Metrics for Rust f64::asinh

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

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

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

sample672.0ms (9.1%)

Results

646.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

Operation ival-asinh, time spent: 142.0ms, 94.0% of total-time

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

Bogosity

preprocess439.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))`	sensitivity	138	1
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) 1))`	oflow-rescue	58	0
↳	`(*.f64 x x)`	overflow	58
↳	`(+.f64 (*.f64 x x) 1)`	overflow	58

Confusion

	Predicted +	Predicted -
+	196	0
-	0	60

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	196	0	0
-	0	1	59

Precision?

0.9949238578680203

Recall?

1.0

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x 1)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(asinh.f64 x)
(asinh.f64 (neg.f64 x))
(neg.f64 (asinh.f64 (neg.f64 x)))

Compiler

Compiled 128 to 68 computations (46.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 213.0ms

Operation ival-log, time spent: 109.0ms, 51.0% of total-time

Operation ival-add, time spent: 44.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 29.0ms, 14.0% of total-time

Operation ival-fabs, time spent: 9.0ms, 4.0% of total-time

Operation ival-copysign, time spent: 9.0ms, 4.0% of total-time

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.7%	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize193.0ms (2.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	50.7%	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 31 to 18 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

Operation composed, time spent: 72.0ms, 35.0% of total-time

Operation ival-log, time spent: 50.0ms, 25.0% of total-time

Operation ival-mult, time spent: 35.0ms, 17.0% of total-time

Operation ival-add, time spent: 20.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 15.0ms, 7.0% of total-time

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

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

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

series4.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite177.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	120	23
2	1555	23

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

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

simplify87.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1238×	`associate-+r+`
1174×	`fma-define`
954×	`associate-r`
780×	`associate-l`
730×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	3103
1	527	2973
2	1525	2757
3	5355	2698

Stop Event

1×	node limit

Counts

61 → 112

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 x 2) (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) x))) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x)) (.f64 1/2 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) x))) x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))))) (.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (pow.f64 x 2) (fma.f64 -1/24 (.f64 (pow.f64 x 2) (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))
(fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(+.f64 (log.f64 (+.f64 1 (fabs.f64 x))) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/24 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (.f64 1/720 (.f64 (pow.f64 x 2) (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (fabs.f64 x)))))))
(+.f64 (log1p.f64 (fabs.f64 x)) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -1/24 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (.f64 1/720 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))))) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 1/720 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))))) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (fma.f64 1/720 (*.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (pow.f64 x 4)) (/.f64 1/2 (+.f64 1 (fabs.f64 x))))) (log1p.f64 (fabs.f64 x)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 (fabs.f64 x))) (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (+.f64 -1/8 (.f64 (.f64 (pow.f64 x 2) 1/720) 45))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 x 2) 30) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (*.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x)))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x)))
(fma.f64 (-.f64 1 (pow.f64 x 2)) (/.f64 1/2 (pow.f64 x 2)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+.f64 (log.f64 x) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 x 2)) -1) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (/.f64 (fabs.f64 x) x))))
(fma.f64 -1 (neg.f64 (log.f64 x)) (fma.f64 1/6 (/.f64 (fma.f64 -3 (fabs.f64 x) (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))
(+.f64 (log.f64 x) (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 (fabs.f64 x) x))))
(+.f64 (log.f64 x) (+.f64 (/.f64 (fabs.f64 x) x) (fma.f64 1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (*.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (/.f64 (fma.f64 (pow.f64 x 2) -1/2 1/2) (pow.f64 x 2)))))
(+.f64 (log.f64 x) (fma.f64 1/6 (/.f64 (.f64 (fabs.f64 x) (+.f64 -3 (.f64 2 (pow.f64 x 2)))) (pow.f64 x 3)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 x 2)) -1) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) x))) x)))
(.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (+.f64 (fabs.f64 x) (.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) x))) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fma.f64 -1/2 (/.f64 (-.f64 1 (pow.f64 x 2)) x) (fabs.f64 x)) x))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 x 2) -1/2 1/2) x) (fabs.f64 x)) x) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 (fabs.f64 x) (.f64 -1 (/.f64 (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x)) (.f64 1/2 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))))) x))) x)))
(.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (+.f64 (fabs.f64 x) (neg.f64 (/.f64 (fma.f64 -1/6 (/.f64 (fma.f64 -3 (fabs.f64 x) (.f64 2 (pow.f64 (fabs.f64 x) 3))) x) (*.f64 1/2 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))))) x))) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 1/2 (-.f64 1 (pow.f64 x 2)) (.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (.f64 (fabs.f64 x) -3)) x))) x)) x))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 -1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (*.f64 2 (pow.f64 (fabs.f64 x) 3))) x) (fma.f64 (pow.f64 x 2) -1/2 1/2)) x)) x))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 -1/6 (/.f64 (.f64 (fabs.f64 x) (+.f64 -3 (.f64 2 (pow.f64 x 2)))) x) (fma.f64 (pow.f64 x 2) -1/2 1/2)) x) (fabs.f64 x)) x) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 0)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log1p.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(+.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (/.f64 1 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) -1)))
(neg.f64 (log.f64 (+.f64 (hypot.f64 1 x) (/.f64 x -1))))
(-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log1p.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (fma.f64 x x 1) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log1p.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (neg.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))))
(-.f64 (log.f64 (-.f64 (neg.f64 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 x 3))) (log.f64 (+.f64 -1 (neg.f64 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 (-.f64 (fma.f64 x x 1) (pow.f64 x 2))) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 1 x)))))
(neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (E.f64)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 3) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 8)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (E.f64) (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 1 (*.f64 x (+.f64 (-.f64 x (hypot.f64 1 x)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (fma.f64 x x 1)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 1 x)) -1)))
(neg.f64 (log.f64 (+.f64 (hypot.f64 1 x) (/.f64 x -1))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1/3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))

eval56.0ms (0.8%)

Compiler: Compiled 2460 to 1716 computations (30.2% saved)

prune305.0ms (4.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	99	13	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	13	113

