Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 4 to 3 computations (25% saved)

sample583.0ms (13.2%)

Results

573.0ms

8256×

body

256

valid

Bogosity

preprocess17.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% 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	10	17
1	15	14
2	16	14

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)

(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

eval1.0ms (0%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

29.8b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms	x	@	inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
1.0ms	x	@	-inf	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary64`
600×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
588×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	9
2	1873	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(log.f64 (+.f64 (fabs.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 (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)))))))))

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 (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)))))))))

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

611×	`times-frac_binary64`
446×	`fma-def_binary64`
412×	`associate-l_binary64`
371×	`associate-r_binary64`
300×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	662
1	331	614
2	1019	547
3	4839	512

Stop Event

1×	node limit

Counts

32 → 84

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.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 (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)))))

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 -1/24 (*.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (log1p.f64 x)))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 (fabs.f64 x)) x)) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 x (/.f64 (+.f64 1 x) x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 30 (pow.f64 (+.f64 1 x) 3)) (/.f64 45 (pow.f64 (+.f64 1 x) 2))) (/.f64 1/16 (+.f64 1 x))) (log1p.f64 x))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (log1p.f64 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 x x))
(+.f64 1 (log.f64 x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (/.f64 x x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (+.f64 (/.f64 1 (*.f64 x x)) -1) 1))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (fma.f64 1/6 (/.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (+.f64 (log.f64 x) (/.f64 x x))))
(fma.f64 1/2 (+.f64 (/.f64 1 (.f64 x x)) -1) (fma.f64 1/6 (/.f64 (fma.f64 x -3 (.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (+.f64 1 (log.f64 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 x x))
(-.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)))
(-.f64 (.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x))) (+.f64 (/.f64 x x) (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 1/2 (+.f64 (/.f64 1 (*.f64 x x)) -1) -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (fabs.f64 x) x) (.f64 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) -1/6))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (-.f64 (.f64 (/.f64 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) -1/6) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 x 1/2)) (pow.f64 x 3)) (/.f64 x x))) (log.f64 (/.f64 -1 x)))
(fma.f64 1/2 (+.f64 (/.f64 1 (.f64 x x)) -1) (-.f64 (fma.f64 (/.f64 (fma.f64 x -3 (.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) -1/6 -1) (log.f64 (/.f64 -1 x))))
(+.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 (fma.f64 x x (neg.f64 (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 (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))
(log1p.f64 (+.f64 x (-.f64 (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))))
(log1p.f64 (+.f64 x (+.f64 -1 (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval39.0ms (0.9%)

Compiler: Compiled 1753 to 1131 computations (35.5% saved)

prune20.0ms (0.5%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	73	11	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	12	85

Error

0.0b

Counts

85 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	30.8b	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
▶	57.6b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
	56.4b	(copysign.f64 (-.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)))) x)
	58.3b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	57.9b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	16.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
	22.0b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	27.3b	(copysign.f64 (log1p.f64 x) x)
✓	29.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
	46.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	51.4b	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	47.1b	(copysign.f64 (exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) x)

Compiler

Compiled 248 to 173 computations (30.2% saved)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	1.0b	(+.f64 x (-.f64 (hypot.f64 1 x) 1))
✓	1.9b	(-.f64 (hypot.f64 1 x) 1)

Compiler

Compiled 36 to 26 computations (27.8% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
1.0ms	x	@	-inf	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
1.0ms	x	@	0	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
1.0ms	x	@	-inf	(-.f64 (hypot.f64 1 x) 1)
0.0ms	x	@	0	(-.f64 (hypot.f64 1 x) 1)

rewrite49.0ms (1.1%)

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

Outputs

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

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

614×	`distribute-rgt-in_binary64`
558×	`distribute-lft-in_binary64`
484×	`unswap-sqr_binary64`
400×	`times-frac_binary64`
278×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	1833
1	751	1648
2	2578	1629

Stop Event

1×	node limit

Counts

118 → 190

Calls

Call 1

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

localize5.0ms (0.1%)

