Details

analyze91.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.0s (44.4%)

Results

1.4s	2596×	body	1024	valid
705.0ms	1293×	body	2048	valid
451.0ms	3080×	body	256	valid
389.0ms	1249×	body	512	valid
23.0ms	38×	body	4096	valid

Bogosity

preprocess15.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`hypot-1-def_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	9
2	14	9
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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`hypot-1-def_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	9
2	14	9

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

43.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 x (hypot.f64 1 x))
✓	1.7b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`pow1_binary64`
575×	`add-log-exp_binary64`
575×	`log1p-expm1-u_binary64`
575×	`expm1-log1p-u_binary64`
563×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	121	16
2	1559	16

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
673×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
367×	`log-prod_binary64`
225×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	1257
1	551	1069
2	1721	993
3	6800	993

Stop Event

1×	node limit

Counts

80 → 135

Calls

Call 1

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

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

eval58.0ms (0.8%)

Compiler: Compiled 1889 to 1394 computations (26.2% saved)

prune43.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	127	9	136

Error

0.0b

Counts

136 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	43.5b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
	37.4b	(+.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)))
▶	37.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	45.2b	(log.f64 (/.f64 -1/2 x))
▶	42.6b	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	44.6b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	43.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
▶	45.3b	(log.f64 (+.f64 x x))
	35.5b	x

Compiler

Compiled 145 to 112 computations (22.8% saved)

localize15.0ms (0.2%)

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)

series3.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 -1/6 (pow.f64 x 3))
1.0ms	x	@	-inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 -1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)

rewrite46.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
702×	`add-log-exp_binary64`
702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	159	15
2	1913	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(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 log1p.f64 (expm1.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 -.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 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(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 pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(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 sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))) (#(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 log1p.f64 (expm1.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 -.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 x 6) 1/36) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (*.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(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 pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)))) (#(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 sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 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 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))))

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-neg_binary64`
504×	`div-sub_binary64`
428×	`cancel-sign-sub-inv_binary64`
278×	`fma-def_binary64`
250×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	795
1	280	698
2	928	592
3	4310	592

Stop Event

1×	node limit

Counts

49 → 60

Calls

Call 1

Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (*.f64 (pow.f64 x 3) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (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)
(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 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.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 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/216))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) -1/216))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/216))
(cbrt.f64 (.f64 (.f64 x (pow.f64 x 8)) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.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))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (neg.f64 x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(*.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(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 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (*.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (.f64 (pow.f64 x 6) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (neg.f64 x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (.f64 (pow.f64 x 6) 1/36))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (neg.f64 x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (*.f64 (pow.f64 x 3) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (neg.f64 x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x (-.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 (pow.f64 x 3) 3) -1/216)) 1) (fma.f64 (pow.f64 x 6) 1/36 (.f64 x (+.f64 x (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3) 3) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 3/2) 6) -1/216 (pow.f64 x 3)) (fma.f64 (pow.f64 x 6) 1/36 (fma.f64 (pow.f64 x 4) 1/6 (*.f64 x x))))
(/.f64 (fma.f64 (.f64 x (pow.f64 x 8)) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 4) 1/6 (.f64 (pow.f64 x 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (neg.f64 x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x (neg.f64 x))) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (fma.f64 (pow.f64 x 6) -1/36 (*.f64 x x)) (fma.f64 (pow.f64 x 3) 1/6 x))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(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)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.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))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 1 (-.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 -1/6 (pow.f64 x 3) x)

localize4.0ms (0.1%)

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

localize50.0ms (0.7%)

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

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

series1.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
852×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	194	8
2	2404	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-neg_binary64`
470×	`associate-l_binary64`
444×	`associate-r_binary64`
392×	`div-sub_binary64`
238×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	774
1	239	649
2	780	539
3	4932	519

Stop Event

1×	node limit

Counts

40 → 49

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
✓	1.6b	(-.f64 x (hypot.f64 1 x))
✓	1.7b	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))