Accuracy

100.0%

Counts

113 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	55.4%	(copysign.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 (fabs.f64 x))) (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (+.f64 -1/8 (.f64 (.f64 (pow.f64 x 2) 1/720) 45))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 x 2) 30) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
	56.1%	(copysign.f64 (fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
	28.7%	(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
	29.1%	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
▶	56.4%	(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
▶	29.1%	(copysign.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
	15.1%	(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
	8.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
	28.4%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
▶	67.3%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	29.1%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	18.6%	(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
▶	8.5%	(copysign.f64 (log.f64 x) x)

Compiler

Compiled 418 to 308 computations (26.3% saved)

localize957.0ms (13%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 x 2)
✓	89.4%	(/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))
✓	100.0%	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
✓	75.5%	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
✓	75.6%	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 152 to 89 computations (41.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 709.0ms

Operation ival-mult, time spent: 267.0ms, 38.0% of total-time

Operation composed, time spent: 155.0ms, 22.0% of total-time

Operation ival-log, time spent: 108.0ms, 15.0% of total-time

Operation ival-add, time spent: 70.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 40.0ms, 6.0% of total-time

Operation ival-pow, time spent: 27.0ms, 4.0% of total-time

Operation ival-copysign, time spent: 20.0ms, 3.0% of total-time

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

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

Operation ival-fabs, time spent: 3.0ms, 0.0% of total-time

series15.0ms (0.2%)

Counts

5 → 36

Calls

Call 1

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

Outputs
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))>
#<alt (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/40 (.f64 -5/112 (pow.f64 x 2)))) 1/6))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))>
#<alt (*.f64 1/2 x)>
#<alt (.f64 x (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/80 (pow.f64 x 2)) 1/12))))>
#<alt (.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/80 (.f64 -5/224 (pow.f64 x 2)))) 1/12))))>
#<alt (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))) (/.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 2))))>
#<alt (-.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 4))))))>
#<alt (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>
#<alt (-.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2)))))>
#<alt (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/16 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/32 (/.f64 1 (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 3))))>
#<alt (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (/.f64 -1/32 (.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (/.f64 1/256 (.f64 x (pow.f64 (sqrt.f64 1/2) 4))))) (pow.f64 x 3))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 x))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/16 x))))))>
#<alt (*.f64 (sqrt.f64 x) (sqrt.f64 2))>
#<alt (.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))))>
#<alt (.f64 x (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (/.f64 1 (sqrt.f64 2)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2)))))>
#<alt (.f64 x (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (/.f64 1 (sqrt.f64 2)))) (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))))))>
#<alt (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))>
#<alt (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/512 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))>

Calls

15 calls:

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

rewrite201.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`prod-diff`
1004×	`log1p-expm1-u`
1004×	`expm1-log1p-u`
126×	`associate-r`
102×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	236	108
2	3138	108

Stop Event

1×	node limit

Counts

5 → 129

Calls

Call 1

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

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

simplify100.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1314×	`times-frac`
746×	`distribute-lft-in`
666×	`distribute-rgt-in`
560×	`fma-neg`
478×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	469	6577
1	1031	6100
2	3478	5758

Stop Event

1×	node limit

Counts

165 → 261

Calls

Call 1

Inputs
x
(.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/40 (.f64 -5/112 (pow.f64 x 2)))) 1/6))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(*.f64 1/2 x)
(.f64 x (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))
(.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/80 (pow.f64 x 2)) 1/12))))
(.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/80 (.f64 -5/224 (pow.f64 x 2)))) 1/12))))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))))
(-.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))) (/.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 2))))
(-.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 2)))) (.f64 1/16 (/.f64 1 (*.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 4))))))
(log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(-.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 1/2) 2)))))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/16 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (.f64 1/32 (/.f64 1 (.f64 x (pow.f64 (sqrt.f64 1/2) 2))))) (pow.f64 x 3))))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (+.f64 (/.f64 -1/32 (.f64 x (pow.f64 (sqrt.f64 1/2) 2))) (/.f64 1/256 (.f64 x (pow.f64 (sqrt.f64 1/2) 4))))) (pow.f64 x 3))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 -1/16 x))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 2))
(.f64 x (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))))
(.f64 x (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (/.f64 1 (sqrt.f64 2)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2)))))
(.f64 x (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (/.f64 1 (sqrt.f64 2)))) (+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (/.f64 1 (pow.f64 (sqrt.f64 2) 3)))) (+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 1 (sqrt.f64 2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/512 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 1/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (sqrt.f64 -1) (sqrt.f64 1/2)))))) (pow.f64 x 3))) (.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 1/2))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))) 1)
(*.f64 x (/.f64 x (+.f64 x 1)))
(.f64 x (.f64 x (/.f64 1 (+.f64 x 1))))
(*.f64 1 (/.f64 (pow.f64 x 2) (+.f64 x 1)))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 x 2))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (pow.f64 x 2) x)))
(*.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3) 1/3)
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (pow.f64 x 2)) -1)
(neg.f64 (/.f64 (pow.f64 x 2) (+.f64 (neg.f64 x) -1)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x 1)))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(exp.f64 (.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(-.f64 (+.f64 1 (pow.f64 x 2)) 1)
(*.f64 x x)
(*.f64 1 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x 4))
(fabs.f64 (pow.f64 x 2))
(fabs.f64 (neg.f64 (pow.f64 x 2)))
(log.f64 (exp.f64 (pow.f64 x 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(exp.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1))

