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)

sample619.0ms (20%)

Results

608.0ms

8256×

body

256

valid

Bogosity

preprocess14.0ms (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)

simplify10.0ms (0.3%)

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

29.5b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(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)))

rewrite39.0ms (1.3%)

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)))))))))

simplify43.0ms (1.4%)

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 (1.3%)

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

prune27.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	10	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	11	85

Error

0.2b

Counts

85 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	32.1b	(copysign.f64 (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))) x)
	31.9b	(copysign.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 x)) (log1p.f64 x)) x)
▶	57.7b	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
	57.8b	(copysign.f64 (+.f64 1 (log.f64 x)) x)
▶	58.0b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	16.0b	(copysign.f64 (log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1))) x)
	22.5b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	27.6b	(copysign.f64 (log1p.f64 x) x)
✓	29.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
	45.5b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	51.5b	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)

Compiler

Compiled 234 to 165 computations (29.5% saved)

localize16.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(log1p.f64 (+.f64 x (-.f64 (hypot.f64 1 x) 1)))
✓	1.1b	(-.f64 (hypot.f64 1 x) 1)
✓	1.5b	(+.f64 x (-.f64 (hypot.f64 1 x) 1))

Compiler

Compiled 36 to 26 computations (27.8% saved)

series5.0ms (0.2%)

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

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

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

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

Outputs

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

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

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

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

118 → 194

Calls

Call 1

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

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) 1)
(+.f64 (/.f64 1/2 x) (fma.f64 2 x -1))
(+.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (+.f64 1 (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 x) (fma.f64 2 x -1)) (/.f64 1/8 (pow.f64 x 3)))
(-.f64 (fma.f64 x 2 (/.f64 1/2 x)) (+.f64 1 (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (fma.f64 x 2 -1) (/.f64 -1/8 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 1/2 x)))
(-.f64 (/.f64 -1/2 x) 1)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 1 (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) 1))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (/.f64 -1/2 x) 1) (/.f64 -1/16 (pow.f64 x 5))))
(*.f64 1/2 (pow.f64 x 2))
(.f64 1/2 (.f64 x x))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))
(fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4)))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (.f64 -5/128 (pow.f64 x 8)))))
(fma.f64 1/16 (pow.f64 x 6) (fma.f64 1/2 (.f64 x x) (fma.f64 -5/128 (pow.f64 x 8) (.f64 -1/8 (pow.f64 x 4)))))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 x)) x) 1)
(+.f64 (/.f64 1/2 x) (+.f64 x -1))
(+.f64 x (-.f64 (/.f64 1/2 x) 1))
(+.f64 x (+.f64 (/.f64 1/2 x) -1))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (-.f64 x (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 x (-.f64 (/.f64 1/2 x) (+.f64 1 (/.f64 1/8 (pow.f64 x 3)))))
(+.f64 (/.f64 1/2 x) (+.f64 (+.f64 x -1) (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (.f64 -1 x) (+.f64 (.f64 1/2 (/.f64 1 x)) 1))
(-.f64 (-.f64 (neg.f64 x) (/.f64 1/2 x)) 1)
(+.f64 (-.f64 -1 x) (/.f64 -1/2 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (*.f64 1/2 (/.f64 1 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (neg.f64 x) (/.f64 1/2 x)) 1))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 -1 x) (/.f64 -1/2 x)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 5) (fma.f64 -5/112 (pow.f64 x 7) x)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 3/40 (fma.f64 -5/112 (pow.f64 x 7) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (*.f64 x x)) (log.f64 x)))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (-.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (+.f64 (log.f64 2) (/.f64 1/4 (*.f64 x x))) (-.f64 (log.f64 x) (/.f64 3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (log.f64 2) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x)))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (-.f64 (log.f64 2) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (/.f64 -1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 1/2) (/.f64 1/4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 1/2))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 1/4 (*.f64 x x)))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 1/2) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x)))) (-.f64 (/.f64 -5/96 (pow.f64 x 6)) (/.f64 1/4 (*.f64 x x))))
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(-.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)) (/.f64 (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2) (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (-.f64 (-.f64 x -1) (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (*.f64 x x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))
(*.f64 1 (+.f64 x (+.f64 (hypot.f64 1 x) -1)))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(*.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1)) 1)
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(*.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) 2) (cbrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(*.f64 (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))) (sqrt.f64 (+.f64 x (+.f64 (hypot.f64 1 x) -1))))
(+.f64 (-.f64 (hypot.f64 1 x) 1) x)
(-.f64 (hypot.f64 1 x) (-.f64 1 x))
(+.f64 (hypot.f64 1 x) (+.f64 x -1))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 -1 (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 3)) (fma.f64 x x (*.f64 (+.f64 -1 (hypot.f64 1 x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 2)) (/.f64 1 (+.f64 (-.f64 x (hypot.f64 1 x)) 1)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (+.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2)) (-.f64 (-.f64 x -1) (hypot.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 -1 (hypot.f64 1 x)) 2) (*.f64 x x)) (+.f64 (hypot.f64 1 x) (-.f64 -1 x)))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 (hypot.f64 1 x) -1) (-.f64 (+.f64 (hypot.f64 1 x) -1) x))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 (hypot.f64 1 x) -1) 3))))
(.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)))))
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(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 (0.2%)

