Metrics for Rust f64::asinh

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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-asinh, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.1s (14.9%)

Results

972.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

Operation ival-asinh, time spent: 158.0ms, 95.0% of total-time

Operation const, time spent: 8.0ms, 5.0% of total-time

Bogosity

preprocess394.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

106×	`fma-define`
42×	`fma-neg`
24×	`unsub-neg`
24×	`sub-neg`
20×	`neg-mul-1`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
136	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
62	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) 1))`
0	-	-	`x`
0	-	-	`(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))`
0	-	-	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`
0	-	-	`(+.f64 (*.f64 x x) 1)`
0	-	-	`(*.f64 x x)`
0	-	-	`(fabs.f64 x)`
0	-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

Stop Event

1×

saturated

Calls

Call 1

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

Results

70.0ms	301×	256	valid
150.0ms	138×	1024	valid
35.0ms	58×	512	valid
22.0ms	14×	2048	valid
0.0ms	1×	256	valid

Compiler

Compiled 115 to 59 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

Operation ival-log, time spent: 100.0ms, 47.0% of total-time

Operation ival-add, time spent: 42.0ms, 20.0% of total-time

Operation ival-sqrt, time spent: 40.0ms, 19.0% of total-time

Operation ival-copysign, time spent: 12.0ms, 6.0% of total-time

Operation ival-mult, time spent: 7.0ms, 3.0% of total-time

Operation ival-fabs, time spent: 6.0ms, 3.0% of total-time

Operation const, time spent: 4.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 21 to 13 computations (38.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
▶	28.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Compiler

Compiled 23 to 16 computations (30.4% saved)

localize327.0ms (4.4%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	51.1%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))
✓	100.0%	(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	77.6%	(sqrt.f64 (+.f64 (*.f64 x x) 1))
✓	51.1%	(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

66.0ms	150×	256	valid
150.0ms	69×	1024	valid
42.0ms	29×	512	valid
20.0ms	7×	2048	valid
0.0ms	1×	256	valid

Compiler

Compiled 80 to 40 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

Operation ival-log, time spent: 99.0ms, 36.0% of total-time

Operation composed, time spent: 60.0ms, 22.0% of total-time

Operation ival-add, time spent: 45.0ms, 16.0% of total-time

Operation ival-mult, time spent: 31.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 28.0ms, 10.0% of total-time

Operation ival-copysign, time spent: 8.0ms, 3.0% of total-time

Operation const, time spent: 3.0ms, 1.0% of total-time

Operation ival-fabs, time spent: 3.0ms, 1.0% of total-time

series14.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) 1))>
#<alt (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))>
#<alt (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))>
#<alt (+.f64 (fabs.f64 x) (hypot.f64 1 x))>

Outputs
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))>
#<alt (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))>
#<alt (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 x 2) (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))>
#<alt (+.f64 (.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 (fabs.f64 x) x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 1 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 (fabs.f64 x) x))))>
#<alt (*.f64 -1 (log.f64 (/.f64 -1 x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) x))) x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x)) (.f64 1/2 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) x))) x)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 (pow.f64 x 2)))>
#<alt (+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2)))))>
#<alt (+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))>
#<alt (.f64 x (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 -1 (.f64 x (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4)))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))))>
#<alt (+.f64 1 (fabs.f64 x))>
#<alt (+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))>
#<alt (+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2))))))>
#<alt (+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8))))))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (/.f64 (fabs.f64 x) x)))>
#<alt (*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))>
#<alt (.f64 x (-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))) (.f64 1/8 (/.f64 1 (pow.f64 x 4)))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 (/.f64 (fabs.f64 x) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))) x)))))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))>
#<alt (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))>
#<alt (+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 x 2) (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))>
#<alt (+.f64 (.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 (fabs.f64 x) x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 1 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 (fabs.f64 x) x))))>
#<alt (*.f64 -1 (log.f64 (/.f64 -1 x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) x))) x)))>
#<alt (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x)) (.f64 1/2 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) x))) x)))>
#<alt (+.f64 1 (fabs.f64 x))>
#<alt (+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))>
#<alt (+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2))))))>
#<alt (+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8))))))>
#<alt x>
#<alt (*.f64 x (+.f64 1 (/.f64 (fabs.f64 x) x)))>
#<alt (*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))>
#<alt (.f64 x (-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))) (.f64 1/8 (/.f64 1 (pow.f64 x 4)))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 (/.f64 (fabs.f64 x) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))) x)))))>

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(+ (fabs x) (sqrt (+ (* x x) 1)))
2.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms	x	@	inf	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms	x	@	-inf	(log (+ (fabs x) (sqrt (+ (* x x) 1))))
1.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))

rewrite246.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`unpow-prod-down`
776×	`fma-define`
693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
622×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	245	94
2	2357	94

Stop Event

1×	node limit

Counts

5 → 347

Calls

Call 1

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

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

simplify204.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1532×	`distribute-lft-in`
708×	`times-frac`
646×	`unswap-sqr`
536×	`associate-r`
526×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	627	17192
1	1325	16768
2	3994	15448