Outputs
x
(.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 3/40 (pow.f64 x 2) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) 3/40 -1/6) (pow.f64 x 3)))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/40 (.f64 -5/112 (pow.f64 x 2)))) 1/6))))
(.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 3/40 (*.f64 (pow.f64 x 2) -5/112)) -1/6))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -5/112 3/40) -1/6) (pow.f64 x 3)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 x) (/.f64 -3/32 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (+.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 5/96 (pow.f64 x 6))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 x) (/.f64 5/96 (pow.f64 x 6)))) (+.f64 (log.f64 2) (/.f64 -3/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (/.f64 3/32 (pow.f64 x 4)) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (/.f64 3/32 (pow.f64 x 4)))) (-.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 -5/96 (pow.f64 x 6)))))
(*.f64 1/2 x)
(*.f64 x 1/2)
(.f64 x (+.f64 1/2 (.f64 -1/12 (pow.f64 x 2))))
(.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) -1/12)))
(fma.f64 x 1/2 (*.f64 -1/12 (pow.f64 x 3)))
(.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/80 (pow.f64 x 2)) 1/12))))
(.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (fma.f64 3/80 (pow.f64 x 2) -1/12))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 3/80 -1/12) 1/2))
(.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/80 (.f64 -5/224 (pow.f64 x 2)))) 1/12))))
(.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 3/80 (*.f64 (pow.f64 x 2) -5/224)) -1/12))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -5/224 3/80) -1/12) 1/2))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))))
(+.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (/.f64 1/8 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2))))) (/.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1/4 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 2)))) (/.f64 (/.f64 1/16 (pow.f64 x 4)) (pow.f64 (sqrt.f64 2) 2))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (log.f64 x) (-.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 1/32 (pow.f64 x 4)))))
(+.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 2))) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 x) (/.f64 -1/32 (pow.f64 x 4)))))
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(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x 1))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))) 1)
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(*.f64 x (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(.f64 x (.f64 x (/.f64 1 (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 1 (/.f64 (pow.f64 x 2) (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (pow.f64 x 2) (/.f64 1 (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x 1)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (+.f64 x 1))))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x 1)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 2))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 2) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(*.f64 (neg.f64 (pow.f64 x 2)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 1 (+.f64 x 1)) (pow.f64 x 2))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 x 1) (/.f64 x (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (pow.f64 x 2) (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 x 1)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))
(*.f64 (/.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (pow.f64 x 2) x)))
(*.f64 (pow.f64 x 2) (/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (pow.f64 x 2) (-.f64 1 (pow.f64 x 2))) (-.f64 1 x))
(*.f64 (pow.f64 x 2) (/.f64 (-.f64 1 x) (-.f64 1 (pow.f64 x 2))))
(pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))) 3)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3) 1/3)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(pow.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) 2)
(pow.f64 (/.f64 (+.f64 x 1) (pow.f64 x 2)) -1)
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(neg.f64 (/.f64 (pow.f64 x 2) (+.f64 (neg.f64 x) -1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(neg.f64 (/.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x 1)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(sqrt.f64 (/.f64 (pow.f64 x 4) (pow.f64 (+.f64 x 1) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1)) 3))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x 2) 3) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x 2) (+.f64 x 1))))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(exp.f64 (-.f64 (*.f64 2 (log.f64 x)) (log1p.f64 x)))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(exp.f64 (.f64 (-.f64 (.f64 2 (log.f64 x)) (log1p.f64 x)) 1))
(/.f64 (pow.f64 x 2) (+.f64 x 1))
(-.f64 (+.f64 1 (pow.f64 x 2)) 1)
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(*.f64 1 (pow.f64 x 2))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(*.f64 (pow.f64 x 2) 1)
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(*.f64 (neg.f64 x) (neg.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(sqrt.f64 (pow.f64 x 4))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(fabs.f64 (pow.f64 x 2))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(fabs.f64 (neg.f64 (pow.f64 x 2)))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(log.f64 (exp.f64 (pow.f64 x 2)))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x 2))))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(cbrt.f64 (pow.f64 (pow.f64 x 2) 3))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(expm1.f64 (log1p.f64 (pow.f64 x 2)))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(log1p.f64 (expm1.f64 (pow.f64 x 2)))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(exp.f64 (*.f64 2 (log.f64 x)))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1))
(+.f64 1 (-.f64 (pow.f64 x 2) 1))
(+.f64 (pow.f64 x 2) 0)
(pow.f64 x 2)

eval121.0ms (1.6%)

Compiler: Compiled 5406 to 4110 computations (24% saved)

prune45.0ms (0.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	257	4	261
Fresh	4	4	8
Picked	2	3	5
Done	0	0	0
Total	263	11	274

Accuracy

100.0%

Counts

274 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.7%	(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
▶	24.3%	(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
	56.0%	(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
▶	56.1%	(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x)
	15.1%	(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
▶	8.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
	28.4%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	67.3%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	29.1%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	8.5%	(copysign.f64 (log.f64 x) x)
▶	56.3%	(copysign.f64 x x)

Compiler

Compiled 186 to 135 computations (27.4% saved)

localize478.0ms (6.5%)

Compiler: Compiled 165 to 121 computations (26.7% saved)
Precisions: Click to see histograms. Total time spent on operations: 325.0ms
Operation ival-pow, time spent: 66.0ms, 20.0% of total-time
Operation composed, time spent: 58.0ms, 18.0% of total-time
Operation ival-log, time spent: 57.0ms, 18.0% of total-time
Operation ival-mult, time spent: 53.0ms, 16.0% of total-time
Operation ival-add, time spent: 24.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 15.0ms, 5.0% of total-time
Operation ival-cbrt, time spent: 13.0ms, 4.0% of total-time
Operation ival-copysign, time spent: 12.0ms, 4.0% of total-time
Operation ival-div, time spent: 9.0ms, 3.0% of total-time
Operation ival-sub, time spent: 8.0ms, 2.0% of total-time
Operation const, time spent: 7.0ms, 2.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

eval0.0ms (0%)

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

prune5.0ms (0.1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	5	5
Done	3	3
Total	11	11

Accuracy

100.0%

Counts

11 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.7%	(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
✓	24.3%	(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
▶	56.0%	(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
✓	56.1%	(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x)
▶	15.1%	(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
✓	8.5%	(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
▶	28.4%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	67.3%	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
✓	29.1%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	8.5%	(copysign.f64 (log.f64 x) x)
✓	56.3%	(copysign.f64 x x)