Compiler

Compiled 27 to 19 computations (29.6% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

830×	`pow1_binary64`
769×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
754×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	164	29
2	2066	29

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

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

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

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

592×	`times-frac_binary64`
575×	`unswap-sqr_binary64`
394×	`distribute-rgt-in_binary64`
268×	`fma-neg_binary64`
205×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	1891
1	756	1758
2	2678	1588

Stop Event

1×	node limit

Counts

124 → 187

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

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

eval125.0ms (1.8%)

Compiler: Compiled 4398 to 3355 computations (23.7% saved)

prune56.0ms (0.8%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	294	2	296
Fresh	1	2	3
Picked	0	1	1
Done	0	5	5
Total	295	10	305

Error

0.0b

Counts

305 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.5b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
▶	42.6b	(-.f64 (+.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
✓	37.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	45.2b	(log.f64 (/.f64 -1/2 x))
✓	42.6b	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))
▶	44.8b	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	44.6b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	43.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	45.3b	(log.f64 (+.f64 x x))
	35.5b	x

Compiler

Compiled 83 to 65 computations (21.7% saved)

localize38.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 49 to 39 computations (20.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
399×	`exp-prod_binary64`
298×	`fma-def_binary64`
295×	`pow2_binary64`
288×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	252	24
2	3059	24

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-l_binary64`
600×	`fma-def_binary64`
272×	`distribute-rgt-in_binary64`
260×	`distribute-lft-in_binary64`
237×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	2517
1	756	2476
2	2098	2376

Stop Event

1×	node limit

Counts

122 → 198

Calls

Call 1

Inputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (log.f64 -2) (log.f64 x))
(+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -2) (log.f64 x)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x)))))
(+.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 1/32 (/.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 1/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 1/192 (/.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))
(-.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 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(.f64 (/.f64 -1 (fma.f64 (pow.f64 x -3) 1/8 (.f64 8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(*.f64 (pow.f64 (E.f64) (log.f64 -1)) (pow.f64 (E.f64) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))) (pow.f64 (E.f64) (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))) (pow.f64 (E.f64) (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))))
(pow.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3) 1/3)
(pow.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) 2)
(pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)))
(pow.f64 (+.f64 1 (-.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)) 1)
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))) 1) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(neg.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))) -1))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 0)
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 0 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))) (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(+.f64 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)) (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)))
(+.f64 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))))
(+.f64 (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 (fma.f64 (pow.f64 x -3) 1/8 (*.f64 8 (pow.f64 x 3))))) (log.f64 (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2))))
(+.f64 (log.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 (pow.f64 x -2) 1/4)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 -1) (log.f64 (fma.f64 2 x (/.f64 1/2 x))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(-.f64 0 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1)
(-.f64 (log.f64 (/.f64 -1 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x))))) (log.f64 (sqrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(-.f64 (log.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) 2)))) (log.f64 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 -1 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 2 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2)))
(*.f64 1 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 3 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 1/3 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)) (+.f64 (pow.f64 (log.f64 -1) 2) (+.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (*.f64 (log.f64 -1) (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(neg.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log1p.f64 (-.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1) 1))
(fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 -1)) 2) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))

