Metrics for Rust f32::atanh

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

3.1MiB live, 3.1MiB 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 (8.1%)

Memory

-16.5MiB live, 454.8MiB allocated; 73ms collecting garbage

Samples

247.0ms	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-atanh: 106.0ms (98.4% of total)

adjust: 2.0ms (1.9% of total)

Bogosity

preprocess178.0ms (3.5%)

Memory

-16.6MiB live, 29.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	17	7
2	43	7
3	109	7
4	385	7
5	2794	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Symmetry

(negabs x)

Compiler

Compiled 18 to 18 computations (0% saved)

series5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

9 → 34

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))))) #s(hole binary32 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* 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 binary32 (* 2 x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (* 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 binary32 (* 2 x)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* 2 x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (- 1 x) #s(hole binary32 1))
#s(approx (- 1 x) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 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 binary32 (log -1)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 -2))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary32 (* -1 x)))
#s(approx (- 1 x) #s(hole binary32 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* -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 binary32 (+ (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 binary32 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary32 (* -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)

rewrite719.0ms (14.3%)

Memory

49.9MiB live, 457.0MiB allocated; 325ms collecting garbage

Counts

43 → 43

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)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* 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 binary32 (* 2 x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (* 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 binary32 (* 2 x)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* 2 x)))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (* 2 x) #s(hole binary32 (* 2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (- 1 x) #s(hole binary32 1))
#s(approx (- 1 x) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 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 binary32 (log -1)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 -2))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (* 2 x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary32 (* -1 x)))
#s(approx (- 1 x) #s(hole binary32 (* x (- (/ 1 x) 1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* -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 binary32 (+ (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 binary32 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))
#s(approx (- 1 x) #s(hole binary32 (* -1 (* x (- 1 (/ 1 x))))))

Outputs
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(+.f32 x x)
#s(literal 2 binary32)
x
(-.f32 #s(literal 1 binary32) x)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (.f32 x x) #s(literal 2/3 binary32) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 2/7 binary32) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (+.f32 x x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 x (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) #s(literal 2 binary32)) x))
#s(approx (* 2 x) (+.f32 x x))
#s(approx x x)
#s(approx (- 1 x) #s(literal 1 binary32))
#s(approx (- 1 x) (+.f32 #s(literal 1 binary32) (neg.f32 x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log.f32 #s(literal -1 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (/.f32 #s(literal 1 binary32) x) (log.f32 #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) x))) (/.f32 #s(literal 1 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) x))) (fma.f32 #s(literal 1/5 binary32) (pow.f32 x (neg.f32 #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (log.f32 #s(literal -1 binary32)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) x)) (/.f32 #s(literal 2 binary32) x))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) x))) (fma.f32 #s(literal 2/5 binary32) (pow.f32 x (neg.f32 #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x))))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(approx (/ (* 2 x) (- 1 x)) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) #s(literal 2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (*.f32 x x))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) x)))
#s(approx (- 1 x) (neg.f32 x))
#s(approx (- 1 x) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/3 binary32)) (.f32 x x))) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/3 binary32)) (.f32 x x))) #s(literal 2 binary32)) x))))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) x)) #s(literal 2 binary32)))
#s(approx (- 1 x) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))))

eval3.0ms (0.1%)

Memory: 6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 336 to 144 computations (57.1% saved)

prune8.0ms (0.2%)

Memory

-39.3MiB live, 9.8MiB allocated; 7ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	36	7	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	8	44

Accuracy

100.0%

Counts

44 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.1%	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
	21.4%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
▶	10.5%	#s(approx (- 1 x) #s(literal 1 binary32))
▶	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
	99.0%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
▶	98.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
▶	97.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 183 to 177 computations (3.3% saved)

series9.0ms (0.2%)