Compiler

Compiled 103 to 74 computations (28.2% saved)

localize1.4s (18.5%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 -1/6 (pow.f64 x 3))
✓	99.9%	(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
✓	99.4%	(*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
✓	78.9%	(+.f64 x (hypot.f64 1 x))
✓	21.7%	(log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
✓	78.2%	(-.f64 (hypot.f64 1 x) x)
✓	50.7%	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 110 to 78 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation composed, time spent: 298.0ms, 26.0% of total-time

Operation ival-log, time spent: 297.0ms, 26.0% of total-time

Operation ival-mult, time spent: 160.0ms, 14.0% of total-time

Operation ival-pow, time spent: 158.0ms, 14.0% of total-time

Operation ival-add, time spent: 107.0ms, 9.0% of total-time

Operation ival-sqrt, time spent: 72.0ms, 6.0% of total-time

Operation ival-copysign, time spent: 21.0ms, 2.0% of total-time

Operation ival-sub, time spent: 18.0ms, 2.0% of total-time

Operation const, time spent: 14.0ms, 1.0% of total-time

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

series18.0ms (0.2%)

Counts

7 → 72

Calls

Call 1

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

Outputs
#<alt (*.f64 -1 x)>
#<alt (.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 (pow.f64 x 2) (-.f64 (.f64 5/112 (pow.f64 x 2)) 3/40)))) 1))>
#<alt (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1 x))>
#<alt (+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1)))>
#<alt (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 1)))>
#<alt (/.f64 1/2 x)>
#<alt (/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x)>
#<alt (*.f64 -2 x)>
#<alt (.f64 -1 (.f64 x (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4)))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 2 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))))>
#<alt (*.f64 3 x)>
#<alt (.f64 x (+.f64 3 (.f64 -1/2 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))))>
#<alt (.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 9/40 (.f64 -15/112 (pow.f64 x 2)))) 1/2))))>
#<alt (+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 9/32 (pow.f64 x 4)))>
#<alt (-.f64 (+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/32 (/.f64 1 (pow.f64 x 6)))))) (/.f64 9/32 (pow.f64 x 4)))>
#<alt (+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x))))>
#<alt (-.f64 (+.f64 (log.f64 1/8) (.f64 3 (log.f64 (/.f64 -1 x)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 3 (log.f64 (/.f64 -1 x))) (/.f64 9/32 (pow.f64 x 4)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 3 (log.f64 (/.f64 -1 x))) (/.f64 9/32 (pow.f64 x 4)))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/32 (/.f64 1 (pow.f64 x 6)))))>
#<alt 1>
#<alt (+.f64 1 x)>
#<alt (+.f64 1 (.f64 x (+.f64 1 (.f64 1/2 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))>
#<alt (*.f64 2 x)>
#<alt (.f64 x (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))>
#<alt (.f64 x (-.f64 (+.f64 2 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))>
#<alt (/.f64 -1/2 x)>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x))>
#<alt x>
#<alt (.f64 x (+.f64 1 (.f64 -1/6 (pow.f64 x 2))))>
#<alt (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6))))>
#<alt (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 3/40 (.f64 -5/112 (pow.f64 x 2)))) 1/6))))>
#<alt (.f64 1/3 (+.f64 (log.f64 8) (.f64 -3 (log.f64 (/.f64 1 x)))))>
#<alt (+.f64 (.f64 1/3 (+.f64 (log.f64 8) (.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (.f64 1/3 (+.f64 (log.f64 8) (.f64 -3 (log.f64 (/.f64 1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (-.f64 (+.f64 (.f64 1/3 (+.f64 (log.f64 8) (.f64 -3 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6))))) (/.f64 3/32 (pow.f64 x 4)))>
#<alt (.f64 1/3 (+.f64 (log.f64 1/8) (.f64 3 (log.f64 (/.f64 -1 x)))))>
#<alt (-.f64 (.f64 1/3 (+.f64 (log.f64 1/8) (.f64 3 (log.f64 (/.f64 -1 x))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (.f64 1/3 (+.f64 (log.f64 1/8) (.f64 3 (log.f64 (/.f64 -1 x))))) (/.f64 3/32 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (.f64 1/3 (+.f64 (log.f64 1/8) (.f64 3 (log.f64 (/.f64 -1 x))))) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 3 x))>
#<alt (+.f64 1 (.f64 x (+.f64 3 (.f64 9/2 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 3 (.f64 x (+.f64 9/2 (*.f64 4 x))))))>
#<alt (*.f64 8 (pow.f64 x 3))>
#<alt (.f64 (pow.f64 x 3) (+.f64 8 (.f64 6 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 (pow.f64 x 3) (+.f64 8 (+.f64 (/.f64 1/8 (pow.f64 x 6)) (.f64 6 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 (pow.f64 x 3) (-.f64 (+.f64 8 (+.f64 (/.f64 1/8 (pow.f64 x 6)) (.f64 6 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 8)))))>
#<alt (/.f64 -1/8 (pow.f64 x 3))>
#<alt (.f64 -1 (/.f64 (-.f64 1/8 (.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 3)))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (/.f64 9/128 (pow.f64 x 4))) (.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 3)))>
#<alt (.f64 -1 (/.f64 (-.f64 (+.f64 1/8 (/.f64 9/128 (pow.f64 x 4))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 2))) (*.f64 7/128 (/.f64 1 (pow.f64 x 6))))) (pow.f64 x 3)))>

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log (pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3))
1.0ms	x	@	inf	(log (pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3))
1.0ms	x	@	-inf	(log (pow (+ x (sqrt (+ (* 1 1) (* x x)))) 3))
1.0ms	x	@	0	(log (- (sqrt (+ (* 1 1) (* x x))) x))
1.0ms	x	@	0	(* -1/6 (pow x 3))

rewrite141.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`prod-diff`
1034×	`log1p-expm1-u`
1034×	`expm1-log1p-u`
172×	`associate-r`
112×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	166
1	237	154
2	3009	154