Outputs
(*.f64 -2 x)
(+.f64 (.f64 -2 x) (.f64 8 (pow.f64 x 3)))
(fma.f64 -2 x (*.f64 8 (pow.f64 x 3)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 8 (pow.f64 x 3) (fma.f64 -2 x (*.f64 -32 (pow.f64 x 5))))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -2 x (*.f64 -32 (pow.f64 x 5)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 -1/2 x))) (/.f64 -1/32 (pow.f64 x 5)))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/32 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/32 (pow.f64 x 5)) (/.f64 1/2 x))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/32 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/128 (pow.f64 x 7)) (/.f64 -1/2 x))) (/.f64 -1/32 (pow.f64 x 5)))
(+.f64 (log.f64 -2) (log.f64 x))
(+.f64 (*.f64 -4 (pow.f64 x 2)) (+.f64 (log.f64 -2) (log.f64 x)))
(fma.f64 -4 (*.f64 x x) (+.f64 (log.f64 -2) (log.f64 x)))
(+.f64 (log.f64 -2) (fma.f64 x (*.f64 x -4) (log.f64 x)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x))))
(fma.f64 -4 (*.f64 x x) (fma.f64 8 (pow.f64 x 4) (+.f64 (log.f64 -2) (log.f64 x))))
(+.f64 (fma.f64 x (*.f64 x -4) (log.f64 -2)) (fma.f64 8 (pow.f64 x 4) (log.f64 x)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (*.f64 8 (pow.f64 x 4)) (+.f64 (log.f64 -2) (log.f64 x)))))
(fma.f64 -4 (*.f64 x x) (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 8 (pow.f64 x 4) (+.f64 (log.f64 -2) (log.f64 x)))))
(+.f64 (fma.f64 -64/3 (pow.f64 x 6) (fma.f64 8 (pow.f64 x 4) (log.f64 -2))) (fma.f64 x (*.f64 x -4) (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (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 (-.f64 (log.f64 -1/2) (log.f64 x)) (/.f64 -1/4 (*.f64 x x)))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (/.f64 1/32 (pow.f64 x 4)))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (-.f64 (log.f64 -1/2) (log.f64 x)) (-.f64 (/.f64 1/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 -1/2) (-.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 1 x)) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 1/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (-.f64 (-.f64 (/.f64 1/32 (pow.f64 x 4)) (log.f64 x)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (+.f64 (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/192 (pow.f64 x 6))) (-.f64 (log.f64 -1/2) (log.f64 x))) (/.f64 1/32 (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 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (*.f64 x x)))))
(+.f64 (log.f64 1/2) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 -1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/32 (pow.f64 x 4)) (log.f64 1/2))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 1/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 1/2) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 (/.f64 1/32 (pow.f64 x 4)) (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/192 (pow.f64 x 6)))))
(+.f64 0 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 -1 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 1 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))) (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) -1) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2)) -1) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 x 2 (/.f64 1/2 x)) -2))) (cbrt.f64 (fma.f64 x 2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2) (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -1/2))
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (fma.f64 2 x (/.f64 1/2 x))) -1)
(/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(.f64 (/.f64 -1 (fma.f64 (pow.f64 x -3) 1/8 (.f64 8 (pow.f64 x 3)))) (fma.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/2 x) (+.f64 x x)) (pow.f64 (+.f64 x x) 2)))
(/.f64 (neg.f64 (fma.f64 (/.f64 1/2 x) (+.f64 (.f64 -2 x) (/.f64 1/2 x)) (.f64 4 (.f64 x x)))) (fma.f64 (pow.f64 x -3) 1/8 (.f64 8 (pow.f64 x 3))))
(neg.f64 (/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 8 (pow.f64 x 3) (*.f64 1/8 (pow.f64 x -3)))))
(.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 (pow.f64 x -2) 1/4))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(.f64 (/.f64 -1 (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 1/4 (pow.f64 x -2)))) (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (fma.f64 2 x (/.f64 -1/2 x))) (+.f64 (.f64 4 (.f64 x x)) (*.f64 (pow.f64 x -2) -1/4)))
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(*.f64 1 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x)))) 2)) (cbrt.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 3 (log.f64 (/.f64 -1 (cbrt.f64 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(*.f64 1/3 (log.f64 (pow.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x))) -3)))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)) (+.f64 (pow.f64 (log.f64 -1) 2) (+.f64 (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2) (*.f64 (log.f64 -1) (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 3)) (+.f64 (pow.f64 (log.f64 -1) 2) (.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) (log.f64 (+.f64 (.f64 -2 x) (/.f64 -1/2 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 3) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 3)) (fma.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))) (pow.f64 (log.f64 -1) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x))) 2)) (log.f64 (+.f64 (*.f64 -2 x) (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 -1) 2) (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 1/2 x))) 2)) (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 1)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (E.f64) (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2) 1/2)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3) 1/3)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 3)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 2)
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 2)) (cbrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))) 2)) (cbrt.f64 (log.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))) (sqrt.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))))) (sqrt.f64 (log.f64 (neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x)))))))
(neg.f64 (log.f64 (neg.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 2))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))) 3))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(log1p.f64 (-.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))) 1))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 1/3))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 3))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x)))))) 2))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))) 1) 1))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(fma.f64 1 (log.f64 -1) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 -1)) 2) (cbrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))
(fma.f64 (sqrt.f64 (log.f64 -1)) (sqrt.f64 (log.f64 -1)) (neg.f64 (log.f64 (fma.f64 2 x (/.f64 1/2 x)))))
(log.f64 (/.f64 -1 (fma.f64 2 x (/.f64 1/2 x))))
(neg.f64 (log.f64 (fma.f64 -2 x (/.f64 -1/2 x))))