Memory

17.7MiB live, 17.7MiB allocated; 0ms collecting garbage

Counts

19 → 62

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x x)
x
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (- 1 x) #s(literal 1 binary32))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(+.f32 x x)
(-.f32 #s(literal 1 binary32) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 1/3))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 1/5))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 (+ 1/5 (* 1/7 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (- 1 x) #s(hole binary32 1))
#s(approx (- 1 x) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* 2 x)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* 2 x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* 1/7 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* 1/7 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (* 1/7 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 (* 1/7 (pow x 2))))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (- 1 x) #s(hole binary32 (* -1 x)))
#s(approx (- 1 x) #s(hole binary32 (* x (- (/ 1 x) 1))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 -2))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))))
#s(approx (- 1 x) #s(hole binary32 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

2.0ms

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

2.0ms

inf

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

rewrite653.0ms (13%)

Memory

-4.9MiB live, 323.8MiB allocated; 51ms collecting garbage

Counts

81 → 77

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x x)
x
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (- 1 x) #s(literal 1 binary32))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(+.f32 x x)
(-.f32 #s(literal 1 binary32) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x)
(fma.f32 (*.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 1/3))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 1/5))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 (+ 1/5 (* 1/7 (pow x 2)))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))
#s(approx (- 1 x) #s(hole binary32 1))
#s(approx (- 1 x) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* 2 x)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* 2 x)))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 x))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* 1/7 (pow x 7))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* 1/7 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) #s(hole binary32 (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (* 1/7 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) #s(hole binary32 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 (* 1/7 (pow x 2))))
#s(approx (+ (* (* x x) 1/7) 1/5) #s(hole binary32 (* (pow x 2) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (- 1 x) #s(hole binary32 (* -1 x)))
#s(approx (- 1 x) #s(hole binary32 (* x (- (/ 1 x) 1))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 -2))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (* -1 (+ 2 (* 2 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary32 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary32 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) 1/7) 1/5) (* x x)) 1/3) (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))))
#s(approx (- 1 x) #s(hole binary32 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (/ (+ x x) (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32))
(fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32))
(*.f32 x x)
x
#s(literal 1/7 binary32)
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (- 1 x) #s(literal 1 binary32))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
(+.f32 x x)
(-.f32 #s(literal 1 binary32) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x)
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) x)
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) #s(literal 1 binary32))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) (fma.f32 (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (fma.f32 (.f32 x x) (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) #s(literal 1/3 binary32)))
#s(approx (+ 1/5 (* x (* x 1/7))) #s(literal 1/5 binary32))
#s(approx (+ 1/5 (* x (* x 1/7))) (fma.f32 (*.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx x x)
#s(approx (- 1 x) (+.f32 #s(literal 1 binary32) (neg.f32 x)))
#s(approx (/ (* 2 x) (- 1 x)) (+.f32 x x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x))
#s(approx (* 2 x) (+.f32 x x))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) x)
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ 1 (* 1/3 (* x x))) #s(literal 1 binary32))
#s(approx (+ 1 (* 1/3 (* x x))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log.f32 #s(literal -1 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (/.f32 #s(literal 1 binary32) x) (log.f32 #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) x))) (/.f32 #s(literal 1 binary32) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 #s(literal 1/5 binary32) (pow.f32 x (neg.f32 #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) x)))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/7 binary32)))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (pow.f32 x #s(literal 7 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/7 binary32))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (pow.f32 x (neg.f32 #s(literal 6 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x)))) (pow.f32 x #s(literal 7 binary32))))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/7 binary32)))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) (.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/7 binary32))))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) (.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) (.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (pow.f32 x (neg.f32 #s(literal 6 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x)))) (pow.f32 x #s(literal 6 binary32))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/7 binary32)))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (.f32 (pow.f32 x #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/7 binary32))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1/5 (* x (* x 1/7))) (.f32 #s(literal 1/7 binary32) (.f32 x x)))
#s(approx (+ 1/5 (* x (* x 1/7))) (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/7 binary32)) (*.f32 x x)))
#s(approx (- 1 x) (neg.f32 x))
#s(approx (- 1 x) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x))
#s(approx (/ (* 2 x) (- 1 x)) #s(literal -2 binary32))
#s(approx (/ (* 2 x) (- 1 x)) (neg.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x))))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) #s(literal 2 binary32)))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (*.f32 x x))) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) x)))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) x)))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
#s(approx (+ 1 (* 1/3 (* x x))) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
#s(approx (+ 1 (* 1/3 (* x x))) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (neg.f32 (.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/7 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (- 1 x) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))))
#s(approx (/ (* 2 x) (- 1 x)) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) x)) #s(literal 2 binary32)))

eval4.0ms (0.1%)