Stop Event

1×	node limit

Counts

407 → 367

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 x 2) (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))))) (*.f64 1/2 (/.f64 1 (+.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 (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 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 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 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) x))) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x)) (.f64 1/2 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) x))) x)))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2)))))
(+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))
x
(.f64 x (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))
(.f64 x (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4)))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8))))))
x
(*.f64 x (+.f64 1 (/.f64 (fabs.f64 x) x)))
(*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))
(.f64 x (-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))) (.f64 1/8 (/.f64 1 (pow.f64 x 4)))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 (/.f64 (fabs.f64 x) x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))) x)))))
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 x 2) (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))))) (*.f64 1/2 (/.f64 1 (+.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 (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 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 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 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) x))) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x)) (.f64 1/2 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) x))) x)))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8))))))
x
(*.f64 x (+.f64 1 (/.f64 (fabs.f64 x) x)))
(*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))
(.f64 x (-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))) (.f64 1/8 (/.f64 1 (pow.f64 x 4)))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 (/.f64 (fabs.f64 x) x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))) x)))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.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 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.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 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3) (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(fma.f64 x 1 (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (hypot.f64 1 x) 1 x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (pow.f64 x 2) (fma.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))
(fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))) (/.f64 1/2 (+.f64 1 x))) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 x 2) (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 (*.f64 1/720 (pow.f64 x 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))))) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 1/720 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 1/720 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 45 (+.f64 1 x)) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 x) 2)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))))) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))) (/.f64 1/2 (+.f64 1 x))) (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 (.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 (fabs.f64 x) x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 x x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 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 (fabs.f64 x) x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/6 (/.f64 (fma.f64 -3 (fabs.f64 x) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))
(+.f64 (log.f64 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 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))
(+.f64 (log.f64 x) (fma.f64 1/6 (/.f64 (fma.f64 x -3 (*.f64 2 (pow.f64 x 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 x 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 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) x))) x)))
(.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x))) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) x) (fabs.f64 x)) x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) x) x) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x)) (.f64 1/2 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) x))) x)))
(.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (+.f64 (fabs.f64 x) (neg.f64 (/.f64 (fma.f64 -1/6 (/.f64 (fma.f64 -3 (fabs.f64 x) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x) (+.f64 1/2 (*.f64 (neg.f64 (pow.f64 (fabs.f64 x) 2)) 1/2))) x))) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 1/2 (-.f64 1 (pow.f64 x 2)) (.f64 -1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3))) x))) x)) x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (-.f64 x (/.f64 (fma.f64 1/2 (-.f64 1 (pow.f64 x 2)) (.f64 -1/6 (/.f64 (fma.f64 x -3 (.f64 2 (pow.f64 x 3))) x))) x)) x))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) 1)
(+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2)))))
(+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) -1/8))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/8 1/2) 1)
(+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8)))))
(+.f64 1 (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 2) -1/8)))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/16 -1/8) 1/2) 1)
x
(.f64 x (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (+.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(.f64 x (-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 x (+.f64 1 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 -1/8 (pow.f64 x 4)))))
(.f64 x (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 x (+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 6))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (-.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 1/8 (pow.f64 x 4))))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 -1/8 (pow.f64 x 4))))))
(*.f64 -1 x)
(neg.f64 x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (+.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 (+.f64 1 (/.f64 1/2 (pow.f64 x 2))) (neg.f64 x))
(*.f64 x (+.f64 -1 (/.f64 -1/2 (pow.f64 x 2))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 (neg.f64 x) (+.f64 1 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (neg.f64 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 -1/8 (pow.f64 x 4))))))
(*.f64 x (+.f64 (/.f64 -1/2 (pow.f64 x 2)) (neg.f64 (+.f64 1 (/.f64 -1/8 (pow.f64 x 4))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 (neg.f64 x) (+.f64 1 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 6))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (neg.f64 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (-.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 1/8 (pow.f64 x 4)))))))
(*.f64 x (+.f64 -1 (neg.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 -1/8 (pow.f64 x 4)))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 x)
(+.f64 1 (+.f64 (fabs.f64 x) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) -1/8)))))
(+.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/8 1/2) (fabs.f64 x)))
(+.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -1/8 1/2) x))
(+.f64 1 (+.f64 (fabs.f64 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 1/16 (pow.f64 x 2)) 1/8))))))
(+.f64 (+.f64 1 (fabs.f64 x)) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 2) -1/8)))))
(+.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/16 -1/8) 1/2) (fabs.f64 x)))
(+.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 1/16 -1/8) 1/2) x))
x
(*.f64 x (+.f64 1 (/.f64 (fabs.f64 x) x)))
(+.f64 x (/.f64 (pow.f64 x 2) x))
(*.f64 x (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 x x) (/.f64 1/2 (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))) (.f64 1/8 (/.f64 1 (pow.f64 x 4)))))
(*.f64 x (+.f64 1 (-.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 1/2 (pow.f64 x 2))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 -1/8 (pow.f64 x 4))))))
(*.f64 x (+.f64 (+.f64 (/.f64 x x) (/.f64 1/2 (pow.f64 x 2))) (+.f64 1 (/.f64 -1/8 (pow.f64 x 4)))))
(*.f64 -1 x)
(neg.f64 x)
(.f64 -1 (.f64 x (+.f64 1 (*.f64 -1 (/.f64 (fabs.f64 x) x)))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (fabs.f64 x) x))))
(*.f64 (-.f64 1 (/.f64 (fabs.f64 x) x)) (neg.f64 x))
(+.f64 (neg.f64 x) (/.f64 (pow.f64 x 2) x))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (-.f64 (fabs.f64 x) (.f64 1/2 (/.f64 1 x))) x)))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 1/2 x)) x))))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 (+.f64 (fabs.f64 x) (/.f64 -1/2 x)) x))))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 (+.f64 x (/.f64 -1/2 x)) x))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))) x)))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (+.f64 (fabs.f64 x) (neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x))) x))))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 (-.f64 (fabs.f64 x) (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) x))))
(*.f64 (-.f64 1 (/.f64 (-.f64 x (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) x)) (neg.f64 x))
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (pow.f64 x 2) (fma.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))
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(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (E.f64) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (pow.f64 (E.f64) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(/.f64 (pow.f64 (E.f64) (log.f64 -1)) (pow.f64 (E.f64) (log.f64 (-.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) -1)
(/.f64 1 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
(/.f64 -1 (-.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (exp.f64 (hypot.f64 1 x)) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (exp.f64 x)))
(+.f64 x (hypot.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 x))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1/3))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 x 1 (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (hypot.f64 1 x) 1 x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (hypot.f64 1 x)) (cbrt.f64 (fma.f64 x x 1)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 4)) (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x 1))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) x)
(fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))