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
	1.6b	(-.f64 x (hypot.f64 1 x))
✓	1.7b	(-.f64 (+.f64 1 (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))) 1)
	1.7b	(log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x))))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite73.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`prod-diff_binary64`
437×	`log-prod_binary64`
423×	`fma-def_binary64`
265×	`pow2_binary64`
228×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	225	12
2	3186	12

Stop Event

1×	node limit

Counts

1 → 86

Calls

Call 1

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

Outputs

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

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

516×	`distribute-rgt-in_binary64`
477×	`distribute-lft-in_binary64`
288×	`fma-neg_binary64`
264×	`cancel-sign-sub-inv_binary64`
249×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	2178
1	666	2094
2	1987	2059
3	7768	2059

Stop Event

1×	node limit

Counts

98 → 140

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓	0.2b	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
	0.5b	(+.f64 x (hypot.f64 1 x))
	1.7b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series22.0ms (0.3%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
6.0ms	x	@	inf	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
1.0ms	x	@	-inf	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms	x	@	inf	(cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
733×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
716×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	188	20
2	2042	20

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

902×	`times-frac_binary64`
512×	`unswap-sqr_binary64`
347×	`distribute-rgt-in_binary64`
338×	`distribute-lft-in_binary64`
329×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	287	2713
1	917	2353
2	3175	2227

Stop Event

1×	node limit

Counts

59 → 107

Calls

Call 1

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

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

eval739.0ms (10.9%)

Compiler: Compiled 19225 to 15592 computations (18.9% saved)

prune219.0ms (3.2%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	814	2	816
Fresh	0	1	1
Picked	1	0	1
Done	2	6	8
Total	817	9	826

Error

0.0b

Counts

826 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.0b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
✓	37.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	18.1b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	45.2b	(log.f64 (/.f64 -1/2 x))
✓	44.8b	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	44.6b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	43.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	45.3b	(log.f64 (+.f64 x x))
	35.5b	x

Compiler

Compiled 72 to 56 computations (22.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	0.8b	(-.f64 (hypot.f64 1 x) 1)
✓	2.0b	(+.f64 x (-.f64 (hypot.f64 1 x) 1))

Compiler

Compiled 26 to 19 computations (26.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite150.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`pow1_binary64`
790×	`add-log-exp_binary64`
789×	`expm1-log1p-u_binary64`
788×	`log1p-expm1-u_binary64`
774×	`add-exp-log_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	156	29
2	2159	26

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

Outputs

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

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

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

599×	`distribute-rgt-in_binary64`
544×	`distribute-lft-in_binary64`
484×	`unswap-sqr_binary64`
411×	`times-frac_binary64`
287×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	1833
1	743	1678
2	2518	1674

Stop Event

1×	node limit

Counts

118 → 194

Calls

Call 1

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

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

localize26.0ms (0.4%)

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))
✓	1.7b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)

Compiler

Compiled 40 to 31 computations (22.5% saved)

series1.0ms (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)