Compiler: Compiled 8 to 3 computations (62.5% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series39.0ms (0.9%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	0	(log.f64 (/.f64 -1 x))
13.0ms	x	@	-inf	(log.f64 (/.f64 -1 x))
6.0ms	x	@	inf	(log.f64 (/.f64 -1 x))

rewrite36.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
416×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	98	6
2	1108	6

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg_binary64`
677×	`fma-def_binary64`
280×	`distribute-rgt-in_binary64`
273×	`distribute-lft-in_binary64`
249×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	126	415
1	263	385
2	954	385
3	4744	385

Stop Event

1×	node limit

Counts

56 → 55

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.8b	(log.f64 (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series72.0ms (1.6%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
49.0ms	x	@	inf	(log.f64 (+.f64 1 (fabs.f64 x)))
11.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))
11.0ms	x	@	0	(log.f64 (+.f64 1 (fabs.f64 x)))

rewrite36.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`pow1_binary64`
474×	`add-sqr-sqrt_binary64`
452×	`add-log-exp_binary64`
452×	`log1p-expm1-u_binary64`
452×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	120	3
2	1473	3

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary64`
578×	`distribute-rgt-in_binary64`
526×	`distribute-lft-in_binary64`
337×	`log-prod_binary64`
237×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	114
1	116	102
2	373	102
3	2150	102
4	6522	102

Stop Event

1×	node limit

Counts

20 → 27

Calls

Call 1

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

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

localize19.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 43 to 24 computations (44.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
602×	`add-log-exp_binary64`
600×	`log1p-expm1-u_binary64`
600×	`expm1-log1p-u_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	198	9
2	3107	9

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))

Outputs

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

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg_binary64`
470×	`associate-l_binary64`
435×	`associate-r_binary64`
342×	`fma-def_binary64`
295×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	740
1	271	641
2	988	584
3	5929	560

Stop Event

1×	node limit

Counts

47 → 71

Calls

Call 1

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

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

eval122.0ms (2.8%)

Compiler: Compiled 6222 to 3839 computations (38.3% saved)

prune90.0ms (2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	388	10	398
Fresh	5	1	6
Picked	1	0	1
Done	1	4	5
Total	395	15	410

Error

Counts

410 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.9b	(copysign.f64 (/.f64 (neg.f64 x) x) x)
▶	56.6b	(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
	30.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
	46.7b	(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
	46.3b	(copysign.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) x)
✓	57.9b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
	49.4b	(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
▶	24.2b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	16.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
▶	48.6b	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)
	43.5b	(copysign.f64 (log1p.f64 (+.f64 x x)) x)
▶	63.1b	(copysign.f64 (log1p.f64 (+.f64 -1 (/.f64 -1/2 x))) x)
✓	27.3b	(copysign.f64 (log1p.f64 x) x)
✓	29.8b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
	46.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Compiler

Compiled 256 to 182 computations (28.9% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (hypot.f64 1 x))
✓	0.6b	(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
✓	1.0b	(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
✓	15.6b	(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))

Compiler

Compiled 60 to 35 computations (41.7% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite78.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
377×	`fma-def_binary64`
358×	`exp-prod_binary64`
306×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	54
1	199	54
2	2906	50

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))
(+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))
(log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x)))))
(+.f64 1 (hypot.f64 1 x))

Outputs
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simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

540×	`cancel-sign-sub-inv_binary64`
368×	`fma-neg_binary64`
276×	`sqr-pow_binary64`
207×	`exp-prod_binary64`
205×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	533	4741
1	1351	4287
2	4163	4273

Stop Event

1×	node limit

Counts

246 → 397

Calls

Call 1

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

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

localize6.0ms (0.1%)

Compiler: Compiled 14 to 4 computations (71.4% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.4b	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series29.0ms (0.7%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
10.0ms	x	@	0	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
10.0ms	x	@	-inf	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))
9.0ms	x	@	inf	(log1p.f64 (+.f64 -1 (/.f64 -1/2 x)))

rewrite43.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`pow1_binary64`
699×	`add-log-exp_binary64`
698×	`expm1-log1p-u_binary64`
697×	`log1p-expm1-u_binary64`
687×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	9
2	1862	9

