Details

analyze91.0ms (0.7%)

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)

sample2.4s (19.2%)

Results

1.1s	2578×	body	1024	valid
569.0ms	1268×	body	2048	valid
342.0ms	3061×	body	256	valid
314.0ms	1295×	body	512	valid
31.0ms	54×	body	4096	valid

Bogosity

preprocess4.0ms (0%)

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)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

44.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 x (hypot.f64 1 x))
✓	3.3b	(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))

rewrite62.0ms (0.5%)

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

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

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`fma-def`
1166×	`associate-+r-`
842×	`times-frac`
608×	`associate-/r*`
552×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2351
1	557	2109
2	1995	1923
3	7988	1923

Stop Event

1×	node limit

Counts

81 → 131

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

eval41.0ms (0.3%)

Compiler: Compiled 1977 to 1462 computations (26% saved)

prune100.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	11	132

Error

0.0b

Counts

132 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.4b	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶	30.0b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
▶	30.3b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	50.0b	(+.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))))
	60.4b	(log.f64 (/.f64 (-.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
	49.8b	(log.f64 (/.f64 -1/2 x))
	49.5b	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
	50.0b	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
✓	44.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	47.3b	(log.f64 (*.f64 x 2))
	28.9b	x

Compiler

Compiled 229 to 178 computations (22.3% saved)

localize72.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -1/6 (pow.f64 x 3))
✓	0.3b	(*.f64 3/40 (pow.f64 x 5))
✓	18.3b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
0.0ms	x	@	0	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 3/40 (pow.f64 x 5))
0.0ms	x	@	0	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`associate-*r/`
1000×	`distribute-rgt-in`
966×	`distribute-lft-in`
838×	`associate-*l/`
296×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	300	55
2	3761	55

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 -1/6 (pow.f64 x 3))

Outputs
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3/40 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 3/40 (pow.f64 x 5))) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)) (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 3/40 (pow.f64 x 5))) (-.f64 (.f64 3/40 (pow.f64 x 5)) x))) (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (fma.f64 3/40 (pow.f64 x 5) x) (exp.f64 (log1p.f64 (.f64 -1/6 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 3/40 (pow.f64 x 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 3/40 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 3/40 (pow.f64 x 5))))))))
((#(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 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) 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 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 -1/6 (pow.f64 x 3))))))) (#(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))))))))

Outputs

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(2) ((x fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (fma.f64 3/40 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (*.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (*.f64 -1/6 (pow.f64 x 3))) (fma.f64 3/40 (pow.f64 x 5) x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3/40 (pow.f64 x 5))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))))))

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

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1010×	`associate-+l+`
942×	`associate-+r+`
858×	`+-commutative`
554×	`associate--r+`
552×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	316	9511
1	932	8489
2	5053	8489

Stop Event

1×	node limit

Counts

127 → 174

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 (fma.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 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 x)) 1) (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (*.f64 3/40 (pow.f64 x 5))) (expm1.f64 (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (.f64 3/40 (pow.f64 x 5)))) (-.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(-.f64 (/.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.f64 3/40 (pow.f64 x 5) x))) (/.f64 (.f64 (fma.f64 3/40 (pow.f64 x 5) x) (fma.f64 3/40 (pow.f64 x 5) x)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (fma.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 (.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 3/40 (pow.f64 x 5))) (-.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (/.f64 x (/.f64 (-.f64 (.f64 3/40 (pow.f64 x 5)) x) x)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 (.f64 9/1600 (.f64 (pow.f64 x 5) (pow.f64 x 5))) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) (.f64 (/.f64 x (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x))) x)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (fma.f64 -1/6 (pow.f64 x 3) (/.f64 (.f64 9/1600 (pow.f64 x 10)) (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))) (.f64 x (/.f64 x (fma.f64 3/40 (pow.f64 x 5) (neg.f64 x)))))
(-.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x)))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))) 1) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 5) x))))
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(cbrt.f64 (.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))))
(cbrt.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) (.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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))
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))) 1))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.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 -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 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 1 (*.f64 -1/6 (pow.f64 x 3)) (fma.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 1 (fma.f64 3/40 (pow.f64 x 5) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (fma.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 (.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x))) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 5) x)) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (fma.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 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5)))) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (*.f64 3/40 (pow.f64 x 5)) 1)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (sqrt.f64 (*.f64 3/40 (pow.f64 x 5))) 2)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 5))) 3)
(*.f64 3/40 (pow.f64 x 5))
(pow.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3) 1/3)
(*.f64 3/40 (pow.f64 x 5))
(sqrt.f64 (.f64 (.f64 3/40 (pow.f64 x 5)) (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (exp.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 5)))))
(*.f64 3/40 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (*.f64 3/40 (pow.f64 x 5)) 3))
(*.f64 3/40 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 5))) 1))
(*.f64 3/40 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(-.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 (sqrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (cbrt.f64 (*.f64 -1/6 (pow.f64 x 3))) 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 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (exp.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.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))

localize10.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	0.2b	(*.f64 -1/6 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite74.0ms (0.6%)

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	15
1	180	15
2	2169	15

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-/r/`
1166×	`associate-*r/`
838×	`*-commutative`
642×	`associate-/l*`
632×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	90	992
1	227	842
2	913	842
3	3927	842

Stop Event

1×	node limit

Counts

40 → 42

Calls

Call 1

Inputs
x
(*.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)
(-.f64 (/.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.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)) (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x))) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3)))) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))
(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 (.f64 (.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)) 1/3)
(sqrt.f64 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 -1/6 (pow.f64 x 3) x)))
(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 (.f64 (.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)))
(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 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.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 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (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 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(fma.f64 -1/6 (pow.f64 x 3) 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)) (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.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 x (fma.f64 1/36 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) (*.f64 1/36 (pow.f64 x 6)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (*.f64 x x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x))) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.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 x (fma.f64 1/36 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) (*.f64 1/36 (pow.f64 x 6)))))
(/.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.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 x (fma.f64 1/36 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) (*.f64 1/36 (pow.f64 x 6)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.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 x (fma.f64 1/36 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) (*.f64 1/36 (pow.f64 x 6)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3)))) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.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 x (fma.f64 1/36 (pow.f64 x 6) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3/2) 6) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) (*.f64 1/36 (pow.f64 x 6)))))
(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 (.f64 (.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)) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (*.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)
(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 (.f64 (.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 -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 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) 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 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.8b	(+.f64 x (hypot.f64 1 x))
	3.3b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	3.3b	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)

Compiler

Compiled 35 to 25 computations (28.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`associate-*r/`
964×	`associate-*l/`
878×	`distribute-lft-in`
876×	`*-commutative`
334×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	220	17
2	3056	17

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

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

Outputs

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

simplify98.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-/r/`
932×	`*-commutative`
828×	`associate-/l/`
782×	`+-commutative`
690×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	8539
1	881	7335
2	3642	7107

