Metrics for Logistic regression 2

analyze95.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

Operation ival-log, time spent: 12.0ms, 27.0% of total-time

Operation ival-mult, time spent: 11.0ms, 25.0% of total-time

Operation ival-exp, time spent: 7.0ms, 16.0% of total-time

Operation ival-add, time spent: 6.0ms, 14.0% of total-time

Operation ival-sub, time spent: 5.0ms, 11.0% of total-time

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

sample5.0s (41%)

Results

1.4s	7136×	256	valid
2.7s	2707×	8192	exit
233.0ms	713×	256	infinite
262.0ms	228×	512	valid
163.0ms	177×	1024	valid
0.0ms	1×	256	valid
1.0ms	1×	2048	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

Operation ival-log, time spent: 1.6s, 52.0% of total-time

Operation ival-mult, time spent: 497.0ms, 16.0% of total-time

Operation ival-exp, time spent: 380.0ms, 13.0% of total-time

Operation ival-sub, time spent: 303.0ms, 10.0% of total-time

Operation ival-add, time spent: 245.0ms, 8.0% of total-time

Operation const, time spent: 41.0ms, 1.0% of total-time

Bogosity

preprocess477.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

376×	`fma-define`
294×	`fma-neg`
88×	`cancel-sign-sub-inv`
72×	`sub-neg`
68×	`unsub-neg`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
2	85	(-6.397817746585327e+189 -8.41892995561491e+135)	-	`(log.f64 (+.f64 1 (exp.f64 x)))`
0	0	-	-	`1`
0	0	-	-	`y`
0	0	-	-	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`
0	0	-	-	`(+.f64 1 (exp.f64 x))`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 x y)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 1 (exp.f64 x)))`	sensitivity	85	0
`log.f64`	`(log.f64 (+.f64 1 (exp.f64 x)))`	oflow-rescue	2	0
↳	`(exp.f64 x)`	overflow	2
↳	`(+.f64 1 (exp.f64 x))`	overflow	2

Confusion

	Predicted +	Predicted -
+	2	0
-	85	169

Precision

0.022988505747126436

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	0
-	85	0	169

Precision?

0.022988505747126436

Recall?

1.0

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y))
(+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y))
(+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y)))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) y)))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 (neg.f64 x))) (*.f64 x y)))
(neg.f64 (+.f64 (*.f64 x y) (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x (neg.f64 y))))
(neg.f64 (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x (neg.f64 y))))
(neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)))
(neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log1p.f64 (exp.f64 y)) (*.f64 x y))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 y)))

Compiler

Compiled 80 to 46 computations (42.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 259.0ms

Operation ival-log, time spent: 209.0ms, 81.0% of total-time

Operation ival-add, time spent: 18.0ms, 7.0% of total-time

Operation ival-mult, time spent: 12.0ms, 5.0% of total-time

Operation ival-exp, time spent: 9.0ms, 3.0% of total-time

Operation ival-sub, time spent: 6.0ms, 2.0% of total-time

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

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
▶	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize152.0ms (1.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
✓	99.2%	(log1p.f64 (exp.f64 x))
✓	100.0%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 36 to 9 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

Operation composed, time spent: 73.0ms, 46.0% of total-time

Operation ival-log, time spent: 54.0ms, 34.0% of total-time

Operation ival-mult, time spent: 11.0ms, 7.0% of total-time

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

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

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

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

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

series67.0ms (0.5%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (log1p.f64 (exp.f64 x))>
#<alt (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))>
#<alt (log1p.f64 (exp.f64 x))>
#<alt (fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))>

Outputs
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))>
#<alt (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (.f64 -1 x))))>
#<alt (.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (.f64 -1 x))))>
#<alt (.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (.f64 -1 x))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 -1 y))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (+.f64 (.f64 -1 y) (*.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (+.f64 (.f64 -1 y) (.f64 x (+.f64 1/8 (.f64 -1/192 (pow.f64 x 2))))))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))>

Calls

18 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	(log (+ 1 (exp x)))
23.0ms	x	@	-inf	(log (+ 1 (exp x)))
3.0ms	y	@	0	(- (log (+ 1 (exp x))) (* x y))
0.0ms	x	@	0	(log (+ 1 (exp x)))
0.0ms	x	@	inf	(- (log (+ 1 (exp x))) (* x y))

rewrite270.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`prod-diff`
686×	`log-prod`
636×	`log1p-expm1-u`
636×	`expm1-log1p-u`
474×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	84
1	181	76
2	2466	76

Stop Event

1×	node limit

Counts

4 → 361

Calls

Call 1

Inputs
(log1p.f64 (exp.f64 x))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

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

simplify195.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1028×	`fma-neg`
904×	`distribute-lft-in`
740×	`distribute-rgt-in`
602×	`distribute-lft-neg-in`
536×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	14048
1	1328	13690
2	3561	13482

Stop Event

1×	node limit

Counts

433 → 262

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y)))
(.f64 -1 (.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(.f64 -1 (.f64 x y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
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(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) -1)
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(log.f64 (.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (.f64 x y)))))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 -1/192 (pow.f64 x 2) 1/8) 1/2) (log.f64 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (-.f64 (.f64 x 1/8) y))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (-.f64 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 -1/192 (pow.f64 x 2) 1/8) 1/2) y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(*.f64 x (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)) (.f64 -1 y))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(*.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y) x))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)) (.f64 -1 x))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(fma.f64 1/2 x (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x 1/8))))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 -1/192 (pow.f64 x 2) 1/8) 1/2) (log.f64 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 -1 y))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (+.f64 (.f64 -1 y) (*.f64 1/8 x)))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (-.f64 (.f64 x 1/8) y))))
(fma.f64 x (-.f64 (fma.f64 x 1/8 1/2) y) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (+.f64 (.f64 -1 y) (.f64 x (+.f64 1/8 (.f64 -1/192 (pow.f64 x 2))))))))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (-.f64 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2)))) y))))
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 -1/192 (pow.f64 x 2) 1/8) 1/2) y) (log.f64 2))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(log.f64 (+.f64 1 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))
(*.f64 y (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) y) x))
(+.f64 0 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1)) (cbrt.f64 (+.f64 (exp.f64 x) 1)))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 x) 1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (+.f64 1 (exp.f64 x))))) (log.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(+.f64 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log.f64 (+.f64 1 (-.f64 (exp.f64 (*.f64 x 2)) (exp.f64 x)))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(-.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (exp.f64 x)))) 1)
(log1p.f64 (exp.f64 x))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (*.f64 x 2)))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (log.f64 (-.f64 1 (exp.f64 x))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 x) 2))) (log1p.f64 (neg.f64 (exp.f64 x))))
(*.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(*.f64 (log1p.f64 (exp.f64 x)) (log.f64 (exp.f64 1)))
(log1p.f64 (exp.f64 x))
(*.f64 1 (log1p.f64 (exp.f64 x)))
(log1p.f64 (exp.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(*.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(pow.f64 (log1p.f64 (exp.f64 x)) 1)
(log1p.f64 (exp.f64 x))
(pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 3)
(log1p.f64 (exp.f64 x))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) 1/3)
(log1p.f64 (exp.f64 x))
(pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) 2)
(log1p.f64 (exp.f64 x))
(sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2))
(log1p.f64 (exp.f64 x))
(log.f64 (+.f64 (exp.f64 x) 1))
(log1p.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3))
(log1p.f64 (exp.f64 x))
(expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) 1))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (exp.f64 x)))) 3))
(log1p.f64 (exp.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(log1p.f64 (exp.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) 2))
(log1p.f64 (exp.f64 x))
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 y x (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 x y (*.f64 x y)))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (.f64 2 (.f64 x y)))
(+.f64 (log1p.f64 (exp.f64 x)) (.f64 (.f64 x y) 3))
(+.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x y))) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x y)))
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(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2) (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (/.f64 1 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) 1) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(.f64 (+.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (.f64 x y))) (-.f64 (sqrt.f64 (log1p.f64 (exp.f64 x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(/.f64 1 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) 1) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 1 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2) (fma.f64 x y (log1p.f64 (exp.f64 x))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) 1) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) 1) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) (neg.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (-.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (log1p.f64 (exp.f64 x)) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (-.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (pow.f64 (.f64 x y) 2)) (.f64 (.f64 x y) (log1p.f64 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (log1p.f64 (exp.f64 x)) (-.f64 (log1p.f64 (exp.f64 x)) (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (.f64 x y) (log1p.f64 (exp.f64 x))))
(pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3) 1/3)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 2)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3))) -1)
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) 1) (fma.f64 (*.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) 3) (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x y) (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) 2)))
(pow.f64 (/.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2)) -1)
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (exp.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (.f64 x y)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x y))) (+.f64 (exp.f64 x) 1)))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(log.f64 (*.f64 (/.f64 1 (pow.f64 (exp.f64 x) y)) (+.f64 (exp.f64 x) 1)))
(log.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (+.f64 1 (expm1.f64 (*.f64 x y)))))
(log.f64 (*.f64 (+.f64 1 (exp.f64 x)) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) y)))
(log.f64 (/.f64 (+.f64 (exp.f64 x) 1) (/.f64 1 (pow.f64 (exp.f64 x) y))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(hypot.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(hypot.f64 (*.f64 x y) (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x)))) 1))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 1/3))
(fma.f64 x y (log1p.f64 (exp.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x y (log1p.f64 (exp.f64 x))))) 2))
(fma.f64 x y (log1p.f64 (exp.f64 x)))