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

338×	`distribute-rgt-neg-out_binary64`
329×	`log-prod_binary64`
327×	`distribute-rgt-in_binary64`
326×	`distribute-lft-neg-out_binary64`
312×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	274
1	87	182
2	291	182
3	1722	182
4	4822	182

Stop Event

1×	node limit

Counts

27 → 20

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (+.f64 1 (log1p.f64 x)) 1)

Compiler

Compiled 23 to 14 computations (39.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)

rewrite38.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`pow1_binary64`
587×	`add-log-exp_binary64`
587×	`expm1-log1p-u_binary64`
586×	`log1p-expm1-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	133	3
2	1854	3

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

683×	`distribute-rgt-in_binary64`
606×	`distribute-lft-in_binary64`
370×	`times-frac_binary64`
332×	`associate-+l+_binary64`
221×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	536
1	347	496
2	1399	490

Stop Event

1×	node limit

Counts

49 → 82

Calls

Call 1

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

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

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
✓	0.0b	(+.f64 (/.f64 1/2 x) (+.f64 x -1))
✓	0.0b	(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))

Compiler

Compiled 48 to 33 computations (31.3% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(+.f64 (/.f64 1/2 x) (+.f64 x -1))
1.0ms	x	@	-inf	(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
1.0ms	x	@	0	(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
1.0ms	x	@	inf	(log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1))))
0.0ms	x	@	0	(+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))

rewrite66.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`fma-def_binary64`
456×	`log-prod_binary64`
377×	`pow-prod-down_binary64`
335×	`fma-neg_binary64`
281×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	214	38
2	3302	38

Stop Event

1×	node limit

Counts

3 → 185

Calls

Call 1

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

Outputs

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

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Rules

630×	`times-frac_binary64`
584×	`fma-neg_binary64`
532×	`unswap-sqr_binary64`
229×	`log-prod_binary64`
221×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	472	4212
1	1279	3833
2	4039	3802

Stop Event

1×	node limit

Counts

221 → 315

Calls

Call 1

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

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

eval307.0ms (7%)

Compiler: Compiled 15937 to 11052 computations (30.7% saved)

prune178.0ms (4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	811	3	814
Fresh	1	5	6
Picked	0	1	1
Done	4	4	8
Total	816	13	829

Error

Counts

829 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.9b	(copysign.f64 (/.f64 (neg.f64 x) x) x)
▶	30.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	46.3b	(copysign.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) x)
	49.4b	(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
▶	29.3b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x)
✓	24.2b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	16.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
✓	48.6b	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)
▶	43.5b	(copysign.f64 (log1p.f64 (+.f64 x x)) x)
✓	27.3b	(copysign.f64 (log1p.f64 x) x)
	46.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	46.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	29.7b	(copysign.f64 x x)

Compiler

Compiled 203 to 136 computations (33% saved)

localize22.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 x x))
✓	16.2b	(/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x))))

Compiler

Compiled 73 to 36 computations (50.7% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`pow1_binary64`
903×	`add-log-exp_binary64`
902×	`log1p-expm1-u_binary64`
902×	`expm1-log1p-u_binary64`
91×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	181	21
2	2437	21

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

548×	`log-div_binary64`
543×	`log-prod_binary64`
418×	`associate-/l*_binary64`
338×	`associate-*l/_binary64`
259×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1001
1	434	988
2	1400	981
3	6021	957

Stop Event

1×	node limit

Counts

72 → 92

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize6.0ms (0.1%)

Compiler: Compiled 15 to 4 computations (73.3% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
499×	`add-sqr-sqrt_binary64`
477×	`add-log-exp_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1325	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1136×	`log-prod_binary64`
454×	`exp-sum_binary64`
411×	`distribute-rgt-in_binary64`
404×	`distribute-lft-in_binary64`
324×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	143
1	96	110
2	310	77
3	1861	77
4	5973	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize20.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.7b	(+.f64 x (hypot.f64 1 x))
✓	2.8b	(+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
✓	3.0b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 47 to 34 computations (27.7% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite56.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`pow1_binary64`
881×	`add-log-exp_binary64`
880×	`log1p-expm1-u_binary64`
880×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	183	25
2	2669	25

