Metrics for Rust f64::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample558.0ms (37.8%)

Memory

-4.1MiB live, 536.9MiB allocated; 247ms collecting garbage

Samples

278.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-acosh: 134.0ms (98.9% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

preprocess80.0ms (5.5%)

Memory

-13.5MiB live, 32.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	16	9
2	63	9
3	162	9
4	455	9
5	2320	9

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.4%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

7 → 39

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

2.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

2.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

rewrite108.0ms (7.3%)

Memory

22.5MiB live, 75.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	962
0	206	704
0	1439	669
1	3848	669

Stop Event

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

Counts

46 → 68

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary64 -1))
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

Outputs
(acosh.f64 x)
(log.f64 (fabs.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
x
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (*.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))
#s(literal 1 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 x x) (sqrt.f64 #s(literal -1 binary64))))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (- (* x x) 1) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f64 x))
#s(approx (sqrt (- (* x x) 1)) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
#s(approx (sqrt (- (* x x) 1)) (.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64))))
#s(approx (sqrt (- (* x x) 1)) (.f64 (neg.f64 x) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))

eval10.0ms (0.7%)

Memory: -30.2MiB live, 13.9MiB allocated; 5ms collecting garbage
Compiler: Compiled 685 to 327 computations (52.3% saved)

prune2.0ms (0.1%)

Memory

5.2MiB live, 5.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	3	65

Accuracy

100.0%

Counts

65 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
▶	99.7%	(acosh.f64 x)
▶	99.5%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))

Status

Accuracy

Program

▶

99.5%

(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))

▶

99.7%

(acosh.f64 x)

▶

99.5%

#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))

Compiler

Compiled 29 to 29 computations (0% saved)

series108.0ms (7.3%)

Memory

1.0MiB live, 92.5MiB allocated; 8ms collecting garbage

Counts

16 → 40

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x x)
(acosh.f64 x)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))
(+.f64 x x)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))))
#s(approx (neg (neg (log x))) #s(hole binary64 (log x)))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/4 (* x x)) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
70.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (log 2) 2 (- (neg (neg (log x))) (/ 1/4 (* x x))) (neg (neg (log x))) (neg (log x)) (log x) x (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))
28.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (log 2) 2 (- (neg (neg (log x))) (/ 1/4 (* x x))) (neg (neg (log x))) (neg (log x)) (log x) x (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))
9.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (log 2) 2 (- (neg (neg (log x))) (/ 1/4 (* x x))) (neg (neg (log x))) (neg (log x)) (log x) x (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

Time

Variable

Point

Expression

70.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (log 2) 2 (- (neg (neg (log x))) (/ 1/4 (* x x))) (neg (neg (log x))) (neg (log x)) (log x) x (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

28.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (log 2) 2 (- (neg (neg (log x))) (/ 1/4 (* x x))) (neg (neg (log x))) (neg (log x)) (log x) x (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

9.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (log 2) 2 (- (neg (neg (log x))) (/ 1/4 (* x x))) (neg (neg (log x))) (neg (log x)) (log x) x (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

rewrite163.0ms (11.1%)

Memory

30.7MiB live, 83.7MiB allocated; 110ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	992
0	225	728
0	1549	707
1	3900	707