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

localize13.0ms (0.4%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(log.f64 (+.f64 1 (fabs.f64 x)))

Compiler

Compiled 21 to 12 computations (42.9% saved)

series55.0ms (1.8%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(log.f64 (+.f64 1 (fabs.f64 x)))
17.0ms	x	@	-inf	(log.f64 (+.f64 1 (fabs.f64 x)))
16.0ms	x	@	inf	(log.f64 (+.f64 1 (fabs.f64 x)))

rewrite37.0ms (1.2%)

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 (1.2%)

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 (0.6%)

Compiler: Compiled 43 to 24 computations (44.2% saved)

eval72.0ms (2.3%)

Compiler: Compiled 3508 to 2538 computations (27.7% saved)

prune36.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	216	5	221
Fresh	5	0	5
Picked	1	0	1
Done	2	3	5
Total	224	8	232

Error

Counts

232 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	56.6b	(copysign.f64 (-.f64 (+.f64 1 (log1p.f64 x)) 1) x)
▶	31.8b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	47.0b	(copysign.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) x)
✓	58.0b	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	63.1b	(copysign.f64 (log1p.f64 (-.f64 (/.f64 -1/2 x) 1)) x)
▶	42.0b	(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
✓	27.6b	(copysign.f64 (log1p.f64 x) x)
✓	29.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 113 to 84 computations (25.7% saved)

localize21.0ms (0.7%)

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 (0.1%)

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))

rewrite280.0ms (9%)

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))))))))

simplify40.0ms (1.3%)

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))

localize243.0ms (7.8%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series42.0ms (1.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
10.0ms	x	@	-inf	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))
6.0ms	x	@	inf	(log1p.f64 (-.f64 (/.f64 -1/2 x) 1))

rewrite46.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

691×	`pow1_binary64`
647×	`add-log-exp_binary64`
646×	`expm1-log1p-u_binary64`
645×	`log1p-expm1-u_binary64`
636×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	151	6
2	1838	6

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify42.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

403×	`fma-neg_binary64`
353×	`log-prod_binary64`
309×	`associate-+r+_binary64`
278×	`distribute-rgt-neg-out_binary64`
278×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	258
1	119	248
2	424	248
3	2874	248
4	5379	248

Stop Event

1×	node limit

Counts

35 → 29

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

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

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.2b	(-.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
0.0ms	x	@	0	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (log1p.f64 x)) 1)

rewrite40.0ms (1.3%)

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)))))

simplify34.0ms (1.1%)

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)

localize21.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

series33.0ms (1.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
9.0ms	x	@	-inf	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
8.0ms	x	@	inf	(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))

rewrite53.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
776×	`add-log-exp_binary64`
776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
761×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	169	6
2	2109	6

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

577×	`fma-neg_binary64`
570×	`associate-/r*_binary64`
543×	`div-sub_binary64`
416×	`cancel-sign-sub-inv_binary64`
289×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	778
1	236	675
2	672	620
3	3426	554

Stop Event

1×	node limit

Counts

43 → 48

Calls

Call 1

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

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

eval47.0ms (1.5%)

Compiler: Compiled 2399 to 1751 computations (27% saved)

prune23.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	0	0	0
Picked	1	0	1
Done	4	3	7
Total	176	5	181

Error

Counts

181 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	42.0b	(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
✓	27.6b	(copysign.f64 (log1p.f64 x) x)
▶	46.9b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	30.8b	(copysign.f64 x x)

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize8.0ms (0.3%)

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

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series20.0ms (0.6%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))
6.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 -1/2 x))

rewrite36.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`pow1_binary64`
465×	`add-sqr-sqrt_binary64`
453×	`*-un-lft-identity_binary64`
443×	`add-log-exp_binary64`
442×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	105	6
2	1212	6

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
435×	`log-prod_binary64`
311×	`associate-l_binary64`
295×	`associate-r_binary64`
255×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	300
1	163	290
2	552	290
3	3396	290
4	7039	290

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

eval8.0ms (0.3%)

Compiler: Compiled 396 to 294 computations (25.8% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	36	5	41

Error

Counts

41 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.8b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	42.0b	(copysign.f64 (log1p.f64 (*.f64 x 2)) x)
✓	27.6b	(copysign.f64 (log1p.f64 x) x)
✓	46.9b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	30.8b	(copysign.f64 x x)

Compiler

Compiled 33 to 22 computations (33.3% saved)

regimes39.0ms (1.3%)

Counts

19 → 2

Calls

Call 1

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

19.0ms	x
8.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Error	Segments	Branch
0.3b	2	`x`
0.3b	2	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 188 to 119 computations (36.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-34.3990080859092	-8.059028779918665e-5