eval76.0ms (0.6%)

Compiler: Compiled 5994 to 2047 computations (65.8% saved)

prune58.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	298	6	304
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	299	7	306

Accuracy

100.0%

Counts

306 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.5%	(fma.f64 x (neg.f64 y) (log.f64 2))
✓	99.2%	(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶	91.5%	(-.f64 (log.f64 2) (*.f64 x y))
▶	78.7%	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
▶	84.2%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	53.2%	(*.f64 y (neg.f64 x))
▶	99.2%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))

Compiler

Compiled 123 to 90 computations (26.8% saved)

localize415.0ms (3.4%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
✓	100.0%	(.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	100.0%	(*.f64 x (-.f64 1/2 y))
✓	100.0%	(-.f64 (log.f64 2) (*.f64 x y))
✓	100.0%	(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
✓	99.8%	(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
✓	99.8%	(/.f64 (log1p.f64 (exp.f64 x)) x)
	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 118 to 63 computations (46.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

Operation ival-log, time spent: 136.0ms, 45.0% of total-time

Operation composed, time spent: 60.0ms, 20.0% of total-time

Operation ival-mult, time spent: 46.0ms, 15.0% of total-time

Operation ival-sub, time spent: 22.0ms, 7.0% of total-time

Operation ival-add, time spent: 19.0ms, 6.0% of total-time

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

Operation ival-div, time spent: 6.0ms, 2.0% of total-time

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

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

series43.0ms (0.4%)

Counts

9 → 181

Calls

Call 1

Inputs
#<alt (/.f64 (log1p.f64 (exp.f64 x)) x)>
#<alt (*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))>
#<alt (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)>
#<alt (-.f64 (log.f64 2) (*.f64 x y))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))>
#<alt (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))>
#<alt (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)>

Outputs
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (*.f64 1/2 x)) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))>
#<alt (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)))))>
#<alt (log.f64 (+.f64 1 (exp.f64 x)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 x y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) y)))))>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y))) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/192 (pow.f64 x 2))))) y))) x)>
#<alt (*.f64 -1 y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y)>
#<alt (*.f64 -1 y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y)>
#<alt (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x) y)>
#<alt (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x)>
#<alt (+.f64 (*.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x))>
#<alt (+.f64 (*.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x))>
#<alt (+.f64 (*.f64 -1 y) (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) x))>
#<alt (*.f64 -1 y)>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1))>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1))>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y)) 1))>
#<alt (*.f64 -1 y)>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 x y))))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 -1 y))))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 -1 y))))>
#<alt (.f64 -1 (.f64 x (-.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 -1 y))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))>
#<alt (*.f64 y (-.f64 (/.f64 (log.f64 2) y) x))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 x))))>
#<alt (.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 x))))>
#<alt (.f64 -1 (.f64 y (-.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 x))))>
#<alt (*.f64 1/2 x)>
#<alt (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))>
#<alt (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (*.f64 1/2 (/.f64 x y))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1/2 (/.f64 x y)))))>
#<alt (log.f64 2)>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 (+.f64 1/2 (/.f64 (log.f64 2) x)) y))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1 (-.f64 1/2 y)) (.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1 (-.f64 1/2 y)) (.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 (.f64 -1 (-.f64 1/2 y)) (.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (*.f64 1/2 x)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (*.f64 1/2 (/.f64 x y)) (/.f64 (log.f64 2) y))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) y)))))>
#<alt (*.f64 x (-.f64 1/2 y))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/8 x)))>
#<alt (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))) (/.f64 y x)))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 1/2 y)) (.f64 -1 (/.f64 (log.f64 2) x))) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (-.f64 1/2 y)) (.f64 -1 (/.f64 (log.f64 2) x))) x))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (.f64 -1 (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (*.f64 1/8 x)))) y)))))>
#<alt (-.f64 1/2 y)>
#<alt (*.f64 1/8 x)>
#<alt (.f64 x (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 x (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (.f64 x (-.f64 (+.f64 1/8 (.f64 1/2 (/.f64 1 x))) (/.f64 y x)))>
#<alt (*.f64 1/8 x)>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 1/2 y) x)) 1/8)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 1/2 y) x)) 1/8)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (-.f64 1/2 y) x)) 1/8)))>
#<alt (+.f64 1/2 (*.f64 1/8 x))>
#<alt (+.f64 1/2 (+.f64 (.f64 -1 y) (.f64 1/8 x)))>
#<alt (+.f64 1/2 (+.f64 (.f64 -1 y) (.f64 1/8 x)))>
#<alt (+.f64 1/2 (+.f64 (.f64 -1 y) (.f64 1/8 x)))>
#<alt (*.f64 -1 y)>
#<alt (.f64 y (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1))>
#<alt (.f64 y (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1))>
#<alt (*.f64 -1 y)>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 x)) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 x)) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 x)) y)))))>

Calls

51 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(/ (log (+ 1 (exp x))) x)
8.0ms	x	@	-inf	(/ (log (+ 1 (exp x))) x)
3.0ms	x	@	0	(- (log 2) (* x y))
1.0ms	y	@	0	(- (log 2) (* x y))
1.0ms	x	@	-inf	(* x (- (+ 1/2 (* 1/8 x)) y))

rewrite227.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

755×	`log1p-expm1-u`
372×	`associate-r`
218×	`expm1-log1p-u`
213×	`add-cube-cbrt`
212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	264
1	443	244
2	6963	244

Stop Event

1×	node limit

Counts

9 → 290

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (exp.f64 x)) x)
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y)
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 1/2 y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(-.f64 (+.f64 1/2 (*.f64 1/8 x)) y)

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

simplify252.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

830×	`sub-neg`
730×	`fma-define`
574×	`associate-r`
562×	`distribute-rgt-in`
554×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	19188
1	1896	18065
2	6531	18065

Stop Event

1×	node limit

Counts

471 → 469

Calls

Call 1

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

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

eval181.0ms (1.5%)

