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

sample831.0ms (11.1%)

Results

806.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

Operation ival-asinh, time spent: 135.0ms, 93.0% of total-time

Operation const, time spent: 9.0ms, 6.0% of total-time

Bogosity

preprocess399.0ms (5.3%)

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
116	-	-	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
67	-	-	`(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)))

Compiler

Compiled 115 to 59 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

Operation ival-log, time spent: 104.0ms, 47.0% of total-time

Operation ival-sqrt, time spent: 47.0ms, 21.0% of total-time

Operation ival-add, time spent: 47.0ms, 21.0% of total-time

Operation ival-mult, time spent: 8.0ms, 4.0% of total-time

Operation ival-fabs, time spent: 5.0ms, 2.0% of total-time

Operation ival-copysign, time spent: 5.0ms, 2.0% 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
▶	57.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize203.0ms (2.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	57.7%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

Operation composed, time spent: 65.0ms, 33.0% of total-time

Operation ival-log, time spent: 58.0ms, 29.0% of total-time

Operation ival-mult, time spent: 24.0ms, 12.0% of total-time

Operation ival-add, time spent: 24.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 23.0ms, 12.0% of total-time

Operation ival-copysign, time spent: 3.0ms, 2.0% of total-time

Operation const, time spent: 2.0ms, 1.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 1.0% of total-time

series6.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<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 (+.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

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	inf	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	-inf	(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))
0.0ms	x	@	inf	(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))
0.0ms	x	@	0	(+ (fabs x) (sqrt (+ (* 1 1) (* x x))))

rewrite297.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`prod-diff`
754×	`unpow-prod-down`
480×	`log1p-expm1-u`
480×	`expm1-log1p-u`
438×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	120	42
2	1555	42

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

Inputs
(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 (+.f64 1 (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 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.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)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.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 (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))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (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))) 2) 1/2)
(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)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (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)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(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 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(-.f64 (+.f64 1 (+.f64 x (hypot.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (+.f64 x (hypot.f64 1 x)) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (E.f64) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))) (pow.f64 (E.f64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 3) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 x (hypot.f64 1 x)) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.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 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.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 (+.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 (-.f64 (pow.f64 x 2) (fma.f64 x x 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 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(/.f64 (pow.f64 (E.f64) (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 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 (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 (exp.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))) (E.f64))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(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))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(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)
(pow.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) -1)
(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)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(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))))) (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))))
(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 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(exp.f64 (*.f64 (log.f64 (E.f64)) (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 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 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 (fabs.f64 (pow.f64 (cbrt.f64 x) 2)) (fabs.f64 (cbrt.f64 x)) (hypot.f64 1 x))

simplify191.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1310×	`fma-neg`
974×	`distribute-lft-in`
940×	`distribute-rgt-in`
714×	`*-commutative`
538×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	7112
1	908	6644
2	2625	5772
3	7644	5772

Stop Event

1×	node limit

Counts

144 → 234

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

eval309.0ms (4.1%)

Compiler: Compiled 4514 to 3174 computations (29.7% saved)

prune48.0ms (0.6%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	218	16	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	16	235

Accuracy

100.0%

Counts

235 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.6%	(copysign.f64 (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))) x)
	46.4%	(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)
	46.6%	(copysign.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 x)) (log1p.f64 x)) x)
▶	26.6%	(copysign.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) x)
	9.0%	(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
	28.6%	(copysign.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
▶	35.6%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶	62.1%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	52.5%	(copysign.f64 (log1p.f64 x) x)
	28.6%	(copysign.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)
	2.9%	(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (/.f64 -1/2 x)) x) x) x)) x)
	28.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	20.0%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
	10.4%	(copysign.f64 (log.f64 (+.f64 1 x)) x)
▶	24.4%	(copysign.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 x x)))) x)
	10.7%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 408 to 288 computations (29.4% saved)

localize936.0ms (12.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
✓	99.6%	(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
✓	78.9%	(log.f64 (+.f64 x (hypot.f64 1 x)))
✓	78.9%	(log.f64 (-.f64 (hypot.f64 1 x) x))
✓	78.4%	(-.f64 (hypot.f64 1 x) x)

Compiler

Compiled 131 to 75 computations (42.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation composed, time spent: 361.0ms, 34.0% of total-time