Stop Event

1×	node limit

Counts

107 → 182

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

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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))))
✓	0.1b	(/.f64 3/32 (pow.f64 x 4))
✓	0.5b	(/.f64 1/4 (*.f64 x x))
✓	13.3b	(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))

Compiler

Compiled 73 to 53 computations (27.4% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
2.0ms	x	@	-inf	(+.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))))
1.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
1.0ms	x	@	inf	(+.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))))
0.0ms	x	@	0	(/.f64 3/32 (pow.f64 x 4))

rewrite140.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`associate-/l*`
656×	`associate-+l+`
424×	`add-sqr-sqrt`
422×	`+-commutative`
406×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	432	116
2	5843	116

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
(/.f64 1/4 (*.f64 x x))
(/.f64 3/32 (pow.f64 x 4))
(+.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))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/32 (pow.f64 x 4)) (.f64 (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (.f64 (neg.f64 (/.f64 1/4 (.f64 x x))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x))) 1) (fma.f64 (neg.f64 (.f64 (/.f64 -1 x) (/.f64 -1 x))) 1/4 (/.f64 1/4 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x))) 1) (fma.f64 (neg.f64 (/.f64 1/4 (.f64 x x))) 1 (/.f64 1/4 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x))) 1) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/4 (.f64 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simplify146.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-+l+`
980×	`associate-+r+`
834×	`associate-r`
770×	`associate-l`
748×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	591	20618
1	1685	19444

Stop Event

1×	node limit

Counts

268 → 364

Calls

Call 1

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

Outputs
(/.f64 3/32 (pow.f64 x 4))
(-.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
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(fma.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) (cbrt.f64 (log.f64 (/.f64 -1 x)))) (cbrt.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (.f64 x x)))))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 -1 x))) (cbrt.f64 (log.f64 (/.f64 -1 x)))) (cbrt.f64 (log.f64 (/.f64 -1 x))) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (/.f64 1/4 (.f64 x x)) (log.f64 1/2))))
(fma.f64 (.f64 (cbrt.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x))))) (cbrt.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x)))))) (cbrt.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 1/2) (/.f64 1/4 (.f64 x x))))) (log.f64 (/.f64 -1 x)))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 1/2) (log.f64 -1))) (/.f64 -1/4 (*.f64 x x))))
(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 1/2))))

eval711.0ms (5.7%)

Compiler: Compiled 33751 to 25940 computations (23.1% saved)

prune279.0ms (2.3%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	903	4	907
Fresh	0	5	5
Picked	1	0	1
Done	0	5	5
Total	904	14	918

Error

Counts

918 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.4b	(/.f64 (-.f64 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
▶	61.2b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
✓	44.4b	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶	59.8b	(-.f64 (+.f64 1 x) 1)
	50.0b	(+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x))) (log.f64 (neg.f64 x))))
✓	30.0b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	30.3b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	60.4b	(log.f64 (/.f64 (-.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
	49.8b	(log.f64 (/.f64 -1/2 x))
	49.5b	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
▶	50.0b	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
✓	44.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	47.3b	(log.f64 (*.f64 x 2))
	28.9b	x

Compiler

Compiled 287 to 226 computations (21.3% saved)

localize45.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
	0.8b	(+.f64 x (hypot.f64 1 x))
✓	3.3b	(-.f64 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
	3.3b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 101 to 77 computations (23.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1354×	`associate-*r/`
1108×	`associate-*l/`
1070×	`*-commutative`
378×	`associate-+l+`
340×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	248	60
2	3447	60

Stop Event

1×	node limit

Counts

2 → 176

Calls

Call 1

Inputs

(-.f64 (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)

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

Outputs

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

simplify141.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

940×	`distribute-lft-in`
808×	`distribute-rgt-in`
730×	`associate-/l*`
646×	`fma-def`
602×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	518	21066
1	1572	17648

Stop Event

1×	node limit

Counts

200 → 325

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(-.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) 1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2)) 1)
(-.f64 (+.f64 (.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 4)))))) 1)
(-.f64 (+.f64 (.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 6))) 1))
(-.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) 1)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)) 1)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4)))))) 1)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6))) (+.f64 (.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (+.f64 (*.f64 3/64 (/.f64 1 (pow.f64 x 6))) 1))
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (*.f64 2 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 2 x) (+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2)
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2))
(+.f64 (.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (.f64 5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (.f64 -3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 6))))
(pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (*.f64 1/16 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 2))) (+.f64 (.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6))) (+.f64 (.f64 3/16 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 4))) (+.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 4))))))) (*.f64 3/64 (/.f64 1 (pow.f64 x 6))))
(+.f64 1 (+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(+.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) -1))
(+.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)
(+.f64 0 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))
(+.f64 (*.f64 (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 -1 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(+.f64 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 (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))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))))
(.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)))
(*.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)))
(.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1) (/.f64 1 (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (+.f64 1 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)) (-.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1))
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(/.f64 (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (*.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 1 (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (.f64 1 (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (.f64 1 (.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) -1))
(/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (neg.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (neg.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (neg.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (-.f64 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (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 (.f64 (neg.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (neg.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (neg.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (neg.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1) (.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (*.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1) (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) 1) (+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))))
(/.f64 (.f64 (.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1) (.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1) (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(exp.f64 (log.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))

Outputs
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 2 x))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x)))
(+.f64 (.f64 -1/3 (pow.f64 x 4)) (+.f64 (.f64 2 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (pow.f64 x 2))))
(fma.f64 -1/3 (pow.f64 x 4) (fma.f64 2 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 x x))))
(-.f64 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2) 1)
(+.f64 (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2) -1)
(+.f64 -1 (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (pow.f64 x 2))) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))) 2)) 1)
(+.f64 (fma.f64 1/2 (/.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 x x)) (pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)) -1)
(+.f64 -1 (fma.f64 1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 x x)) (pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)))
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1
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(fma.f64 2 x 1)
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(+.f64 (fma.f64 2 x 1) (*.f64 x x))
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(pow.f64 (+.f64 (+.f64 1 (log.f64 2)) (neg.f64 (neg.f64 (log.f64 x)))) 2)
(pow.f64 (+.f64 1 (+.f64 (log.f64 2) (log.f64 x))) 2)
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(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (*.f64 x x)) (fma.f64 -5/48 (/.f64 (+.f64 1 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (pow.f64 x 6)) (+.f64 (/.f64 1/16 (pow.f64 x 4)) (fma.f64 3/16 (/.f64 (+.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))) 2))))) (/.f64 -3/64 (pow.f64 x 6)))
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(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(+.f64 (+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) -1))
(+.f64 (+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 1 (-.f64 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1) 1))
(+.f64 (+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))))
(+.f64 (+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(+.f64 (+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1)
(+.f64 (+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(expm1.f64 (*.f64 2 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 0 (+.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) -1))
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(.f64 (/.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (/.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (/.f64 (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (/.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (-.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (-.f64 1 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) 1) (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))) (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))) (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(/.f64 (/.f64 (.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x)))))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) (+.f64 1 (fma.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x))) (neg.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (/.f64 (+.f64 1 (-.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (+.f64 x (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1)
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 3)
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) 1/3)
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(exp.f64 (log.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(fma.f64 1 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(fma.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(fma.f64 (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.3b	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1228×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	1
2	1882	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1094×	`distribute-lft-in`
1006×	`fma-def`
918×	`distribute-rgt-in`
916×	`distribute-lft-out`
670×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	461
1	225	395
2	1112	363
3	7648	357