Memory: 6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 680 to 202 computations (70.3% saved)

prune5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated; 0ms collecting garbage

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	71	11	82

Accuracy

100.0%

Counts

82 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	10.5%	(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
✓	28.1%	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	21.4%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
✓	10.5%	#s(approx (- 1 x) #s(literal 1 binary32))
▶	10.7%	#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
▶	99.0%	#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
▶	33.8%	#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
✓	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
✓	98.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
✓	97.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 200 to 194 computations (3% saved)

series10.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Counts

23 → 94

Calls

Call 1

Inputs
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
x
(fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)

Outputs
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 x))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 1/3))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 1/3))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 x))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 x))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 (/ (+ 1 (* 1/3 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (* (* x x) x) #s(hole binary32 (pow x 3)))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 x))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* 2 x)))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 1))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (+ 1 (* 2 x))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (/ x (- 1 x)) #s(hole binary32 x))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (- 1 x) #s(hole binary32 1))
#s(approx (- 1 x) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* 1/7 (pow x 7))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* 1/5 (pow x 5))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (* 1/5 (pow x 4))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 (* 1/5 (pow x 2))))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (* 1/7 (pow x 4))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 1/3))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 (+ 1/3 (/ 1 (pow x 2)))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (log -1)))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 -1))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary32 -1))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary32 (* -1 x)))
#s(approx (- 1 x) #s(hole binary32 (* x (- (/ 1 x) 1))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary32 (* -1 (* x (- 1 (/ 1 x))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

rewrite2.0s (39.4%)

Memory

-115.7MiB live, 308.0MiB allocated; 2.1s collecting garbage

Counts

117 → 114

Calls

Call 1

Inputs
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
x
(fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
(.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 x))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 x))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx x #s(hole binary32 x))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 1))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 1/3))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 1/3))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (+ 1/3 (* 1/5 (pow x 2)))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 1))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 x))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 x))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 (/ (+ 1 (* 1/3 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (* (* x x) x) #s(hole binary32 (pow x 3)))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 x))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* 2 x)))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 1))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (+ 1 (* 2 x))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (/ x (- 1 x)) #s(hole binary32 x))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* x (+ 1 x))))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* x (+ 1 (* x (+ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))))
#s(approx (- 1 x) #s(hole binary32 1))
#s(approx (- 1 x) #s(hole binary32 (+ 1 (* -1 x))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* 1/7 (pow x 7))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* 1/5 (pow x 5))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (* 1/5 (pow x 4))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1) #s(hole binary32 (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 (* 1/5 (pow x 2))))
#s(approx (+ (* 1/5 (* x x)) 1/3) #s(hole binary32 (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (* 1/7 (pow x 4))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(hole binary32 (* (pow x 4) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 (* 1/3 (pow x 2))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary32 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) #s(hole binary32 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 (* 1/3 (pow x 3))))
#s(approx (* (+ 1/3 (/ 1 (* x x))) (* (* x x) x)) #s(hole binary32 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 1/3))
#s(approx (+ 1/3 (/ 1 (* x x))) #s(hole binary32 (+ 1/3 (/ 1 (pow x 2)))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (* 1/2 (log -1))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (log -1)))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 -1))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ x (- 1 x)) #s(hole binary32 -1))
#s(approx (/ x (- 1 x)) #s(hole binary32 (* -1 (+ 1 (/ 1 x)))))
#s(approx (/ x (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary32 (* -1 x)))
#s(approx (- 1 x) #s(hole binary32 (* x (- (/ 1 x) 1))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) #s(hole binary32 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))))
#s(approx (* x (+ (* (* x x) (+ (* 1/5 (* x x)) 1/3)) 1)) #s(hole binary32 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))))
#s(approx (* 1/2 (log (+ (* 2 (/ x (- 1 x))) 1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (+ (* 2 (/ x (- 1 x))) 1)) #s(hole binary32 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))
#s(approx (+ (* 2 (/ x (- 1 x))) 1) #s(hole binary32 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (/ x (- 1 x)) #s(hole binary32 (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary32 (* -1 (* x (- 1 (/ 1 x))))))