eval163.0ms (2.2%)

Compiler: Compiled 7183 to 5125 computations (28.7% saved)

prune64.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	355	12	367
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	357	12	369

Accuracy

99.7%

Counts

369 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(copysign.f64 (fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))) (/.f64 1/2 (+.f64 1 x))) (log1p.f64 x)) x)
	53.9%	(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
	9.4%	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
▶	9.2%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
	28.4%	(copysign.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
	9.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	67.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	59.5%	(copysign.f64 (log1p.f64 x) x)
▶	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
▶	26.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
	19.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
	28.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Compiler

Compiled 266 to 188 computations (29.3% saved)

localize378.0ms (5%)

Results

341.0ms	255×	256	invalid
0.0ms	1×	256	invalid

Compiler

Compiled 83 to 18 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 606.0ms

Operation ival-log, time spent: 291.0ms, 48.0% of total-time

Operation composed, time spent: 288.0ms, 47.0% of total-time

Operation ival-copysign, time spent: 10.0ms, 2.0% of total-time

Operation ival-add, time spent: 8.0ms, 1.0% of total-time

Operation ival-fabs, time spent: 6.0ms, 1.0% of total-time

Operation ival-div, time spent: 2.0ms, 0.0% of total-time

Operation const, time spent: 1.0ms, 0.0% of total-time

Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune24.0ms (0.3%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	5	5
Done	0	0
Total	12	12

Accuracy

99.7%

Counts

12 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(copysign.f64 (fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))) (/.f64 1/2 (+.f64 1 x))) (log1p.f64 x)) x)
▶	53.9%	(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
▶	9.4%	(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
✓	9.2%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
	28.4%	(copysign.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
▶	9.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓	67.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	59.5%	(copysign.f64 (log1p.f64 x) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
✓	26.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
▶	19.0%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
▶	28.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Compiler

Compiled 229 to 165 computations (27.9% saved)

localize622.0ms (8.3%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 -1 x))
✓	75.1%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	75.0%	(log.f64 (+.f64 (fabs.f64 x) 1))
✓	100.0%	(log.f64 (/.f64 -1 x))
✓	100.0%	(/.f64 (pow.f64 x 2) (+.f64 1 x))

Results

340.0ms	186×	256	invalid
131.0ms	33×	1024	valid
40.0ms	18×	512	valid
17.0ms	18×	256	valid
1.0ms	1×	256	invalid

Compiler

Compiled 152 to 93 computations (38.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 532.0ms

Operation ival-div, time spent: 219.0ms, 41.0% of total-time

Operation ival-log, time spent: 113.0ms, 21.0% of total-time

Operation composed, time spent: 76.0ms, 14.0% of total-time

Operation ival-add, time spent: 31.0ms, 6.0% of total-time

Operation ival-mult, time spent: 25.0ms, 5.0% of total-time

Operation ival-copysign, time spent: 16.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 14.0ms, 3.0% of total-time

Operation ival-pow, time spent: 14.0ms, 3.0% of total-time

Operation ival-neg, time spent: 12.0ms, 2.0% of total-time

Operation const, time spent: 7.0ms, 1.0% of total-time

Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 0.0% of total-time

series351.0ms (4.7%)

Counts

5 → 52

Calls

Call 1

Inputs
#<alt (/.f64 (pow.f64 x 2) (+.f64 1 x))>
#<alt (log.f64 (/.f64 -1 x))>
#<alt (log.f64 (+.f64 (fabs.f64 x) 1))>
#<alt (log.f64 (+.f64 x (hypot.f64 1 x)))>
#<alt (log.f64 (/.f64 -1 x))>

Outputs
#<alt (pow.f64 x 2)>
#<alt (.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1 x)))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1 (.f64 x (-.f64 x 1))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1 (.f64 -1 x))) 1))))>
#<alt x>
#<alt (*.f64 x (-.f64 1 (/.f64 1 x)))>
#<alt (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))>
#<alt (*.f64 x (-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))>
#<alt x>
#<alt (.f64 -1 (.f64 x (-.f64 (/.f64 1 x) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 1 x) 1) x)) 1)))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 x) 1) x)) 1) x)) 1)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt (log.f64 (+.f64 1 (fabs.f64 x)))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))>
#<alt (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/40 (.f64 -5/112 (pow.f64 x 2)))) 1/6))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 1 x)))>