Operation ival-log, time spent: 226.0ms, 21.0% of total-time

Operation ival-add, time spent: 156.0ms, 15.0% of total-time

Operation ival-sqrt, time spent: 118.0ms, 11.0% of total-time

Operation ival-mult, time spent: 94.0ms, 9.0% of total-time

Operation ival-copysign, time spent: 58.0ms, 6.0% of total-time

Operation ival-sub, time spent: 15.0ms, 1.0% of total-time

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

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

Operation ival-neg, time spent: 5.0ms, 0.0% of total-time

Operation ival-div, time spent: 4.0ms, 0.0% of total-time

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

series17.0ms (0.2%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 x))>
#<alt (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1)))>
#<alt (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 1)))>
#<alt (/.f64 1/2 x)>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x)>
#<alt (*.f64 -2 x)>
#<alt (.f64 -1 (.f64 x (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4)))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 2 (+.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 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 (pow.f64 x 2) (-.f64 (.f64 5/112 (pow.f64 x 2)) 3/40)))) 1))>
#<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 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 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 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 (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 -1/12 (sqrt.f64 (pow.f64 x 5))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/12 (sqrt.f64 (/.f64 1 x))) (*.f64 3/80 (sqrt.f64 (pow.f64 x 3))))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x 3) (+.f64 (.f64 -1/12 (sqrt.f64 (/.f64 1 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/288 (sqrt.f64 (/.f64 1 x))) (*.f64 3/80 (sqrt.f64 (/.f64 1 x))))))))>
#<alt (sqrt.f64 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x)))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 1/8 (.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 3/32 (.f64 1/64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 1/8 (.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 3/32 (.f64 1/64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (+.f64 (.f64 1/8 (.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))) (.f64 1/2 (.f64 (/.f64 (-.f64 5/96 (.f64 -1/8 (/.f64 (+.f64 3/32 (.f64 1/64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x))))))) (pow.f64 x 6)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))))))))))>
#<alt (sqrt.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))) (.f64 1/2 (.f64 (/.f64 (-.f64 3/32 (*.f64 1/64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 5/96 (.f64 -1/8 (/.f64 (-.f64 3/32 (.f64 1/64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))) (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 6)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 -1/8 (.f64 (/.f64 1 (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))) (.f64 1/2 (.f64 (/.f64 (-.f64 3/32 (*.f64 1/64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))))))))))>

Calls

15 calls:

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

rewrite121.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`prod-diff`
782×	`log1p-expm1-u`
782×	`expm1-log1p-u`
718×	`log-prod`
640×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	115
1	188	115
2	2209	115

Stop Event

1×	node limit

Counts

5 → 215

Calls

Call 1

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

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

simplify424.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`distribute-lft-in`
904×	`times-frac`
566×	`distribute-lft-neg-out`
558×	`fma-neg`
502×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	565	12137
1	1251	11457
2	3837	10677

Stop Event

1×	node limit

Counts

275 → 359

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(+.f64 1 (*.f64 x (fma.f64 1/2 x -1)))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 1)))
(+.f64 1 (.f64 x (fma.f64 x (+.f64 1/2 (.f64 -1/8 (pow.f64 x 2))) -1)))
(fma.f64 x (fma.f64 x (fma.f64 -1/8 (pow.f64 x 2) 1/2) -1) 1)
(/.f64 1/2 x)
(/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (-.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x)
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3)))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (+.f64 1/2 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (/.f64 1/8 (pow.f64 x 2)))) x)
(-.f64 (/.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) x) (/.f64 -1/8 (pow.f64 x 3)))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x)
(/.f64 (+.f64 1/2 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 5/128 (pow.f64 x 6))))) x)
(-.f64 (/.f64 (+.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (/.f64 -5/128 (pow.f64 x 6))) x) (/.f64 1/8 (pow.f64 x 3)))
(*.f64 -2 x)
(*.f64 x -2)
(.f64 -1 (.f64 x (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (+.f64 2 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (neg.f64 (+.f64 2 (/.f64 1/2 (pow.f64 x 2)))))
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(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
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eval277.0ms (3.7%)

Compiler: Compiled 7641 to 5730 computations (25% saved)

prune59.0ms (0.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	354	5	359
Fresh	9	2	11
Picked	2	3	5
Done	0	0	0
Total	365	10	375

Accuracy

100.0%

Counts

375 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.6%	(copysign.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) x)
	47.4%	(copysign.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))) x)
▶	47.6%	(copysign.f64 (neg.f64 (.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))) x)
▶	48.2%	(copysign.f64 (neg.f64 (neg.f64 x)) x)
▶	24.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
✓	35.6%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶	31.5%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
✓	52.5%	(copysign.f64 (log1p.f64 x) x)
	28.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	10.7%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 165 to 121 computations (26.7% saved)

localize191.0ms (2.6%)

Compiler: Compiled 116 to 76 computations (34.5% saved)
Precisions: Click to see histograms. Total time spent on operations: 113.0ms
Operation ival-log, time spent: 37.0ms, 33.0% of total-time
Operation ival-mult, time spent: 27.0ms, 24.0% of total-time
Operation ival-pow, time spent: 15.0ms, 13.0% of total-time
Operation ival-neg, time spent: 9.0ms, 8.0% of total-time
Operation ival-div, time spent: 8.0ms, 7.0% of total-time
Operation ival-copysign, time spent: 7.0ms, 6.0% of total-time
Operation ival-sub, time spent: 6.0ms, 5.0% of total-time
Operation const, time spent: 4.0ms, 4.0% of total-time

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	3	3
Total	10	10

Accuracy

100.0%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.6%	(copysign.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) x)
▶	47.4%	(copysign.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))) x)
✓	47.6%	(copysign.f64 (neg.f64 (.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))) x)
✓	48.2%	(copysign.f64 (neg.f64 (neg.f64 x)) x)
✓	24.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
✓	35.6%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	31.5%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
✓	52.5%	(copysign.f64 (log1p.f64 x) x)
▶	28.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	10.7%	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 96 to 70 computations (27.1% saved)

localize1.1s (14.2%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))
✓	100.0%	(.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))
✓	99.8%	(.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 -3/40 (pow.f64 x 2))))
✓	99.4%	(*.f64 -3/40 (pow.f64 x 2))
✓	71.4%	(+.f64 x (hypot.f64 1 x))
	57.7%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 119 to 92 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 836.0ms