Compiler: Compiled 8455 to 5255 computations (37.8% saved)

prune410.0ms (3.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	504	7	511
Fresh	1	0	1
Picked	2	3	5
Done	1	0	1
Total	508	10	518

Accuracy

100.0%

Counts

518 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	84.2%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
▶	50.5%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
▶	47.8%	(+.f64 (log.f64 2) (*.f64 x 1/2))
	40.7%	(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (-.f64 (+.f64 -1/2 y) (/.f64 (log.f64 2) x)) x)))
▶	77.1%	(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
✓	53.2%	(*.f64 y (neg.f64 x))
▶	91.4%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
	48.2%	(log1p.f64 (exp.f64 x))
▶	47.6%	(log.f64 2)

Compiler

Compiled 182 to 142 computations (22% saved)

localize379.0ms (3.1%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))
✓	99.7%	(/.f64 (log.f64 2) y)
✓	95.9%	(/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)
✓	95.5%	(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
✓	100.0%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	100.0%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	100.0%	(-.f64 (/.f64 (log.f64 2) x) y)
✓	99.8%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
✓	99.7%	(/.f64 (log.f64 2) x)

Compiler

Compiled 165 to 121 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

Operation ival-mult, time spent: 69.0ms, 34.0% of total-time

Operation ival-log, time spent: 60.0ms, 29.0% of total-time

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

Operation ival-add, time spent: 27.0ms, 13.0% of total-time

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

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

series74.0ms (0.6%)

Counts

10 → 127

Calls

Call 1

Inputs
#<alt (/.f64 (log.f64 2) x)>
#<alt (*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))>
#<alt (-.f64 (/.f64 (log.f64 2) x) y)>
#<alt (+.f64 (log.f64 2) (*.f64 x 1/2))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/8 x)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))>
#<alt (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))>

Outputs
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (.f64 x (+.f64 (.f64 -1 y) (/.f64 (log.f64 2) x)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (.f64 -1 (.f64 x (+.f64 y (*.f64 -1 (/.f64 (log.f64 2) x)))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (+.f64 (log.f64 2) (.f64 -1 (.f64 x y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 2) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 2) y)))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (/.f64 (log.f64 2) y)))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (*.f64 -1 (/.f64 (log.f64 2) y)))))>
#<alt (/.f64 (log.f64 2) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 x y))) x)>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 -1 (.f64 x y))) x)>
#<alt (*.f64 -1 y)>
#<alt (*.f64 -1 y)>
#<alt (/.f64 (log.f64 2) x)>
#<alt (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x))>
#<alt (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x))>
#<alt (+.f64 (*.f64 -1 y) (/.f64 (log.f64 2) x))>
#<alt (*.f64 -1 y)>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 2) (.f64 x y)) 1))>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 2) (.f64 x y)) 1))>
#<alt (.f64 y (-.f64 (/.f64 (log.f64 2) (.f64 x y)) 1))>
#<alt (*.f64 -1 y)>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y))))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 x (+.f64 1/2 (/.f64 (log.f64 2) x)))>
#<alt (*.f64 1/2 x)>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2)))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (*.f64 1/2 x))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 (log.f64 2) (pow.f64 x 2)))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (log.f64 2) x)) 1/2) x))))>
#<alt (*.f64 1/2 x)>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x)))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (.f64 y (-.f64 1 (.f64 1/2 (/.f64 1 y)))) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))>
#<alt (*.f64 1/2 (/.f64 x y))>
#<alt (.f64 x (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))))>
#<alt (.f64 x (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))))>
#<alt (.f64 x (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))))>
#<alt (*.f64 1/8 (/.f64 (pow.f64 x 2) y))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (/.f64 1 y)) (.f64 1/2 (/.f64 1 (.f64 x y)))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (/.f64 1 y)) (.f64 1/2 (/.f64 1 (.f64 x y)))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (/.f64 1 y)) (.f64 1/2 (/.f64 1 (.f64 x y)))))>
#<alt (*.f64 1/8 (/.f64 (pow.f64 x 2) y))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (/.f64 1 y)) (.f64 1/2 (/.f64 1 (.f64 x y)))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (/.f64 1 y)) (.f64 1/2 (/.f64 1 (.f64 x y)))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 1/8 (/.f64 1 y)) (.f64 1/2 (/.f64 1 (.f64 x y)))))>
#<alt (/.f64 (log.f64 2) y)>
#<alt (+.f64 (.f64 x (-.f64 (.f64 1/2 (/.f64 1 y)) 1)) (/.f64 (log.f64 2) y))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))>
#<alt (*.f64 1/8 (/.f64 (pow.f64 x 2) y))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (*.f64 1/8 (/.f64 1 y))) (/.f64 1 x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))>
#<alt (*.f64 1/8 (/.f64 (pow.f64 x 2) y))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))) y)>
#<alt (/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)>
#<alt (/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)>
#<alt (/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)>
#<alt (*.f64 -1 x)>
#<alt (*.f64 -1 x)>
#<alt (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))>
#<alt (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))>
#<alt (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))>

Calls

45 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(/ (log 2) x)
12.0ms	y	@	inf	(/ (log 2) y)
5.0ms	x	@	-inf	(+ (log 2) (* x 1/2))
4.0ms	x	@	inf	(/ (log 2) x)
4.0ms	y	@	0	(/ (log 2) y)

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

434×	`associate-r`
276×	`associate-l`
227×	`log1p-expm1-u`
227×	`expm1-log1p-u`
222×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	334
1	467	276

Stop Event

1×	node limit

Counts

10 → 359

Calls

Call 1

Inputs
(/.f64 (log.f64 2) x)
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(-.f64 (/.f64 (log.f64 2) x) y)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)
(/.f64 (log.f64 2) y)
(+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))

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

simplify313.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

938×	`fma-define`
892×	`associate-r`
832×	`associate-l`
610×	`*-commutative`
436×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	890	20699
1	2232	19467
2	7968	19415

Stop Event

1×	node limit

Counts

486 → 613

Calls

Call 1

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

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

eval424.0ms (3.5%)

Compiler: Compiled 12684 to 9304 computations (26.6% saved)

prune151.0ms (1.2%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	654	3	657
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	655	12	667

Accuracy

100.0%

Counts

667 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	84.2%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	50.5%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	47.8%	(+.f64 (log.f64 2) (*.f64 x 1/2))
▶	6.0%	(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
✓	77.1%	(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
▶	76.9%	(.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))
✓	53.2%	(*.f64 y (neg.f64 x))
✓	91.4%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
▶	3.5%	(*.f64 x 1/2)
▶	48.2%	(log1p.f64 (exp.f64 x))
✓	47.6%	(log.f64 2)

Compiler

Compiled 125 to 97 computations (22.4% saved)

localize689.0ms (5.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1/8 (/.f64 1/2 x))
✓	70.8%	(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
✓	100.0%	(+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)))
✓	99.4%	(*.f64 (/.f64 1 y) (log1p.f64 1))
	95.9%	(/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)
✓	95.5%	(.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))
	99.2%	(log1p.f64 (exp.f64 x))

Compiler

Compiled 140 to 101 computations (27.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 684.0ms

Operation composed, time spent: 210.0ms, 31.0% of total-time

Operation ival-log, time spent: 177.0ms, 26.0% of total-time

Operation ival-mult, time spent: 108.0ms, 16.0% of total-time

Operation ival-div, time spent: 89.0ms, 13.0% of total-time

Operation ival-add, time spent: 59.0ms, 9.0% of total-time

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

Operation const, time spent: 14.0ms, 2.0% of total-time

Operation ival-pow, time spent: 13.0ms, 2.0% of total-time

series47.0ms (0.4%)