Calls

15 calls:

Time	Variable		Point	Expression
257.0ms	x	@	inf	(log (+ (fabs x) 1))
32.0ms	x	@	0	(log (/ -1 x))
21.0ms	x	@	-inf	(log (/ -1 x))
14.0ms	x	@	-inf	(log (+ (fabs x) 1))
14.0ms	x	@	0	(log (+ (fabs x) 1))

rewrite131.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`log1p-expm1-u`
1186×	`expm1-log1p-u`
150×	`associate-r`
130×	`add-exp-log`
128×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	94
1	288	84
2	4001	84

Stop Event

1×	node limit

Counts

5 → 137

Calls

Call 1

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

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

simplify162.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1524×	`fma-define`
1068×	`fma-neg`
776×	`unsub-neg`
684×	`sub-neg`
566×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	354	5015
1	750	4895
2	2164	4446
3	6293	4406

Stop Event

1×	node limit

Counts

189 → 210

Calls

Call 1

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

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

eval87.0ms (1.2%)

Compiler: Compiled 3783 to 2575 computations (31.9% saved)

prune40.0ms (0.5%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	242	3	245
Fresh	2	0	2
Picked	3	2	5
Done	0	5	5
Total	247	10	257

Accuracy

100.0%

Counts

257 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.8%	(copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x)
✓	9.2%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
▶	54.5%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
▶	54.4%	(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x)
✓	9.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
✓	67.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	59.5%	(copysign.f64 (log1p.f64 x) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
✓	26.1%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
✓	28.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Compiler

Compiled 91 to 63 computations (30.8% saved)

localize322.0ms (4.3%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.8%	(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))
✓	99.9%	(*.f64 (pow.f64 x 3) -1/6)
✓	100.0%	(-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)
✓	100.0%	(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))
✓	99.9%	(.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (pow.f64 x 2)) 1/6))
✓	99.8%	(*.f64 3/40 (pow.f64 x 2))

Results

85.0ms	127×	256	invalid
97.0ms	74×	256	valid
45.0ms	54×	256	infinite
1.0ms	1×	256	infinite

Compiler

Compiled 128 to 94 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 183.0ms

Operation ival-pow, time spent: 98.0ms, 54.0% of total-time

Operation ival-mult, time spent: 30.0ms, 16.0% of total-time

Operation ival-copysign, time spent: 15.0ms, 8.0% of total-time

Operation ival-log, time spent: 15.0ms, 8.0% of total-time

Operation ival-sub, time spent: 10.0ms, 5.0% of total-time

Operation ival-add, time spent: 7.0ms, 4.0% of total-time

Operation const, time spent: 6.0ms, 3.0% of total-time

Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series52.0ms (0.7%)

Counts

6 → 52

Calls

Call 1

Inputs
#<alt (*.f64 3/40 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (pow.f64 x 2)) 1/6))>
#<alt (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))>
#<alt (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)>
#<alt (*.f64 (pow.f64 x 3) -1/6)>
#<alt (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))>

Outputs
#<alt (*.f64 -1/6 (pow.f64 x 2))>
#<alt (*.f64 3/40 (pow.f64 x 4))>
#<alt (.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 3/40 (pow.f64 x 4))>
#<alt (.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))>
#<alt (*.f64 3/40 (pow.f64 x 5))>
#<alt (.f64 (pow.f64 x 5) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 5) (-.f64 (+.f64 3/40 (/.f64 1 (pow.f64 x 4))) (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 5) (-.f64 (+.f64 3/40 (/.f64 1 (pow.f64 x 4))) (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 3/40 (pow.f64 x 5))>
#<alt (.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40)))>
#<alt (.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (+.f64 3/40 (/.f64 1 (pow.f64 x 4))))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (+.f64 3/40 (/.f64 1 (pow.f64 x 4))))))>
#<alt -1/6>
#<alt (*.f64 3/40 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 3/40 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (*.f64 -1/6 (pow.f64 x 3))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (log.f64 x)))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (log.f64 x)))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (log.f64 x)))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (log.f64 x)))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (log.f64 1/2) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (-.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (-.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (-.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (-.f64 (log.f64 1/2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	x	@	0	(- (log 1/2) (log (neg x)))
10.0ms	x	@	-inf	(- (log 1/2) (log (neg x)))
9.0ms	x	@	inf	(- (log 1/2) (log (neg x)))
1.0ms	x	@	0	(* (pow x 3) -1/6)
1.0ms	x	@	inf	(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))

rewrite182.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`fma-define`
881×	`log1p-expm1-u`
881×	`expm1-log1p-u`
538×	`fma-neg`
250×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	149
1	326	139
2	4271	135

