x)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -5/96 (pow.f64 x 6)))))
(+.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 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 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 3/32 (/.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 3/32 (pow.f64 x 4)))
(+.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 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 (+.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (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 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (-.f64 (-.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 -1) (log.f64 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (log.f64 -1) (log.f64 x)))
(fma.f64 -1/6 (*.f64 x x) (+.f64 (log.f64 -1) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 (*.f64 x x) -1/6 (log.f64 -1)))
(+.f64 (log.f64 -1) (fma.f64 x (*.f64 x -1/6) (log.f64 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (.f64 11/180 (pow.f64 x 4)) (log.f64 x))))
(fma.f64 -1/6 (*.f64 x x) (+.f64 (log.f64 -1) (fma.f64 11/180 (pow.f64 x 4) (log.f64 x))))
(+.f64 (fma.f64 (pow.f64 x 4) 11/180 (log.f64 x)) (fma.f64 (*.f64 x x) -1/6 (log.f64 -1)))
(+.f64 (log.f64 -1) (fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 4) 11/180 (log.f64 x))))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (log.f64 -1) (+.f64 (.f64 11/180 (pow.f64 x 4)) (+.f64 (*.f64 -191/5670 (pow.f64 x 6)) (log.f64 x)))))
(fma.f64 -1/6 (*.f64 x x) (+.f64 (log.f64 -1) (fma.f64 11/180 (pow.f64 x 4) (fma.f64 -191/5670 (pow.f64 x 6) (log.f64 x)))))
(+.f64 (fma.f64 (pow.f64 x 4) 11/180 (fma.f64 (pow.f64 x 6) -191/5670 (log.f64 x))) (fma.f64 (*.f64 x x) -1/6 (log.f64 -1)))
(+.f64 (fma.f64 (pow.f64 x 6) -191/5670 (log.f64 x)) (fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 4) 11/180 (log.f64 -1))))
(log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))
(log.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))
(log.f64 (-.f64 (log.f64 1/2) (log.f64 x)))
(-.f64 (log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (/.f64 1/4 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (.f64 x x))))
(-.f64 (log.f64 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 (/.f64 1/4 (-.f64 (log.f64 1/2) (log.f64 x))) (*.f64 x x)))
(+.f64 (log.f64 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -1/4 (.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (.f64 x x))))
(-.f64 (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4))) (log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/24 (/.f64 (-.f64 (/.f64 9/4 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)))) (/.f64 1/4 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (.f64 x x))))
(+.f64 (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -3/4 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2))) (pow.f64 x 4)) (log.f64 (-.f64 (log.f64 1/2) (log.f64 x)))) (/.f64 -1/4 (.f64 x (.f64 x (-.f64 (log.f64 1/2) (log.f64 x))))))
(+.f64 (+.f64 (log.f64 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -1/4 (.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (.f64 x x)))) (/.f64 (+.f64 (/.f64 3/32 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -1/32 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2))) (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/720 (/.f64 (-.f64 (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2))) (+.f64 (.f64 75/2 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 3))))) (pow.f64 x 6))) (+.f64 (.f64 1/24 (/.f64 (-.f64 (.f64 9/4 (/.f64 1 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)))) (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) 2)))) (pow.f64 x 4))) (log.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2))))) (.f64 1/4 (/.f64 1 (*.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 1/2)) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/720 (/.f64 (-.f64 (/.f64 135/8 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2)) (+.f64 (/.f64 75/2 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (/.f64 15/4 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 3)))) (pow.f64 x 6)) (fma.f64 1/24 (/.f64 (-.f64 (/.f64 9/4 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))) (/.f64 3/4 (pow.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) 2))) (pow.f64 x 4)) (log.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))))) (/.f64 1/4 (.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2)) (.f64 x x))))
(+.f64 (fma.f64 1/720 (/.f64 (-.f64 (/.f64 135/8 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2)) (+.f64 (/.f64 75/2 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 15/4 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)))) (pow.f64 x 6)) (fma.f64 1/24 (/.f64 (+.f64 (/.f64 9/4 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -3/4 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2))) (pow.f64 x 4)) (log.f64 (-.f64 (log.f64 1/2) (log.f64 x))))) (/.f64 -1/4 (.f64 x (.f64 x (-.f64 (log.f64 1/2) (log.f64 x))))))
(+.f64 (log.f64 (-.f64 (log.f64 1/2) (log.f64 x))) (+.f64 (fma.f64 1/720 (/.f64 (+.f64 (/.f64 135/8 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2)) (-.f64 (/.f64 -75/2 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 15/4 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 3)))) (pow.f64 x 6)) (/.f64 (+.f64 (/.f64 3/32 (-.f64 (log.f64 1/2) (log.f64 x))) (/.f64 -1/32 (pow.f64 (-.f64 (log.f64 1/2) (log.f64 x)) 2))) (pow.f64 x 4))) (/.f64 -1/4 (.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (.f64 x x)))))
(log.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))
(log.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))
(log.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 2)))))
(+.f64 (log.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (/.f64 1/4 (.f64 (.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))))
(+.f64 (log.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 1/4 (.f64 x (.f64 x (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))))))
(+.f64 (log.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 1/4 (.f64 (.f64 x x) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 2)))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2))) (.f64 9/4 (/.f64 1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (.f64 (.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))) (+.f64 (log.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (*.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2)) (/.f64 9/4 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))) (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (.f64 x (.f64 x (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))))) (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2)) (/.f64 9/4 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)) (log.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/4 (.f64 (.f64 x x) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (/.f64 (+.f64 (/.f64 -1/32 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -3/32 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4))))
(+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 75/2 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)))) (+.f64 (.f64 15/4 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 3))) (.f64 135/8 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) (pow.f64 x 2)))) (+.f64 (log.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))) (.f64 -1/24 (/.f64 (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2)) 2))) (.f64 9/4 (/.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 2))))) (pow.f64 x 4))))))
(fma.f64 1/720 (/.f64 (+.f64 (/.f64 75/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (+.f64 (/.f64 15/4 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 3)) (/.f64 135/8 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2)))) (pow.f64 x 6)) (+.f64 (/.f64 1/4 (.f64 (.f64 x x) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))) (+.f64 (log.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2))) (*.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)) 2)) (/.f64 9/4 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 2)))) (pow.f64 x 4))))))
(+.f64 (fma.f64 -1/24 (/.f64 (+.f64 (/.f64 3/4 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2)) (/.f64 9/4 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)) (log.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (fma.f64 1/720 (/.f64 (+.f64 (/.f64 75/2 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 15/4 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 3)) (/.f64 135/8 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2)))) (pow.f64 x 6)) (/.f64 1/4 (.f64 x (.f64 x (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))))))
(+.f64 (/.f64 (+.f64 (/.f64 -1/32 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2)) (/.f64 -3/32 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (pow.f64 x 4)) (+.f64 (+.f64 (log.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))) (/.f64 1/4 (.f64 (.f64 x x) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))))) (/.f64 (fma.f64 1/720 (+.f64 (/.f64 15/4 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 3)) (/.f64 135/8 (pow.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) 2))) (/.f64 5/96 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))))
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log1p.f64 (*.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(log.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (E.f64) (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)) (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (-.f64 (-.f64 (hypot.f64 1 x) x) 1)))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(log.f64 (-.f64 (hypot.f64 1 x) x))
(+.f64 0 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (log.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))) 1)
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2) (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1)
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 2)
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 3)
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3) 1/3)
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1))
(log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (-.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1))
(log1p.f64 (+.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) -1))
(log1p.f64 (+.f64 -1 (log.f64 (-.f64 (hypot.f64 1 x) x))))