Operation ival-sub, time spent: 233.0ms, 28.0% of total-time

Operation ival-pow, time spent: 126.0ms, 15.0% of total-time

Operation ival-copysign, time spent: 111.0ms, 13.0% of total-time

Operation ival-mult, time spent: 102.0ms, 12.0% of total-time

Operation composed, time spent: 95.0ms, 11.0% of total-time

Operation ival-log, time spent: 71.0ms, 8.0% of total-time

Operation ival-add, time spent: 44.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 33.0ms, 4.0% of total-time

Operation const, time spent: 17.0ms, 2.0% of total-time

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

series7.0ms (0.1%)

Counts

5 → 40

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+.f64 1 x)>
#<alt (+.f64 1 (.f64 x (+.f64 1 (.f64 1/2 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))>
#<alt (.f64 x (-.f64 (+.f64 2 (+.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 -1/2 x)>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x))>
#<alt (*.f64 1/6 (pow.f64 x 2))>
#<alt (*.f64 -3/40 (pow.f64 x 4))>
#<alt (.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (*.f64 -3/40 (pow.f64 x 4))>
#<alt (.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (*.f64 -1 x)>
#<alt (.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))>
#<alt (*.f64 -3/40 (pow.f64 x 5))>
#<alt (.f64 (pow.f64 x 5) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.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 (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 -3/40 (pow.f64 x 5))>
#<alt (.f64 -1 (.f64 (pow.f64 x 5) (-.f64 3/40 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.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 -1 (.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 1/6>
#<alt (*.f64 -3/40 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (*.f64 -3/40 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
1.0ms	x	@	inf	(* (pow x 2) (+ 1/6 (* -3/40 (pow x 2))))
0.0ms	x	@	0	(* -3/40 (pow x 2))
0.0ms	x	@	inf	(* -3/40 (pow x 2))
0.0ms	x	@	-inf	(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))

rewrite134.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1132×	`log-prod`
986×	`fma-define`
728×	`log1p-expm1-u`
728×	`expm1-log1p-u`
626×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	142
1	242	130
2	3365	130