Stop Event

1×	node limit

Counts

6 → 244

Calls

Call 1

Inputs
(*.f64 3/40 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (pow.f64 x 2)) 1/6))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))
(-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)
(*.f64 (pow.f64 x 3) -1/6)
(-.f64 (log.f64 1/2) (log.f64 (neg.f64 x)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 2)))) 1)
(pow.f64 (*.f64 3/40 (pow.f64 x 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/40 (pow.f64 x 2))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 27/64000) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 3/40)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 9/1600))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) 3/40))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/40 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 27/64000))
(expm1.f64 (log1p.f64 (*.f64 3/40 (pow.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 3/40 (pow.f64 x 2))))
(exp.f64 (log.f64 (*.f64 3/40 (pow.f64 x 2))))
(exp.f64 (.f64 (log.f64 (.f64 3/40 (pow.f64 x 2))) 1))
(+.f64 (.f64 (pow.f64 x 2) (.f64 3/40 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) -1/6))
(+.f64 (.f64 (.f64 3/40 (pow.f64 x 2)) (pow.f64 x 2)) (*.f64 -1/6 (pow.f64 x 2)))
(-.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1) 1)
(/.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 6) 27/64000 -1/216)) (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36)))
(/.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 4) 9/1600 -1/36)) (fma.f64 3/40 (pow.f64 x 2) 1/6))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216) (pow.f64 x 2)) (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (pow.f64 x 2)) (fma.f64 3/40 (pow.f64 x 2) 1/6))
(pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) 1))
(fma.f64 (pow.f64 x 2) (.f64 3/40 (pow.f64 x 2)) (.f64 (pow.f64 x 2) -1/6))
(fma.f64 (.f64 3/40 (pow.f64 x 2)) (pow.f64 x 2) (.f64 -1/6 (pow.f64 x 2)))
(fma.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1) -1)
(fma.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)) (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))) (hypot.f64 1 (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 3) 1) (/.f64 1 (fma.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) -1) 1)) -1)
(fma.f64 (-.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 2))) (/.f64 1 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)) -1)
(+.f64 x (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(+.f64 x (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(+.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x))) 1)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 3)) (fma.f64 x x (-.f64 (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3))) (.f64 x (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 x 2) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))) (-.f64 x (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3))))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 3) 1)) (fma.f64 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) -1) 1))
(/.f64 (.f64 x (-.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 2)))) (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1))
(/.f64 (.f64 (fma.f64 (pow.f64 x 6) (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 3) 1) x) (fma.f64 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) -1) 1))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 2))) x) (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1))
(pow.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x) 1)
(pow.f64 (cbrt.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6) 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)))
(log1p.f64 (expm1.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)) 1))
(fma.f64 x (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) x)
(fma.f64 x 1 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 x 1 (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 x -1 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 x -1 (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (pow.f64 x 2) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) x) x)
(fma.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3) x)
(fma.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) x x)
(fma.f64 1 x (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 1 x (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 1 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) x)
(fma.f64 (pow.f64 x 3) (fma.f64 3/40 (pow.f64 x 2) -1/6) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1) (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1) (.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) 2) (.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) x) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))) (.f64 (*.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))) x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1) (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1) (.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) x)
(fma.f64 -1 x (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 -1 x (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3))) (cbrt.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))) (cbrt.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3))) x)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3))) (sqrt.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3))) x)
(fma.f64 (.f64 (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))) (sqrt.f64 x)) (.f64 (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))) (sqrt.f64 x)) x)
(fma.f64 (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))) (.f64 (sqrt.f64 x) (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)))
(fma.f64 (.f64 -1 (sqrt.f64 x)) (sqrt.f64 x) (.f64 (*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) (pow.f64 x 3)) 1))
(fma.f64 (.f64 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x)
(fma.f64 (.f64 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6)) (sqrt.f64 x)) (sqrt.f64 x) x)
(fma.f64 (*.f64 x (fma.f64 3/40 (pow.f64 x 2) -1/6)) (pow.f64 x 2) x)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) 2)) (cbrt.f64 (*.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))) x)
(fma.f64 (.f64 x (.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))) (*.f64 x (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))) x)
(+.f64 (*.f64 3/40 (pow.f64 x 2)) -1/6)
(+.f64 -1/6 (*.f64 3/40 (pow.f64 x 2)))
(*.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)
(*.f64 1 (fma.f64 3/40 (pow.f64 x 2) -1/6))
(*.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 2) (cbrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(*.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(*.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216) (/.f64 1 (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36))))
(*.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (/.f64 1 (fma.f64 3/40 (pow.f64 x 2) 1/6)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36)) (fma.f64 (pow.f64 x 6) 27/64000 -1/216)))
(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 2) 1/6) (fma.f64 (pow.f64 x 4) 9/1600 -1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216) (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216) (fma.f64 (pow.f64 x 4) 9/1600 (-.f64 1/36 (.f64 (.f64 3/40 (pow.f64 x 2)) -1/6))))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 3/40 (pow.f64 x 2) 1/6))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216)) (neg.f64 (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36)) (neg.f64 (fma.f64 3/40 (pow.f64 x 2) 1/6)))
(pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 1))
(fma.f64 3/40 (pow.f64 x 2) -1/6)
(fma.f64 x (*.f64 x 3/40) -1/6)
(fma.f64 (pow.f64 x 2) 3/40 -1/6)
(fma.f64 (*.f64 3/40 (pow.f64 x 2)) 1 -1/6)
(fma.f64 1 (*.f64 3/40 (pow.f64 x 2)) -1/6)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 3/40) -1/6)
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 9/1600)) -1/6)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 2))) -1/6)
(fma.f64 (.f64 x (sqrt.f64 3/40)) (.f64 x (sqrt.f64 3/40)) -1/6)
(fma.f64 (*.f64 3/40 x) x -1/6)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) -1/6)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) -1/6)) 1))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(*.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))))
(.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))))
(.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (.f64 1/2 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2)) (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 1/2 x)) (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(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))
(log.f64 (+.f64 1 (-.f64 (/.f64 1/2 x) 1)))
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 1/2 x))) 1))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 1 (log.f64 1/2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 1 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 1/2))
(fma.f64 (log.f64 1/2) 1 (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 1/2) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (log.f64 (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (log.f64 (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 1/2)) (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 1/2)) (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 -1 (log.f64 x) (log.f64 1/2))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 1/2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 1/2))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 1/2))

simplify190.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1336×	`distribute-lft-in`
1328×	`distribute-rgt-in`
540×	`cancel-sign-sub-inv`
458×	`distribute-rgt-neg-in`
446×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	510	10613
1	1100	10152
2	2889	9841