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
	1.3b	(-.f64 (hypot.f64 1 x) x)
	3.5b	(log.f64 (-.f64 (hypot.f64 1 x) x))
	3.6b	(log.f64 (/.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))

Compiler

Compiled 67 to 49 computations (26.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`add-sqr-sqrt`
1614×	`*-un-lft-identity`
1510×	`add-cube-cbrt`
1494×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	160	17
2	1987	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))

Outputs

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1222×	`distribute-lft-in`
1130×	`distribute-rgt-in`
964×	`fma-def`
856×	`*-commutative`
486×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	595
1	176	555
2	517	547
3	1797	511
4	4848	511

Stop Event

1×	node limit

Counts

27 → 44

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/3 x))
(+.f64 1 (+.f64 (.f64 -1/3 x) (.f64 1/18 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1/3 x) (+.f64 (.f64 1/18 (pow.f64 x 2)) (*.f64 4/81 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(/.f64 (cbrt.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))

Outputs
1
(+.f64 1 (*.f64 -1/3 x))
(fma.f64 -1/3 x 1)
(+.f64 1 (+.f64 (.f64 -1/3 x) (.f64 1/18 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/3 x (.f64 1/18 (.f64 x x))))
(+.f64 (fma.f64 -1/3 x 1) (.f64 1/18 (.f64 x x)))
(fma.f64 -1/3 x (fma.f64 x (*.f64 x 1/18) 1))
(fma.f64 x (fma.f64 x 1/18 -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 x) (+.f64 (.f64 1/18 (pow.f64 x 2)) (*.f64 4/81 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -1/3 x (fma.f64 1/18 (.f64 x x) (.f64 4/81 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/3 x 1) (fma.f64 4/81 (pow.f64 x 3) (.f64 1/18 (.f64 x x))))
(+.f64 (fma.f64 -1/3 x 1) (.f64 (.f64 x x) (+.f64 1/18 (*.f64 x 4/81))))
(fma.f64 x (*.f64 x (fma.f64 x 4/81 1/18)) (fma.f64 -1/3 x 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/3) (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 1/6) 4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(/.f64 (cbrt.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 x x) (.f64 x x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 1 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x (hypot.f64 1 x)) (fma.f64 x x 1))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (+.f64 x (+.f64 x (hypot.f64 1 x))) 1)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (cbrt.f64 (fma.f64 x (fma.f64 2 x (hypot.f64 1 x)) 1)))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1/3)
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 1/6) 2)
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1/3))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (-.f64 (hypot.f64 1 x) x))

eval643.0ms (7.2%)