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

640×	`distribute-rgt-in_binary64`
563×	`distribute-lft-in_binary64`
442×	`unswap-sqr_binary64`
321×	`fma-neg_binary64`
217×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	2897
1	723	2663
2	2473	2645

Stop Event

1×	node limit

Counts

157 → 169

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

eval134.0ms (3%)

Compiler: Compiled 5763 to 4220 computations (26.8% saved)

prune62.0ms (1.4%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	273	2	275
Fresh	0	3	3
Picked	0	1	1
Done	0	9	9
Total	273	15	288

Error

Counts

288 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.9b	(copysign.f64 (/.f64 (neg.f64 x) x) x)
	30.8b	(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
✓	30.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	46.3b	(copysign.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)) x)
	59.5b	(copysign.f64 (+.f64 1 (-.f64 x 1)) x)
	49.4b	(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)
✓	29.3b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x)
✓	24.2b	(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 1 (hypot.f64 1 x))))) x)
✓	16.5b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
✓	48.6b	(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)
✓	43.5b	(copysign.f64 (log1p.f64 (+.f64 x x)) x)
✓	27.3b	(copysign.f64 (log1p.f64 x) x)
	46.7b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	46.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	29.7b	(copysign.f64 x x)

Compiler

Compiled 149 to 102 computations (31.5% saved)

regimes47.0ms (1.1%)

Counts

28 → 2

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)

Calls

2 calls:

27.0ms	x
10.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

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

Compiler

Compiled 282 to 179 computations (36.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-32.51186360269915	-4.143437680535483e-7

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes33.0ms (0.7%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 151 to 98 computations (35.1% saved)

bsearch44.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	4.564062329022819e-10	0.02507130281647225
26.0ms	-65870803853274.234	-4.143437681721251e-7

Results

40.0ms

320×

body

256

valid

Compiler

Compiled 415 to 301 computations (27.5% saved)

regimes30.0ms (0.7%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

(copysign.f64 (log1p.f64 (+.f64 x (/.f64 (*.f64 x x) (+.f64 2 (*.f64 1/2 (*.f64 x x)))))) x)

(copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 134 to 86 computations (35.8% saved)

bsearch48.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	0.07100476887572299	27416.893326600348
24.0ms	-65870803853274.234	-4.143437681721251e-7

Results

42.0ms

320×

body

256

valid

Compiler

Compiled 591 to 388 computations (34.3% saved)

regimes28.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 106 to 70 computations (34% saved)

bsearch43.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.07100476887572299	27416.893326600348
23.0ms	-65870803853274.234	-4.143437681721251e-7

Results

38.0ms

320×

body

256

valid

Compiler

Compiled 451 to 328 computations (27.3% saved)

regimes22.0ms (0.5%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 81 to 52 computations (35.8% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.07100476887572299	27416.893326600348
24.0ms	-65870803853274.234	-4.143437681721251e-7

Results

37.0ms

320×

body

256

valid

Compiler

Compiled 415 to 310 computations (25.3% saved)

regimes19.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 x x)
(copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 72 to 46 computations (36.1% saved)

bsearch43.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.07100476887572299	27416.893326600348
23.0ms	-65870803853274.234	-4.143437681721251e-7

Results

39.0ms

320×

body

256

valid

Compiler

Compiled 295 to 210 computations (28.8% saved)

regimes19.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 56 to 35 computations (37.5% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	0.07100476887572299	27416.893326600348
23.0ms	-65870803853274.234	-4.143437681721251e-7

Results

37.0ms

320×

body

256

valid

Compiler

Compiled 277 to 183 computations (33.9% saved)

regimes10.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
10.8b	2	`x`

Compiler

Compiled 29 to 17 computations (41.4% saved)

bsearch23.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
23.0ms	-65870803853274.234	-4.143437681721251e-7