Stop Event

1×	node limit

Counts

296 → 335

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 3/40 (pow.f64 x 4))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 3/40 (pow.f64 x 4))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
x
(.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))
(*.f64 3/40 (pow.f64 x 5))
(.f64 (pow.f64 x 5) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 5) (-.f64 (+.f64 3/40 (/.f64 1 (pow.f64 x 4))) (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 5) (-.f64 (+.f64 3/40 (/.f64 1 (pow.f64 x 4))) (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 3/40 (pow.f64 x 5))
(.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40)))
(.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (+.f64 3/40 (/.f64 1 (pow.f64 x 4))))))
(.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (+.f64 3/40 (/.f64 1 (pow.f64 x 4))))))
-1/6
(*.f64 3/40 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 3/40 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
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(/.f64 1 (/.f64 (fma.f64 3/40 (pow.f64 x 2) 1/6) (fma.f64 (pow.f64 x 4) 9/1600 -1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216) (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36)))
(/.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216) (fma.f64 (pow.f64 x 4) 9/1600 (-.f64 1/36 (.f64 (.f64 3/40 (pow.f64 x 2)) -1/6))))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 3/40 (pow.f64 x 2) 1/6))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 6) 27/64000 -1/216)) (neg.f64 (fma.f64 (pow.f64 x 4) 9/1600 (fma.f64 (pow.f64 x 2) 1/80 1/36))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36)) (neg.f64 (fma.f64 3/40 (pow.f64 x 2) 1/6)))
(pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 1)
(pow.f64 (cbrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 3)
(pow.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 2)
(sqrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 2))
(log.f64 (exp.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6))))
(cbrt.f64 (pow.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(log1p.f64 (expm1.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(exp.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)))
(exp.f64 (*.f64 (log.f64 (fma.f64 3/40 (pow.f64 x 2) -1/6)) 1))
(fma.f64 3/40 (pow.f64 x 2) -1/6)
(fma.f64 x (*.f64 x 3/40) -1/6)
(fma.f64 (pow.f64 x 2) 3/40 -1/6)
(fma.f64 (*.f64 3/40 (pow.f64 x 2)) 1 -1/6)
(fma.f64 1 (*.f64 3/40 (pow.f64 x 2)) -1/6)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) 3/40) -1/6)
(fma.f64 (cbrt.f64 (.f64 3/40 (pow.f64 x 2))) (cbrt.f64 (.f64 (pow.f64 x 4) 9/1600)) -1/6)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9/1600)) (cbrt.f64 (.f64 3/40 (pow.f64 x 2))) -1/6)
(fma.f64 (.f64 x (sqrt.f64 3/40)) (.f64 x (sqrt.f64 3/40)) -1/6)
(fma.f64 (*.f64 3/40 x) x -1/6)
(fma.f64 (*.f64 3/40 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) -1/6)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6))) 1)
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) -1/6)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) -1/6)) 1))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 1/2) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 1/2))
(*.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))))
(.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))))
(.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (.f64 1/2 x))))
(*.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2)) (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 1/2 x)) (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log.f64 1/2) 2) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log.f64 1/2) (neg.f64 (log.f64 x))))
(pow.f64 (log.f64 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1/2 x)) 3) 1/3)
(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))
(log.f64 (+.f64 1 (-.f64 (/.f64 1/2 x) 1)))
(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))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 1/2 x))) 1))
(fma.f64 1 (log.f64 1/2) (neg.f64 (log.f64 x)))
(fma.f64 1 (log.f64 1/2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 1 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 1 (log.f64 (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 1 (neg.f64 (log.f64 x)) (log.f64 1/2))
(fma.f64 (log.f64 1/2) 1 (neg.f64 (log.f64 x)))
(fma.f64 (log.f64 1/2) 1 (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (log.f64 (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (log.f64 (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (log.f64 (/.f64 1/2 x)) 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 1/2)) (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (neg.f64 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 1/2)) (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 1/2)) 2) (cbrt.f64 (log.f64 1/2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (neg.f64 (cbrt.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/2 x))) 2) (cbrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 1/2)) (*.f64 (neg.f64 (log.f64 x)) 1))
(fma.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 1/2 x))) (sqrt.f64 (log.f64 (/.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (*.f64 1/2 x)) (pow.f64 (log.f64 1/2) 2))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 -1 (log.f64 x) (log.f64 1/2))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 1/2 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 1/2 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (-.f64 (pow.f64 (log.f64 1/2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (*.f64 1/2 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 1/2))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (log.f64 x))) (cbrt.f64 (neg.f64 (log.f64 x)))) (cbrt.f64 (neg.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 x))) (sqrt.f64 (neg.f64 (log.f64 x))) (log.f64 1/2))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 1/2))

