Metrics for Rust f64::atanh

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB 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)

sample482.0ms (20.7%)

Memory

26.5MiB live, 655.3MiB allocated; 118ms collecting garbage

Samples

281.0ms	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-atanh: 61.0ms (92.8% of total)

adjust: 3.0ms (4.6% of total)

ival-assert: 2.0ms (3% of total)

Bogosity

explain91.0ms (3.9%)

Memory

-10.6MiB live, 175.9MiB allocated; 18ms 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

40.0ms

512×

valid

Compiler

Compiled 92 to 31 computations (66.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (38.4% of total)

ival-div: 8.0ms (30.7% of total)

ival-sub: 3.0ms (11.5% of total)

ival-log1p: 3.0ms (11.5% of total)

exact: 1.0ms (3.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess150.0ms (6.4%)

Memory

16.6MiB live, 158.3MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	9	10
0	15	10
1	24	10
2	40	10
3	108	10
4	444	10
5	2290	10
6	5655	10
0	8065	10

Stop Event

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

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))))

Outputs

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

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

Compiler

Compiled 10 to 9 computations (10% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

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 10 to 9 computations (10% saved)

series9.0ms (0.4%)

Memory

-33.9MiB live, 12.2MiB allocated; 6ms 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
6.0ms	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	@	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)

Time

Variable

Point

Expression

6.0ms

-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

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)

rewrite184.0ms (7.9%)

Memory

33.9MiB live, 282.1MiB allocated; 35ms 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)))

eval10.0ms (0.4%)

Memory: -24.0MiB live, 23.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 400 to 375 computations (73.2% saved)

prune51.0ms (2.2%)

Memory

8.4MiB live, 103.0MiB allocated; 3ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	1	85

Accuracy

100.0%

Counts

85 → 1

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)) (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))

Status

Accuracy

Program

▶

100.0%

#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))

Compiler

Compiled 29 to 20 computations (31% saved)

series6.0ms (0.3%)

Memory

13.7MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

11 → 32

Calls

Call 1

Inputs
#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))
(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)
(pow.f64 x #s(literal 3 binary64))
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))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
#s(literal 1/5 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 (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 1/5))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 (+ 1/5 (* 1/7 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* 1/7 (pow x 7))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (* 1/7 (pow x 4))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 (* 1/7 (pow x 2))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 (* (pow x 2) (+ 1/7 (* 1/5 (/ 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)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) x 3 (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5) 1/7 (* x x) 1/5 1/3)
2.0ms	x	@	-inf	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) x 3 (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5) 1/7 (* x x) 1/5 1/3)
1.0ms	x	@	0	((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) x 3 (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5) 1/7 (* x x) 1/5 1/3)

Time

Variable

Point

Expression

3.0ms

inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) x 3 (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5) 1/7 (* x x) 1/5 1/3)

2.0ms

-inf

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) x 3 (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5) 1/7 (* x x) 1/5 1/3)

1.0ms

((* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (pow x 3) x 3 (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (+ (* 1/7 (* x x)) 1/5) 1/7 (* x x) 1/5 1/3)

rewrite272.0ms (11.7%)

Memory

-8.7MiB live, 178.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	841
0	145	801
1	769	773
0	7178	740

Stop Event

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

Counts

43 → 188

Calls

Call 1

Inputs
#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))
(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)
(pow.f64 x #s(literal 3 binary64))
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))
(fma.f64 #s(literal 1/7 binary64) (*.f64 x x) #s(literal 1/5 binary64))
#s(literal 1/7 binary64)
(*.f64 x x)
#s(literal 1/5 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 (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 1/5))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 (+ 1/5 (* 1/7 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#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) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* 1/7 (pow x 7))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (* 1/7 (pow x 4))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 (* 1/7 (pow x 2))))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(hole binary64 (* (pow x 2) (+ 1/7 (* 1/5 (/ 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)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) (-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x) x)))
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(-.f64 (/.f64 #s(literal 1/25 binary64) (-.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))) (/.f64 (.f64 #s(literal 1/49 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5 binary64) (.f64 (*.f64 x x) #s(literal 1/7 binary64)))))
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(-.f64 #s(literal 1/5 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 1/7 binary64)))
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(+.f64 (.f64 (.f64 x x) #s(literal 1/7 binary64)) #s(literal 1/5 binary64))
(+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
#s(literal 1/7 binary64)
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
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(pow.f64 x #s(literal 2 binary64))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/5 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 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) x)
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)) x))
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#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx x x)
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#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (fma.f64 (*.f64 x x) #s(literal 1/5 binary64) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* 1/7 (* x x)) 1/5) #s(literal 1/5 binary64))
#s(approx (+ (* 1/7 (* x x)) 1/5) (fma.f64 (*.f64 x x) #s(literal 1/7 binary64) #s(literal 1/5 binary64)))
#s(approx (* x x) (*.f64 x 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))))
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#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) (fma.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) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/7 binary64)))
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#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (*.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5 binary64) (pow.f64 x #s(literal -6 binary64))) #s(literal 1/7 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/7 binary64)))
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#s(approx (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) #s(literal 1/7 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* 1/7 (* x x)) 1/5) (.f64 (.f64 x x) #s(literal 1/7 binary64)))
#s(approx (+ (* 1/7 (* x x)) 1/5) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5 binary64) #s(literal 1/7 binary64)) x) 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)))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (*.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/5 binary64)) x) x) #s(literal 1/7 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (pow x 3) (+ (* (+ (* 1/7 (* x x)) 1/5) (* x x)) 1/3)) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (neg.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -4 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5 binary64) #s(literal 1/7 binary64)))))

eval33.0ms (1.4%)

Memory: 9.1MiB live, 62.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 7 768 to 866 computations (88.9% saved)

prune944.0ms (40.5%)

Memory

-8.5MiB live, 1 281.4MiB allocated; 74ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	214	1	215

Accuracy

100.0%

Counts

215 → 1

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)) (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))

Status

Accuracy

Program

✓

100.0%

#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))

Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes5.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-∞%)

Threshold costs -0b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs

#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))

(*.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)) (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))

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	(/.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	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)

simplify47.0ms (2%)

Memory

-8.5MiB live, 41.3MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	29
1	29	29
2	44	29
3	123	29
4	708	29
5	7328	29

Stop Event

1×	node limit

Calls

Call 1

Inputs

#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))

Outputs

#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))

derivations29.0ms (1.2%)

Memory

-30.6MiB live, 17.0MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 29 to 20 computations (31% saved)

preprocess13.0ms (0.6%)

Memory: 15.9MiB live, 15.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 78 to 58 computations (25.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample482.0ms (20.7%)

explain91.0ms (3.9%)

preprocess150.0ms (6.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series9.0ms (0.4%)

rewrite184.0ms (7.9%)

eval10.0ms (0.4%)

prune51.0ms (2.2%)

series6.0ms (0.3%)

rewrite272.0ms (11.7%)

eval33.0ms (1.4%)

prune944.0ms (40.5%)

regimes5.0ms (0.2%)

simplify47.0ms (2%)

derivations29.0ms (1.2%)

preprocess13.0ms (0.6%)

end0.0ms (0%)

Profiling