Stop Event

1×	node limit

Counts

5 → 185

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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 1 (-.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 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.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 (+.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 (-.f64 (pow.f64 x 2) (fma.f64 x x 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 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(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 (+.f64 x (hypot.f64 1 x))) 1))
(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 (pow.f64 (cbrt.f64 x) 2) (cbrt.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 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (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 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (hypot.f64 1 x))
(+.f64 0 (*.f64 -3/40 (pow.f64 x 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/40) (pow.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 -3/40) (pow.f64 x 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3/40) (pow.f64 x 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/40) (pow.f64 x 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3/40) (pow.f64 x 2)))))
(-.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 (pow.f64 x 2) 3) -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 -3/40) (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -3/40 (pow.f64 x 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) -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 (fma.f64 2 (log.f64 x) (log.f64 -3/40)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 x) (log.f64 -3/40)) 1))
(+.f64 0 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4))))
(+.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 -3/40 (pow.f64 x 4)))
(+.f64 (.f64 -3/40 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 1/6))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) 1) (.f64 (.f64 -3/40 (pow.f64 x 4)) 1))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))))) (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4)))))))
(-.f64 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1)) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 2) 1/6) 3) (pow.f64 (.f64 -3/40 (pow.f64 x 4)) 3)) (fma.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6) (-.f64 (.f64 (.f64 -3/40 (pow.f64 x 4)) (.f64 -3/40 (pow.f64 x 4))) (.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 -3/40 (pow.f64 x 4))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 2) 1/6) (.f64 (pow.f64 x 2) 1/6)) (.f64 (.f64 -3/40 (pow.f64 x 4)) (.f64 -3/40 (pow.f64 x 4)))) (fma.f64 (pow.f64 x 2) 1/6 (neg.f64 (*.f64 -3/40 (pow.f64 x 4)))))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)) (fma.f64 (.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36))
(/.f64 (.f64 (pow.f64 x 2) (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600))) (+.f64 1/6 (*.f64 3/40 (pow.f64 x 2))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (pow.f64 x 2)) (fma.f64 (.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36))
(/.f64 (.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (pow.f64 x 2)) (+.f64 1/6 (*.f64 3/40 (pow.f64 x 2))))
(pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4))))))
(log.f64 (.f64 (exp.f64 (.f64 -3/40 (pow.f64 x 4))) (exp.f64 (*.f64 (pow.f64 x 2) 1/6))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4)))) 1))
(fma.f64 x (.f64 x 1/6) (.f64 -3/40 (pow.f64 x 4)))
(fma.f64 x (.f64 x (.f64 -3/40 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 1 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1)) -1)
(fma.f64 1 (.f64 (pow.f64 x 2) 1/6) (.f64 -3/40 (pow.f64 x 4)))
(fma.f64 1 (.f64 -3/40 (pow.f64 x 4)) (.f64 (pow.f64 x 2) 1/6))
(fma.f64 -3/40 (pow.f64 x 4) (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (pow.f64 x 2) (.f64 -3/40 (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/6))
(fma.f64 (pow.f64 x 2) 1/6 (*.f64 -3/40 (pow.f64 x 4)))
(fma.f64 (.f64 -3/40 (pow.f64 x 2)) (pow.f64 x 2) (.f64 (pow.f64 x 2) 1/6))
(fma.f64 1/6 (pow.f64 x 2) (*.f64 -3/40 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) 1/6) (.f64 -3/40 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 -3/40 (pow.f64 x 2))) (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 9/1600)) (.f64 (cbrt.f64 (.f64 -3/40 (pow.f64 x 2))) (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/6))
(fma.f64 (pow.f64 x 4) -3/40 (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (.f64 x (sqrt.f64 -3/40)) (.f64 (.f64 x (sqrt.f64 -3/40)) (pow.f64 x 2)) (.f64 (pow.f64 x 2) 1/6))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1)) 1 -1)
(fma.f64 (.f64 (pow.f64 x 2) 1/6) 1 (.f64 (*.f64 -3/40 (pow.f64 x 4)) 1))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1)))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1))) -1)
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/6)) (cbrt.f64 (.f64 (pow.f64 x 2) 1/6))) (cbrt.f64 (.f64 (pow.f64 x 2) 1/6)) (*.f64 -3/40 (pow.f64 x 4)))
(fma.f64 (.f64 (cbrt.f64 (.f64 -3/40 (pow.f64 x 4))) (cbrt.f64 (.f64 -3/40 (pow.f64 x 4)))) (cbrt.f64 (.f64 -3/40 (pow.f64 x 4))) (*.f64 (pow.f64 x 2) 1/6))
(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 (sqrt.f64 (.f64 (pow.f64 x 2) 1/6)) (sqrt.f64 (.f64 (pow.f64 x 2) 1/6)) (*.f64 -3/40 (pow.f64 x 4)))
(fma.f64 (sqrt.f64 (.f64 -3/40 (pow.f64 x 4))) (sqrt.f64 (.f64 -3/40 (pow.f64 x 4))) (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (.f64 (.f64 x (sqrt.f64 -3/40)) x) (.f64 (.f64 x (sqrt.f64 -3/40)) x) (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (.f64 x (.f64 x (sqrt.f64 -3/40))) (.f64 x (.f64 x (sqrt.f64 -3/40))) (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (.f64 1/6 x) x (.f64 -3/40 (pow.f64 x 4)))
(fma.f64 (.f64 1/6 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (.f64 -3/40 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 -3/40 (pow.f64 x 2)) x) x (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (.f64 (.f64 -3/40 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (pow.f64 x 2) 1/6))
(fma.f64 (.f64 (pow.f64 x 2) (cbrt.f64 (.f64 (pow.f64 x 4) 9/1600))) (cbrt.f64 (.f64 -3/40 (pow.f64 x 2))) (.f64 (pow.f64 x 2) 1/6))
(fma.f64 (.f64 (pow.f64 x 2) (.f64 x (sqrt.f64 -3/40))) (.f64 x (sqrt.f64 -3/40)) (.f64 (pow.f64 x 2) 1/6))
(+.f64 0 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))))
(+.f64 (.f64 x (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4)))) (*.f64 x -1))
(+.f64 (.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))) x) (*.f64 -1 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))))) 1)
(/.f64 (.f64 x (+.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))) 3) -1)) (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 2) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 2) -1)) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))) 3) -1) x) (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 2) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 2) -1) x) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) 1)))
(pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))) 1))
(fma.f64 x (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))) (.f64 x -1))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))) x (.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6))) 1)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 3/40 (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 x 4) 9/1600) (+.f64 1/6 (*.f64 3/40 (pow.f64 x 2)))))
(*.f64 1 (fma.f64 -3/40 (pow.f64 x 2) 1/6))
(*.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 1)
(*.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 (pow.f64 x 2) 3) -27/64000 1/216) (/.f64 1 (fma.f64 (.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36)))
(.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (/.f64 1 (+.f64 1/6 (*.f64 3/40 (pow.f64 x 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 3/40 (pow.f64 x 2))) (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (*.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (pow.f64 x 4) 9/1600 (-.f64 1/36 (*.f64 -1/80 (pow.f64 x 2)))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 3/40 (pow.f64 x 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)) (neg.f64 (fma.f64 (*.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36)))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600))) (neg.f64 (+.f64 1/6 (.f64 3/40 (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (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 x (*.f64 x -3/40) 1/6)
(fma.f64 1 (*.f64 -3/40 (pow.f64 x 2)) 1/6)
(fma.f64 -3/40 (pow.f64 x 2) 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 (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)

simplify172.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1354×	`distribute-lft-in`
1326×	`distribute-rgt-in`
424×	`times-frac`
418×	`cancel-sign-sub-inv`
352×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	8795
1	1084	8644
2	2955	8075