Outputs
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
(.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)
x
(fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32))
#s(literal 1/5 binary32)
#s(literal 1/3 binary32)
#s(literal 1 binary32)
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (.f32 (.f32 x x) x) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
(.f32 (.f32 (.f32 x x) x) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(.f32 (.f32 x x) x)
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
#s(literal 1/2 binary32)
(log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))
#s(literal 2 binary32)
(/.f32 x (-.f32 #s(literal 1 binary32) x))
(-.f32 #s(literal 1 binary32) x)
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) x)
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* x (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x))))))) x)
#s(approx (* x (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x))))))) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* x (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x))))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx x x)
#s(approx (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x)))))) #s(literal 1 binary32))
#s(approx (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x)))))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x)))))) (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (+ 1/3 (* 1/5 (* x x))) #s(literal 1/3 binary32))
#s(approx (+ 1/3 (* 1/5 (* x x))) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)))
#s(approx (+ 1 (* 1/3 (* x x))) #s(literal 1 binary32))
#s(approx (+ 1 (* 1/3 (* x x))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) x)
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* (pow x 3) (+ 1/3 (pow x -2))) x)
#s(approx (* (pow x 3) (+ 1/3 (pow x -2))) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (+ 1/3 (pow x -2)) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
#s(approx (+ 1/3 (pow x -2)) (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) (.f32 x x)))
#s(approx (pow x -2) (/.f32 #s(literal 1 binary32) (*.f32 x x)))
#s(approx (pow x 3) (.f32 (.f32 x x) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/7 binary32) (.f32 x x) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 x x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 #s(literal 2/3 binary32) (.f32 x x) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 #s(literal 2/5 binary32) (.f32 x x) #s(literal 2/3 binary32)) (*.f32 x x) #s(literal 2 binary32)) x))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2/7 binary32) (.f32 x x) #s(literal 2/5 binary32)) (.f32 x x) #s(literal 2/3 binary32)) (.f32 x x) #s(literal 2 binary32)) x))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) #s(literal 1 binary32))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) (fma.f32 #s(literal 2 binary32) x #s(literal 1 binary32)))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 1 binary32)))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) x #s(literal 2 binary32)) x #s(literal 2 binary32)) x #s(literal 1 binary32)))
#s(approx (/ x (- 1 x)) x)
#s(approx (/ x (- 1 x)) (*.f32 (+.f32 #s(literal 1 binary32) x) x))
#s(approx (/ x (- 1 x)) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) x))
#s(approx (/ x (- 1 x)) (*.f32 (fma.f32 x (fma.f32 (+.f32 #s(literal 1 binary32) x) x #s(literal 1 binary32)) #s(literal 1 binary32)) x))
#s(approx (- 1 x) #s(literal 1 binary32))
#s(approx (- 1 x) (+.f32 #s(literal 1 binary32) (neg.f32 x)))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (*.f32 (pow.f32 x #s(literal 7 binary32)) #s(literal 1/7 binary32)))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 (+.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.f32 (pow.f32 x (neg.f32 #s(literal 6 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x)))) (pow.f32 x #s(literal 7 binary32))))
#s(approx (* x (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x))))))) (*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))))
#s(approx (* x (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x))))))) (.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 5 binary32))))
#s(approx (* x (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x))))))) (.f32 (+.f32 #s(literal 1/5 binary32) (+.f32 (pow.f32 x (neg.f32 #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (.f32 x x)))) (pow.f32 x #s(literal 5 binary32))))
#s(approx (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x)))))) (*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x)))))) (.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x)))))) (.f32 (+.f32 #s(literal 1/5 binary32) (+.f32 (pow.f32 x (neg.f32 #s(literal 4 binary32))) (/.f32 #s(literal 1/3 binary32) (.f32 x x)))) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1/3 (* 1/5 (* x x))) (.f32 #s(literal 1/5 binary32) (.f32 x x)))
#s(approx (+ 1/3 (* 1/5 (* x x))) (.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/7 binary32)))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (.f32 x x)) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) (.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 4 binary32))))
#s(approx (+ 1 (* 1/3 (* x x))) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
#s(approx (+ 1 (* 1/3 (* x x))) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)))))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) x)))
#s(approx (* (pow x 3) (+ 1/3 (pow x -2))) (.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) x)))
#s(approx (* (pow x 3) (+ 1/3 (pow x -2))) (.f32 (.f32 (.f32 x x) x) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))))
#s(approx (+ 1/3 (pow x -2)) #s(literal 1/3 binary32))
#s(approx (+ 1/3 (pow x -2)) (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (log.f32 #s(literal -1 binary32)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (/.f32 #s(literal 1 binary32) x) (log.f32 #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) x))) (log.f32 #s(literal -1 binary32))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (+.f32 (fma.f32 #s(literal 1/5 binary32) (pow.f32 x (neg.f32 #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) x))) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (log.f32 #s(literal -1 binary32)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) x)))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) x))) (fma.f32 #s(literal 2/5 binary32) (pow.f32 x (neg.f32 #s(literal 5 binary32))) (/.f32 #s(literal 2 binary32) x))))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) #s(literal -1 binary32))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) x))))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) #s(literal 1 binary32)))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) x)))
#s(approx (/ x (- 1 x)) #s(literal -1 binary32))
#s(approx (/ x (- 1 x)) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))))
#s(approx (/ x (- 1 x)) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) #s(literal 1 binary32)))
#s(approx (/ x (- 1 x)) (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)))
#s(approx (- 1 x) (neg.f32 x))
#s(approx (- 1 x) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (.f32 x x))) (*.f32 x x))) #s(literal 1/7 binary32)) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (neg.f32 (.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/7 binary32)) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (pow.f32 x #s(literal 7 binary32)))))
#s(approx (* x (+ 1 (* x (* x (+ 1/3 (* 1/5 (* x x))))))) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x))) #s(literal 1/5 binary32)) (pow.f32 x #s(literal 5 binary32)))))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (.f32 x x))) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 (/ (* 2 x) (- 1 x)))) (+.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 2/5 binary32) (.f32 x x)) #s(literal 2/3 binary32)) (.f32 x x))) #s(literal 2 binary32)) x))))
#s(approx (+ 1 (/ (* 2 x) (- 1 x))) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) x)) #s(literal 1 binary32)))
#s(approx (/ x (- 1 x)) (-.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x)) #s(literal 1 binary32)))
#s(approx (- 1 x) (*.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))))