Outputs
(*.f64 -1/6 (pow.f64 x 2))
(*.f64 3/40 (pow.f64 x 4))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 4) (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 4) (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 4) (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))))
(*.f64 3/40 (pow.f64 x 4))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 4) (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 4) (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 4) (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 (pow.f64 x 4) (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))))
x
(.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 2)) 1))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 3/40 (pow.f64 x 5))
(.f64 (pow.f64 x 5) (-.f64 3/40 (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))) (pow.f64 x 5))
(*.f64 (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))) (pow.f64 x 5))
(.f64 (pow.f64 x 5) (-.f64 (+.f64 3/40 (/.f64 1 (pow.f64 x 4))) (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (+.f64 3/40 (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1/6 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (+.f64 3/40 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1/6 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (+.f64 (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4))))
(.f64 (pow.f64 x 5) (-.f64 (+.f64 3/40 (/.f64 1 (pow.f64 x 4))) (.f64 1/6 (/.f64 1 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (+.f64 3/40 (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1/6 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (+.f64 3/40 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1/6 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (+.f64 (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 4))))
(*.f64 3/40 (pow.f64 x 5))
(.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40)))
(*.f64 (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2))) (pow.f64 x 5))
(*.f64 (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2))) (pow.f64 x 5))
(.f64 -1 (.f64 (pow.f64 x 5) (-.f64 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))) (+.f64 3/40 (/.f64 1 (pow.f64 x 4))))))
(neg.f64 (*.f64 (pow.f64 x 5) (-.f64 (/.f64 1/6 (pow.f64 x 2)) (+.f64 3/40 (/.f64 1 (pow.f64 x 4))))))
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(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 1/2))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (*.f64 0 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 1/2))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) 0)
(fma.f64 (+.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 1/2))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (+.f64 (neg.f64 (log.f64 x)) (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 1/2))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) (*.f64 0 (log.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 1/2))) (-.f64 (sqrt.f64 (log.f64 1/2)) (sqrt.f64 (log.f64 x))) 0)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (log.f64 1/2))
(-.f64 (log.f64 1/2) (log.f64 x))

eval157.0ms (2.1%)

Compiler: Compiled 6528 to 4708 computations (27.9% saved)

prune57.0ms (0.8%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	331	4	335
Fresh	0	0	0
Picked	1	2	3
Done	2	5	7
Total	334	11	345

Accuracy

100.0%

Counts

345 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	24.8%	(copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x)
✓	54.5%	(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
	54.4%	(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 (*.f64 3/40 x) x -1/6)))) x)
✓	9.0%	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
	3.7%	(copysign.f64 (log1p.f64 (-.f64 (/.f64 1/2 x) 1)) x)
✓	67.0%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	59.5%	(copysign.f64 (log1p.f64 x) x)
	24.7%	(copysign.f64 (log.f64 (/.f64 1/2 x)) x)
✓	25.8%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
✓	28.9%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	55.0%	(copysign.f64 x x)

Compiler

Compiled 303 to 200 computations (34% saved)

regimes42.0ms (0.6%)

Counts

21 → 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 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (log1p.f64 (-.f64 (/.f64 1/2 x) 1)) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
(copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) 1)) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x)
(copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x)
(copysign.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)) x)
(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 (*.f64 3/40 x) x -1/6)))) x)
(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (*.f64 3 (log.f64 (cbrt.f64 (+.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 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
(copysign.f64 (fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2)))) (/.f64 1/2 (+.f64 1 x))) (log1p.f64 x)) x)

Outputs

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

(copysign.f64 (*.f64 x (+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 (*.f64 3/40 x) x -1/6)))) x)

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

Calls

2 calls:

29.0ms	x
11.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Accuracy	Segments	Branch
99.9%	3	`x`
99.9%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts

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

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.3%)

Counts

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

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

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

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

Outputs
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
83.3%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes156.0ms (2.1%)

Counts

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

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

Calls

1 calls:

155.0ms

Results

Accuracy	Segments	Branch
83.0%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
83.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes15.0ms (0.2%)

Counts

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
83.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
77.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

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:

6.0ms

Results

Accuracy	Segments	Branch
61.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
55.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1892518884864034e-9	3.1417934759037998
0.0ms	-30.259349501781895	-0.00034051981045186714

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.1892519286291154e-9	11.551067513032072
28.0ms	-6925298842496.46	-0.0003405198170327211

Results

37.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 437 to 322 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

Operation ival-log, time spent: 5.0ms, 26.0% of total-time

Operation ival-copysign, time spent: 3.0ms, 16.0% of total-time

Operation ival-add, time spent: 3.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 16.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 11.0% of total-time

Operation ival-mult, time spent: 2.0ms, 11.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch107.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.1892519286291154e-9	11.551067513032072
77.0ms	-6925298842496.46	-0.0003405198170327211

Results

35.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 437 to 312 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

Operation ival-log, time spent: 5.0ms, 26.0% of total-time

Operation ival-copysign, time spent: 3.0ms, 16.0% of total-time

Operation ival-add, time spent: 3.0ms, 16.0% of total-time

Operation ival-mult, time spent: 3.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 16.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch26.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.1892519286291154e-9	11.551067513032072

Results

19.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 187 to 132 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-log, time spent: 4.0ms, 38.0% of total-time