Stop Event

1×	node limit

Counts

225 → 295

Calls

Call 1

Inputs
1
(+.f64 1 x)
(+.f64 1 (.f64 x (+.f64 1 (.f64 1/2 x))))
(+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))
(.f64 x (-.f64 (+.f64 2 (+.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 -1/2 x)
(.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 -3/40 (pow.f64 x 4))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 -3/40 (pow.f64 x 4))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 -1 x)
(.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(*.f64 -3/40 (pow.f64 x 5))
(.f64 (pow.f64 x 5) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.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 (pow.f64 x 5) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) (+.f64 3/40 (/.f64 1 (pow.f64 x 4)))))
(*.f64 -3/40 (pow.f64 x 5))
(.f64 -1 (.f64 (pow.f64 x 5) (-.f64 3/40 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.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 -1 (.f64 (pow.f64 x 5) (-.f64 (+.f64 3/40 (/.f64 1 (pow.f64 x 4))) (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))))
1/6
(*.f64 -3/40 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 -3/40 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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 1 (-.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 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1))))
(/.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 (+.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 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (-.f64 x (hypot.f64 1 x)))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (pow.f64 x 4) 9/1600 (-.f64 1/36 (*.f64 -1/80 (pow.f64 x 2)))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 3/40 (pow.f64 x 2))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)) (neg.f64 (fma.f64 (*.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36)))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600))) (neg.f64 (+.f64 1/6 (.f64 3/40 (pow.f64 x 2)))))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (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 x (*.f64 x -3/40) 1/6)
(fma.f64 1 (*.f64 -3/40 (pow.f64 x 2)) 1/6)
(fma.f64 -3/40 (pow.f64 x 2) 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 (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)