Counts

5 → 84

Calls

Call 1

Inputs
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))>
#<alt (*.f64 (/.f64 1 y) (log1p.f64 1))>
#<alt (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)))>
#<alt (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))>
#<alt (+.f64 1/8 (/.f64 1/2 x))>

Outputs
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))>
#<alt (.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))>
#<alt (.f64 -1 (.f64 x y))>
#<alt (.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))>
#<alt (.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))>
#<alt (log.f64 2)>
#<alt (+.f64 (log.f64 2) (.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))>
#<alt (+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x)))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (.f64 y (-.f64 1 (.f64 1/2 (/.f64 1 y)))) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (/.f64 (log.f64 2) y)>
#<alt (+.f64 (.f64 x (-.f64 (.f64 1/2 (/.f64 1 y)) 1)) (/.f64 (log.f64 2) y))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))>
#<alt (+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))>
#<alt (*.f64 1/8 (/.f64 (pow.f64 x 2) y))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (*.f64 1/8 (/.f64 1 y))) (/.f64 1 x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))>
#<alt (*.f64 1/8 (/.f64 (pow.f64 x 2) y))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))>
#<alt (/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))) y)>
#<alt (/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)>
#<alt (/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)>
#<alt (/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)>
#<alt (*.f64 -1 x)>
#<alt (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))>
#<alt (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))>
#<alt (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))>
#<alt (*.f64 -1 x)>
#<alt (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))>
#<alt (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))>
#<alt (+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))>
#<alt (*.f64 1/2 x)>
#<alt (.f64 x (+.f64 1/2 (.f64 1/8 x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/8 x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/8 x)))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 1/8 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))>
#<alt (/.f64 1/2 x)>
#<alt (/.f64 (+.f64 1/2 (*.f64 1/8 x)) x)>
#<alt (/.f64 (+.f64 1/2 (*.f64 1/8 x)) x)>
#<alt (/.f64 (+.f64 1/2 (*.f64 1/8 x)) x)>
#<alt 1/8>
#<alt (+.f64 1/8 (*.f64 1/2 (/.f64 1 x)))>
#<alt (+.f64 1/8 (*.f64 1/2 (/.f64 1 x)))>
#<alt (+.f64 1/8 (*.f64 1/2 (/.f64 1 x)))>
#<alt 1/8>
#<alt (+.f64 1/8 (*.f64 1/2 (/.f64 1 x)))>
#<alt (+.f64 1/8 (*.f64 1/2 (/.f64 1 x)))>
#<alt (+.f64 1/8 (*.f64 1/2 (/.f64 1 x)))>

Calls

21 calls:

Time	Variable		Point	Expression
40.0ms	y	@	0	(* y (+ (* -1 x) (+ (* (/ 1 y) (log (+ 1 1))) (/ (* x (+ 1/2 (* 1/8 x))) y))))
0.0ms	x	@	-inf	(* (pow x 2) (+ 1/8 (/ 1/2 x)))
0.0ms	x	@	inf	(* (pow x 2) (+ 1/8 (/ 1/2 x)))
0.0ms	x	@	0	(* (pow x 2) (+ 1/8 (/ 1/2 x)))
0.0ms	x	@	inf	(* y (+ (* -1 x) (+ (* (/ 1 y) (log (+ 1 1))) (/ (* x (+ 1/2 (* 1/8 x))) y))))

rewrite189.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`log1p-expm1-u`
402×	`associate-r`
268×	`associate-l`
203×	`expm1-log1p-u`
197×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	198
1	446	168
2	7112	168

Stop Event

1×	node limit

Counts

5 → 150

Calls

Call 1

Inputs
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))
(*.f64 (/.f64 1 y) (log1p.f64 1))
(+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(+.f64 1/8 (/.f64 1/2 x))

Outputs
(+.f64 (.f64 y x) (.f64 y (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))
(+.f64 (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) (*.f64 y x))
(+.f64 (.f64 y (+.f64 x (/.f64 (log.f64 2) y))) (.f64 y (*.f64 (fma.f64 x 1/8 1/2) (/.f64 x y))))
(+.f64 (.f64 (+.f64 x (/.f64 (log.f64 2) y)) y) (.f64 (*.f64 (fma.f64 x 1/8 1/2) (/.f64 x y)) y))
(+.f64 (.f64 (.f64 y x) 1) (.f64 (.f64 y (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) 3)) (+.f64 (.f64 (.f64 y x) (.f64 y x)) (-.f64 (.f64 (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) (.f64 (.f64 y x) (.f64 y (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))))
(/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))) (-.f64 (.f64 y x) (.f64 y (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(/.f64 (.f64 y (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 3) (pow.f64 x 3))) (fma.f64 x x (.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))))
(/.f64 (.f64 y (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2))) (-.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 3) (pow.f64 x 3)) y) (fma.f64 x x (.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))))
(/.f64 (.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2)) y) (-.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))
(pow.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) 1)
(pow.f64 (cbrt.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))) 3)
(pow.f64 (pow.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))) 2)
(sqrt.f64 (pow.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))) y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))))))
(cbrt.f64 (pow.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) 3))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))))
(log1p.f64 (expm1.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))))
(exp.f64 (log.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))) 1))
(fma.f64 y x (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))
(fma.f64 x y (.f64 y (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 2) y))) 1)
(/.f64 1 (/.f64 y (log.f64 2)))
(/.f64 (log.f64 2) y)
(/.f64 (neg.f64 (log.f64 2)) (neg.f64 y))
(/.f64 (/.f64 (log.f64 2) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (log.f64 2) -1) (neg.f64 y))
(/.f64 (*.f64 -1 (log.f64 2)) (neg.f64 y))
(/.f64 (/.f64 (log.f64 2) 1) y)
(/.f64 (/.f64 (log.f64 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(pow.f64 (/.f64 (log.f64 2) y) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 2) y)) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 2) y) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 2) y)) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 2) y) 2))
(log.f64 (pow.f64 2 (/.f64 1 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 2) y))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 2) y) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 2) y)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 2) y)))
(exp.f64 (log.f64 (/.f64 (log.f64 2) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 2) y)) 1))
(-.f64 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) (/.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2) (-.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(.f64 1 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))
(.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) 1)
(.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) 2) (cbrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))))
(.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2)) (/.f64 1 (-.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))) (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2) (-.f64 (pow.f64 x 2) (.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2)) (-.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2))) (neg.f64 (-.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 (log.f64 2) y)) 3) (pow.f64 (.f64 (fma.f64 x 1/8 1/2) (/.f64 x y)) 3)) (+.f64 (.f64 (+.f64 x (/.f64 (log.f64 2) y)) (+.f64 x (/.f64 (log.f64 2) y))) (-.f64 (pow.f64 (.f64 (fma.f64 x 1/8 1/2) (/.f64 x y)) 2) (.f64 (+.f64 x (/.f64 (log.f64 2) y)) (*.f64 (fma.f64 x 1/8 1/2) (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y) 2) (pow.f64 x 2)) (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)))
(/.f64 (-.f64 (.f64 (+.f64 x (/.f64 (log.f64 2) y)) (+.f64 x (/.f64 (log.f64 2) y))) (pow.f64 (.f64 (fma.f64 x 1/8 1/2) (/.f64 x y)) 2)) (-.f64 (+.f64 x (/.f64 (log.f64 2) y)) (*.f64 (fma.f64 x 1/8 1/2) (/.f64 x y))))
(pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(exp.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
(exp.f64 (.f64 (log.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y))) 1))
(fma.f64 -1 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))
(fma.f64 x -1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))
(fma.f64 1 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))
(fma.f64 1 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) 2) (cbrt.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) x)
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) (sqrt.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x (fma.f64 x 1/8 1/2))) y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (.f64 x 2)))
(+.f64 (/.f64 (pow.f64 x 2) (.f64 x 2)) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) 1) (.f64 (/.f64 (pow.f64 x 2) (.f64 x 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 1/8 (pow.f64 x 2)) 3) (pow.f64 (/.f64 (pow.f64 x 2) (.f64 x 2)) 3)) (+.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (-.f64 (.f64 (/.f64 (pow.f64 x 2) (.f64 x 2)) (/.f64 (pow.f64 x 2) (.f64 x 2))) (.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (*.f64 x 2))))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (.f64 (/.f64 (pow.f64 x 2) (.f64 x 2)) (/.f64 (pow.f64 x 2) (.f64 x 2)))) (-.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (.f64 x 2))))
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)) (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))) (+.f64 1/8 (/.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (pow.f64 x 2)) (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (pow.f64 x 2)) (+.f64 1/8 (/.f64 1/2 x)))
(pow.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))) 3) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (+.f64 1/8 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3) (pow.f64 (pow.f64 x 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))) 1))
(fma.f64 1/8 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (*.f64 x 2)))
(fma.f64 (pow.f64 x 2) 1/8 (/.f64 (pow.f64 x 2) (*.f64 x 2)))
(-.f64 1/8 (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/8 (/.f64 1/2 x)))) 1)
(-.f64 (/.f64 1/64 (+.f64 1/8 (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/8 (/.f64 1/2 x))))
(*.f64 1 (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (+.f64 1/8 (/.f64 1/2 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (/.f64 1 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x)))))
(*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/2 x)) (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))))
(/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)) (neg.f64 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x)))))
(/.f64 (neg.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 (-.f64 1/512 (/.f64 1/8 (pow.f64 x 3))) (+.f64 1/64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) 1/64) (-.f64 (/.f64 1/2 x) 1/8))
(pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 1/8 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/8 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/8 (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (+.f64 1/8 (/.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 1/8 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/8 (/.f64 1/2 x))) 1))
(fma.f64 1 (/.f64 1/2 x) 1/8)
(fma.f64 1/2 (/.f64 -1 x) 1/8)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) 1/8)
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) 1/8)