Operation ival-add, time spent: 2.0ms, 19.0% of total-time

Operation ival-copysign, time spent: 1.0ms, 9.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 9.0% of total-time

Operation ival-mult, time spent: 1.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 9.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch30.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.1892519286291154e-9	11.551067513032072

Results

21.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 167 to 122 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-add, time spent: 5.0ms, 40.0% of total-time

Operation ival-log, time spent: 3.0ms, 24.0% of total-time

Operation ival-copysign, time spent: 1.0ms, 8.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 8.0% of total-time

Operation ival-mult, time spent: 1.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch56.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.1892519286291154e-9	11.551067513032072
29.0ms	-6925298842496.46	-0.0003405198170327211

Results

38.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 407 to 302 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-log, time spent: 8.0ms, 37.0% of total-time

Operation ival-copysign, time spent: 3.0ms, 14.0% of total-time

Operation ival-add, time spent: 3.0ms, 14.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 14.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 9.0% of total-time

Operation ival-mult, time spent: 2.0ms, 9.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.1892519286291154e-9	11.551067513032072
27.0ms	-6925298842496.46	-0.0003405198170327211

Results

38.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 287 to 202 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

Operation ival-log, time spent: 5.0ms, 27.0% of total-time

Operation ival-copysign, time spent: 3.0ms, 16.0% of total-time

Operation ival-add, time spent: 3.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 16.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 11.0% of total-time

Operation ival-mult, time spent: 2.0ms, 11.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch29.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.1892519286291154e-9	11.551067513032072

Results

21.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 147 to 102 computations (30.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

Operation ival-mult, time spent: 4.0ms, 30.0% of total-time

Operation ival-log, time spent: 3.0ms, 23.0% of total-time

Operation ival-copysign, time spent: 2.0ms, 15.0% of total-time

Operation ival-add, time spent: 2.0ms, 15.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch28.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	2.1892519286291154e-9	11.551067513032072

Results

20.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-log, time spent: 3.0ms, 33.0% of total-time

Operation ival-add, time spent: 2.0ms, 22.0% of total-time

Operation ival-copysign, time spent: 1.0ms, 11.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 11.0% of total-time

Operation ival-mult, time spent: 1.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 11.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify19.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
14×	`*-commutative`
8×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	897
1	114	897
2	121	897
3	125	897
4	126	897

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 4835703278458517/1208925819614629174706176) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 (*.f64 3/40 x) x -1/6)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x 4110347786689739/302231454903657293676544) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))
(if (<=.f64 x 1) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -8782019273372467/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (/.f64 1/2 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 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 4835703278458517/1208925819614629174706176) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 (*.f64 3/40 x) x -1/6)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -20) (copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 4835703278458517/1208925819614629174706176) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 (*.f64 x 3/40) x -1/6)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (-.f64 (log.f64 1/2) (log.f64 (neg.f64 x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (neg.f64 x))) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x 1152921504606847/1152921504606846976) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x 4110347786689739/302231454903657293676544) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x))
(if (<=.f64 x 1) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x -8782019273372467/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -8782019273372467/4503599627370496) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5764607523034235/4503599627370496) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x)))
(if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (/.f64 1/2 x)) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 250 to 169 computations (32.4% saved)

soundness1.1s (15.3%)

Rules

1532×	`distribute-lft-in`
1524×	`fma-define`
1336×	`distribute-lft-in`
1328×	`distribute-rgt-in`
1214×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	10613
1	1100	10152
2	2889	9841
0	25	149
1	326	139
2	4271	135
0	354	5015
1	750	4895
2	2164	4446
3	6293	4406
0	627	17192
1	1325	16768
2	3994	15448
0	16	110
1	245	94
2	2357	94

Stop Event

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

Compiler

Compiled 618 to 407 computations (34.1% saved)

end0.0ms (0%)

preprocess356.0ms (4.8%)

Compiler: Compiled 550 to 344 computations (37.5% saved)

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

analyze0.0ms (0%)

sample1.1s (14.9%)

preprocess394.0ms (5.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize327.0ms (4.4%)

series14.0ms (0.2%)

rewrite246.0ms (3.3%)

simplify204.0ms (2.7%)

eval163.0ms (2.2%)

prune64.0ms (0.9%)

localize378.0ms (5%)

eval0.0ms (0%)

prune24.0ms (0.3%)

localize622.0ms (8.3%)

series351.0ms (4.7%)

rewrite131.0ms (1.7%)

simplify162.0ms (2.2%)

eval87.0ms (1.2%)

prune40.0ms (0.5%)

localize322.0ms (4.3%)

series52.0ms (0.7%)

rewrite182.0ms (2.4%)

simplify190.0ms (2.5%)

eval157.0ms (2.1%)

prune57.0ms (0.8%)

regimes42.0ms (0.6%)

regimes26.0ms (0.3%)

regimes23.0ms (0.3%)

regimes14.0ms (0.2%)

regimes156.0ms (2.1%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch53.0ms (0.7%)

bsearch107.0ms (1.4%)

bsearch26.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch56.0ms (0.8%)

bsearch53.0ms (0.7%)

bsearch29.0ms (0.4%)

bsearch28.0ms (0.4%)

simplify19.0ms (0.3%)

soundness1.1s (15.3%)

end0.0ms (0%)

preprocess356.0ms (4.8%)

Profiling

Iter	Nodes	Cost
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72