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	0.2b	(*.f64 -1/6 (pow.f64 x 3))
✓	3.3b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)

Compiler

Compiled 40 to 31 computations (22.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`associate-*r/`
1250×	`associate-*l/`
934×	`*-commutative`
430×	`associate-+l+`
312×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	257	15
2	3415	15

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-*r/`
956×	`associate-*l/`
784×	`associate--l+`
742×	`associate-/r/`
626×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	8590
1	916	7672
2	4173	7620

Stop Event

1×	node limit

Counts

140 → 187

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x 0))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 1 x) -1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x -1)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 x -1) 1))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (+.f64 1 x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x -1))
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 x -1) 0))
(+.f64 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) 1)
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(+.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (+.f64 -1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 x))
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) x)
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.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)) (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (-.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (/.f64 1 (+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))
(.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))
(.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (/.f64 1 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(.f64 (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))) (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)))
(.f64 (/.f64 1 (+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) (-.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))) (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x))) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))
(/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))) (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1)))
(/.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(/.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (-.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))
(/.f64 (-.f64 1 (*.f64 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))) (+.f64 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3)))) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (sqrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (sqrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))
(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 (*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (fma.f64 -1/6 (pow.f64 x 3) x)))
(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 (log.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))
(exp.f64 (log.f64 (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 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.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 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)

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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
(fma.f64 -1/6 (pow.f64 x 3) 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 x 0))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 1 x) -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 x -1)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (+.f64 x -1) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 (+.f64 1 x) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 0 (fma.f64 -1/6 (pow.f64 x 3) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 x -1) 0))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 1 x) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 x -1) (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 -1 (*.f64 -1/6 (pow.f64 x 3))) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 -1 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3)))) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(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 (fma.f64 -1/6 (pow.f64 x 3) x) 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)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(.f64 (-.f64 (.f64 1/36 (pow.f64 x 6)) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (fma.f64 1/36 (pow.f64 x 6) (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (.f64 -1/36 (pow.f64 x 6))) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))
(.f64 (-.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (/.f64 1 (+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))
(.f64 (.f64 (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (fma.f64 -1/6 (pow.f64 x 3) x)) (/.f64 1 (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (/.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (pow.f64 x 6)) (.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 1/36 (pow.f64 x 6) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (/.f64 1 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 x x)))
(.f64 (-.f64 (.f64 1/36 (pow.f64 x 6)) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (fma.f64 1/36 (pow.f64 x 6) (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (.f64 -1/36 (pow.f64 x 6))) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))
(.f64 (/.f64 1 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))) (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (pow.f64 x 6)) (.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 1/36 (pow.f64 x 6) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(.f64 (/.f64 1 (+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)) (-.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1))
(.f64 (.f64 (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (fma.f64 -1/6 (pow.f64 x 3) x)) (/.f64 1 (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (/.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(.f64 (/.f64 1 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))) (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (*.f64 x x))))
(.f64 (-.f64 (.f64 1/36 (pow.f64 x 6)) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (fma.f64 1/36 (pow.f64 x 6) (.f64 x (neg.f64 x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (.f64 -1/36 (pow.f64 x 6))) (+.f64 x (.f64 (pow.f64 x 3) 1/6)))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x))) (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (pow.f64 x 6)) (.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 1/36 (pow.f64 x 6) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1)))
(.f64 (.f64 (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (fma.f64 -1/6 (pow.f64 x 3) x)) (/.f64 1 (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (/.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))) (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) 1) (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (pow.f64 x 6)) (.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 1/36 (pow.f64 x 6) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x))))) (sqrt.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (pow.f64 x 6)) (.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 1/36 (pow.f64 x 6) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))) (cbrt.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))) (cbrt.f64 (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 x x) (.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3))) 1) (+.f64 (.f64 1/36 (pow.f64 x 6)) (.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 1/36 (pow.f64 x 6) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) 1) (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (sqrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))))) (sqrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1) (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))) (cbrt.f64 (+.f64 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (+.f64 1 (*.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) -1) (/.f64 1 (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(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 (*.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)
(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 (log.f64 (+.f64 1 (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)
(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 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 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(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 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) 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 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) x)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1/8 (pow.f64 x 3))
✓	0.3b	(/.f64 1/16 (pow.f64 x 5))
✓	11.6b	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
✓	19.0b	(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))

Compiler

Compiled 66 to 52 computations (21.2% saved)

series3.0ms (0%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
0.0ms	x	@	inf	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
0.0ms	x	@	0	(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
0.0ms	x	@	-inf	(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
0.0ms	x	@	-inf	(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))

rewrite138.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

790×	`associate-/l*`
746×	`associate-/r/`
488×	`associate-+l+`
390×	`add-sqr-sqrt`
374×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	116
1	399	108
2	5447	108

Stop Event

1×	node limit

Counts

4 → 275

Calls

Call 1

Inputs
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(/.f64 1/16 (pow.f64 x 5))
(/.f64 1/8 (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (fma.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1) (fma.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -1/2 (/.f64 1 x)) (neg.f64 (/.f64 1/16 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 1/2 x)) (neg.f64 (/.f64 1/16 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x))) (neg.f64 (/.f64 1/16 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 (neg.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))) (cbrt.f64 (/.f64 1/2 x))) (neg.f64 (/.f64 1/16 (pow.f64 x 5)))))))) 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simplify217.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1314×	`associate-r`
1260×	`associate-l`
798×	`+-commutative`
630×	`associate-+r+`
620×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	24773
1	2230	24181