Outputs
1
(+.f64 1 x)
(+.f64 1 (.f64 x (+.f64 1 (.f64 1/2 x))))
(+.f64 1 (.f64 x (+.f64 1 (.f64 x 1/2))))
(fma.f64 x (fma.f64 x 1/2 1) 1)
(+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 -1/8 (pow.f64 x 2) 1/2) 1) 1)
(*.f64 2 x)
(*.f64 x 2)
(.f64 x (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (+.f64 2 (/.f64 1/2 (pow.f64 x 2))))
(.f64 x (-.f64 (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 x (+.f64 2 (-.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)) (+.f64 2 (/.f64 -1/8 (pow.f64 x 4)))))
(*.f64 x (+.f64 2 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 -1/8 (pow.f64 x 4)))))
(.f64 x (-.f64 (+.f64 2 (+.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 2 (-.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 2 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (-.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 1/8 (pow.f64 x 4))))))
(*.f64 x (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 2 (+.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 -1/8 (pow.f64 x 4))))))
(/.f64 -1/2 x)
(.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x))
(neg.f64 (-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(/.f64 (+.f64 -1/2 (/.f64 1/8 (pow.f64 x 2))) x)
(.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
(neg.f64 (/.f64 (+.f64 1/2 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (/.f64 1/8 (pow.f64 x 2)))) x))
(/.f64 (+.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (/.f64 -1/8 (pow.f64 x 2))) (neg.f64 x))
(-.f64 (/.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (neg.f64 x)) (/.f64 -1/8 (pow.f64 x 3)))
(.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x))
(neg.f64 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 5/128 (pow.f64 x 6)))) x))
(/.f64 (+.f64 1/2 (-.f64 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (/.f64 -1/8 (pow.f64 x 2))) (/.f64 5/128 (pow.f64 x 6)))) (neg.f64 x))
(-.f64 (/.f64 (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (/.f64 -5/128 (pow.f64 x 6)))) (neg.f64 x)) (/.f64 -1/8 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/6)
(*.f64 -3/40 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -3/40)
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 4) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 4) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 4) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 4) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 4) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.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) -3/40)
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 4) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 4) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 4) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 4) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 4) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 4) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 4) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 -1 x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(*.f64 x (fma.f64 1/6 (pow.f64 x 2) -1))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 -1))
(*.f64 -3/40 (pow.f64 x 5))
(.f64 (pow.f64 x 5) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40) (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 1/6 (/.f64 1 (pow.f64 x 2))) (+.f64 3/40 (/.f64 1 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 5) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40) (/.f64 1 (pow.f64 x 4))))
(*.f64 (pow.f64 x 5) (+.f64 (/.f64 1/6 (pow.f64 x 2)) (-.f64 -3/40 (/.f64 1 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 5) (+.f64 -3/40 (+.f64 (/.f64 1/6 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 4)))))
(.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 (pow.f64 x 5) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40) (/.f64 1 (pow.f64 x 4))))
(*.f64 (pow.f64 x 5) (+.f64 (/.f64 1/6 (pow.f64 x 2)) (-.f64 -3/40 (/.f64 1 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 5) (+.f64 -3/40 (+.f64 (/.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 3/40 (*.f64 1/6 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (*.f64 (pow.f64 x 5) (-.f64 3/40 (/.f64 1/6 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (neg.f64 (+.f64 3/40 (/.f64 -1/6 (pow.f64 x 2)))))
(*.f64 (pow.f64 x 5) (+.f64 -3/40 (neg.f64 (/.f64 -1/6 (pow.f64 x 2)))))
(.f64 -1 (.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 (/.f64 1/6 (pow.f64 x 2)) -3/40) (/.f64 1 (pow.f64 x 4))))
(*.f64 (pow.f64 x 5) (+.f64 (/.f64 1/6 (pow.f64 x 2)) (-.f64 -3/40 (/.f64 1 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 5) (+.f64 -3/40 (+.f64 (/.f64 1/6 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 4)))))
(.f64 -1 (.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 (/.f64 1/6 (pow.f64 x 2)) -3/40) (/.f64 1 (pow.f64 x 4))))
(*.f64 (pow.f64 x 5) (+.f64 (/.f64 1/6 (pow.f64 x 2)) (-.f64 -3/40 (/.f64 1 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 5) (+.f64 -3/40 (+.f64 (/.f64 1/6 (pow.f64 x 2)) (/.f64 -1 (pow.f64 x 4)))))
1/6
(*.f64 -3/40 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -3/40)
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 2) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 2) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 2) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(*.f64 -3/40 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -3/40)
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 2) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 2) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 1/6 (/.f64 1 (pow.f64 x 2))) 3/40))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/6 (pow.f64 x 2)) -3/40))
(*.f64 (pow.f64 x 2) (+.f64 -3/40 (/.f64 1/6 (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (fma.f64 x x 1) (-.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 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)) (/.f64 1 (-.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 (hypot.f64 1 x) 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 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(/.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 (hypot.f64 1 x) 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 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(/.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 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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 1 (*.f64 x (+.f64 (-.f64 x (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 (hypot.f64 1 x) 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 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (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)) (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 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(/.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 (hypot.f64 1 x) 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 (hypot.f64 1 x) 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))
(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))))
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(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 (pow.f64 x 4) -3/40 -1)))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))) 1))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 (pow.f64 x 4) -3/40 -1)))
(fma.f64 x (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))) (.f64 x -1))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 (pow.f64 x 4) -3/40 -1)))
(fma.f64 (fma.f64 (pow.f64 x 2) 1/6 (.f64 -3/40 (pow.f64 x 4))) x (.f64 -1 x))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 -3/40 (pow.f64 x 4) -1)))
(*.f64 x (fma.f64 (pow.f64 x 2) 1/6 (fma.f64 (pow.f64 x 4) -3/40 -1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6))) 1)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(-.f64 (/.f64 1/36 (+.f64 1/6 (.f64 3/40 (pow.f64 x 2)))) (/.f64 (.f64 (pow.f64 x 4) 9/1600) (+.f64 1/6 (*.f64 3/40 (pow.f64 x 2)))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 (pow.f64 x 2) 3/40)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 4) -9/1600)) (fma.f64 (pow.f64 x 2) 3/40 1/6))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 (pow.f64 x 2) -3/40 -1/6))
(*.f64 1 (fma.f64 -3/40 (pow.f64 x 2) 1/6))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(*.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 1)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 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))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(*.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)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 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)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (/.f64 1 (fma.f64 (.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 (pow.f64 x 2) -3/40 -1/6) 1/36))
(/.f64 (fma.f64 (pow.f64 x 6) -27/64000 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 4) 9/1600 (*.f64 (pow.f64 x 2) 1/80))))
(.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (/.f64 1 (+.f64 1/6 (*.f64 3/40 (pow.f64 x 2)))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 (pow.f64 x 2) 3/40)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 4) -9/1600)) (fma.f64 (pow.f64 x 2) 3/40 1/6))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 (pow.f64 x 2) -3/40 -1/6))
(/.f64 1 (/.f64 (fma.f64 (*.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 (pow.f64 x 2) -3/40 -1/6) 1/36))
(/.f64 (fma.f64 (pow.f64 x 6) -27/64000 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 4) 9/1600 (*.f64 (pow.f64 x 2) 1/80))))
(/.f64 1 (/.f64 (+.f64 1/6 (.f64 3/40 (pow.f64 x 2))) (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 (pow.f64 x 2) 3/40)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 4) -9/1600)) (fma.f64 (pow.f64 x 2) 3/40 1/6))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 (pow.f64 x 2) -3/40 -1/6))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (*.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 (pow.f64 x 2) -3/40 -1/6) 1/36))
(/.f64 (fma.f64 (pow.f64 x 6) -27/64000 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 4) 9/1600 (*.f64 (pow.f64 x 2) 1/80))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (pow.f64 x 4) 9/1600 (-.f64 1/36 (*.f64 -1/80 (pow.f64 x 2)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 (pow.f64 x 2) -3/40 -1/6) 1/36))
(/.f64 (fma.f64 (pow.f64 x 6) -27/64000 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 4) 9/1600 (*.f64 (pow.f64 x 2) 1/80))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 3/40 (pow.f64 x 2))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 (pow.f64 x 2) 3/40)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 4) -9/1600)) (fma.f64 (pow.f64 x 2) 3/40 1/6))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 (pow.f64 x 2) -3/40 -1/6))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)) (neg.f64 (fma.f64 (*.f64 -3/40 (pow.f64 x 2)) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 -3/40 (pow.f64 x 2) -1/6) 1/36) (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 2) 3) -27/64000 1/216) (fma.f64 (*.f64 (pow.f64 x 2) -3/40) (fma.f64 (pow.f64 x 2) -3/40 -1/6) 1/36))
(/.f64 (fma.f64 (pow.f64 x 6) -27/64000 1/216) (+.f64 1/36 (fma.f64 (pow.f64 x 4) 9/1600 (*.f64 (pow.f64 x 2) 1/80))))
(/.f64 (neg.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600))) (neg.f64 (+.f64 1/6 (.f64 3/40 (pow.f64 x 2)))))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 (pow.f64 x 2) 3/40)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 4) -9/1600)) (fma.f64 (pow.f64 x 2) 3/40 1/6))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 (pow.f64 x 2) -3/40 -1/6))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 -3/40 (pow.f64 x 2) -1/6))
(/.f64 (-.f64 1/36 (.f64 (pow.f64 x 4) 9/1600)) (+.f64 1/6 (.f64 (pow.f64 x 2) 3/40)))
(/.f64 (+.f64 1/36 (*.f64 (pow.f64 x 4) -9/1600)) (fma.f64 (pow.f64 x 2) 3/40 1/6))
(/.f64 (fma.f64 (pow.f64 x 4) 9/1600 -1/36) (fma.f64 (pow.f64 x 2) -3/40 -1/6))
(pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 1)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(pow.f64 (cbrt.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6)) 3)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(pow.f64 (pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 3) 1/3)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(pow.f64 (sqrt.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6)) 2)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(sqrt.f64 (pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 2))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(log.f64 (exp.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(cbrt.f64 (pow.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6) 3))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(expm1.f64 (log1p.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(log1p.f64 (expm1.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(exp.f64 (log.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(exp.f64 (*.f64 (log.f64 (fma.f64 -3/40 (pow.f64 x 2) 1/6)) 1))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(fma.f64 x (*.f64 x -3/40) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(fma.f64 1 (*.f64 -3/40 (pow.f64 x 2)) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(fma.f64 -3/40 (pow.f64 x 2) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (*.f64 -3/40 (pow.f64 x 2)) 1 1/6)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 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 (pow.f64 x 4)) (*.f64 -3/40 (pow.f64 (cbrt.f64 x) 2)) 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 2) -3/40)) (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 (cbrt.f64 (.f64 (pow.f64 x 2) -3/40)) (cbrt.f64 (.f64 (pow.f64 x 4) 9/1600)) 1/6)
(fma.f64 (.f64 x (sqrt.f64 -3/40)) (.f64 x (sqrt.f64 -3/40)) 1/6)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(fma.f64 (*.f64 -3/40 x) x 1/6)
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x 2) -3/40 1/6)))
(fma.f64 (pow.f64 x 2) -3/40 1/6)
(fma.f64 (*.f64 -3/40 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2) 1/6)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 -3/40 (pow.f64 (cbrt.f64 x) 2)) 1/6)