Stop Event

1×	node limit

Counts

7 → 198

Calls

Call 1

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

Outputs
(+.f64 0 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (log.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(log1p.f64 (-.f64 (-.f64 (hypot.f64 1 x) x) 1))
(exp.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 1))
(+.f64 (hypot.f64 1 x) (neg.f64 x))
(+.f64 (hypot.f64 1 x) (*.f64 (neg.f64 x) 1))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 -1 x x))
(+.f64 (-.f64 (hypot.f64 1 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (neg.f64 x) (hypot.f64 1 x))
(+.f64 (fma.f64 (hypot.f64 1 x) 1 (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 (hypot.f64 1 x) 1 (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (hypot.f64 1 x) 1 (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (hypot.f64 1 x) 1 (neg.f64 x)) (fma.f64 -1 x x))
(+.f64 (fma.f64 (hypot.f64 1 x) 1 (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (neg.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (neg.f64 x)) (fma.f64 -1 x x))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 1 x)) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))
(*.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 (-.f64 (hypot.f64 1 x) x) 1)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 2) (cbrt.f64 (-.f64 (hypot.f64 1 x) x)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) (sqrt.f64 (-.f64 (hypot.f64 1 x) x)))
(.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x 2)) (.f64 x (+.f64 x (hypot.f64 1 x))))))
(*.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (/.f64 1 (+.f64 x (hypot.f64 1 x))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x)))
(.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(*.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))) (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 x (hypot.f64 1 x)) (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (+.f64 x (hypot.f64 1 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 x (+.f64 x (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2))) (neg.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (hypot.f64 1 x) (neg.f64 x)))))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (hypot.f64 1 x) (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) 1) (+.f64 x (hypot.f64 1 x)))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (-.f64 (hypot.f64 1 x) x) 1)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 1 x) x)) 3)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 1 x) x)) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (hypot.f64 1 x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) 2)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))) (sqrt.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 2))
(log.f64 (exp.f64 (-.f64 (hypot.f64 1 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (hypot.f64 1 x) x))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 1 x) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 1 x) x)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 1 x) x)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 1 x) x)))
(fma.f64 1 (hypot.f64 1 x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) (neg.f64 x))
(+.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 0 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(.f64 1 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3)
(.f64 (cbrt.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) (pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2) (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(sqrt.f64 (*.f64 9 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (pow.f64 x 2)) (-.f64 (pow.f64 x 2) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (+.f64 1 (pow.f64 x 2)) (pow.f64 x 2)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(+.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
(+.f64 (.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 (.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3))
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-neg`
820×	`distribute-lft-neg-out`
570×	`sub-neg`
524×	`fma-define`
504×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	622	10021
1	1490	9021
2	5141	8827