Compiler: Compiled 28711 to 22188 computations (22.7% saved)

prune327.0ms (3.7%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1309	2	1311
Fresh	0	1	1
Picked	1	0	1
Done	3	8	11
Total	1313	11	1324

Error

Counts

1324 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.9b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	41.2b	(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
✓	43.7b	(neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
	25.6b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓	18.8b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
	31.1b	(log1p.f64 x)
✓	44.5b	(log.f64 (/.f64 -1/2 x))
✓	48.1b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	45.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	48.6b	(log.f64 (+.f64 x x))
	33.3b	x

Compiler

Compiled 81 to 60 computations (25.9% saved)

regimes65.0ms (0.7%)

Counts

21 → 2

Calls

Call 1

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

Outputs
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))

Calls

3 calls:

26.0ms	x
18.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
9.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.5b	2	`x`
7.0b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.0b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 202 to 148 computations (26.7% saved)

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-7.738305517774226e-7	-2.5996600219000768e-11

Results

20.0ms

128×

body

256

valid

Compiler

Compiled 166 to 130 computations (21.7% saved)

regimes27.0ms (0.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 71 to 51 computations (28.2% saved)

bsearch54.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	6.476555372898505e-6	125.42238152540676
20.0ms	-0.07141241433745737	-1.2233441719192957e-5

Results

51.0ms

272×

body

256

valid

Compiler

Compiled 311 to 239 computations (23.2% saved)

regimes17.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 56 to 40 computations (28.6% saved)

bsearch35.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	6.476555372898505e-6	125.42238152540676
19.0ms	-12.612306441374958	-0.09285374845022668

Results

26.0ms

256×

body

256

valid

Compiler

Compiled 307 to 239 computations (22.1% saved)

regimes16.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 50 to 36 computations (28% saved)

bsearch41.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.476555372898505e-6	125.42238152540676
24.0ms	-12.612306441374958	-0.09285374845022668

Results

38.0ms

256×

body

256

valid

Compiler

Compiled 343 to 275 computations (19.8% saved)

regimes14.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	6.476555372898505e-6	125.42238152540676
13.0ms	-12.612306441374958	-0.09285374845022668

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 289 to 221 computations (23.5% saved)

regimes14.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(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:

13.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	6.476555372898505e-6	125.42238152540676
14.0ms	-12.612306441374958	-0.09285374845022668

Results

26.0ms

256×

body

256

valid

Compiler

Compiled 254 to 193 computations (24% saved)

regimes15.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(log1p.f64 x)
(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:

15.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	6.476555372898505e-6	125.42238152540676
16.0ms	-12.612306441374958	-0.09285374845022668

Results

29.0ms

256×

body

256

valid

Compiler

Compiled 158 to 113 computations (28.5% saved)

regimes11.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
19.0b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	6.476555372898505e-6	125.42238152540676

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 95 to 64 computations (32.6% saved)

regimes6.0ms (0.1%)

Accuracy

Total -5.7b remaining (-19.3%)

Threshold costs -5.7b (-19.3%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log1p.f64 x)

Outputs
x
(log1p.f64 x)

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
29.3b	2	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	6.476555372898505e-6	125.42238152540676

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
16×	`*-commutative`
14×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	514
1	90	514
2	103	514
3	109	514
4	111	514

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5289050460814003/9444732965739290427392) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -7378697629483821/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.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 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.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 5/4) (+.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 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log1p.f64 x))
x

Outputs
(if (<=.f64 x -5289050460814003/9444732965739290427392) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -5289050460814003/9444732965739290427392) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -7378697629483821/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -7378697629483821/9223372036854775808) (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 6640827866535439/9223372036854775808) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.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 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.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 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.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 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -4278419646001971/4503599627370496) (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.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 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log1p.f64 x))
x

Compiler

Compiled 206 to 148 computations (28.2% saved)

soundness155.0ms (1.7%)

Algorithm

5×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941
0	305	3606
1	835	3258
2	3314	3258
0	10	23
1	16	17
2	17	17
0	10	23
1	16	17
2	17	17

Stop Event

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

Compiler

Compiled 256 to 171 computations (33.2% saved)

end108.0ms (1.2%)

Compiler: Compiled 197 to 133 computations (32.5% saved)