Stop Event

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

Counts

56 → 109

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(neg.f64 (neg.f64 (log.f64 x)))
(neg.f64 (log.f64 x))
(log.f64 x)
x
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
(*.f64 x x)
(acosh.f64 x)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))
(+.f64 x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (/ (- (* (pow x 2) (log x)) 1/4) (pow x 2))))
#s(approx (neg (neg (log x))) #s(hole binary64 (log x)))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (log x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1/4 (* x x)) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (* -1 (log (/ 1 x)))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (- (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (neg (log x)) #s(hole binary64 (log (/ 1 x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -1) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (neg (log x)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))) (-.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (+.f64 x x)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)))
(neg.f64 (+.f64 (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(+.f64 (log.f64 x) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 (fabs.f64 x))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(log.f64 x)
(*.f64 (log.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log.f64 x))
(neg.f64 (log.f64 x))
(log.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 (fabs.f64 x))
(log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(log.f64 x)
x
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))
#s(literal 1/4 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))
(acosh.f64 x)
(log.f64 (fabs.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))
(log.f64 (fabs.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))))
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(-.f64 x (neg.f64 x))
(+.f64 x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (fma.f64 (log.f64 (+.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) (/.f64 (fma.f64 (log.f64 x) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)))
#s(approx (neg (neg (log x))) (log.f64 x))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx x x)
#s(approx (/ 1/4 (* x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64))))
#s(approx (+ x x) (+.f64 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (+.f64 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (+.f64 x x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) (log.f64 x))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (neg (log x)) (neg.f64 (log.f64 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 0 binary64)))
#s(approx (- (neg (neg (log x))) (/ 1/4 (* x x))) (+.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
#s(approx (neg (log x)) (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 0 binary64))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x x)) #s(literal 1/8 binary64)) (.f64 x x))) #s(literal 1/2 binary64)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (.f64 x x)) #s(literal 1/16 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))

eval12.0ms (0.8%)

Memory: -17.4MiB live, 29.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 942 to 443 computations (53% saved)

prune3.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	90	4	94

Accuracy

100.0%

Counts

94 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)
▶	99.8%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
▶	2.7%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))

Compiler

Compiled 47 to 46 computations (2.1% saved)

series90.0ms (6.1%)

Memory

4.3MiB live, 143.4MiB allocated; 54ms collecting garbage

Counts

12 → 23

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
#s(literal -1/4 binary64)
(*.f64 x x)
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(log.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x x)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 1/4 (* x x)) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
48.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) (/ 1/4 (* x x)) 1/4)
24.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) (/ 1/4 (* x x)) 1/4)
18.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) (/ 1/4 (* x x)) 1/4)

Time

Variable

Point

Expression

48.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) (/ 1/4 (* x x)) 1/4)

24.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) (/ 1/4 (* x x)) 1/4)

18.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ -1/4 (* x x)) -1/4 (* x x) x (log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) (/ 1/4 (* x x)) 1/4)

rewrite61.0ms (4.1%)

Memory

0.2MiB live, 46.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	139	637
0	148	462
0	1068	453
1	2519	453

Stop Event

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

Counts

35 → 74

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
#s(literal -1/4 binary64)
(*.f64 x x)
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(log.f64 (+.f64 x x))
(+.f64 x x)
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
#s(literal 1/4 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x x)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (+ x x) #s(hole binary64 (* 2 x)))
#s(approx (/ 1/4 (* x x)) #s(hole binary64 (/ 1/4 (pow x 2))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary64 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal -1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/4 binary64)))
#s(literal -1/4 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(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64))) (.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))) (-.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64)) (-.f64 (.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(neg.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (+.f64 x x))))
(-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (+.f64 x x)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+.f64 (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64))) (.f64 (log.f64 x) (log.f64 x))) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64)) (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 x))
(log.f64 (fabs.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 x x) (.f64 x x))))
(-.f64 x (neg.f64 x))
(+.f64 x x)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))
(.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (/.f64 #s(literal 1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (fma.f64 (log.f64 (+.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 x x)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (log (+ x x)) (log.f64 (+.f64 x x)))
#s(approx (+ x x) (+.f64 x x))
#s(approx (/ 1/4 (* x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (+.f64 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (+.f64 x x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -2 binary64))) #s(literal 0 binary64)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -2 binary64))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))

eval6.0ms (0.4%)

Memory: 6.9MiB live, 6.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 673 to 323 computations (52% saved)

prune3.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	67	5	72

Accuracy

100.0%

Counts

72 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)
✓	99.8%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
▶	2.7%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x)))
✓	2.7%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))

