Metrics for Rust f32::acosh

start0.0ms (0%)

Memory: 0.1MiB 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)

sample596.0ms (46.9%)

Memory

26.9MiB live, 353.0MiB allocated; 721ms collecting garbage

Samples

479.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-acosh: 93.0ms (99% of total)

adjust: 1.0ms (1.1% of total)

Bogosity

preprocess59.0ms (4.6%)

Memory

-14.2MiB live, 31.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	16	9
2	47	9
3	89	9
4	200	9
5	969	9

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.5%)

Memory

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

Counts

7 → 39

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (- (+ (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 binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 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 binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* 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 binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -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 binary32 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -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	@	-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	@	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)

Time

Variable

Point

Expression

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

((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)

rewrite101.0ms (8%)

Memory

23.9MiB live, 72.8MiB allocated; 122ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	962
0	206	704
0	1176	674

Stop Event

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

Counts

46 → 61

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (- (+ (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 binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 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 binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* 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 binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -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 binary32 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

Outputs
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))
(/.f32 (-.f32 (.f32 x x) (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))))) (-.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))) (.f32 x (sqrt.f32 (-.f32 (.f32 x x) #s(literal 1 binary32)))))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x)
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(pow.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))
(sinh.f32 (acosh.f32 x))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (+.f32 x #s(literal 1 binary32)) (-.f32 x #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 x x) (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 x x) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 x x) (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1 binary32)))))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(literal 1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 x (fma.f32 (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f32 #s(literal -1 binary32)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x (sqrt.f32 #s(literal -1 binary32))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f32 (fma.f32 x (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1 binary32)) x (sqrt.f32 #s(literal -1 binary32))))
#s(approx x x)
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (/.f32 (*.f32 x x) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 x x) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 x x) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) (.f32 x x) (sqrt.f32 #s(literal -1 binary32))))
#s(approx (- (* x x) 1) #s(literal -1 binary32))
#s(approx (- (* x x) 1) (-.f32 (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* x x) (*.f32 x x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32)) x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
#s(approx (- (* x x) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 x x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (.f32 x x))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (sqrt (- (* x x) 1)) (neg.f32 x))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (*.f32 x x))) #s(literal 1 binary32))))
#s(approx (sqrt (- (* x x) 1)) (.f32 (neg.f32 x) (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x)))))

eval5.0ms (0.4%)

Memory: 8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 665 to 302 computations (54.6% saved)

prune2.0ms (0.2%)

Memory

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

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Accuracy

100.0%

Counts

56 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	94.4%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
▶	97.5%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
▶	99.2%	(acosh.f32 x)
▶	96.6%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Compiler

Compiled 61 to 58 computations (4.9% saved)

series214.0ms (16.9%)

Memory

1.6MiB live, 90.0MiB allocated; 24ms collecting garbage

Counts

30 → 68

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32)))
(neg.f32 (neg.f32 (log.f32 x)))
(neg.f32 (log.f32 x))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)
(acosh.f32 x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
(.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x))))
(/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))
(+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
#s(literal 1/16 binary32)
#s(literal 1/8 binary32)
(.f32 (.f32 x x) (*.f32 x x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(+.f32 x x)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (+ (neg (neg (log x))) (log 2)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (neg (neg (log x))) #s(hole binary32 (log x)))
#s(approx (neg (log x)) #s(hole binary32 (* -1 (log x))))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1/4 (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 (/ 1/16 (pow x 2))))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 2))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (/ 1/2 (* x x)) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (- (+ (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))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (neg (log x)) #s(hole binary32 (log (/ 1 x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 2))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) #s(hole binary32 (/ -1/8 (pow x 4))))
#s(approx (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) #s(hole binary32 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 1/8))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 (+ 1/8 (* 1/16 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (neg (neg (log x))) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (neg (log x)) #s(hole binary32 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
177.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (+ (/ 1/16 (* x x)) 1/8) (/ 1/16 (* x x)) 1/16 1/8 (* (* x x) (* x x)) (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))
20.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (+ (/ 1/16 (* x x)) 1/8) (/ 1/16 (* x x)) 1/16 1/8 (* (* x x) (* x x)) (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))
15.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (+ (/ 1/16 (* x x)) 1/8) (/ 1/16 (* x x)) 1/16 1/8 (* (* x x) (* x x)) (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

Time

Variable

Point

Expression

177.0ms

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (+ (/ 1/16 (* x x)) 1/8) (/ 1/16 (* x x)) 1/16 1/8 (* (* x x) (* x x)) (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