Stop Event

1×	node limit

Counts

270 → 447

Calls

Call 1

Inputs
(*.f64 -1 x)
(.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))
(.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 (pow.f64 x 2) (-.f64 (.f64 5/112 (pow.f64 x 2)) 3/40)))) 1))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 1)))
(/.f64 1/2 x)
(/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x)
(*.f64 -2 x)
(.f64 -1 (.f64 x (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4)))))
(.f64 -1 (.f64 x (-.f64 (+.f64 2 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 3 x)
(.f64 x (+.f64 3 (.f64 -1/2 (pow.f64 x 2))))
(.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))))
(.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 9/40 (.f64 -15/112 (pow.f64 x 2)))) 1/2))))
(+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 9/32 (pow.f64 x 4)))
(-.f64 (+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/32 (/.f64 1 (pow.f64 x 6)))))) (/.f64 9/32 (pow.f64 x 4)))
(+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 1/8) (.f64 3 (log.f64 (/.f64 -1 x)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 3 (log.f64 (/.f64 -1 x))) (/.f64 9/32 (pow.f64 x 4)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 3 (log.f64 (/.f64 -1 x))) (/.f64 9/32 (pow.f64 x 4)))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/32 (/.f64 1 (pow.f64 x 6)))))
1
(+.f64 1 x)
(+.f64 1 (.f64 x (+.f64 1 (.f64 1/2 x))))
(+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))
(*.f64 2 x)
(.f64 x (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4))))
(.f64 x (-.f64 (+.f64 2 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4))))
(/.f64 -1/2 x)
(.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(+.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(+.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
(+.f64 (.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(+.f64 (.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) 1)
(*.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(*.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 3) (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3))
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 x (hypot.f64 1 x)))
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(*.f64 x (fma.f64 1/6 (pow.f64 x 2) -1))
(.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (*.f64 -3/40 (pow.f64 x 2)))) 1))
(.f64 x (fma.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 (pow.f64 x 2) -3/40)) -1))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -3/40 1/6) -1))
(.f64 x (-.f64 (.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 (pow.f64 x 2) (-.f64 (.f64 5/112 (pow.f64 x 2)) 3/40)))) 1))
(.f64 x (fma.f64 (pow.f64 x 2) (+.f64 1/6 (.f64 (pow.f64 x 2) (fma.f64 5/112 (pow.f64 x 2) -3/40))) -1))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 5/112 -3/40) 1/6) -1))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 1/2) (log.f64 x))
(-.f64 (+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (neg.f64 (log.f64 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (/.f64 3/32 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (/.f64 3/32 (pow.f64 x 4)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 1/2) (-.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (-.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 1/2) (log.f64 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (-.f64 (/.f64 -1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (/.f64 1/4 (pow.f64 x 2))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))) (/.f64 -3/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (/.f64 3/32 (pow.f64 x 4)))
(+.f64 (log.f64 2) (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (-.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (/.f64 -3/32 (pow.f64 x 4)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (.f64 x (-.f64 (.f64 1/2 x) 1)))
(+.f64 1 (*.f64 x (fma.f64 1/2 x -1)))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))) 1)))
(+.f64 1 (.f64 x (fma.f64 x (+.f64 1/2 (.f64 (pow.f64 x 2) -1/8)) -1)))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x 2) -1/8 1/2) -1) 1)
(/.f64 1/2 x)
(/.f64 (-.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (-.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x)
(-.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 x 2))) x)
(-.f64 (/.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) x) (/.f64 1/8 (pow.f64 x 3)))
(/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (.f64 5/128 (/.f64 1 (pow.f64 x 6))))) x)
(/.f64 (+.f64 1/2 (-.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (/.f64 1/8 (pow.f64 x 2)) (/.f64 5/128 (pow.f64 x 6))))) x)
(-.f64 (/.f64 (-.f64 (+.f64 1/2 (/.f64 1/16 (pow.f64 x 4))) (/.f64 5/128 (pow.f64 x 6))) x) (/.f64 1/8 (pow.f64 x 3)))
(*.f64 -2 x)
(*.f64 x -2)
(.f64 -1 (.f64 x (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (+.f64 2 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (neg.f64 (+.f64 2 (/.f64 1/2 (pow.f64 x 2)))))
(.f64 -1 (.f64 x (-.f64 (+.f64 2 (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 (neg.f64 x) (+.f64 2 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 (+.f64 2 (-.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/8 (pow.f64 x 4)))) (neg.f64 x))
(*.f64 (+.f64 (+.f64 2 (/.f64 1/2 (pow.f64 x 2))) (/.f64 -1/8 (pow.f64 x 4))) (neg.f64 x))
(.f64 -1 (.f64 x (-.f64 (+.f64 2 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 (neg.f64 x) (+.f64 2 (-.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 6))) (/.f64 1/8 (pow.f64 x 4)))))
(*.f64 x (neg.f64 (+.f64 2 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (-.f64 (/.f64 1/16 (pow.f64 x 6)) (/.f64 1/8 (pow.f64 x 4)))))))
(*.f64 x (neg.f64 (+.f64 2 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 x 2)) (/.f64 1/16 (pow.f64 x 6))) (/.f64 -1/8 (pow.f64 x 4))))))
(*.f64 3 x)
(*.f64 x 3)
(.f64 x (+.f64 3 (.f64 -1/2 (pow.f64 x 2))))
(.f64 x (+.f64 3 (.f64 (pow.f64 x 2) -1/2)))
(*.f64 x (fma.f64 (pow.f64 x 2) -1/2 3))
(.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2))))
(.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (fma.f64 9/40 (pow.f64 x 2) -1/2))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 9/40 -1/2) 3))
(.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 9/40 (.f64 -15/112 (pow.f64 x 2)))) 1/2))))
(.f64 x (+.f64 3 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 9/40 (*.f64 (pow.f64 x 2) -15/112)) -1/2))))
(*.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -15/112 9/40) -1/2) 3))
(+.f64 (log.f64 8) (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 8) (*.f64 (neg.f64 (log.f64 x)) -3))
(fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 8))
(-.f64 (log.f64 8) (*.f64 (log.f64 x) -3))
(+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 8) (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 3/4 (pow.f64 x 2))))
(+.f64 (log.f64 8) (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (pow.f64 x 2))))
(+.f64 (log.f64 8) (-.f64 (/.f64 3/4 (pow.f64 x 2)) (*.f64 (log.f64 x) -3)))
(-.f64 (+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))) (/.f64 9/32 (pow.f64 x 4)))
(+.f64 (log.f64 8) (-.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 3/4 (pow.f64 x 2))) (/.f64 9/32 (pow.f64 x 4))))
(+.f64 (log.f64 8) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (/.f64 3/4 (pow.f64 x 2))) (/.f64 -9/32 (pow.f64 x 4))))
(+.f64 (log.f64 8) (+.f64 (-.f64 (/.f64 3/4 (pow.f64 x 2)) (*.f64 (log.f64 x) -3)) (/.f64 -9/32 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 8) (+.f64 (.f64 -3 (log.f64 (/.f64 1 x))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/32 (/.f64 1 (pow.f64 x 6)))))) (/.f64 9/32 (pow.f64 x 4)))
(+.f64 (log.f64 8) (-.f64 (+.f64 (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 3/4 (pow.f64 x 2))) (/.f64 5/32 (pow.f64 x 6))) (/.f64 9/32 (pow.f64 x 4))))
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) -3 (log.f64 8)) (+.f64 (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 5/32 (pow.f64 x 6))) (/.f64 -9/32 (pow.f64 x 4))))
(+.f64 (+.f64 (-.f64 (/.f64 3/4 (pow.f64 x 2)) (*.f64 (log.f64 x) -3)) (/.f64 5/32 (pow.f64 x 6))) (-.f64 (log.f64 8) (/.f64 9/32 (pow.f64 x 4))))
(+.f64 (log.f64 1/8) (*.f64 3 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 1/8) (*.f64 (log.f64 (/.f64 -1 x)) 3))
(fma.f64 (log.f64 (/.f64 -1 x)) 3 (log.f64 1/8))
(-.f64 (+.f64 (log.f64 1/8) (.f64 3 (log.f64 (/.f64 -1 x)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/8) (-.f64 (*.f64 (log.f64 (/.f64 -1 x)) 3) (/.f64 3/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/8) (fma.f64 (log.f64 (/.f64 -1 x)) 3 (/.f64 -3/4 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 3 (log.f64 (/.f64 -1 x))) (/.f64 9/32 (pow.f64 x 4)))) (.f64 3/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 1/8) (-.f64 (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 9/32 (pow.f64 x 4))) (/.f64 3/4 (pow.f64 x 2))))
(+.f64 (log.f64 1/8) (+.f64 (/.f64 9/32 (pow.f64 x 4)) (fma.f64 (log.f64 (/.f64 -1 x)) 3 (/.f64 -3/4 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/8) (+.f64 (.f64 3 (log.f64 (/.f64 -1 x))) (/.f64 9/32 (pow.f64 x 4)))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/32 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 1/8) (-.f64 (fma.f64 3 (log.f64 (/.f64 -1 x)) (/.f64 9/32 (pow.f64 x 4))) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 5/32 (pow.f64 x 6)))))
(+.f64 (fma.f64 (log.f64 (/.f64 -1 x)) 3 (log.f64 1/8)) (-.f64 (/.f64 9/32 (pow.f64 x 4)) (+.f64 (/.f64 3/4 (pow.f64 x 2)) (/.f64 5/32 (pow.f64 x 6)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (.f64 x (+.f64 1 (.f64 1/2 x))))
(+.f64 1 (.f64 x (+.f64 1 (.f64 x 1/2))))
(fma.f64 x (fma.f64 x 1/2 1) 1)
(+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 -1/8 (pow.f64 x 2)))))))
(+.f64 1 (.f64 x (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 (pow.f64 x 2) -1/8))))))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x 2) -1/8 1/2) 1) 1)
(*.f64 2 x)
(*.f64 x 2)
(.f64 x (+.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (+.f64 x (hypot.f64 1 x)) 0)
(+.f64 x (hypot.f64 1 x))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (+.f64 1 (fma.f64 x x (*.f64 x (-.f64 x (hypot.f64 1 x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log1p.f64 (fma.f64 x x (*.f64 x (-.f64 x (hypot.f64 1 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (-.f64 (+.f64 x (hypot.f64 1 x)) 1)))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(+.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (hypot.f64 1 x)) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) x))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(+.f64 (.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(+.f64 (.f64 (hypot.f64 1 x) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (.f64 x (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(*.f64 1 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (+.f64 x (hypot.f64 1 x)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1)
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 3) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3) (pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 3))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1) (+.f64 x (hypot.f64 1 x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (pow.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) 3))
(/.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) 3) (pow.f64 (+.f64 1 (fma.f64 x x (*.f64 x (-.f64 x (hypot.f64 1 x))))) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (pow.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) 3) (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 -1 (pow.f64 (-.f64 x (hypot.f64 1 x)) 3))
(/.f64 (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 1 (fma.f64 x x (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2)))) (-.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
(neg.f64 (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (+.f64 1 (fma.f64 x x (.f64 x (-.f64 x (hypot.f64 1 x)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 2) (+.f64 1 (pow.f64 x 2))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 2)) (-.f64 x (hypot.f64 1 x)))
(*.f64 (-.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 2) 1)) (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
(*.f64 -1 (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
(neg.f64 (/.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) (-.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 6))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 3))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/6)) 2)
(*.f64 -1/6 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/36))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 6)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) -1/6))
(*.f64 -1/6 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 -1/6 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3))
(*.f64 -1/6 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (pow.f64 x 3))) 1))
(*.f64 -1/6 (pow.f64 x 3))