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`fma-def_binary64`
417×	`log-prod_binary64`
323×	`fma-neg_binary64`
316×	`exp-prod_binary64`
295×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	236	8
2	3179	8

Stop Event

1×	node limit

Counts

1 → 116

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 x (fma.f64 -1/6 (pow.f64 x 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 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 (*.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) 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 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))))) (#(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 (fma.f64 -1/6 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))))) (#(struct:change 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9) -1/216 (pow.f64 x 3)) (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 -1/6 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) (neg.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 2) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 2)) (-.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -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 (E.f64) 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x) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 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 hypot.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (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 expm1.f64 (*.f64 (log1p.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 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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1/3))))) (#(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 (fma.f64 -1/6 (pow.f64 x 3) x) 0)))) (#(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 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 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 x 1 (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/6) 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 (*.f64 -1/6 (pow.f64 x 3)) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 -1/6)) (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/6)) 2) (*.f64 x (cbrt.f64 -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 0)))) (#(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 (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) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) 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 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (*.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 x) (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (*.f64 x x)) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)))))

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

410×	`associate-+l+_binary64`
326×	`fma-neg_binary64`
324×	`associate-+r+_binary64`
310×	`cancel-sign-sub-inv_binary64`
239×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	2127
1	663	2004
2	1877	1968
3	7430	1968

Stop Event

1×	node limit

Counts

128 → 137

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 x (fma.f64 -1/6 (pow.f64 x 3) -1)))
(+.f64 1 (*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.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 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (log.f64 (sqrt.f64 (exp.f64 (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) 1)
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (cbrt.f64 (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 (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4))) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (-.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (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 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) (neg.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 2) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/36)) (-.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 2)) (-.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))))
(pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(pow.f64 (E.f64) (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) -1)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4))) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)) (cbrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (sqrt.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 -1/6) (pow.f64 x 3))))
(log.f64 (.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (exp.f64 x)))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 x 3)) (+.f64 1 (expm1.f64 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3))
(hypot.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (-.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (fma.f64 -1/6 (pow.f64 x 3) x))))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))
(expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.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))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3) 1/3))
(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 (fma.f64 -1/6 (pow.f64 x 3) x) 0)
(fma.f64 1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1)
(fma.f64 1 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 1 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 x 1 (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 x (.f64 (.f64 x x) -1/6) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3)) 1 x)
(fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1 0)
(fma.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 1 -1)
(fma.f64 (.f64 x x) (.f64 x -1/6) x)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 0)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) -1)
(fma.f64 (.f64 x (cbrt.f64 -1/6)) (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/6)) 2) (.f64 x (cbrt.f64 -1/6)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 0)
(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 (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) -1)
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) (.f64 (sqrt.f64 -1/6) (pow.f64 x 3/2)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))) 0)
(fma.f64 (+.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 3)) (/.f64 1 (fma.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)) -1)
(fma.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4)))) 0)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) 0)
(fma.f64 (-.f64 1 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (/.f64 1 (-.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) -1)
(fma.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))) 0)
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/6) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 2) (cbrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))
(fma.f64 (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) (sqrt.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1))) 1)
(fma.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 x -1))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) 0)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1)
(fma.f64 (.f64 -1/6 x) (.f64 x x) x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) 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)) 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 x (fma.f64 -1/6 (pow.f64 x 3) -1)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 1 (*.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 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 (*.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) 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 -1 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) -1)) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) 1) (+.f64 x -1))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (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 (cbrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (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 (pow.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(*.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 (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 1 (.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (*.f64 -1/6 (pow.f64 x 4)))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (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 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))))
(.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 1 (.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.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 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4))) (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 1 (/.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)) (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 1 (.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3)) (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (-.f64 1 (.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) -1))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 1 (.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 -1/6 (pow.f64 x 4)))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/36 (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (*.f64 x x)) (/.f64 1 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x)) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/36)) (fma.f64 (pow.f64 x 3) 1/6 x))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (pow.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) 2) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 1 (.f64 (+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1)) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x))))) (neg.f64 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (/.f64 1 (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (.f64 -1/6 (pow.f64 x 4)))))
(.f64 (fma.f64 (pow.f64 x 9) -1/216 (pow.f64 x 3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 6) 1/36 (.f64 x x)) (*.f64 1/6 (pow.f64 x 4)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/36) (.f64 x x))) (neg.f64 (fma.f64 -1/6 (pow.f64 x 3) (neg.f64 x))))
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(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) 0)
(.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(.f64 (+.f64 1 (hypot.f64 1 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)))) (expm1.f64 (.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1/2)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 x 3) x)) 1) 1)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 -1/6 x) (.f64 x x) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (.f64 -1/6 (.f64 x x)) x x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (*.f64 -1/6 (pow.f64 x 3/2)) (pow.f64 x 3/2) x)
(fma.f64 -1/6 (pow.f64 x 3) x)