eval7.0ms (0.1%)

Memory: 7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 944 to 307 computations (67.5% saved)

prune6.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	0	0
Picked	0	5	5
Done	0	6	6
Total	108	12	120

Accuracy

100.0%

Counts

120 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.5%	(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
✓	28.1%	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
▶	6.1%	(/.f32 #s(literal 1 binary32) (*.f32 x x))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	21.4%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
✓	10.5%	#s(approx (- 1 x) #s(literal 1 binary32))
✓	10.7%	#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
✓	99.0%	#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
✓	33.8%	#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
✓	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
✓	98.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
✓	97.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 138 to 134 computations (2.9% saved)

series2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs
#s(approx (/ 1 (* x x)) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ 1 (* x x)) 1 (* x x) x)
1.0ms	x	@	inf	((/ 1 (* x x)) 1 (* x x) x)
0.0ms	x	@	0	((/ 1 (* x x)) 1 (* x x) x)

rewrite763.0ms (15.1%)

Memory

4.9MiB live, 195.4MiB allocated; 39ms collecting garbage

Counts

7 → 7

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (*.f32 x x))
#s(literal 1 binary32)
(*.f32 x x)
x
#s(approx (/ 1 (* x x)) #s(hole binary32 (/ 1 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx x #s(hole binary32 x))