Stop Event

1×	node limit

Counts

299 → 459

Calls

Call 1

Inputs
(/.f64 -1/16 (pow.f64 x 5))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.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 1/16 (/.f64 1 (pow.f64 x 5))) (*.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 -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 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 -5 (log.f64 x)) (log.f64 -1/16))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -5 (log.f64 x)) (log.f64 -1/16)))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -5 (log.f64 x)) (+.f64 (*.f64 6 (pow.f64 x 4)) (log.f64 -1/16))))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -5 (log.f64 x)) (+.f64 (.f64 6 (pow.f64 x 4)) (+.f64 (.f64 40/3 (pow.f64 x 6)) (log.f64 -1/16)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
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(-.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 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
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(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 x 5))) (/.f64 1/16 (sqrt.f64 (pow.f64 x 5))))
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(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 5))) -1/16)
(pow.f64 (/.f64 1/16 (pow.f64 x 5)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/16 (pow.f64 x 5))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 5))) 3)
(pow.f64 (/.f64 (pow.f64 x 5) 1/16) -1)
(pow.f64 (pow.f64 (/.f64 1/16 (pow.f64 x 5)) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (exp.f64 (/.f64 1/16 (pow.f64 x 5))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/16 (pow.f64 x 5)))))
(cbrt.f64 (pow.f64 (/.f64 1/16 (pow.f64 x 5)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/16 (pow.f64 x 5))))
(exp.f64 (log.f64 (/.f64 1/16 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/16 (pow.f64 x 5))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3)))) 1)
(*.f64 1/8 (/.f64 1 (pow.f64 x 3)))
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
(*.f64 (/.f64 1/8 (pow.f64 x 3)) 1)
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(*.f64 1 (/.f64 1/8 (pow.f64 x 3)))
(*.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))))
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 1/2 x))
(.f64 (/.f64 1 x) (/.f64 1/8 (.f64 x x)))
(*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)
(*.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1/2) (/.f64 1 x))
(.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (/.f64 1/2 x))
(.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(.f64 (.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))) (cbrt.f64 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 (pow.f64 x 3))))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1/8 x))
(*.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) -1/8)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) 3) (/.f64 1/2 x))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) x) 1/2)
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (/.f64 1/2 x))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 1/2 (cbrt.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (neg.f64 x)) -1/2)
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) x) 1/2)
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) 1) (/.f64 1/2 x))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 1/2 (cbrt.f64 x)))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (neg.f64 x)) -1/2)
(pow.f64 (/.f64 1/8 (pow.f64 x 3)) 1)
(pow.f64 (/.f64 1/2 x) 3)
(pow.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))) 2)
(pow.f64 (/.f64 (pow.f64 x 3) 1/8) -1)
(pow.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(log.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3))))
(exp.f64 (log.f64 (/.f64 1/8 (pow.f64 x 3))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/8 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/8 (pow.f64 x 3))))