simplify160.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

724×	`fma-neg`
700×	`cancel-sign-sub-inv`
552×	`distribute-rgt-neg-in`
544×	`distribute-lft-neg-in`
522×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	11174
1	1201	10846
2	4326	10615

Stop Event

1×	node limit

Counts

234 → 268

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(.f64 -1 (.f64 x y))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 -1 (.f64 x y))
(.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))
(.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))
(.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x)))
(.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))
(.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (.f64 y (-.f64 1 (.f64 1/2 (/.f64 1 y)))) x))))
(.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))
(.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(+.f64 (.f64 x (-.f64 (.f64 1/2 (/.f64 1 y)) 1)) (/.f64 (log.f64 2) y))
(+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))
(+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))
(*.f64 1/8 (/.f64 (pow.f64 x 2) y))
(.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (*.f64 1/8 (/.f64 1 y))) (/.f64 1 x)))
(.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))
(.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))
(*.f64 1/8 (/.f64 (pow.f64 x 2) y))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))
(/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))) y)
(/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)
(/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)
(/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))
(+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))
(+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y)))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))
(+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))
(+.f64 (.f64 -1 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (log.f64 2)) (.f64 -1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)))
(*.f64 1/2 x)
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 1/2 (/.f64 1 x))))
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(*.f64 1 (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (+.f64 1/8 (/.f64 1/2 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (/.f64 1 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x)))))
(*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 1 (/.f64 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/2 x)) (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))))
(/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)) (neg.f64 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x)))))
(/.f64 (neg.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 (-.f64 1/512 (/.f64 1/8 (pow.f64 x 3))) (+.f64 1/64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) 1/64) (-.f64 (/.f64 1/2 x) 1/8))
(pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 1/8 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/8 (/.f64 1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/8 (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (+.f64 1/8 (/.f64 1/2 x))))
(exp.f64 (log.f64 (+.f64 1/8 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/8 (/.f64 1/2 x))) 1))
(fma.f64 1 (/.f64 1/2 x) 1/8)
(fma.f64 1/2 (/.f64 -1 x) 1/8)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) 1/8)
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) 1/8)