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 12 to 10 computations (16.7% saved)

prune5.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	6	0	6
Fresh	0	0	0
Picked	0	1	1
Done	0	11	11
Total	6	12	18

Accuracy

100.0%

Counts

18 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	10.5%	(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
✓	28.1%	(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
✓	6.1%	(/.f32 #s(literal 1 binary32) (*.f32 x x))
✓	99.9%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	21.4%	(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
✓	10.5%	#s(approx (- 1 x) #s(literal 1 binary32))
✓	10.7%	#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
✓	99.0%	#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
✓	33.8%	#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
✓	99.2%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))
✓	98.5%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
✓	97.3%	#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)

Compiler

Compiled 247 to 203 computations (17.8% saved)

regimes80.0ms (1.6%)

Memory

-30.5MiB live, 20.3MiB allocated; 13ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
#s(approx (- 1 x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))
(.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 (fma.f32 (fma.f32 (fma.f32 (.f32 x x) #s(literal 1/7 binary32) #s(literal 1/5 binary32)) (.f32 x x) #s(literal 1/3 binary32)) (.f32 x x) #s(literal 1 binary32)) x))

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

Calls

4 calls:

29.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
14.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
6.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
4.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.9%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.9%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.9%	1	`x`

Compiler

Compiled 23 to 23 computations (0% saved)

regimes39.0ms (0.8%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
#s(approx (- 1 x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* (* (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) x) x)) x) (.f32 x (fma.f32 (.f32 x x) (fma.f32 #s(literal 1/5 binary32) (*.f32 x x) #s(literal 1/3 binary32)) #s(literal 1 binary32))))
(*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))

Outputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (fma.f32 #s(literal 1/5 binary32) (.f32 x x) #s(literal 1/3 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))

Calls

4 calls:

10.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
9.0ms	x
9.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
8.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

Accuracy	Segments	Branch
99.0%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
99.0%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.0%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.0%	1	`x`

Compiler

Compiled 23 to 23 computations (0% saved)

regimes17.0ms (0.3%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
#s(approx (- 1 x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) (.f32 (fma.f32 (.f32 x x) #s(literal 1/3 binary32) #s(literal 1 binary32)) x))
#s(approx (* (+ 1 (* 1/3 (* x x))) x) (.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (.f32 x x) x)))

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

Calls

4 calls:

6.0ms	x
3.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
3.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
3.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Results

Accuracy	Segments	Branch
98.5%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
98.5%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
98.5%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
98.5%	1	`x`

Compiler

Compiled 23 to 23 computations (0% saved)

regimes11.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Accuracy

Total -29.2b remaining (-3347.2%)

Threshold costs -29.2b (-3347.2%)

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x))))) x)
#s(approx (+ 1/3 (* (* (+ 1/5 (* x (* x 1/7))) x) x)) #s(literal 1/3 binary32))
#s(approx (- 1 x) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 x x))
(fma.f32 #s(literal 1/3 binary32) (*.f32 x x) #s(literal 1 binary32))
(/.f32 (+.f32 x x) (-.f32 #s(literal 1 binary32) x))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.3%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
97.3%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
97.3%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
97.3%	1	`x`

Compiler

Compiled 23 to 23 computations (0% saved)

derivations1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 43 to 29 computations (32.6% saved)

preprocess118.0ms (2.3%)

Memory: -28.7MiB live, 62.2MiB allocated; 12ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 162 to 146 computations (9.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample407.0ms (8.1%)

preprocess178.0ms (3.5%)

series5.0ms (0.1%)

rewrite719.0ms (14.3%)

eval3.0ms (0.1%)

prune8.0ms (0.2%)

series9.0ms (0.2%)

rewrite653.0ms (13%)

eval4.0ms (0.1%)

prune5.0ms (0.1%)

series10.0ms (0.2%)

rewrite2.0s (39.4%)

eval7.0ms (0.1%)

prune6.0ms (0.1%)

series2.0ms (0%)

rewrite763.0ms (15.1%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes80.0ms (1.6%)

regimes39.0ms (0.8%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

derivations1.0ms (0%)

preprocess118.0ms (2.3%)

end0.0ms (0%)

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