Compiler

Compiled 69 to 67 computations (2.9% saved)

series80.0ms (5.4%)

Memory

-27.4MiB live, 18.9MiB allocated; 4ms collecting garbage

Counts

6 → 18

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x))
(/.f64 (/.f64 #s(literal -1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (/ -1/4 x) #s(hole binary64 (/ -1/4 x)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))

Calls

3 calls:

Time	Variable		Point	Expression
72.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x)
4.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x)
3.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x)

Time

Variable

Point

Expression

72.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x)

4.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x)

3.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/ (/ -1/4 x) x) (/ -1/4 x) -1/4 x)

rewrite52.0ms (3.6%)

Memory

7.8MiB live, 51.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	518
0	123	355
0	976	346
1	2397	346

Stop Event

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

Counts

24 → 34

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x))
(/.f64 (/.f64 #s(literal -1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ -1/4 (pow x 2))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (/ -1/4 x) #s(hole binary64 (/ -1/4 x)))
#s(approx x #s(hole binary64 x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) #s(hole binary64 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal -1/4 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1/4 binary64) x) x)
(/.f64 #s(literal -1/4 binary64) (*.f64 x x))
(/.f64 #s(literal 1/4 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/4 binary64) x)))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1/4 binary64) x)
(/.f64 #s(literal 1/4 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/4 binary64)))
#s(literal -1/4 binary64)
x
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 3/40 binary64) (.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64)))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (fma.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x)))
#s(approx (/ -1/4 x) (/.f64 #s(literal -1/4 binary64) x))
#s(approx x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (.f64 x x)) #s(literal 3/32 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
#s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (-.f64 (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))

eval2.0ms (0.2%)

Memory: 3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 309 to 153 computations (50.5% saved)

prune3.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	26	5	31

Accuracy

100.0%

Counts

31 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
✓	99.7%	(acosh.f64 x)
✓	99.8%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
✓	2.7%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x)))
✓	2.7%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))

Compiler

Compiled 131 to 114 computations (13% saved)

regimes8.0ms (0.5%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x)))
(acosh.f64 x)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))

Calls

3 calls:

3.0ms	x
2.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
2.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.8%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.8%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes6.0ms (0.4%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x)))
(acosh.f64 x)
(log.f64 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs
(acosh.f64 x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
99.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.7%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

regimes63.0ms (4.3%)

Memory

-41.1MiB live, 10.0MiB allocated; 12ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))

#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 (/.f64 #s(literal -1/4 binary64) x) x)))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(approx (+ (log 2) (- (neg (neg (log x))) (/ 1/4 (* x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))

Calls

3 calls:

60.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
1.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
1.0ms	x

Results

Accuracy	Segments	Branch
2.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`
2.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
2.7%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

derivations16.0ms (1.1%)

Memory

27.0MiB live, 27.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 28 computations (20% saved)

preprocess34.0ms (2.3%)

Memory: -16.1MiB live, 73.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 52 to 44 computations (15.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample558.0ms (37.8%)

preprocess80.0ms (5.5%)

series6.0ms (0.4%)

rewrite108.0ms (7.3%)

eval10.0ms (0.7%)

prune2.0ms (0.1%)

series108.0ms (7.3%)

rewrite163.0ms (11.1%)

eval12.0ms (0.8%)

prune3.0ms (0.2%)

series90.0ms (6.1%)

rewrite61.0ms (4.1%)

eval6.0ms (0.4%)

prune3.0ms (0.2%)

series80.0ms (5.4%)

rewrite52.0ms (3.6%)

eval2.0ms (0.2%)

prune3.0ms (0.2%)

regimes8.0ms (0.5%)

regimes6.0ms (0.4%)

regimes63.0ms (4.3%)

derivations16.0ms (1.1%)

preprocess34.0ms (2.3%)

end0.0ms (0%)

Profiling