Outputs
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2)))
(fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (fma.f64 x 1/8 1/2))))
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 y (neg.f64 x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (fma.f64 x 1/8 1/2))))
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 y (neg.f64 x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x)))))
(+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (fma.f64 x 1/8 1/2))))
(+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 y (neg.f64 x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y)))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (fma.f64 -1 x (+.f64 (/.f64 (log.f64 2) y) (.f64 x (/.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x 1/8 1/2) y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) y) x))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (fma.f64 -1 x (+.f64 (/.f64 (log.f64 2) y) (.f64 x (/.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x 1/8 1/2) y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) y) x))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (fma.f64 -1 x (+.f64 (/.f64 (log.f64 2) y) (.f64 x (/.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x 1/8 1/2) y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) y) x))
(.f64 -1 (.f64 x y))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))
(.f64 y (fma.f64 -1 x (+.f64 (/.f64 (log.f64 2) y) (.f64 x (/.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x 1/8 1/2) y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) y) x))
(.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))
(.f64 y (fma.f64 -1 x (+.f64 (/.f64 (log.f64 2) y) (.f64 x (/.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x 1/8 1/2) y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) y) x))
(.f64 -1 (.f64 y (+.f64 x (+.f64 (.f64 -1 (/.f64 (log.f64 2) y)) (.f64 -1 (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))))
(.f64 y (fma.f64 -1 x (+.f64 (/.f64 (log.f64 2) y) (.f64 x (/.f64 (fma.f64 x 1/8 1/2) y)))))
(*.f64 y (-.f64 (fma.f64 x (/.f64 (fma.f64 x 1/8 1/2) y) (/.f64 (log.f64 2) y)) x))
(*.f64 y (-.f64 (/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) y) x))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 x (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1))))
(+.f64 (log.f64 2) (.f64 (.f64 x y) (+.f64 (/.f64 1/2 y) -1)))
(fma.f64 x (*.f64 y (+.f64 -1 (/.f64 1/2 y))) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))
(+.f64 (log.f64 2) (.f64 x (fma.f64 1/8 x (.f64 y (+.f64 (/.f64 1/2 y) -1)))))
(fma.f64 x (fma.f64 x 1/8 (*.f64 y (+.f64 -1 (/.f64 1/2 y)))) (log.f64 2))
(fma.f64 x (fma.f64 y (+.f64 -1 (/.f64 1/2 y)) (*.f64 x 1/8)) (log.f64 2))
(+.f64 (log.f64 2) (.f64 x (+.f64 (.f64 1/8 x) (.f64 y (-.f64 (.f64 1/2 (/.f64 1 y)) 1)))))
(+.f64 (log.f64 2) (.f64 x (fma.f64 1/8 x (.f64 y (+.f64 (/.f64 1/2 y) -1)))))
(fma.f64 x (fma.f64 x 1/8 (*.f64 y (+.f64 -1 (/.f64 1/2 y)))) (log.f64 2))
(fma.f64 x (fma.f64 y (+.f64 -1 (/.f64 1/2 y)) (*.f64 x 1/8)) (log.f64 2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x)))
(.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (.f64 y (+.f64 (/.f64 1/2 y) -1)) x)))
(*.f64 (pow.f64 x 2) (fma.f64 y (/.f64 (+.f64 -1 (/.f64 1/2 y)) x) 1/8))
(.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))
(.f64 (pow.f64 x 2) (+.f64 (+.f64 1/8 (/.f64 (log.f64 2) (pow.f64 x 2))) (/.f64 (.f64 y (+.f64 (/.f64 1/2 y) -1)) x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (fma.f64 y (/.f64 (+.f64 -1 (/.f64 1/2 y)) x) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (+.f64 1/8 (+.f64 (/.f64 (log.f64 2) (pow.f64 x 2)) (/.f64 (.f64 y (-.f64 (*.f64 1/2 (/.f64 1 y)) 1)) x))))
(.f64 (pow.f64 x 2) (+.f64 (+.f64 1/8 (/.f64 (log.f64 2) (pow.f64 x 2))) (/.f64 (.f64 y (+.f64 (/.f64 1/2 y) -1)) x)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (fma.f64 y (/.f64 (+.f64 -1 (/.f64 1/2 y)) x) (/.f64 (log.f64 2) (pow.f64 x 2)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (.f64 y (-.f64 1 (.f64 1/2 (/.f64 1 y)))) x))))
(.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 (.f64 y (+.f64 (/.f64 1/2 y) -1)) x)))
(*.f64 (pow.f64 x 2) (fma.f64 y (/.f64 (+.f64 -1 (/.f64 1/2 y)) x) 1/8))
(.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))
(.f64 (pow.f64 x 2) (+.f64 1/8 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log.f64 2) x) (.f64 y (-.f64 1 (/.f64 1/2 y)))) x))))
(.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (-.f64 (.f64 y (+.f64 1 (/.f64 -1/2 y))) (/.f64 (log.f64 2) x)) x)))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (fma.f64 y (+.f64 1 (/.f64 -1/2 y)) (/.f64 (log.f64 2) (neg.f64 x))) x)))
(.f64 (pow.f64 x 2) (+.f64 1/8 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 2) x)) (.f64 y (-.f64 1 (*.f64 1/2 (/.f64 1 y))))) x))))
(.f64 (pow.f64 x 2) (+.f64 1/8 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log.f64 2) x) (.f64 y (-.f64 1 (/.f64 1/2 y)))) x))))
(.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (-.f64 (.f64 y (+.f64 1 (/.f64 -1/2 y))) (/.f64 (log.f64 2) x)) x)))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (fma.f64 y (+.f64 1 (/.f64 -1/2 y)) (/.f64 (log.f64 2) (neg.f64 x))) x)))
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(/.f64 (log.f64 2) y)
(+.f64 (.f64 x (-.f64 (.f64 1/2 (/.f64 1 y)) 1)) (/.f64 (log.f64 2) y))
(fma.f64 x (+.f64 (/.f64 1/2 y) -1) (/.f64 (log.f64 2) y))
(fma.f64 x (+.f64 -1 (/.f64 1/2 y)) (/.f64 (log.f64 2) y))
(+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))
(fma.f64 x (+.f64 (fma.f64 1/8 (/.f64 x y) (/.f64 1/2 y)) -1) (/.f64 (log.f64 2) y))
(fma.f64 x (+.f64 -1 (fma.f64 1/8 (/.f64 x y) (/.f64 1/2 y))) (/.f64 (log.f64 2) y))
(+.f64 (.f64 x (-.f64 (+.f64 (.f64 1/8 (/.f64 x y)) (*.f64 1/2 (/.f64 1 y))) 1)) (/.f64 (log.f64 2) y))
(fma.f64 x (+.f64 (fma.f64 1/8 (/.f64 x y) (/.f64 1/2 y)) -1) (/.f64 (log.f64 2) y))
(fma.f64 x (+.f64 -1 (fma.f64 1/8 (/.f64 x y) (/.f64 1/2 y))) (/.f64 (log.f64 2) y))
(*.f64 1/8 (/.f64 (pow.f64 x 2) y))
(.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (*.f64 1/8 (/.f64 1 y))) (/.f64 1 x)))
(.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (.f64 x y)) (-.f64 (/.f64 1/8 y) (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/8 y) (/.f64 (+.f64 -1 (/.f64 1/2 y)) x)))
(.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))
(.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (.f64 x y)) (-.f64 (+.f64 (/.f64 1/8 y) (/.f64 (log.f64 2) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 (+.f64 (/.f64 1/8 y) (/.f64 (log.f64 2) (.f64 y (pow.f64 x 2)))) (/.f64 (+.f64 -1 (/.f64 1/2 y)) x)))
(.f64 (pow.f64 x 2) (+.f64 (+.f64 (/.f64 1/8 y) (/.f64 (+.f64 -1 (/.f64 1/2 y)) x)) (/.f64 (log.f64 2) (.f64 y (pow.f64 x 2)))))
(.f64 (pow.f64 x 2) (-.f64 (+.f64 (/.f64 1/2 (.f64 x y)) (+.f64 (.f64 1/8 (/.f64 1 y)) (/.f64 (log.f64 2) (.f64 (pow.f64 x 2) y)))) (/.f64 1 x)))
(.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (.f64 x y)) (-.f64 (+.f64 (/.f64 1/8 y) (/.f64 (log.f64 2) (*.f64 y (pow.f64 x 2)))) (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 (+.f64 (/.f64 1/8 y) (/.f64 (log.f64 2) (.f64 y (pow.f64 x 2)))) (/.f64 (+.f64 -1 (/.f64 1/2 y)) x)))
(.f64 (pow.f64 x 2) (+.f64 (+.f64 (/.f64 1/8 y) (/.f64 (+.f64 -1 (/.f64 1/2 y)) x)) (/.f64 (log.f64 2) (.f64 y (pow.f64 x 2)))))
(*.f64 1/8 (/.f64 (pow.f64 x 2) y))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 1 (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))
(.f64 (pow.f64 x 2) (+.f64 (/.f64 1/2 (.f64 x y)) (-.f64 (/.f64 1/8 y) (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/8 y) (/.f64 (+.f64 -1 (/.f64 1/2 y)) x)))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))
(.f64 (pow.f64 x 2) (fma.f64 -1 (/.f64 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 2)) (.f64 x y)) (/.f64 1/2 y))) x) (/.f64 1/8 y)))
(.f64 (pow.f64 x 2) (-.f64 (/.f64 1/8 y) (/.f64 (+.f64 (-.f64 1 (/.f64 (log.f64 2) (.f64 x y))) (/.f64 -1/2 y)) x)))
(.f64 (pow.f64 x 2) (+.f64 (/.f64 1/8 y) (/.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x y)) (+.f64 -1 (/.f64 1/2 y))) x)))
(.f64 (pow.f64 x 2) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (log.f64 2) (.f64 x y)))) (.f64 1/2 (/.f64 1 y))) x)) (.f64 1/8 (/.f64 1 y))))