eval164.0ms (2.4%)

Compiler: Compiled 6176 to 4770 computations (22.8% saved)

prune92.0ms (1.4%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	389	2	391
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	389	11	400

Error

Counts

400 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	62.0b	(-.f64 (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) 1)
✓	37.4b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	18.1b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
	37.1b	(log1p.f64 (+.f64 x (log.f64 (exp.f64 (+.f64 (hypot.f64 1 x) -1)))))
	32.0b	(log1p.f64 x)
✓	45.2b	(log.f64 (/.f64 -1/2 x))
✓	44.8b	(log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))))
✓	44.6b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	43.1b	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	45.3b	(log.f64 (+.f64 x x))
	35.5b	x

Compiler

Compiled 86 to 67 computations (22.1% saved)

regimes42.0ms (0.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	x
15.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.1b	2	`x`
8.4b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
8.4b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 154 to 115 computations (25.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	-1.5973857598144965	-0.022808148530741486

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 154 to 122 computations (20.8% saved)

regimes28.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 68 to 50 computations (26.5% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	3.0976371322492606e-14	392.3670850982138
21.0ms	-0.022808148530741486	-1.313984146786813e-8

Results

42.0ms

304×

body

256

valid

Compiler

Compiled 241 to 180 computations (25.3% saved)

regimes17.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 60 to 44 computations (26.7% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.0976371322492606e-14	392.3670850982138
14.0ms	-1.5973857598144965	-0.022808148530741486

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 345 to 273 computations (20.9% saved)

regimes22.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 54 to 40 computations (25.9% saved)

bsearch42.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	3.0976371322492606e-14	392.3670850982138
18.0ms	-1.5973857598144965	-0.022808148530741486

Results

38.0ms

272×

body

256

valid

Compiler

Compiled 385 to 313 computations (18.7% saved)

regimes15.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 42 to 30 computations (28.6% saved)

bsearch34.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.0976371322492606e-14	392.3670850982138
13.0ms	-1.5973857598144965	-0.022808148530741486

Results

30.0ms

272×

body

256

valid

Compiler

Compiled 329 to 264 computations (19.8% saved)

regimes23.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 21 to 13 computations (38.1% saved)

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	3.0976371322492606e-14	392.3670850982138
15.0ms	-1.5973857598144965	-0.022808148530741486

Results

33.0ms

272×

body

256

valid

Compiler

Compiled 269 to 204 computations (24.2% saved)

regimes20.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch35.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	3.0976371322492606e-14	392.3670850982138
13.0ms	-1.5973857598144965	-0.022808148530741486

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 167 to 119 computations (28.7% saved)

regimes12.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
18.3b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	3.0976371322492606e-14	392.3670850982138

Results

20.0ms

160×

body

256

valid

Compiler

Compiled 104 to 70 computations (32.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total -5.8b remaining (-18.8%)

Threshold costs -5.8b (-18.8%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(log1p.f64 x)

Outputs
x
(log1p.f64 x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
30.9b	2	`x`

Compiler

Compiled 6 to 3 computations (50% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	3.0976371322492606e-14	392.3670850982138