20.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (+ (/ 1/16 (* x x)) 1/8) (/ 1/16 (* x x)) 1/16 1/8 (* (* x x) (* x x)) (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

15.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (/ 1/4 (* x x)) 1/4 (* x x) (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (+ (/ 1/16 (* x x)) 1/8) (/ 1/16 (* x x)) 1/16 1/8 (* (* x x) (* x x)) (/ 1/2 (* x x)) 1/2 (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (+ x x))

rewrite69.0ms (5.5%)

Memory

7.8MiB live, 53.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	304	2055
0	340	1635
0	1703	1569

Stop Event

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

Counts

98 → 190

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32)))
(neg.f32 (neg.f32 (log.f32 x)))
(neg.f32 (log.f32 x))
(log.f32 x)
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)
(acosh.f32 x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
(.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
(-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))
(+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x))))
(/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))
(+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32))
(/.f32 #s(literal 1/16 binary32) (*.f32 x x))
#s(literal 1/16 binary32)
#s(literal 1/8 binary32)
(.f32 (.f32 x x) (*.f32 x x))
(/.f32 #s(literal 1/2 binary32) (*.f32 x x))
#s(literal 1/2 binary32)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x))
(+.f32 x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (+ (neg (neg (log x))) (log 2)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (neg (neg (log x))) #s(hole binary32 (log x)))
#s(approx (neg (log x)) #s(hole binary32 (* -1 (log x))))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1/4 (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ -1/16 (pow x 5))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ -1/16 (pow x 6))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 6))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 6))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) #s(hole binary32 (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ 1/16 (pow x 6))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 6))))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 (/ 1/16 (pow x 2))))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 (/ (+ 1/16 (* 1/8 (pow x 2))) (pow x 2))))
#s(approx (* (* x x) (* x x)) #s(hole binary32 (pow x 4)))
#s(approx (/ 1/2 (* x x)) #s(hole binary32 (/ 1/2 (pow x 2))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (- (+ (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))) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (neg (log x)) #s(hole binary32 (log (/ 1 x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 2))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (- 2 (* 1/2 (/ 1 (pow x 2))))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) #s(hole binary32 (- 2 (* 1/8 (/ 1 (pow x 4))))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))))
#s(approx (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) #s(hole binary32 (/ -1/8 (pow x 4))))
#s(approx (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) #s(hole binary32 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ 1/8 (pow x 4))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) #s(hole binary32 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 1/8))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(hole binary32 (+ 1/8 (* 1/16 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (neg (neg (log x))) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#s(approx (neg (log x)) #s(hole binary32 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) #s(hole binary32 (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+.f32 (log.f32 (+.f32 x x)) (.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (-.f32 (log.f32 x) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(+.f32 (log.f32 x) (-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(log.f32 (+.f32 x x))
(/.f32 (-.f32 (.f32 (log.f32 x) (log.f32 x)) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)))) (-.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (log.f32 x) (log.f32 x))) (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 3 binary32)) (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (log.f32 x) (log.f32 x) (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (.f32 (log.f32 x) (log.f32 x)) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(-.f32 (log.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (log.f32 x))))
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(log.f32 x)
(*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)))
(neg.f32 (neg.f32 (log.f32 x)))
(log.f32 (/.f32 #s(literal 1 binary32) x))
(*.f32 (log.f32 x) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (log.f32 x))
(-.f32 #s(literal 0 binary32) (log.f32 x))
(neg.f32 (log.f32 x))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -1 binary32)))
(log.f32 x)
(*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)))
(neg.f32 (neg.f32 (log.f32 x)))
x
(log.f32 #s(literal 2 binary32))
#s(literal 2 binary32)
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) x))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x))
(.f32 (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)
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#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) #s(literal 2 binary32))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 x x)) #s(literal 1/2 binary32)) (.f32 x x))) #s(literal 2 binary32)))
#s(approx (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) (-.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 x x) x) x))))
#s(approx (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) #s(literal 2 binary32)))
#s(approx (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/.f32 #s(literal -1/8 binary32) (.f32 (.f32 (*.f32 x x) x) x)))
#s(approx (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (*.f32 x x) x) x)))
#s(approx (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x))) (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 (.f32 x x) x) x)))
#s(approx (+ (/ 1/16 (* x x)) 1/8) #s(literal 1/8 binary32))
#s(approx (+ (/ 1/16 (* x x)) 1/8) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (.f32 x x) x) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (.f32 x x) x) x)) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
#s(approx (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))))
#s(approx (- (+ (neg (neg (log x))) (log 2)) (/ 1/4 (* x x))) (-.f32 (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (neg (neg (log x))) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))))
#s(approx (neg (log x)) (neg.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32)))))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 #s(literal 1/2 binary32) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) x))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 x x))) #s(literal 1/2 binary32)) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/128 binary32) (.f32 x x)) #s(literal 1/16 binary32)) (.f32 (.f32 (.f32 x x) x) x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (neg.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 x x)) #s(literal 2 binary32)) x)))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (neg.f32 (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 2 binary32)) x)))
#s(approx (* (- (+ (neg (/ (+ (/ 1/16 (* x x)) 1/8) (* (* x x) (* x x)))) 2) (/ 1/2 (* x x))) x) (neg.f32 (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (.f32 (.f32 x x) x) x)) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) #s(literal 2 binary32)) x)))