(.f64 (pow.f64 x 2) (fma.f64 -1 (/.f64 (+.f64 1 (-.f64 (/.f64 (neg.f64 (log.f64 2)) (.f64 x y)) (/.f64 1/2 y))) x) (/.f64 1/8 y)))
(.f64 (pow.f64 x 2) (-.f64 (/.f64 1/8 y) (/.f64 (+.f64 (-.f64 1 (/.f64 (log.f64 2) (.f64 x y))) (/.f64 -1/2 y)) x)))
(.f64 (pow.f64 x 2) (+.f64 (/.f64 1/8 y) (/.f64 (+.f64 (/.f64 (log.f64 2) (.f64 x y)) (+.f64 -1 (/.f64 1/2 y))) x)))
(/.f64 (+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x)))) y)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y)
(/.f64 (fma.f64 x (fma.f64 x 1/8 1/2) (log.f64 2)) y)
(/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)
(/.f64 (+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (fma.f64 x 1/8 1/2)))) y)
(/.f64 (+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 y (neg.f64 x)))) y)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) y)
(/.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (.f64 x y)) (.f64 x (+.f64 1/2 (.f64 1/8 x))))) y)
(/.f64 (+.f64 (log.f64 2) (fma.f64 -1 (.f64 x y) (.f64 x (fma.f64 x 1/8 1/2)))) y)
(/.f64 (+.f64 (log.f64 2) (fma.f64 x (fma.f64 x 1/8 1/2) (*.f64 y (neg.f64 x)))) y)
(/.f64 (+.f64 (log.f64 2) (*.f64 x (-.f64 (fma.f64 x 1/8 1/2) y))) y)
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(-.f64 (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y) x)
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(expm1.f64 (log1p.f64 (+.f64 x (/.f64 (-.f64 (log.f64 2) (*.f64 x (fma.f64 x 1/8 1/2))) y))))
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(/.f64 (+.f64 (.f64 1/512 (pow.f64 (pow.f64 x 2) 3)) (pow.f64 (/.f64 (pow.f64 x 2) (.f64 2 x)) 3)) (+.f64 (.f64 1/64 (.f64 (pow.f64 x 2) (pow.f64 x 2))) (.f64 (/.f64 (pow.f64 x 2) (.f64 2 x)) (-.f64 (/.f64 (pow.f64 x 2) (.f64 2 x)) (.f64 1/8 (pow.f64 x 2))))))
(/.f64 (fma.f64 1/512 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (/.f64 (pow.f64 x 2) (.f64 2 x)) 3)) (+.f64 (fma.f64 1/64 (pow.f64 x 4) (/.f64 (/.f64 (pow.f64 x 4) (.f64 2 x)) (.f64 2 x))) (.f64 -1/8 (/.f64 (pow.f64 x 4) (*.f64 2 x)))))
(/.f64 (fma.f64 1/512 (pow.f64 x 6) (.f64 (pow.f64 x 3) 1/8)) (fma.f64 (.f64 x 1/2) (fma.f64 x 1/2 (.f64 (pow.f64 x 2) -1/8)) (.f64 1/64 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 1/8 (pow.f64 x 2))) (.f64 (/.f64 (pow.f64 x 2) (.f64 x 2)) (/.f64 (pow.f64 x 2) (.f64 x 2)))) (-.f64 (.f64 1/8 (pow.f64 x 2)) (/.f64 (pow.f64 x 2) (.f64 x 2))))
(*.f64 x (fma.f64 x 1/8 1/2))
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)) (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x)))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 -1/16 x)))))
(/.f64 (*.f64 (pow.f64 x 2) (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (pow.f64 x 2)) (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x)))))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 -1/16 x)))))
(/.f64 (*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (pow.f64 x 2)) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (pow.f64 x 2) (/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x))))
(pow.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))) 1)
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))) 3)
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))) 3) 1/3)
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(pow.f64 (*.f64 x (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x)))) 2)
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 2)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))) 2))
(fabs.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 2)) (+.f64 1/8 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))) 3))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3) (pow.f64 (pow.f64 x 2) 3)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))))
(+.f64 0 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))) 1))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(fma.f64 1/8 (pow.f64 x 2) (/.f64 (pow.f64 x 2) (*.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 1/2))
(fma.f64 (pow.f64 x 2) 1/8 (/.f64 (pow.f64 x 2) (*.f64 x 2)))
(*.f64 x (fma.f64 x 1/8 1/2))
(-.f64 1/8 (/.f64 1/2 x))
(+.f64 1/8 (/.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/8 (/.f64 1/2 x)))) 1)
(+.f64 1/8 (/.f64 1/2 x))
(-.f64 (/.f64 1/64 (+.f64 1/8 (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/8 (/.f64 1/2 x))))
(+.f64 (/.f64 1/64 (+.f64 1/8 (/.f64 1/2 x))) (/.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 -1/8 (/.f64 -1/2 x))))
(+.f64 (/.f64 1/64 (+.f64 1/8 (/.f64 1/2 x))) (/.f64 1/4 (*.f64 (pow.f64 x 2) (+.f64 -1/8 (/.f64 -1/2 x)))))
(*.f64 1 (+.f64 1/8 (/.f64 1/2 x)))
(+.f64 1/8 (/.f64 1/2 x))
(*.f64 (+.f64 1/8 (/.f64 1/2 x)) 1)
(+.f64 1/8 (/.f64 1/2 x))
(*.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2))
(+.f64 1/8 (/.f64 1/2 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2) (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))))
(+.f64 1/8 (/.f64 1/2 x))
(*.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))) (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))))
(+.f64 1/8 (/.f64 1/2 x))
(*.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (/.f64 1 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 -1/16 x))))
(*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x)))
(/.f64 1 (/.f64 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 -1/16 x))))
(/.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/2 x)) (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))))
(*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 -1/16 x))))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 -1/16 x))))
(/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x)))
(*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)) (neg.f64 (+.f64 1/64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x)))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 1/64 (/.f64 1/16 x))) (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512)))
(/.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) 1/512) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 -1/16 x))))
(/.f64 (neg.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (+.f64 1/8 (/.f64 1/2 x))))
(*.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (+.f64 1/8 (/.f64 1/2 x))))
(/.f64 (+.f64 1/64 (/.f64 1/4 (pow.f64 x 2))) (+.f64 1/8 (/.f64 1/2 x)))
(/.f64 (-.f64 1/512 (/.f64 1/8 (pow.f64 x 3))) (+.f64 1/64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (+.f64 1/512 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 1/64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 1/16 x))))
(/.f64 (+.f64 1/512 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 1/64 (/.f64 1/16 x))))
(/.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) 1/64) (-.f64 (/.f64 1/2 x) 1/8))
(/.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) -1/64) (+.f64 (/.f64 1/2 x) -1/8))
(pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 1)
(+.f64 1/8 (/.f64 1/2 x))
(pow.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 3)
(+.f64 1/8 (/.f64 1/2 x))
(pow.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3) 1/3)
(+.f64 1/8 (/.f64 1/2 x))
(pow.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/2 x))) 2)
(+.f64 1/8 (/.f64 1/2 x))
(sqrt.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 2))
(+.f64 1/8 (/.f64 1/2 x))
(log.f64 (exp.f64 (+.f64 1/8 (/.f64 1/2 x))))
(+.f64 1/8 (/.f64 1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/8 (/.f64 1/2 x)))))
(+.f64 1/8 (/.f64 1/2 x))
(cbrt.f64 (pow.f64 (+.f64 1/8 (/.f64 1/2 x)) 3))
(+.f64 1/8 (/.f64 1/2 x))
(expm1.f64 (log1p.f64 (+.f64 1/8 (/.f64 1/2 x))))
(+.f64 1/8 (/.f64 1/2 x))
(log1p.f64 (expm1.f64 (+.f64 1/8 (/.f64 1/2 x))))
(+.f64 1/8 (/.f64 1/2 x))
(exp.f64 (log.f64 (+.f64 1/8 (/.f64 1/2 x))))
(+.f64 1/8 (/.f64 1/2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 1/8 (/.f64 1/2 x))) 1))
(+.f64 1/8 (/.f64 1/2 x))
(fma.f64 1 (/.f64 1/2 x) 1/8)
(+.f64 1/8 (/.f64 1/2 x))
(fma.f64 1/2 (/.f64 -1 x) 1/8)
(-.f64 1/8 (/.f64 1/2 x))
(+.f64 1/8 (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (cbrt.f64 (/.f64 1/2 x)) 1/8)
(+.f64 1/8 (/.f64 1/2 x))
(fma.f64 (sqrt.f64 (/.f64 1/2 x)) (sqrt.f64 (/.f64 1/2 x)) 1/8)
(+.f64 1/8 (/.f64 1/2 x))