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 84 to 60 computations (28.6% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	294
1	80	294
2	84	294
3	86	294
4	87	294

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -3458764513820541/72057594037927936) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -3659834024223975/590295810358705651712) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 1770887431076117/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 6980579422424269/4503599627370496) x (log1p.f64 x))
x

Outputs
(if (<=.f64 x -3458764513820541/72057594037927936) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))))
(if (<=.f64 x -3458764513820541/72057594037927936) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(if (<=.f64 x -3458764513820541/72057594037927936) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x)))))
(if (<=.f64 x -3659834024223975/590295810358705651712) (log.f64 (/.f64 -1 (-.f64 x (hypot.f64 1 x)))) (if (<=.f64 x 1770887431076117/295147905179352825856) x (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 7378697629483821/9223372036854775808) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -4278419646001971/4503599627370496) (log.f64 (/.f64 -1 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 4278419646001971/4503599627370496) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 (.f64 x 2) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 6980579422424269/4503599627370496) x (log1p.f64 x))
x

Compiler

Compiled 209 to 153 computations (26.8% saved)

soundness81.0ms (1.2%)

Algorithm

4×	egg-herbie

Rules

680×	`fma-def_binary64`
673×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
367×	`log-prod_binary64`
225×	`associate-+l+_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	9
2	14	9
0	210	1257
1	551	1069
2	1721	993
3	6800	993
0	8	12
1	13	9
2	14	9
0	8	12
1	13	9
2	14	9

Stop Event

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

Compiler

Compiled 169 to 111 computations (34.3% saved)

end136.0ms (2%)

Compiler: Compiled 200 to 140 computations (30% saved)

Details

analyze91.0ms (1.3%)

sample3.0s (44.4%)

preprocess15.0ms (0.2%)

simplify6.0ms (0.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0.1%)

series4.0ms (0.1%)

rewrite58.0ms (0.9%)

simplify63.0ms (0.9%)

eval58.0ms (0.8%)

prune43.0ms (0.6%)

localize15.0ms (0.2%)

series3.0ms (0%)

rewrite46.0ms (0.7%)

simplify54.0ms (0.8%)

localize4.0ms (0.1%)

localize50.0ms (0.7%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (0.8%)

simplify50.0ms (0.7%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite54.0ms (0.8%)

simplify71.0ms (1.1%)

eval125.0ms (1.8%)

prune56.0ms (0.8%)

localize38.0ms (0.6%)

series3.0ms (0%)

rewrite60.0ms (0.9%)

simplify72.0ms (1.1%)

localize24.0ms (0.4%)

series1.0ms (0%)

rewrite73.0ms (1.1%)

simplify85.0ms (1.3%)

localize15.0ms (0.2%)

series22.0ms (0.3%)

rewrite50.0ms (0.7%)

simplify72.0ms (1.1%)

eval739.0ms (10.9%)

prune219.0ms (3.2%)

localize10.0ms (0.2%)

series3.0ms (0%)

rewrite150.0ms (2.2%)

simplify56.0ms (0.8%)

localize26.0ms (0.4%)

series1.0ms (0%)

rewrite62.0ms (0.9%)

simplify78.0ms (1.2%)

eval164.0ms (2.4%)

prune92.0ms (1.4%)

regimes42.0ms (0.6%)

bsearch16.0ms (0.2%)

regimes28.0ms (0.4%)

bsearch45.0ms (0.7%)

regimes17.0ms (0.3%)

bsearch34.0ms (0.5%)

regimes22.0ms (0.3%)

bsearch42.0ms (0.6%)

regimes15.0ms (0.2%)

bsearch34.0ms (0.5%)

regimes23.0ms (0.3%)

bsearch37.0ms (0.5%)

regimes20.0ms (0.3%)

bsearch35.0ms (0.5%)

regimes12.0ms (0.2%)

bsearch22.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch19.0ms (0.3%)

simplify12.0ms (0.2%)

soundness81.0ms (1.2%)

end136.0ms (2%)

Profiling