Results

20.0ms

176×

body

256

valid

Compiler

Compiled 171 to 122 computations (28.7% saved)

regimes8.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (/.f64 (neg.f64 x) x) x)
(copysign.f64 (+.f64 1 (-.f64 x 1)) x)
(copysign.f64 (log1p.f64 x) x)

Outputs
(copysign.f64 (/.f64 (neg.f64 x) x) x)
(copysign.f64 (log1p.f64 x) x)

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
25.0b	2	`x`

Compiler

Compiled 23 to 13 computations (43.5% saved)

bsearch33.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-65870803853274.234	-4.143437681721251e-7

Results

31.0ms

176×

body

256

valid

Compiler

Compiled 171 to 111 computations (35.1% saved)

regimes9.0ms (0.2%)

Accuracy

Total -33.9b remaining (-125.8%)

Threshold costs -33.9b (-125.8%)

Counts

3 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (/.f64 (neg.f64 x) x) x)
(copysign.f64 (+.f64 1 (-.f64 x 1)) x)

Outputs
(copysign.f64 (/.f64 (neg.f64 x) x) x)
(copysign.f64 x x)
(copysign.f64 (/.f64 (neg.f64 x) x) x)

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
27.0b	3	`x`

Compiler

Compiled 19 to 11 computations (42.1% saved)

bsearch117.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	0.07100476887572299	27416.893326600348
64.0ms	-65870803853274.234	-4.143437681721251e-7

Results

113.0ms

320×

body

256

valid

Compiler

Compiled 277 to 172 computations (37.9% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	406
1	117	406
2	123	406
3	126	406
4	127	406

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5944751508129055/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log1p.f64 (-.f64 (.f64 2 x) 1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3152519739159347/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x -5764607523034235/9007199254740992) (copysign.f64 (/.f64 (neg.f64 x) x) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x -6) (copysign.f64 (/.f64 (neg.f64 x) x) x) (if (<=.f64 x 1) (copysign.f64 x x) (copysign.f64 (/.f64 (neg.f64 x) x) x)))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x) -20) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) x))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5944751508129055/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 1/2 (*.f64 x x)))))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)))
(if (<=.f64 x -5944751508129055/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (log1p.f64 (+.f64 x (/.f64 (.f64 x x) (+.f64 2 (.f64 (*.f64 x x) 1/2))))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 1080863910568919/1125899906842624) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log1p.f64 (+.f64 x (+.f64 (/.f64 1/2 x) (+.f64 x -1)))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log1p.f64 (-.f64 (.f64 2 x) 1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log1p.f64 (+.f64 (.f64 x 2) -1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log1p.f64 (+.f64 -1 (.f64 x 2))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (-.f64 (*.f64 2 x) 1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 (*.f64 x 2) -1)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 -1 (*.f64 x 2))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log1p.f64 (+.f64 x x)) x)))
(if (<=.f64 x -3152519739159347/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x -5764607523034235/9007199254740992) (copysign.f64 (/.f64 (neg.f64 x) x) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x -6) (copysign.f64 (/.f64 (neg.f64 x) x) x) (if (<=.f64 x 1) (copysign.f64 x x) (copysign.f64 (/.f64 (neg.f64 x) x) x)))
(copysign.f64 x x)

Compiler

Compiled 283 to 186 computations (34.3% saved)

soundness337.0ms (7.6%)

Algorithm

8×	egg-herbie

Rules

614×	`distribute-rgt-in_binary64`
611×	`times-frac_binary64`
611×	`times-frac_binary64`
611×	`times-frac_binary64`
558×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	15	14
2	16	14
0	129	662
1	331	614
2	1019	547
3	4839	512
0	274	1833
1	751	1648
2	2578	1629
0	46	274
1	87	182
2	291	182
3	1722	182
4	4822	182
0	10	17
1	15	14
2	16	14
0	129	662
1	331	614
2	1019	547
3	4839	512
0	10	17
1	15	14
2	16	14
0	129	662
1	331	614
2	1019	547
3	4839	512

Stop Event

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

Compiler

Compiled 244 to 188 computations (23% saved)

end207.0ms (4.7%)

Compiler: Compiled 273 to 167 computations (38.8% saved)