eval312.0ms (4.2%)

Compiler: Compiled 7495 to 5810 computations (22.5% saved)

prune72.0ms (1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	360	6	366
Fresh	0	0	0
Picked	1	1	2
Done	4	4	8
Total	365	11	376

Accuracy

100.0%

Counts

376 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.6%	(copysign.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) x)
	24.3%	(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
	47.6%	(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
	47.4%	(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x)
✓	35.6%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	52.5%	(copysign.f64 (log1p.f64 x) x)
	31.5%	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	28.6%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	24.4%	(copysign.f64 (log.f64 (*.f64 x 2)) x)
✓	10.7%	(copysign.f64 (log.f64 (neg.f64 x)) x)
	48.2%	(copysign.f64 x x)

Compiler

Compiled 403 to 270 computations (33% saved)

regimes65.0ms (0.9%)

Counts

29 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (neg.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x 2)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)
(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 (log.f64 x) (/.f64 x x)) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (log.f64 (*.f64 x (+.f64 1 (/.f64 x x)))) x)
(copysign.f64 (neg.f64 (.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))) x)
(copysign.f64 (log.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (/.f64 -1/2 x)) x) x) x)) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 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 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (*.f64 2 (log.f64 (sqrt.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 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) x)
(copysign.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) 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)
(copysign.f64 (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))) x)

Outputs

(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 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 x (hypot.f64 1 x))) x)

Calls

2 calls:

46.0ms	x
18.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	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)

regimes30.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
100.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes33.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

1 calls:

32.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes28.0ms (0.4%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
98.9%	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 (neg.f64 (neg.f64 x)) x)
(copysign.f64 (log1p.f64 x) x)
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (log.f64 (*.f64 x 2)) x)
(copysign.f64 (log.f64 (+.f64 1 x)) x)

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 x x)
(copysign.f64 (log.f64 (*.f64 x 2)) x)

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
78.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
62.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (neg.f64 (neg.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
54.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (neg.f64 (neg.f64 x)) x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
48.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	0.44452497257127593
0.0ms	-11.865835163487777	-0.0004734048082475352

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch58.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.0468039993633444e-20	0.4593101693847171
26.0ms	-71160.13101270341	-0.0004734048259299802

Results

50.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 446 to 321 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