eval214.0ms (1.8%)

Compiler: Compiled 7683 to 5546 computations (27.8% saved)

prune81.0ms (0.7%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	373	1	374
Fresh	0	0	0
Picked	1	3	4
Done	0	8	8
Total	374	12	386

Accuracy

100.0%

Counts

386 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	91.5%	(-.f64 (log.f64 2) (*.f64 x y))
✓	84.2%	(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
✓	50.5%	(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
✓	47.8%	(+.f64 (log.f64 2) (*.f64 x 1/2))
✓	77.1%	(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
✓	76.9%	(.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))
✓	53.2%	(*.f64 y (neg.f64 x))
✓	91.4%	(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
	6.0%	(.f64 x (+.f64 1/2 (.f64 1/8 x)))
✓	3.5%	(*.f64 x 1/2)
✓	48.2%	(log1p.f64 (exp.f64 x))
✓	47.6%	(log.f64 2)

Compiler

Compiled 299 to 209 computations (30.1% saved)

regimes45.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (-.f64 (+.f64 -1/2 y) (/.f64 (log.f64 2) x)) x)))
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))

Calls

3 calls:

23.0ms	y
10.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
10.0ms	x

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes40.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log1p.f64 (exp.f64 x)) x) y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(*.f64 (pow.f64 x 2) (-.f64 1/8 (/.f64 (-.f64 (+.f64 -1/2 y) (/.f64 (log.f64 2) x)) x)))

Outputs
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

Calls

3 calls:

20.0ms	y
12.0ms	x
6.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Accuracy	Segments	Branch
99.2%	1	`x`
99.2%	1	`y`
99.2%	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes40.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (/.f64 (log.f64 2) y) (/.f64 (.f64 x (+.f64 1/2 (.f64 1/8 x))) y))))
(.f64 y (+.f64 (.f64 -1 x) (+.f64 (.f64 (/.f64 1 y) (log1p.f64 1)) (/.f64 (.f64 x (+.f64 1/2 (*.f64 1/8 x))) y))))
(log1p.f64 (exp.f64 x))
(fma.f64 x (neg.f64 y) (log.f64 2))

Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (.f64 1/8 x)) y)))

Calls

2 calls:

26.0ms	x
14.0ms	y

Results

Accuracy	Segments	Branch
99.6%	2	`x`
91.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(*.f64 (pow.f64 x 2) (+.f64 1/8 (/.f64 1/2 x)))
(+.f64 (log.f64 2) (.f64 x (+.f64 1/2 (.f64 1/8 x))))

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))
(-.f64 (log.f64 2) (*.f64 x y))
(*.f64 x (-.f64 (/.f64 (log.f64 2) x) y))

Outputs
(*.f64 y (neg.f64 x))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 x 1/2))

Outputs
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (*.f64 x 1/2))

Calls

2 calls:

24.0ms	y
15.0ms	x

Results

Accuracy	Segments	Branch
74.7%	5	`y`
84.1%	2	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))
(log.f64 2)

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
83.9%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)
(*.f64 y (neg.f64 x))
(.f64 x (+.f64 1/2 (.f64 1/8 x)))

Outputs
(*.f64 y (neg.f64 x))

Calls

2 calls:

9.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
53.2%	1	`y`
53.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x 1/2)

Outputs
(*.f64 x 1/2)

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch44.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-27708.874106768257	-8.111601070912601e-11

Results

19.0ms	122×	256	valid
12.0ms	33×	512	valid
1.0ms	3×	1024	valid
0.0ms	1×	512	valid
0.0ms	1×	256	infinite

Compiler

Compiled 236 to 182 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

Operation ival-log, time spent: 10.0ms, 55.0% of total-time

Operation ival-exp, time spent: 4.0ms, 22.0% of total-time

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

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

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

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

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-27708.874106768257	-8.111601070912601e-11

Results

30.0ms	159×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 196 to 152 computations (22.4% saved)

Precisions

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

Operation ival-log, time spent: 3.0ms, 35.0% of total-time

Operation ival-exp, time spent: 2.0ms, 23.0% of total-time

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

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

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

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

bsearch39.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-27708.874106768257	-8.111601070912601e-11

Results

27.0ms	151×	256	valid
2.0ms	4×	1024	valid
1.0ms	2×	512	valid
0.0ms	2×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 176 to 132 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

Operation ival-log, time spent: 10.0ms, 61.0% of total-time

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

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

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

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

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

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-7.06642961779567e-80	-1.3433227281307938e-83

Results

30.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 144 to 116 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

Operation ival-add, time spent: 12.0ms, 59.0% of total-time

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

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

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

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

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-7.06642961779567e-80	-1.3433227281307938e-83

Results

18.0ms	127×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 112 to 92 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-exp, time spent: 2.0ms, 29.0% of total-time

Operation ival-log, time spent: 2.0ms, 29.0% of total-time

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

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

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

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
18×	`*-commutative`
14×	`sub-neg`
8×	`cancel-sign-sub-inv`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	353
1	76	353
2	90	353
3	94	353
4	95	353

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -150) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -95) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1668739871813211/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (*.f64 y (neg.f64 x)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x 1/2)

Outputs
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x)))
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
(if (<=.f64 x -150) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (*.f64 1/8 x)) y))))
(if (<=.f64 x -150) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (*.f64 x 1/8)) y))))
(if (<=.f64 x -150) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 (+.f64 1/2 (*.f64 x 1/8)) y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(if (<=.f64 x -95) (.f64 y (neg.f64 x)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -95) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -1668739871813211/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 y (neg.f64 x)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -1668739871813211/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 x (neg.f64 y)) (+.f64 (log.f64 2) (.f64 x 1/2)))
(if (<=.f64 x -8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (*.f64 y (neg.f64 x)) (log.f64 2))
(if (<=.f64 x -8009951384703413/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(*.f64 x 1/2)

Compiler

Compiled 113 to 81 computations (28.3% saved)

soundness855.0ms (7%)

Rules

1028×	`fma-neg`
938×	`fma-define`
904×	`distribute-lft-in`
892×	`associate-r`
832×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	14048
1	1328	13690
2	3561	13482
0	890	20699
1	2232	19467
2	7968	19415
0	782	19188
1	1896	18065
2	6531	18065
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Stop Event

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

Compiler

Compiled 149 to 87 computations (41.6% saved)

end0.0ms (0%)

preprocess135.0ms (1.1%)

Compiler: Compiled 272 to 158 computations (41.9% saved)

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210

analyze95.0ms (0.8%)

sample5.0s (41%)

preprocess477.0ms (3.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize152.0ms (1.3%)

series67.0ms (0.5%)

rewrite270.0ms (2.2%)

simplify195.0ms (1.6%)

eval76.0ms (0.6%)

prune58.0ms (0.5%)

localize415.0ms (3.4%)

series43.0ms (0.4%)

rewrite227.0ms (1.9%)

simplify252.0ms (2.1%)

eval181.0ms (1.5%)

prune410.0ms (3.4%)

localize379.0ms (3.1%)

series74.0ms (0.6%)

rewrite118.0ms (1%)

simplify313.0ms (2.6%)

eval424.0ms (3.5%)

prune151.0ms (1.2%)

localize689.0ms (5.7%)

series47.0ms (0.4%)

rewrite189.0ms (1.6%)

simplify160.0ms (1.3%)

eval214.0ms (1.8%)

prune81.0ms (0.7%)

regimes45.0ms (0.4%)

regimes40.0ms (0.3%)

regimes40.0ms (0.3%)

regimes14.0ms (0.1%)

regimes16.0ms (0.1%)

regimes39.0ms (0.3%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes6.0ms (0%)

bsearch44.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch39.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch21.0ms (0.2%)

simplify15.0ms (0.1%)

soundness855.0ms (7%)

end0.0ms (0%)

preprocess135.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	30	234
1	73	226
2	129	210
3	282	210
4	434	210
5	622	210
6	763	210
7	877	210
8	905	210
9	907	210