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes24.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0b	3	`x`

Compiler

Compiled 89 to 58 computations (34.8% saved)

bsearch44.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	2.9584028867290757e-5	1.335865610582886e+20
23.0ms	-434779840606061.2	-8.059028788641334e-5

Results

39.0ms

336×

body

256

valid

Compiler

Compiled 416 to 306 computations (26.4% saved)

regimes18.0ms (0.6%)

Counts

8 → 3

Calls

Call 1

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 51 to 33 computations (35.3% saved)

bsearch44.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.9584028867290757e-5	1.335865610582886e+20
20.0ms	-434779840606061.2	-8.059028788641334e-5

Results

40.0ms

336×

body

256

valid

Compiler

Compiled 290 to 201 computations (30.7% saved)

regimes10.0ms (0.3%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 x 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:

10.0ms

Results

Error	Segments	Branch
11.4b	2	`x`

Compiler

Compiled 16 to 9 computations (43.8% saved)

bsearch22.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
22.0ms	-434779840606061.2	-8.059028788641334e-5

Results

20.0ms

160×

body

256

valid

Compiler

Compiled 157 to 112 computations (28.7% saved)

regimes6.0ms (0.2%)

Accuracy

Total -5.5b remaining (-20.7%)

Threshold costs -5.5b (-20.7%)

Counts

2 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (log1p.f64 x) x)

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
26.5b	2	`x`

Compiler

Compiled 10 to 5 computations (50% saved)

bsearch21.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	2.9584028867290757e-5	1.335865610582886e+20

Results

19.0ms

176×

body

256

valid

Compiler

Compiled 138 to 89 computations (35.5% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	166
1	61	166
2	62	166

Stop Event

1×	done
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 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log1p.f64 (.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 2)) x)))
(if (<=.f64 x -3152519739159347/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 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 5/4) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) x) (copysign.f64 (log1p.f64 (.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 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log1p.f64 (.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 2)) x)))
(if (<=.f64 x -3152519739159347/4503599627370496) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 117 to 79 computations (32.5% saved)

soundness413.0ms (13.3%)

Algorithm

9×	egg-herbie

Rules

611×	`times-frac_binary64`
611×	`times-frac_binary64`
611×	`times-frac_binary64`
599×	`distribute-rgt-in_binary64`
599×	`distribute-rgt-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	743	1678
2	2518	1674
0	65	258
1	119	248
2	424	248
3	2874	248
4	5379	248
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
0	274	1833
1	743	1678
2	2518	1674

Stop Event

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

Compiler

Compiled 262 to 203 computations (22.5% saved)

end64.0ms (2.1%)

Compiler: Compiled 112 to 70 computations (37.5% saved)

Details

analyze0.0ms (0%)

sample619.0ms (20%)

preprocess14.0ms (0.4%)

simplify10.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.4%)

series3.0ms (0.1%)

rewrite39.0ms (1.3%)

simplify43.0ms (1.4%)

eval39.0ms (1.3%)

prune27.0ms (0.9%)

localize16.0ms (0.5%)

series5.0ms (0.2%)

rewrite53.0ms (1.7%)

simplify51.0ms (1.7%)

localize5.0ms (0.2%)

localize13.0ms (0.4%)

localize10.0ms (0.3%)

series55.0ms (1.8%)

rewrite37.0ms (1.2%)

simplify38.0ms (1.2%)

localize19.0ms (0.6%)

eval72.0ms (2.3%)

prune36.0ms (1.2%)

localize21.0ms (0.7%)

series2.0ms (0.1%)

rewrite280.0ms (9%)

simplify40.0ms (1.3%)

localize243.0ms (7.8%)

localize12.0ms (0.4%)

series42.0ms (1.4%)

rewrite46.0ms (1.5%)

simplify42.0ms (1.4%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite40.0ms (1.3%)

simplify34.0ms (1.1%)

localize21.0ms (0.7%)

series33.0ms (1.1%)

rewrite53.0ms (1.7%)

simplify44.0ms (1.4%)

eval47.0ms (1.5%)

prune23.0ms (0.7%)

localize8.0ms (0.3%)

localize9.0ms (0.3%)

series20.0ms (0.6%)

rewrite36.0ms (1.1%)

simplify43.0ms (1.4%)

eval8.0ms (0.3%)

prune6.0ms (0.2%)

regimes39.0ms (1.3%)

bsearch0.0ms (0%)

regimes24.0ms (0.8%)

bsearch44.0ms (1.4%)

regimes18.0ms (0.6%)

bsearch44.0ms (1.4%)

regimes10.0ms (0.3%)

bsearch22.0ms (0.7%)

regimes6.0ms (0.2%)

bsearch21.0ms (0.7%)

simplify7.0ms (0.2%)

soundness413.0ms (13.3%)

end64.0ms (2.1%)

Profiling