Metrics for Rust f64::atanh

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0.2%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample497.0ms (45.4%)

Memory

13.7MiB live, 618.5MiB allocated; 176ms collecting garbage

Samples

315.0ms	8 256×	0	valid
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-atanh: 115.0ms (98.6% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

explain80.0ms (7.3%)

Memory

-27.4MiB live, 168.8MiB allocated; 21ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
-	-	`(*.f64 #s(literal 2 binary64) x)`
-	-	`#s(literal 2 binary64)`
-	-	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
-	-	`#s(literal 1/2 binary64)`
-	-	`x`
-	-	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

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

ival-mult!: 11.0ms (55.9% of total)

ival-log1p: 4.0ms (20.3% of total)

ival-div!: 3.0ms (15.3% of total)

ival-sub!: 2.0ms (10.2% of total)

adjust: 0.0ms (0% of total)

preprocess6.0ms (0.5%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 20 to 18 computations (10% saved)

series5.0ms (0.5%)

Memory

12.4MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

9 → 34

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)
2.0ms	x	@	0	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)
1.0ms	x	@	-inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)

Time

Variable

Point

Expression

2.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)

2.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)

1.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))) (/ (* 2 x) (- 1 x)) (* 2 x) 2 x (- 1 x) 1)

rewrite270.0ms (24.7%)

Memory

-89.0MiB live, 270.6MiB allocated; 148ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	679
0	163	644
1	981	629
0	8467	607

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

43 → 82

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
#s(literal 1/2 binary64)
(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* 2 x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* 2 x)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* 2 x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (log -1)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 -2))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))

Outputs
(.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(log.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
#s(literal 1/2 binary64)
(log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (log1p.f64 (.f64 #s(literal -2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (log1p.f64 (.f64 #s(literal 8 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (log1p.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(log.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (.f64 #s(literal 4 binary64) x) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(+.f64 x x)
#s(literal 2 binary64)
x
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(neg.f64 (+.f64 x #s(literal -1 binary64)))
(neg.f64 (+.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(literal 1 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f64 x #s(literal 2 binary64)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f64 x #s(literal 2 binary64)))
#s(approx (/ (* 2 x) (- 1 x)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 2 binary64)) x))
#s(approx (* 2 x) (*.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (log.f64 #s(literal -1 binary64)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (log.f64 #s(literal -1 binary64))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 2/5 binary64) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x))) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary64))
#s(approx (/ (* 2 x) (- 1 x)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
#s(approx (/ (* 2 x) (- 1 x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2/5 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2/3 binary64)) (*.f64 x x)) #s(literal 2 binary64)) x)))
#s(approx (/ (* 2 x) (- 1 x)) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64)) x) #s(literal -1 binary64) #s(literal -2 binary64)))
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x)))

eval8.0ms (0.7%)

Memory: 19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 330 to 372 computations (72% saved)

prune2.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Accuracy

100.0%

Counts

78 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
▶	99.8%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 33 to 26 computations (21.2% saved)

series3.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Counts

7 → 15

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/3 binary64)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) 3 1/3)

1.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) 3 1/3)

1.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) 1/3) x) (pow x 3) 3 1/3)

rewrite133.0ms (12.2%)

Memory

-21.3MiB live, 168.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	346
0	80	335
1	454	308
0	4218	290

Stop Event

1×	iter-limit
1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

22 → 80

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/3 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (+ (* (pow x 3) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
x
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (*.f64 x x)) x)
(.f64 (.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)
(.f64 (.f64 x x) (*.f64 x (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))))
(.f64 x (.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1 binary64)) x) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(fma.f64 (.f64 (.f64 x x) #s(literal 1/3 binary64)) x x)
(fma.f64 (.f64 x x) (.f64 #s(literal 1/3 binary64) x) x)
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) (.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(-.f64 x (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 x (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/3 binary64))))
(-.f64 x (.f64 (.f64 #s(literal -1/3 binary64) (*.f64 x x)) x))
(+.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)) x)
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) x)
(.f64 x (.f64 (*.f64 x x) #s(literal 1 binary64)))
(.f64 x (.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
#s(literal 1/3 binary64)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx x x)
#s(approx (+ (* (pow x 3) 1/3) x) x)
#s(approx (+ (* (pow x 3) 1/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/5 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))))))
#s(approx (+ (* (pow x 3) 1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow x 3) 1/3) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/5 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/3 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))

eval7.0ms (0.6%)

Memory: 15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 859 to 294 computations (84.2% saved)

prune3.0ms (0.2%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	72	2	74

Accuracy

100.0%

Counts

74 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
✓	99.8%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 76 to 50 computations (34.2% saved)

regimes9.0ms (0.8%)

Memory

-25.7MiB live, 17.5MiB allocated; 6ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))

(*.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))

Calls

4 calls:

4.0ms	x
2.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
100.0%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
100.0%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

regimes4.0ms (0.4%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Calls

4 calls:

1.0ms	(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))
1.0ms	(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))
1.0ms	(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))
1.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))`
99.8%	1	`(log1p.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.8%	1	`(.f64 #s(literal 1/2 binary64) (log1p.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.8%	1	`x`

Compiler

Compiled 26 to 23 computations (11.5% saved)

derivations51.0ms (4.6%)

Memory

-23.6MiB live, 22.4MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 16 computations (51.5% saved)

preprocess15.0ms (1.4%)

Memory: 28.6MiB live, 28.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 86 to 50 computations (41.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze2.0ms (0.2%)

sample497.0ms (45.4%)

explain80.0ms (7.3%)

preprocess6.0ms (0.5%)

series5.0ms (0.5%)

rewrite270.0ms (24.7%)

eval8.0ms (0.7%)

prune2.0ms (0.2%)

series3.0ms (0.3%)

rewrite133.0ms (12.2%)

eval7.0ms (0.6%)

prune3.0ms (0.2%)

regimes9.0ms (0.8%)

regimes4.0ms (0.4%)

derivations51.0ms (4.6%)

preprocess15.0ms (1.4%)

end0.0ms (0%)

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