eval199.0ms (2.7%)

Compiler: Compiled 8297 to 6359 computations (23.4% saved)

prune83.0ms (1.1%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	443	4	447
Fresh	0	0	0
Picked	0	3	3
Done	4	4	8
Total	447	11	458

Accuracy

100.0%

Counts

458 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.0%	(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
✓	56.1%	(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x)
	56.1%	(copysign.f64 (.f64 1/3 (.f64 x 3)) x)
	22.2%	(copysign.f64 (.f64 1/3 (.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)))) x)
✓	15.1%	(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
	24.4%	(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
✓	28.4%	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
	23.8%	(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
✓	29.1%	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	8.5%	(copysign.f64 (log.f64 x) x)
✓	56.3%	(copysign.f64 x x)

Compiler

Compiled 397 to 276 computations (30.5% saved)

regimes46.0ms (0.6%)

Counts

23 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 x 3)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)
(copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x)
(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 1 (fabs.f64 x))) x)
(copysign.f64 (+.f64 (log.f64 2) (log.f64 x)) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
(copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)
(copysign.f64 (*.f64 2 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)
(copysign.f64 (*.f64 1/3 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))) x)
(copysign.f64 (.f64 1/3 (.f64 2 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2)))) x)
(copysign.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3) x)
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x))))) x)
(copysign.f64 (fma.f64 (pow.f64 x 2) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (/.f64 -1/8 (+.f64 1 (fabs.f64 x))) (/.f64 -1/8 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)
(copysign.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 (.f64 (+.f64 (/.f64 1 (+.f64 1 (fabs.f64 x))) (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (+.f64 -1/8 (.f64 (.f64 (pow.f64 x 2) 1/720) 45))) (.f64 1/720 (/.f64 (*.f64 (pow.f64 x 2) 30) (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (/.f64 1/2 (+.f64 1 (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x)

Outputs

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

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

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

Calls

2 calls:

31.0ms	x
14.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes74.0ms (1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

73.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes20.0ms (0.3%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes88.0ms (1.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

87.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes19.0ms (0.3%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 x 3)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 x 3)) x)
(copysign.f64 (log.f64 x) x)
(copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x)
(copysign.f64 (neg.f64 (log.f64 (/.f64 -1 x))) x)

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
83.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 x 3)) x)
(copysign.f64 (log.f64 x) x)

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
62.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (.f64 1/3 (.f64 x 3)) x)

Outputs
(copysign.f64 x x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
56.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.251812662638048e-6	0.02283917286763423
0.0ms	-0.06827008635766492	-0.0008700405186004448

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch46.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.2518126626388256e-6	0.022841158510737106
23.0ms	-0.0008700406283662645	-2.7008722749961364e-6

Results

40.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 393 to 292 computations (25.7% saved)

Precisions

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

Operation ival-copysign, time spent: 4.0ms, 20.0% of total-time

Operation ival-log, time spent: 4.0ms, 20.0% of total-time

Operation ival-fabs, time spent: 4.0ms, 20.0% of total-time

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

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

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

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

bsearch45.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.2518126626388256e-6	0.022841158510737106
22.0ms	-0.0008700406283662645	-2.7008722749961364e-6

