Metrics for Hyperbolic arc-(co)tangent

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample4.0s (87.2%)

Memory

-175.2MiB live, 3 229.6MiB allocated; 2.1s collecting garbage

Samples

2.5s	3 526×	2	valid
986.0ms	4 584×	1	valid
154.0ms	146×	0	valid
0.0ms	6×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-log: 2.3s (74.1% of total)

adjust: 327.0ms (10.4% of total)

ival-add!: 218.0ms (6.9% of total)

ival-div!: 112.0ms (3.6% of total)

ival-mult!: 111.0ms (3.5% of total)

ival-sub!: 48.0ms (1.5% of total)

Bogosity

preprocess42.0ms (0.9%)

Memory

2.7MiB live, 49.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	30
1	76	27
2	281	7
3	1174	7

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))

Symmetry

(negabs x)

Compiler

Compiled 22 to 18 computations (18.2% saved)

series4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Counts

9 → 33

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

rewrite157.0ms (3.4%)

Memory

-19.0MiB live, 82.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	674
0	168	618
0	1200	595
1	3427	595

Stop Event

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

Counts

42 → 64

Calls

Call 1

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

Outputs
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(literal 2 binary64)
(log.f64 (fabs.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 #s(literal 1/5 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/7 binary64) (.f64 x x) #s(literal 1/5 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 x x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 #s(literal 2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/5 binary64) (.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x))
#s(approx (log (/ (+ 1 x) (- 1 x))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/7 binary64) (.f64 x x) #s(literal 2/5 binary64)) (.f64 x x) #s(literal 2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x))
#s(approx (/ (+ 1 x) (- 1 x)) #s(literal 1 binary64))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64)) x #s(literal 1 binary64)))
#s(approx (+ 1 x) (+.f64 x #s(literal 1 binary64)))
#s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(literal 0 binary64))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1/5 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) x))) #s(literal 0 binary64)))
#s(approx (log (/ (+ 1 x) (- 1 x))) #s(literal 0 binary64))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal 2 binary64) x)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 2/5 binary64) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 2/3 binary64) (.f64 (.f64 x x) x))) #s(literal 0 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) #s(literal -1 binary64))
#s(approx (/ (+ 1 x) (- 1 x)) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (+ 1 x) (- 1 x)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)))
#s(approx (+ 1 x) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (- 1 x) (neg.f64 x))
#s(approx (- 1 x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/5 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (.f64 x x))) #s(literal 1 binary64)) x)) #s(literal 0 binary64)))
#s(approx (log (/ (+ 1 x) (- 1 x))) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/5 binary64) (.f64 x x)) #s(literal 2/3 binary64)) (.f64 x x))) #s(literal 2 binary64)) x)) #s(literal 0 binary64)))
#s(approx (/ (+ 1 x) (- 1 x)) (-.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64)))
#s(approx (- 1 x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))

eval8.0ms (0.2%)

Memory: 19.5MiB live, 19.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 509 to 289 computations (43.2% saved)

prune3.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	4	60

Accuracy

100.0%

Counts

60 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.0%	(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
▶	8.0%	(log.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
▶	99.2%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)

Compiler

Compiled 41 to 41 computations (0% saved)

series9.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB allocated; 0ms collecting garbage

Counts

16 → 53

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 x))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (+ 1 x)))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x))))))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/2 x))))))))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 (+ 1 (* 2 x))))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* 2 x))))))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (* 2 x)))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (* x (+ 2 (* 2/3 (pow x 2))))))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (* 1/2 (log -1))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (/ 1 x))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/3) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* (* x x) 1/3) 1) #s(hole binary64 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (log (pow (/ (+ x 1) (- 1 x)) 1/2)) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (pow (/ (+ x 1) (- 1 x)) 1/2)) #s(hole binary64 (- (log (sqrt -1)) (/ 1 (* x (pow (sqrt -1) 2))))))
#s(approx (log (pow (/ (+ x 1) (- 1 x)) 1/2)) #s(hole binary64 (- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))) (pow x 2)))) (/ 1 (* x (pow (sqrt -1) 2))))))
#s(approx (log (pow (/ (+ x 1) (- 1 x)) 1/2)) #s(hole binary64 (- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (pow (sqrt -1) 2))) (* -3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 4)))) (* 2 (/ 1 (pow (sqrt -1) 6)))) (pow x 3))) (* 1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))) (pow x 2))))) (/ 1 (* x (pow (sqrt -1) 2))))))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (sqrt -1)))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (- (sqrt -1) (/ 1 (* x (sqrt -1))))))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (- (+ (sqrt -1) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1))))) (/ 1 (* x (sqrt -1))))))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) (* (pow x 3) (sqrt -1)))) (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* (pow x 2) (sqrt -1)))))) (/ 1 (* x (sqrt -1))))))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 -1))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 (* -1 (+ 1 (* 2 (/ 1 x))))))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (log -1)))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (+ (log -1) (* 2 (/ 1 x)))))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))))
#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) #s(hole binary64 (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))))
#s(approx (log (pow (/ (+ x 1) (- 1 x)) 1/2)) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1/2 (/ (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))) x)) (/ 1 (pow (sqrt -1) 2))) x)))))
#s(approx (log (pow (/ (+ x 1) (- 1 x)) 1/2)) #s(hole binary64 (+ (log (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* 3 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 4))) (+ (* 3 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 2 (/ 1 (pow (sqrt -1) 6))))) x)) (* 1/2 (- (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4))))) x)) (/ 1 (pow (sqrt -1) 2))) x)))))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (* x (sqrt -1)))) (/ 1 (sqrt -1))) x)))))
#s(approx (pow (/ (+ x 1) (- 1 x)) 1/2) #s(hole binary64 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* -1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (* x (sqrt -1))))) x)) (/ 1 (sqrt -1))) x)))))
#s(approx (/ (+ x 1) (- 1 x)) #s(hole binary64 (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (log (/ (+ x 1) (- 1 x))) #s(hole binary64 (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

