Metrics for Rust f32::atanh

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 4 computations (0% saved)

sample407.0ms (38.3%)

Memory

20.4MiB live, 403.1MiB allocated; 113ms collecting garbage

Samples

296.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-atanh: 156.0ms (99.2% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

preprocess35.0ms (3.3%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	17	9
2	80	9

Stop Event

1×	iter-limit
1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 20 to 18 computations (10% saved)

series115.0ms (10.8%)

Memory

-5.5MiB live, 42.8MiB allocated; 12ms collecting garbage

Counts

9 → 33

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 2 binary32))))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32))))))))))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))))))))
#s(approx (- 1 x) #s(literal 1 binary32))
#s(approx (- 1 x) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal -1 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 13/3 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 13/3 binary32) (.f32 #s(literal 10 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (/.f32 #s(literal -2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x))) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (.f32 #s(literal 26/3 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 26/3 binary32) (.f32 #s(literal 20 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))) x))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(approx (- 1 x) (*.f32 #s(literal -1 binary32) x))
#s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 13/3 binary32) (pow.f32 x #s(literal 2 binary32))))) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 13/3 binary32) (.f32 #s(literal 10 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 26/3 binary32) (pow.f32 x #s(literal 2 binary32))))) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 26/3 binary32) (.f32 #s(literal 20 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 4 binary32)) x))) x)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32)))
#s(approx (- 1 x) (.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))))

Calls

3 calls:

Time	Variable	Point
1.0ms	x	inf
1.0ms	x	0
1.0ms	x	-inf

rewrite149.0ms (14%)

Memory

21.6MiB live, 104.5MiB allocated; 14ms collecting garbage

Counts

9 → 41

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 2 binary32) x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)

Outputs
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 1/2 binary32)
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(literal 1 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 2 binary32) #s(literal 2 binary32))

eval9.0ms (0.8%)

Memory: -38.0MiB live, 6.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 806 to 222 computations (72.5% saved)

prune2.0ms (0.2%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Accuracy

100.0%

Counts

39 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	99.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))))
▶	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
▶	98.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 64 to 52 computations (18.8% saved)

series107.0ms (10.1%)

Memory

11.7MiB live, 68.1MiB allocated; 21ms collecting garbage

Counts

19 → 43

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))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(literal 1 binary32)
(*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal 1/3 binary32)
(pow.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))))
(/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
(*.f32 #s(literal 2 binary32) x)
#s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
(*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) x)

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1/3 binary32) (*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1/5 binary32) (.f32 #s(literal 1/7 binary32) (pow.f32 x #s(literal 2 binary32))))))))))
#s(approx (+ 1 (* 1/3 (pow x 2))) #s(literal 1 binary32))
#s(approx (+ 1 (* 1/3 (pow x 2))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32)))))
#s(approx (* 1/3 (pow x 2)) (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(approx (pow x 2) (pow.f32 x #s(literal 2 binary32)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal 2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (*.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 2 binary32))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/3 binary32) (.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 2/5 binary32) (.f32 #s(literal 2/7 binary32) (pow.f32 x #s(literal 2 binary32))))))))))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x))))))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))))))))
#s(approx (- 1 x) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)))
#s(approx (- (/ 1 x) 1) (/.f32 #s(literal 1 binary32) x))
#s(approx (- (/ 1 x) 1) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 #s(literal -1 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 13/3 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 13/3 binary32) (.f32 #s(literal 10 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))) x))
#s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 3 binary32))))
#s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f32 (pow.f32 x #s(literal 3 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (+ 1 (* 1/3 (pow x 2))) (*.f32 (pow.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 2 binary32))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (/.f32 #s(literal -2 binary32) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x))) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 4 binary32) (.f32 #s(literal 26/3 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 26/3 binary32) (.f32 #s(literal 20 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x)))) x))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(approx (/ (* 2 x) (- 1 x)) (.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x))) (pow.f32 x #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x)))))
#s(approx (- 1 x) (*.f32 #s(literal -1 binary32) x))
#s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
#s(approx (- (/ 1 x) 1) #s(literal -1 binary32))
#s(approx (- (/ 1 x) 1) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 13/3 binary32) (pow.f32 x #s(literal 2 binary32))))) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 13/3 binary32) (.f32 #s(literal 10 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 2 binary32)) x))) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal 4 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 26/3 binary32) (pow.f32 x #s(literal 2 binary32))))) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 26/3 binary32) (.f32 #s(literal 20 binary32) (/.f32 #s(literal 1 binary32) x))) x)) #s(literal 4 binary32)) x))) x)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 2 binary32) (pow.f32 x #s(literal 2 binary32))))) x)) #s(literal 2 binary32)))
#s(approx (- 1 x) (.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))))

Calls

3 calls:

Time	Variable	Point
3.0ms	x	inf
2.0ms	x	-inf
2.0ms	x	0

rewrite174.0ms (16.4%)

Memory

10.8MiB live, 102.5MiB allocated; 16ms collecting garbage

Counts

19 → 67

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))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))
#s(literal 1 binary32)
(*.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32)))
#s(literal 1/3 binary32)
(pow.f32 x #s(literal 2 binary32))
#s(literal 2 binary32)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))))
(/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))
(*.f32 #s(literal 2 binary32) x)
#s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))))
(*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) x)

Outputs
#s(approx 0 #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx 0 (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 #s(literal 1/3 binary32) #s(literal 1/3 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal 1/3 binary32) #s(literal 1/3 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/3 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) #s(literal 1/3 binary32))
(/.f32 #s(literal 1/3 binary32) #s(literal 1 binary32))
#s(literal 1/3 binary32)
(*.f32 #s(literal 1/3 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) #s(literal 1/3 binary32))
(+.f32 #s(literal 1/3 binary32) #s(literal 1/3 binary32))
(/.f32 #s(literal 1/3 binary32) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx 0 #s(literal 1 binary32)))))
#s(literal 1/2 binary32)
(log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx 0 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx 0 #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))
#s(approx 0 #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
x
(*.f32 #s(literal 1 binary32) #s(literal 1 binary32))

eval10.0ms (1%)

Memory: 7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 477 to 363 computations (75.4% saved)

prune5.0ms (0.4%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	67	4	71

Accuracy

100.0%

Counts

71 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	99.1%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))))
✓	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
✓	98.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 64 to 52 computations (18.8% saved)

regimes26.0ms (2.5%)

Memory

-24.6MiB live, 20.6MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

4 → 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)

Call 2

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 2 binary32))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(approx (- 1 x) (*.f32 x (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Calls

8 calls:

7.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	x
2.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Results

Accuracy	Segments	Branch
98.0%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
98.0%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.0%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.0%	1	`x`
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`x`

Compiler

Compiled 116 to 78 computations (32.8% saved)

derivations1.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 24 to 19 computations (20.8% saved)

preprocess22.0ms (2.1%)

Memory: 18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 34 to 28 computations (17.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample407.0ms (38.3%)

preprocess35.0ms (3.3%)

series115.0ms (10.8%)

rewrite149.0ms (14%)

eval9.0ms (0.8%)

prune2.0ms (0.2%)

series107.0ms (10.1%)

rewrite174.0ms (16.4%)

eval10.0ms (1%)

prune5.0ms (0.4%)

regimes26.0ms (2.5%)

derivations1.0ms (0.1%)

preprocess22.0ms (2.1%)

end0.0ms (0%)

Profiling