Results

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

Compiler

Compiled 361 to 260 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

Operation ival-log, time spent: 4.0ms, 26.0% of total-time

Operation ival-add, time spent: 3.0ms, 19.0% of total-time

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

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

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

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

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

bsearch51.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	4.2518126626388256e-6	0.022841158510737106
27.0ms	-34349375038.61533	-0.06832313097414772

Results

44.0ms	287×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 385 to 282 computations (26.8% saved)

Precisions

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

Operation ival-log, time spent: 5.0ms, 28.0% of total-time

Operation ival-copysign, time spent: 3.0ms, 17.0% of total-time

Operation ival-add, time spent: 3.0ms, 17.0% of total-time

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

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

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

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

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.022841158510737106	41837641.77270151
28.0ms	-34349375038.61533	-0.06832313097414772

Results

46.0ms	303×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 397 to 297 computations (25.2% saved)

Precisions

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

Operation ival-copysign, time spent: 5.0ms, 24.0% of total-time

Operation ival-log, time spent: 5.0ms, 24.0% of total-time

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

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

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

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

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

bsearch52.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.022841158510737106	41837641.77270151
27.0ms	-34349375038.61533	-0.06832313097414772

Results

44.0ms	303×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 283 to 202 computations (28.6% saved)

Precisions

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

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

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

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

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

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

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

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

bsearch51.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.022841158510737106	41837641.77270151
27.0ms	-34349375038.61533	-0.06832313097414772

Results

44.0ms	303×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 256 to 175 computations (31.6% saved)

Precisions

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

Operation ival-log, time spent: 5.0ms, 24.0% of total-time

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

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

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

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

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

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

bsearch26.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	0.022841158510737106	41837641.77270151

Results

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

Compiler

Compiled 116 to 75 computations (35.3% saved)

Precisions

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

Operation ival-log, time spent: 5.0ms, 43.0% of total-time

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

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

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

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

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

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

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

34×	`neg-mul-1`
32×	`unsub-neg`
32×	`+-commutative`
22×	`*-commutative`
18×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	975
1	115	975
2	130	975
3	142	975
4	167	975
5	204	975
6	207	975

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -3602879701896397/72057594037927936) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/1180591620717411303424) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -956924848823683/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -956924848823683/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1936908127739503/2305843009213693952) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (.f64 x -2))) x) (if (<=.f64 x 1936908127739503/2305843009213693952) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (.f64 x -2))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 3602879701896397/1125899906842624) (copysign.f64 x x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x 3602879701896397/1125899906842624) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -3602879701896397/72057594037927936) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/1180591620717411303424) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 3/40 (pow.f64 x 2)) 1/6)))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -3602879701896397/72057594037927936) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/1180591620717411303424) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) 3/40) 1/6)))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -3602879701896397/72057594037927936) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5902958103587057/1180591620717411303424) (copysign.f64 (.f64 x (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) 3/40) 1/6)))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -956924848823683/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -956924848823683/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 8116567392432203/9223372036854775808) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -956924848823683/1152921504606846976) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 1936908127739503/2305843009213693952) (copysign.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (.f64 x -2))) x) (if (<=.f64 x 1936908127739503/2305843009213693952) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (.f64 x -2))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 5/4) (copysign.f64 x x) (copysign.f64 (neg.f64 (log.f64 (/.f64 1/2 x))) x)))
(if (<=.f64 x -5/4) (copysign.f64 (neg.f64 (log.f64 (*.f64 x -2))) x) (if (<=.f64 x 3602879701896397/1125899906842624) (copysign.f64 x x) (copysign.f64 (log.f64 x) x)))
(if (<=.f64 x 3602879701896397/1125899906842624) (copysign.f64 x x) (copysign.f64 (log.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 273 to 189 computations (30.8% saved)

soundness732.0ms (9.9%)

Rules

1314×	`times-frac`
1238×	`associate-+r+`
1174×	`fma-define`
1002×	`prod-diff`
970×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	469	6577
1	1031	6100
2	3478	5758
0	622	10021
1	1490	9021
2	5141	8827
0	228	3103
1	527	2973
2	1525	2757
3	5355	2698
0	11	27
1	120	23
2	1555	23
0	18	81
1	32	72
2	37	72
3	41	72
4	49	72
5	56	72
6	68	72
7	81	72
8	94	72
9	106	72
10	149	72
11	207	72
12	226	72
13	246	72
14	254	72
15	258	72

Stop Event

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

Compiler

Compiled 739 to 500 computations (32.3% saved)

end0.0ms (0%)

preprocess180.0ms (2.4%)

Compiler: Compiled 598 to 396 computations (33.8% saved)

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

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

analyze0.0ms (0%)

sample672.0ms (9.1%)

preprocess439.0ms (5.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize193.0ms (2.6%)

series4.0ms (0.1%)

rewrite177.0ms (2.4%)

simplify87.0ms (1.2%)

eval56.0ms (0.8%)

prune305.0ms (4.1%)

localize957.0ms (13%)

series15.0ms (0.2%)

rewrite201.0ms (2.7%)

simplify100.0ms (1.4%)

eval121.0ms (1.6%)

prune45.0ms (0.6%)

localize478.0ms (6.5%)

eval0.0ms (0%)

prune5.0ms (0.1%)

localize1.4s (18.5%)

series18.0ms (0.2%)

rewrite141.0ms (1.9%)

simplify158.0ms (2.1%)

eval199.0ms (2.7%)

prune83.0ms (1.1%)

regimes46.0ms (0.6%)

regimes74.0ms (1%)

regimes20.0ms (0.3%)

regimes88.0ms (1.2%)

regimes19.0ms (0.3%)

regimes14.0ms (0.2%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch46.0ms (0.6%)

bsearch45.0ms (0.6%)

bsearch51.0ms (0.7%)

bsearch53.0ms (0.7%)

bsearch52.0ms (0.7%)

bsearch51.0ms (0.7%)

bsearch26.0ms (0.3%)

simplify42.0ms (0.6%)

soundness732.0ms (9.9%)

end0.0ms (0%)

preprocess180.0ms (2.4%)

Profiling

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