rewrite42.0ms (0.9%)

Memory

-23.8MiB live, 66.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	1463
0	316	1444
1	782	1444

Stop Event

1×	saturated
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

69 → 70

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 916 to 377 computations (58.8% saved)

prune3.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	65	5	70

Accuracy

100.0%

Counts

70 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.0%	(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
✓	8.0%	(log.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
▶	45.2%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (* x x) 1/3) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) x))
✓	99.2%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)

Compiler

Compiled 65 to 64 computations (1.5% saved)

series23.0ms (0.5%)

Memory

-44.8MiB live, 11.8MiB allocated; 8ms collecting garbage

Counts

11 → 20

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) (pow x 2) x 2 (+ 1/3 (/ 1 (pow x 2))) 1/3 (/ 1 (pow x 2)) 1)
4.0ms	x	@	-inf	((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) (pow x 2) x 2 (+ 1/3 (/ 1 (pow x 2))) 1/3 (/ 1 (pow x 2)) 1)
1.0ms	x	@	0	((* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (* (+ (* (* x x) 1/3) 1) x) (+ (* (* x x) 1/3) 1) (* (pow x 2) (+ 1/3 (/ 1 (pow x 2)))) (pow x 2) x 2 (+ 1/3 (/ 1 (pow x 2))) 1/3 (/ 1 (pow x 2)) 1)

Time

Variable

Point

Expression

17.0ms

inf

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

4.0ms

-inf

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

1.0ms

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

rewrite77.0ms (1.7%)

Memory

19.2MiB live, 113.6MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	476
0	98	427
0	584	408
1	1571	408

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

31 → 57

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 517 to 266 computations (48.5% saved)

prune3.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	49	5	54

Accuracy

100.0%

Counts

54 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.0%	(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
✓	8.0%	(log.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
▶	45.2%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (* x x) 1/3) 1) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64)) (*.f64 x x))) x))
✓	99.2%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)

Compiler

Compiled 64 to 63 computations (1.6% saved)

series5.0ms (0.1%)

Memory

-38.0MiB live, 9.2MiB allocated; 2ms collecting garbage

Counts

10 → 20

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

rewrite96.0ms (2.1%)

Memory

27.5MiB live, 76.5MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	475
0	100	426
0	616	407
1	1627	407

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

30 → 61

Calls

Call 1

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

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

eval4.0ms (0.1%)

Memory: 8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 558 to 291 computations (47.8% saved)

prune4.0ms (0.1%)

Memory

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

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	52	5	57

Accuracy

100.0%

Counts

57 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	8.0%	(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
✓	8.0%	(log.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
✓	99.5%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
	45.2%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) (.f64 #s(approx (+ ( (* x x) 1/3) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x x))) x))
✓	99.2%	#s(approx (* (/ 1 2) (log (/ (+ 1 x) (- 1 x)))) x)

Compiler

Compiled 144 to 116 computations (19.4% saved)

regimes66.0ms (1.4%)

Memory

-23.0MiB live, 24.5MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

60.0ms	x
2.0ms	(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
2.0ms	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
2.0ms	(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
99.5%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
99.5%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.5%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.5%	1	`x`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes4.0ms (0.1%)

Memory

11.1MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.2%	1	`(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))`
99.2%	1	`(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))`
99.2%	1	`(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))`
99.2%	1	`x`

Compiler

Compiled 25 to 21 computations (16% saved)

derivations6.0ms (0.1%)

Memory

12.0MiB live, 11.9MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess22.0ms (0.5%)

Memory: 1.5MiB live, 47.1MiB allocated; 3ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 83 to 75 computations (9.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze4.0ms (0.1%)

sample4.0s (87.2%)

preprocess42.0ms (0.9%)

series4.0ms (0.1%)

rewrite157.0ms (3.4%)

eval8.0ms (0.2%)

prune3.0ms (0.1%)

series9.0ms (0.2%)

rewrite42.0ms (0.9%)

eval6.0ms (0.1%)

prune3.0ms (0.1%)

series23.0ms (0.5%)

rewrite77.0ms (1.7%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

series5.0ms (0.1%)

rewrite96.0ms (2.1%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

regimes66.0ms (1.4%)

regimes4.0ms (0.1%)

derivations6.0ms (0.1%)

preprocess22.0ms (0.5%)

end0.0ms (0%)

Profiling