Operation ival-log, time spent: 9.0ms, 40.0% of total-time

Operation ival-add, time spent: 4.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 18.0% of total-time

Operation ival-mult, time spent: 3.0ms, 13.0% of total-time

Operation ival-copysign, time spent: 1.0ms, 4.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch58.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.0468039993633444e-20	0.4593101693847171
25.0ms	-71160.13101270341	-0.0004734048259299802

Results

50.0ms	319×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 419 to 303 computations (27.7% saved)

Precisions

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

Operation ival-log, time spent: 7.0ms, 34.0% of total-time

Operation ival-add, time spent: 4.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 19.0% of total-time

Operation ival-mult, time spent: 3.0ms, 15.0% of total-time

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

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

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

bsearch50.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	0.4593101693847171	9.033760135794529
28.0ms	-71160.13101270341	-0.0004734048259299802

Results

43.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 321 to 236 computations (26.5% saved)

Precisions

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

Operation ival-log, time spent: 6.0ms, 29.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 29.0% of total-time

Operation ival-add, time spent: 4.0ms, 19.0% of total-time

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

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

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

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

bsearch44.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.4593101693847171	9.033760135794529
25.0ms	-71160.13101270341	-0.0004734048259299802

Results

38.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 225 to 156 computations (30.7% saved)

Precisions

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

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

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

Operation ival-sqrt, time spent: 4.0ms, 21.0% of total-time

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

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

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

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

bsearch43.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.4593101693847171	9.033760135794529
25.0ms	-71160.13101270341	-0.0004734048259299802

Results

37.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 216 to 147 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

Operation ival-log, time spent: 6.0ms, 36.0% of total-time

Operation ival-add, time spent: 3.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 18.0% of total-time

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

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

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

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

bsearch26.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-71160.13101270341	-0.0004734048259299802

Results

23.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 134 to 93 computations (30.6% saved)

Precisions

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

Operation ival-log, time spent: 3.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 28.0% 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 const, time spent: 0.0ms, 0.0% of total-time

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.4593101693847171	9.033760135794529

Results

17.0ms	111×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 94 to 61 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-add, time spent: 3.0ms, 37.0% of total-time

Operation ival-log, time spent: 2.0ms, 25.0% of total-time

Operation ival-mult, time spent: 1.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 12.0% of total-time

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

Operation ival-fabs, time spent: 0.0ms, 0.0% 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`
16×	`*-commutative`
10×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	855
1	105	855
2	113	855
3	117	855
4	118	855

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) -10) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (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 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4150517416584649/4611686018427387904) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 7378697629483821/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 7378697629483821/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (.f64 x 2)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x 2)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x 2)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -10) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (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 x (hypot.f64 1 x))) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -10) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 0) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) 3/40) 1/6)))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -4150517416584649/4611686018427387904) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 7378697629483821/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 7378697629483821/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (.f64 x 2)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x 2)) x)))
(if (<=.f64 x -3602879701896397/1125899906842624) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (log.f64 (*.f64 x 2)) x)))
(if (<=.f64 x -1/2) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 3602879701896397/2251799813685248) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 239 to 161 computations (32.6% saved)

soundness687.0ms (9.2%)

Rules

1354×	`distribute-lft-in`
1326×	`distribute-rgt-in`
1310×	`fma-neg`
1258×	`distribute-lft-in`
1002×	`prod-diff`

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
0	408	7112
1	908	6644
2	2625	5772
3	7644	5772
0	11	50
1	120	42
2	1555	42
0	494	8795
1	1084	8644
2	2955	8075
0	565	12137
1	1251	11457
2	3837	10677

Stop Event

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

Compiler

Compiled 1090 to 722 computations (33.8% saved)

end0.0ms (0%)

preprocess183.0ms (2.4%)

Compiler: Compiled 530 to 334 computations (37% 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%)

sample831.0ms (11.1%)

preprocess399.0ms (5.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize203.0ms (2.7%)

series6.0ms (0.1%)

rewrite297.0ms (4%)

simplify191.0ms (2.6%)

eval309.0ms (4.1%)

prune48.0ms (0.6%)

localize936.0ms (12.5%)

series17.0ms (0.2%)

rewrite121.0ms (1.6%)

simplify424.0ms (5.7%)

eval277.0ms (3.7%)

prune59.0ms (0.8%)

localize191.0ms (2.6%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize1.1s (14.2%)

series7.0ms (0.1%)

rewrite134.0ms (1.8%)

simplify172.0ms (2.3%)

eval312.0ms (4.2%)

prune72.0ms (1%)

regimes65.0ms (0.9%)

regimes30.0ms (0.4%)

regimes33.0ms (0.4%)

regimes28.0ms (0.4%)

regimes19.0ms (0.3%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch58.0ms (0.8%)

bsearch58.0ms (0.8%)

bsearch50.0ms (0.7%)

bsearch44.0ms (0.6%)

bsearch43.0ms (0.6%)

bsearch26.0ms (0.4%)

bsearch19.0ms (0.3%)

simplify19.0ms (0.3%)

soundness687.0ms (9.2%)

end0.0ms (0%)

preprocess183.0ms (2.4%)

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