Outputs
(/.f64 -1/16 (pow.f64 x 5))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/16 (pow.f64 x 5)))
(+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 -1/16 (pow.f64 x 5)))
(-.f64 (.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 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (.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 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(+.f64 (pow.f64 (/.f64 1/2 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 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.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 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(+.f64 (pow.f64 (/.f64 1/2 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 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.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 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (*.f64 -5 (log.f64 x)) (log.f64 -1/16))
(fma.f64 -5 (log.f64 x) (log.f64 -1/16))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -5 (log.f64 x)) (log.f64 -1/16)))
(fma.f64 -2 (*.f64 x x) (fma.f64 -5 (log.f64 x) (log.f64 -1/16)))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -5 (log.f64 x)) (+.f64 (*.f64 6 (pow.f64 x 4)) (log.f64 -1/16))))
(fma.f64 -2 (*.f64 x x) (fma.f64 -5 (log.f64 x) (fma.f64 6 (pow.f64 x 4) (log.f64 -1/16))))
(+.f64 (.f64 -2 (pow.f64 x 2)) (+.f64 (.f64 -5 (log.f64 x)) (+.f64 (.f64 6 (pow.f64 x 4)) (+.f64 (.f64 40/3 (pow.f64 x 6)) (log.f64 -1/16)))))
(fma.f64 -2 (*.f64 x x) (fma.f64 -5 (log.f64 x) (fma.f64 6 (pow.f64 x 4) (fma.f64 40/3 (pow.f64 x 6) (log.f64 -1/16)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (/.f64 -1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/192 (pow.f64 x 6))))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/192 (pow.f64 x 6))) (/.f64 -1/4 (*.f64 x 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 (+.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 (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 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 5/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/192 (pow.f64 x 6))) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/192 (pow.f64 x 6))) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (neg.f64 (+.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 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (fma.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 -1/16 (pow.f64 x 5))) (+.f64 (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1) (fma.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (/.f64 -1/16 (pow.f64 x 5))) (+.f64 (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) 1) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (neg.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5))) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (*.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))))
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(log.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(exp.f64 (log.f64 (log.f64 (-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(log.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))) 1))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(log.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(log1p.f64 (expm1.f64 (log.f64 (-.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))))
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(log.f64 (+.f64 (pow.f64 (/.f64 1/2 x) 3) (-.f64 (/.f64 -1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/16 (pow.f64 x 5)))) 1)
(/.f64 1/16 (pow.f64 x 5))
(*.f64 1/16 (/.f64 1 (pow.f64 x 5)))
(/.f64 1/16 (pow.f64 x 5))
(*.f64 (/.f64 1/16 (pow.f64 x 5)) 1)
(/.f64 1/16 (pow.f64 x 5))
(*.f64 1 (/.f64 1/16 (pow.f64 x 5)))
(/.f64 1/16 (pow.f64 x 5))
(*.f64 (sqrt.f64 (/.f64 1/16 (pow.f64 x 5))) (sqrt.f64 (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/16 (pow.f64 x 5))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 5))) (.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 5))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 5)))))
(/.f64 1/16 (pow.f64 x 5))
(.f64 (.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 5))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 5)))) (cbrt.f64 (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/16 (pow.f64 x 5))
(*.f64 (/.f64 1 (pow.f64 x 5)) 1/16)
(/.f64 1/16 (pow.f64 x 5))
(*.f64 -1/16 (/.f64 1 (neg.f64 (pow.f64 x 5))))
(/.f64 1/16 (pow.f64 x 5))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 x 5))) (/.f64 1/16 (sqrt.f64 (pow.f64 x 5))))
(/.f64 (/.f64 1/16 (sqrt.f64 (pow.f64 x 5))) (sqrt.f64 (pow.f64 x 5)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (pow.f64 x 5)) (cbrt.f64 (pow.f64 x 5)))) (/.f64 1/16 (cbrt.f64 (pow.f64 x 5))))
(/.f64 (/.f64 1/16 (cbrt.f64 (pow.f64 x 5))) (*.f64 (cbrt.f64 (pow.f64 x 5)) (cbrt.f64 (pow.f64 x 5))))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 5))) -1/16)
(/.f64 1/16 (pow.f64 x 5))
(pow.f64 (/.f64 1/16 (pow.f64 x 5)) 1)
(/.f64 1/16 (pow.f64 x 5))
(pow.f64 (sqrt.f64 (/.f64 1/16 (pow.f64 x 5))) 2)
(/.f64 1/16 (pow.f64 x 5))
(pow.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 x 5))) 3)
(/.f64 1/16 (pow.f64 x 5))
(pow.f64 (/.f64 (pow.f64 x 5) 1/16) -1)
(/.f64 1/16 (pow.f64 x 5))
(pow.f64 (pow.f64 (/.f64 1/16 (pow.f64 x 5)) 3) 1/3)
(/.f64 1/16 (pow.f64 x 5))
(sqrt.f64 (*.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/16 (pow.f64 x 5))))
(fabs.f64 (/.f64 1/16 (pow.f64 x 5)))
(log.f64 (exp.f64 (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/16 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/16 (pow.f64 x 5)))))
(/.f64 1/16 (pow.f64 x 5))
(cbrt.f64 (pow.f64 (/.f64 1/16 (pow.f64 x 5)) 3))
(/.f64 1/16 (pow.f64 x 5))
(expm1.f64 (log1p.f64 (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/16 (pow.f64 x 5))
(exp.f64 (log.f64 (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/16 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (/.f64 1/16 (pow.f64 x 5))) 1))
(/.f64 1/16 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (/.f64 1/16 (pow.f64 x 5))))
(/.f64 1/16 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3)))) 1)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 1/8 (/.f64 1 (pow.f64 x 3)))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 1/8 (pow.f64 (/.f64 1 x) 3))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 (/.f64 1/8 (pow.f64 x 3)) 1)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (/.f64 1/2 x) (.f64 (/.f64 1/2 x) (/.f64 1/2 x)))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 1 (/.f64 1/8 (pow.f64 x 3)))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (/.f64 1/2 x))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (/.f64 1 x) (/.f64 1/8 (.f64 x x)))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 (/.f64 1 (pow.f64 x 3)) 1/8)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 -1/8 (/.f64 1 (neg.f64 (pow.f64 x 3))))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1/2) (/.f64 1 x))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (/.f64 1/2 x))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)))
(.f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (/.f64 1/2 x) (*.f64 (/.f64 1/2 x) (sqrt.f64 (/.f64 1/2 x)))))
(.f64 (sqrt.f64 (/.f64 1/2 x)) (.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/4 (*.f64 x x))))
(.f64 (.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))) (cbrt.f64 (/.f64 1/2 x)))
(.f64 (cbrt.f64 (/.f64 1/2 x)) (.f64 (.f64 (/.f64 1/2 x) (cbrt.f64 (/.f64 1/2 x))) (.f64 (/.f64 1/2 x) (cbrt.f64 (/.f64 1/2 x)))))
(.f64 (/.f64 1/4 (.f64 x x)) (.f64 (cbrt.f64 (/.f64 1/2 x)) (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 x 3))) (/.f64 1/8 (sqrt.f64 (pow.f64 x 3))))
(/.f64 (/.f64 1/8 (sqrt.f64 (pow.f64 x 3))) (sqrt.f64 (pow.f64 x 3)))
(.f64 (/.f64 1 (.f64 x x)) (/.f64 1/8 x))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 (pow.f64 (/.f64 1/2 x) 3/2) (pow.f64 (/.f64 1/2 x) 3/2))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) -1/8)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3) (pow.f64 (sqrt.f64 (/.f64 1/2 x)) 3))
(pow.f64 (sqrt.f64 (/.f64 1/2 x)) 6)
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) 3) (/.f64 1/2 x))
(.f64 (/.f64 1/2 x) (pow.f64 (.f64 (cbrt.f64 (/.f64 1/2 x)) (cbrt.f64 (/.f64 1/2 x))) 3))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) x) 1/2)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (/.f64 1/2 x))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 1/4 (.f64 x x)) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 1/2 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1/4 x) (/.f64 (cbrt.f64 x) (/.f64 (/.f64 1/2 x) (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (neg.f64 x)) -1/2)
(.f64 -1/2 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (neg.f64 x)))
(/.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (neg.f64 x) -1/2))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) x) 1/2)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) 1) (/.f64 1/2 x))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 1/4 (.f64 x x)) (sqrt.f64 x)) (/.f64 1/2 (sqrt.f64 x)))
(.f64 (/.f64 (.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 1/2 (cbrt.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 1/2 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 1/4 x) (/.f64 (cbrt.f64 x) (/.f64 (/.f64 1/2 x) (cbrt.f64 x)))) (cbrt.f64 x))
(.f64 (/.f64 (.f64 (*.f64 (/.f64 1/2 x) (/.f64 1/2 x)) 1) (neg.f64 x)) -1/2)
(.f64 -1/2 (/.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (neg.f64 x)))
(/.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 (neg.f64 x) -1/2))
(pow.f64 (/.f64 1/8 (pow.f64 x 3)) 1)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(pow.f64 (/.f64 1/2 x) 3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))) 2)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(pow.f64 (/.f64 (pow.f64 x 3) 1/8) -1)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(pow.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3) 1/3)
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(sqrt.f64 (*.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(fabs.f64 (/.f64 1/8 (pow.f64 x 3)))
(fabs.f64 (pow.f64 (/.f64 1/2 x) 3))
(log.f64 (exp.f64 (/.f64 1/8 (pow.f64 x 3))))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(cbrt.f64 (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(expm1.f64 (log1p.f64 (/.f64 1/8 (pow.f64 x 3))))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(exp.f64 (log.f64 (/.f64 1/8 (pow.f64 x 3))))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 x)) 3))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(exp.f64 (*.f64 (log.f64 (/.f64 1/8 (pow.f64 x 3))) 1))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)
(log1p.f64 (expm1.f64 (/.f64 1/8 (pow.f64 x 3))))
(/.f64 1/8 (pow.f64 x 3))
(pow.f64 (/.f64 1/2 x) 3)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
✓	0.7b	(-.f64 (hypot.f64 1 x) x)
✓	3.3b	(log.f64 (/.f64 (-.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x)))
✓	16.5b	(-.f64 (.f64 (hypot.f64 1 x) (hypot.f64 1 x)) (.f64 x x))

Compiler

Compiled 67 to 40 computations (40.3% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite183.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`associate-/r/`
1384×	`associate-/l/`
358×	`associate-+l+`
278×	`add-sqr-sqrt`
272×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	128
1	265	68
2	3923	68

Stop Event

1×	node limit

Counts

4 → 454

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (neg.f64 x) x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (.f64 x x) (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (.f64 x x) (.f64 (neg.f64 (.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 x x) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 x x) (-.f64 (.f64 x x) (fma.f64 (neg.f64 x) x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 x) 2) (neg.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 (neg.f64 (.f64 x x)) (fma.f64 (neg.f64 x) x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 x) 2) (.f64 (neg.f64 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (hypot.f64 1 x) 2) (+.f64 (+.f64 (neg.f64 (.f64 x x)) (fma.f64 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simplify280.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1412×	`associate-*l/`
1398×	`associate-*r/`
1102×	`+-commutative`
918×	`associate-/r/`
522×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1114	32430
1	3831	31856

Stop Event

1×	node limit

Counts

502 → 753

Calls

Call 1

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

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

eval1.7s (14%)

Compiler: Compiled 89115 to 66224 computations (25.7% saved)

prune986.0ms (8%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	2212	9	2221
Fresh	2	2	4
Picked	1	0	1
Done	4	5	9
Total	2219	16	2235

Error

Counts

2235 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	44.4b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
	60.4b	(/.f64 (-.f64 1 (*.f64 (-.f64 x 1) (-.f64 x 1))) (-.f64 1 (-.f64 x 1)))
▶	29.5b	(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))
	60.4b	(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) 1) (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
✓	44.4b	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
▶	59.8b	(+.f64 (-.f64 x 1) 1)
▶	61.3b	(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
✓	30.0b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	30.3b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	30.3b	(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
▶	60.4b	(.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) 1) (/.f64 1 (+.f64 (+.f64 1 x) 1)))
	47.2b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶	49.8b	(log.f64 (/.f64 -1/2 x))
✓	44.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	47.3b	(log.f64 (*.f64 x 2))
	28.9b	x

Compiler

Compiled 311 to 250 computations (19.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 x (-.f64 1 x)) x)
✓	0.0b	(*.f64 x (-.f64 1 x))
✓	14.7b	(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))
1.0ms	x	@	-inf	(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))
0.0ms	x	@	inf	(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))
0.0ms	x	@	inf	(*.f64 x (-.f64 1 x))
0.0ms	x	@	0	(*.f64 x (-.f64 1 x))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`associate-/r*`
1116×	`*-commutative`
964×	`associate-/l*`
774×	`distribute-lft-in`
750×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	230	55
2	3232	51

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

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

Outputs

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simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-r`
1034×	`associate-l`
850×	`associate-/l*`
534×	`associate-*r/`
528×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	463	9348
1	1394	7794

Stop Event

1×	node limit

Counts

218 → 263

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.3b	(+.f64 (-.f64 x 1) 1)

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`add-sqr-sqrt`
1254×	`*-un-lft-identity`
1182×	`add-cube-cbrt`
1174×	`add-cbrt-cube`
1166×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	1
2	1847	1

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-r`
1010×	`associate--l-`
998×	`associate-l`
958×	`associate-/l*`
732×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	360
1	222	290
2	1081	270
3	7721	270

Stop Event

1×	node limit

Counts

50 → 42

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 x) 1)
✓	0.0b	(*.f64 (+.f64 1 x) (+.f64 1 x))
✓	3.3b	(-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1)
✓	14.8b	(.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) 1) (/.f64 1 (+.f64 (+.f64 1 x) 1)))

Compiler

Compiled 51 to 40 computations (21.6% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite136.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`associate-/r*`
1294×	`associate-/l*`
998×	`associate-/r/`
990×	`*-commutative`
314×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	82
1	235	34
2	3494	34

Stop Event

1×	node limit

Counts

4 → 489

Calls

Call 1

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

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

simplify208.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

980×	`*-commutative`
824×	`div-sub`
716×	`associate-+r+`
680×	`associate-+l+`
648×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1046	23393
1	3060	21231

Stop Event

1×	node limit

Counts

537 → 856

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series49.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
11.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))
10.0ms	x	@	inf	(log.f64 (/.f64 -1/2 x))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`add-sqr-sqrt`
1296×	`*-un-lft-identity`
1210×	`add-cube-cbrt`
1198×	`add-cbrt-cube`
1186×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1645	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1118×	`unswap-sqr`
1038×	`associate-+l-`
988×	`associate-+r-`
748×	`associate-r`
700×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	567
1	156	557
2	557	537
3	2965	537
4	6709	537

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
	0.2b	(*.f64 -1/6 (pow.f64 x 3))
✓	3.3b	(+.f64 -1 (+.f64 1 x))

Compiler

Compiled 33 to 26 computations (21.2% saved)

series0.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`associate-*l/`
1384×	`distribute-lft-in`
986×	`*-commutative`
496×	`associate-+l+`
296×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	272	16
2	3564	16

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

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

Outputs

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

simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1180×	`+-commutative`
736×	`associate-r`
642×	`associate-l`
604×	`associate-/l*`
572×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	422	7798
1	1402	6906
2	7272	6894

Stop Event

1×	node limit

Counts

178 → 265

Calls

Call 1

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

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.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)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (+.f64 1 x) 1)
x
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 x))) 2)
(+.f64 (exp.f64 (log1p.f64 (+.f64 x 1))) -2)
(+.f64 -1 (expm1.f64 (log1p.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 x (/.f64 (-.f64 1 x) x)) -1))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (/.f64 x (-.f64 1 x)) x)) -1)
(-.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 x (-.f64 1 x)) x 1))
(-.f64 (/.f64 1 (-.f64 1 x)) (+.f64 (/.f64 x (/.f64 (-.f64 1 x) x)) 1))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (/.f64 x (-.f64 1 x)) x)) -1)
(-.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 x (-.f64 1 x)) x 1))
(-.f64 (/.f64 1 (-.f64 -1 (+.f64 1 x))) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 -1 (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))) (-.f64 -2 x))
(-.f64 (/.f64 1 (-.f64 -1 (+.f64 1 x))) (-.f64 (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 -1 (+.f64 1 x))) 0))
(/.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))) (-.f64 -2 x))
(-.f64 (+.f64 -1 (exp.f64 (log1p.f64 (+.f64 1 x)))) 1)
(+.f64 (exp.f64 (log1p.f64 (+.f64 x 1))) -2)
(+.f64 -1 (expm1.f64 (log1p.f64 (+.f64 x 1))))
(-.f64 (+.f64 -1 (/.f64 1 (-.f64 1 x))) (/.f64 x (/.f64 (-.f64 1 x) x)))
(+.f64 (-.f64 (/.f64 1 (-.f64 1 x)) (*.f64 (/.f64 x (-.f64 1 x)) x)) -1)
(-.f64 (/.f64 1 (-.f64 1 x)) (fma.f64 (/.f64 x (-.f64 1 x)) x 1))
(-.f64 (+.f64 0 (/.f64 1 (-.f64 -1 (+.f64 1 x)))) (/.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 -1 (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))) (-.f64 -2 x))
(*.f64 1 x)
x
(*.f64 x 1)
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x)))
x
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x))
x
(.f64 (-.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 1 (-.f64 -1 (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))) (-.f64 -2 x))
(.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 -1 (+.f64 1 x))))))
(/.f64 (.f64 1 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (+.f64 1 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 x))) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(*.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) 1) (+.f64 1 (sqrt.f64 (+.f64 1 x))))
x
(.f64 (/.f64 1 (-.f64 -1 (+.f64 1 x))) (-.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))) (-.f64 -2 x))
(.f64 (/.f64 1 (+.f64 1 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (*.f64 -1 (+.f64 1 x))))) (+.f64 -1 (pow.f64 (+.f64 1 x) 3)))
(/.f64 (.f64 1 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (+.f64 1 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(.f64 (/.f64 (-.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))) (-.f64 1 (*.f64 (+.f64 1 x) (+.f64 1 x)))) x)
x
(.f64 (/.f64 (-.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))) (-.f64 -1 (pow.f64 (+.f64 1 x) 3))) (+.f64 (+.f64 1 (*.f64 x x)) x))
(.f64 (/.f64 (-.f64 1 (.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -1 (pow.f64 (+.f64 x 1) 3))) (+.f64 1 (*.f64 (+.f64 x 1) x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))) (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))) (/.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (fma.f64 x x 1))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (-.f64 1 (.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x))) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x)))))) (-.f64 1 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x)))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (.f64 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1)) (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))) (-.f64 1 (*.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (-.f64 1 (.f64 (+.f64 x 1) (.f64 (+.f64 x 2) (.f64 (+.f64 x 1) (+.f64 x 2)))))) (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 2))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (.f64 (.f64 (+.f64 x 1) (+.f64 x 2)) (.f64 (-.f64 -1 x) (+.f64 x 2))))) (+.f64 1 (*.f64 (-.f64 -1 x) (+.f64 x 2))))
(.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (pow.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x))) 3))) (+.f64 1 (-.f64 (.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x))) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x)))) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x))))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 1 (-.f64 (.f64 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1)) (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))) (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))) (+.f64 1 (pow.f64 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1)) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 x 1) (+.f64 x 2)) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 x 1) (.f64 (+.f64 x 2) (.f64 (+.f64 x 1) (+.f64 x 2)))) (*.f64 (+.f64 x 1) (+.f64 x 2))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 x 1) (+.f64 x 2)) 3)) (+.f64 1 (fma.f64 (.f64 (+.f64 x 1) (+.f64 x 2)) (.f64 (+.f64 x 1) (+.f64 x 2)) (.f64 (-.f64 -1 x) (+.f64 x 2))))))
(/.f64 1 (/.f64 1 x))
x
(/.f64 (pow.f64 x 3) (+.f64 0 (-.f64 (.f64 x x) (.f64 x 0))))
(/.f64 (pow.f64 x 3) (fma.f64 x x 0))
(/.f64 (pow.f64 x 3) (*.f64 x x))
(/.f64 (-.f64 1 (*.f64 (+.f64 1 x) (+.f64 1 x))) (-.f64 -1 (+.f64 1 x)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x))
(/.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))) (-.f64 -2 x))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x)))))
(/.f64 (.f64 1 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (+.f64 1 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x)))) (/.f64 (-.f64 -1 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (+.f64 x 1) (+.f64 x 1)))) (-.f64 -2 x)) (sqrt.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (.f64 (+.f64 x 1) (+.f64 x 1)))) (sqrt.f64 (-.f64 1 (*.f64 (+.f64 x 1) (+.f64 x 1))))) (-.f64 -2 x))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (+.f64 x 1) (-.f64 -1 x)))) (sqrt.f64 (+.f64 1 (*.f64 (+.f64 x 1) (-.f64 -1 x))))) (-.f64 -2 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3))) (/.f64 (+.f64 1 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 -1 (+.f64 1 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (+.f64 1 (.f64 (+.f64 x 1) (-.f64 (+.f64 x 1) -1)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3))) (fma.f64 (+.f64 x 1) (+.f64 x 2) 1)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 0 x) 3) (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 0 x) (+.f64 0 x)) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 0 x) (.f64 -1/6 (pow.f64 x 3)))))) (cbrt.f64 (+.f64 (.f64 (+.f64 0 x) (+.f64 0 x)) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 0 x) (.f64 -1/6 (pow.f64 x 3)))))))) (cbrt.f64 (+.f64 (.f64 (+.f64 0 x) (+.f64 0 x)) (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 0 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 x x (-.f64 (.f64 1/36 (pow.f64 x 6)) (.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)) (-.f64 (fma.f64 1/36 (pow.f64 x 6) (.f64 x x)) (.f64 -1/6 (pow.f64 x 4))))
(pow.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3))) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))) 2)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))) 3)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (.f64 (.f64 (+.f64 (+.f64 0 x) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 0 x) (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))) 1/3)
(cbrt.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (.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))
(sqrt.f64 (.f64 (+.f64 (+.f64 0 x) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3))))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (.f64 (.f64 (+.f64 (+.f64 0 x) (.f64 -1/6 (pow.f64 x 3))) (+.f64 (+.f64 0 x) (.f64 -1/6 (pow.f64 x 3)))) (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (.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))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))))
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (+.f64 (+.f64 0 x) (*.f64 -1/6 (pow.f64 x 3)))))
(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 -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 (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) (sqrt.f64 (.f64 -1/6 (pow.f64 x 3))) 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 (.f64 (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3)))) (cbrt.f64 (.f64 -1/6 (pow.f64 x 3))) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) (.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) x)

eval881.0ms (7.1%)

Compiler: Compiled 44465 to 34585 computations (22.2% saved)

prune430.0ms (3.5%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	1468	8	1476
Fresh	2	4	6
Picked	0	1	1
Done	2	7	9
Total	1472	20	1492

Error

Counts

1492 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	44.4b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1) (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
	28.6b	(/.f64 (*.f64 x 2) (-.f64 2 x))
	29.0b	(/.f64 1 (/.f64 1 x))
	60.4b	(-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 1 x)) -1))
	59.8b	(-.f64 (+.f64 1 (+.f64 1 x)) 2)
✓	44.4b	(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
	61.3b	(+.f64 (/.f64 (-.f64 1 (.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x)) (.f64 -1/6 (pow.f64 x 3)))
	61.3b	(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))) (.f64 (-.f64 -1 (+.f64 1 x)) (+.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))))) (.f64 -1/6 (pow.f64 x 3)))
✓	59.8b	(+.f64 (-.f64 x 1) 1)
✓	61.3b	(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
✓	30.0b	(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
✓	30.3b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	30.3b	(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
	60.4b	(+.f64 -1 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
	28.4b	(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (+.f64 1 x) 1)))
	47.2b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
✓	49.8b	(log.f64 (/.f64 -1/2 x))
✓	44.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	47.3b	(log.f64 (*.f64 x 2))
	28.9b	x

Compiler

Compiled 237 to 188 computations (20.7% saved)

regimes92.0ms (0.7%)

Counts

33 → 3

Calls

Call 1

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

Outputs
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)

Calls

3 calls:

47.0ms	x
19.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
16.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.0b	3	`x`
6.3b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
6.3b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 435 to 330 computations (24.1% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	1.8410423456798682e-13	0.03445117977830084
18.0ms	-156.10029124871815	-0.0009613919191191837

Results

42.0ms

304×

body

256

valid

Compiler

Compiled 509 to 410 computations (19.4% saved)

regimes73.0ms (0.6%)

Counts

26 → 3

Calls

Call 1

Inputs
x
(+.f64 (-.f64 x 1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 1 x)) 2)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (+.f64 1 x) 1)))
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))
(-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 1 x)) -1))
(/.f64 (-.f64 1 (*.f64 (-.f64 x 1) (-.f64 x 1))) (-.f64 1 (-.f64 x 1)))
(.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) 1) (/.f64 1 (+.f64 (+.f64 1 x) 1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) 1) (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(+.f64 (/.f64 (-.f64 1 (.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))) (.f64 (-.f64 -1 (+.f64 1 x)) (+.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))))) (.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)

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

Calls

3 calls:

43.0ms	x
10.0ms	(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
0.0b	3	`x`
6.3b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
6.3b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 298 to 226 computations (24.2% saved)

bsearch52.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.8410423456798682e-13	0.03445117977830084
19.0ms	-0.0009613919191191837	-1.2690708564893802e-8

Results

48.0ms

304×

body

256

valid

Compiler

Compiled 281 to 220 computations (21.7% saved)

regimes69.0ms (0.6%)

Counts

25 → 3

Calls

Call 1

Inputs
x
(+.f64 (-.f64 x 1) 1)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 1 x)) 2)
(/.f64 (*.f64 x 2) (-.f64 2 x))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 (+.f64 1 x) 1)))
(+.f64 -1 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 x)))
(/.f64 (+.f64 (*.f64 x (-.f64 1 x)) x) (-.f64 2 x))
(-.f64 (/.f64 1 (-.f64 1 x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 1 x)) -1))
(/.f64 (-.f64 1 (*.f64 (-.f64 x 1) (-.f64 x 1))) (-.f64 1 (-.f64 x 1)))
(.f64 (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) 1) (/.f64 1 (+.f64 (+.f64 1 x) 1)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 x) 1) (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1)))
(log.f64 (*.f64 x 2))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1))
(+.f64 (+.f64 -1 (+.f64 1 x)) (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
(+.f64 (/.f64 (-.f64 1 (.f64 (+.f64 x 1) (+.f64 x 1))) (-.f64 -2 x)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (/.f64 (-.f64 1 (.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (+.f64 1 x) (+.f64 1 x)))) (.f64 (-.f64 -1 (+.f64 1 x)) (+.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))))) (.f64 -1/6 (pow.f64 x 3)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x)))

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

Calls

3 calls:

40.0ms	x
12.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.0b	3	`x`
6.3b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
6.3b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 288 to 218 computations (24.3% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.8410423456798682e-13	0.03445117977830084
21.0ms	-0.0009613919191191837	-1.2690708564893802e-8

Results

40.0ms

304×

body

256

valid

Compiler

Compiled 241 to 180 computations (25.3% saved)

regimes45.0ms (0.4%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

1 calls:

33.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 242 to 186 computations (23.1% saved)

bsearch59.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.8410423456798682e-13	0.03445117977830084
31.0ms	-156.10029124871815	-0.0009613919191191837

Results

54.0ms

304×

body

256

valid

Compiler

Compiled 395 to 324 computations (18% saved)

regimes38.0ms (0.3%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 236 to 182 computations (22.9% saved)

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.03445117977830084	42257443076772.98
20.0ms	-156.10029124871815	-0.0009613919191191837

Results

33.0ms

304×

body

256

valid

Compiler

Compiled 375 to 314 computations (16.3% saved)

regimes36.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

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

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 145 to 109 computations (24.8% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.03445117977830084	42257443076772.98
18.0ms	-156.10029124871815	-0.0009613919191191837

Results

33.0ms

304×

body

256

valid

Compiler

Compiled 299 to 238 computations (20.4% saved)

regimes30.0ms (0.2%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 138 to 104 computations (24.6% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.03445117977830084	42257443076772.98
17.0ms	-156.10029124871815	-0.0009613919191191837

Results

41.0ms

304×

body

256

valid

Compiler

Compiled 185 to 143 computations (22.7% saved)

regimes20.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
12.6b	2	`x`

Compiler

Compiled 134 to 101 computations (24.6% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	0.03445117977830084	42257443076772.98

Results

18.0ms

160×

body

256

valid

Compiler

Compiled 164 to 130 computations (20.7% saved)

regimes19.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
26.5b	2	`x`

Compiler

Compiled 130 to 98 computations (24.6% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	-1.2690708564893802e-8	-1.3950581709652894e-9

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 36 to 27 computations (25% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 (*.f64 x 2) (-.f64 2 x))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
28.6b	1	`x`

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes5.0ms (0%)

Accuracy

Total -30.9b remaining (-107.1%)

Threshold costs -30.9b (-107.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
28.9b	1	`x`

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
10×	`sub-neg`
10×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	603
1	101	603
2	107	603
3	109	603
4	110	603

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -4726978168888073/576460752303423488) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3804640965202595/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 782141948725285/73786976294838206464) x (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8028023020878397/1180591620717411303424) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 760928193040519/2305843009213693952) (+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (+.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) 1) 1)) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 3/4) (/.f64 (.f64 x 2) (-.f64 2 x)) (log.f64 (.f64 x 2)))
(if (<=.f64 x -3022314549036573/302231454903657293676544) (/.f64 (.f64 x 2) (-.f64 2 x)) (.f64 (+.f64 x x) (/.f64 1 (+.f64 (+.f64 1 x) 1))))
(/.f64 (*.f64 x 2) (-.f64 2 x))
x

Outputs
(if (<=.f64 x -4726978168888073/576460752303423488) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3804640965202595/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -4726978168888073/576460752303423488) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 3804640965202595/576460752303423488) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 782141948725285/73786976294838206464) x (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 782141948725285/73786976294838206464) x (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1)))
(if (<=.f64 x -6375194751874021/1180591620717411303424) (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) (if (<=.f64 x 8028023020878397/1180591620717411303424) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 760928193040519/2305843009213693952) (+.f64 x (+.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 760928193040519/2305843009213693952) (+.f64 x (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) -1))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (+.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) 1) 1)) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 3)) -1))) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (.f64 x 2))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (*.f64 x 2))))
(if (<=.f64 x 3/4) (/.f64 (.f64 x 2) (-.f64 2 x)) (log.f64 (.f64 x 2)))
(if (<=.f64 x -3022314549036573/302231454903657293676544) (/.f64 (.f64 x 2) (-.f64 2 x)) (.f64 (+.f64 x x) (/.f64 1 (+.f64 (+.f64 1 x) 1))))
(if (<=.f64 x -3022314549036573/302231454903657293676544) (/.f64 (.f64 x 2) (-.f64 2 x)) (.f64 (+.f64 x x) (/.f64 1 (+.f64 1 (+.f64 x 1)))))
(/.f64 (*.f64 x 2) (-.f64 2 x))
x

Compiler

Compiled 241 to 181 computations (24.9% saved)

soundness21.0ms (0.2%)

Algorithm

3×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated
1×	saturated

Compiler

Compiled 75 to 48 computations (36% saved)

end151.0ms (1.2%)

Compiler: Compiled 231 to 171 computations (26% saved)