eval28.0ms (2.2%)

Memory: -15.2MiB live, 32.5MiB allocated; 20ms collecting garbage
Compiler: Compiled 2 474 to 1 050 computations (57.6% saved)

prune5.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	171	5	176

Accuracy

100.0%

Counts

176 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	94.4%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.2%	(acosh.f32 x)
▶	97.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
▶	96.0%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Compiler

Compiled 57 to 55 computations (3.5% saved)

series55.0ms (4.3%)

Memory

-0.3MiB live, 87.4MiB allocated; 12ms collecting garbage

Counts

19 → 44

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(log.f32 (+.f32 x x))
(+.f32 x x)
x
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x))))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x))
(+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32))
(/.f32 #s(literal 5/96 binary32) (*.f32 x x))
#s(literal 5/96 binary32)
#s(literal 3/32 binary32)
(.f32 (.f32 (*.f32 x x) x) x)
(.f32 (.f32 x x) x)

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (log (+ x x)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1/4 (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ -5/96 (pow x 6))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 (/ 5/96 (pow x 2))))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 2))))
#s(approx (* (* (* x x) x) x) #s(hole binary32 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary32 (pow x 3)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (- (+ (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 x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) #s(hole binary32 (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 3/32))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 (+ 3/32 (* 5/96 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (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 x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))

Calls

3 calls:

Time	Variable		Point	Expression
32.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) x (/ 1/4 (* x x)) 1/4 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (+ (/ 5/96 (* x x)) 3/32) (/ 5/96 (* x x)) 5/96 3/32 (* (* (* x x) x) x) (* (* x x) x))
13.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) x (/ 1/4 (* x x)) 1/4 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (+ (/ 5/96 (* x x)) 3/32) (/ 5/96 (* x x)) 5/96 3/32 (* (* (* x x) x) x) (* (* x x) x))
9.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) x (/ 1/4 (* x x)) 1/4 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (+ (/ 5/96 (* x x)) 3/32) (/ 5/96 (* x x)) 5/96 3/32 (* (* (* x x) x) x) (* (* x x) x))

Time

Variable

Point

Expression

32.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) x (/ 1/4 (* x x)) 1/4 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (+ (/ 5/96 (* x x)) 3/32) (/ 5/96 (* x x)) 5/96 3/32 (* (* (* x x) x) x) (* (* x x) x))

13.0ms

((log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) x (/ 1/4 (* x x)) 1/4 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (+ (/ 5/96 (* x x)) 3/32) (/ 5/96 (* x x)) 5/96 3/32 (* (* (* x x) x) x) (* (* x x) x))

9.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (- (log (+ x x)) (/ 1/4 (* x x))) (log (+ x x)) (+ x x) x (/ 1/4 (* x x)) 1/4 (* x x) (log (+ x (sqrt (- (* x x) 1)))) (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (+ (/ 5/96 (* x x)) 3/32) (/ 5/96 (* x x)) 5/96 3/32 (* (* (* x x) x) x) (* (* x x) x))

rewrite51.0ms (4%)

Memory

-5.4MiB live, 39.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	1390
0	229	1116
0	1170	1065

Stop Event

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

Counts

63 → 121

Calls

Call 1

Inputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(log.f32 (+.f32 x x))
(+.f32 x x)
x
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 x x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(-.f32 (+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x))))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x))
(+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32))
(/.f32 #s(literal 5/96 binary32) (*.f32 x x))
#s(literal 5/96 binary32)
#s(literal 3/32 binary32)
(.f32 (.f32 (*.f32 x x) x) x)
(.f32 (.f32 x x) x)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (+ (log 2) (log x))) 1/4) (pow x 2))))
#s(approx (log (+ x x)) #s(hole binary32 (+ (log 2) (log x))))
#s(approx (+ x x) #s(hole binary32 (* 2 x)))
#s(approx x #s(hole binary32 x))
#s(approx (/ 1/4 (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ -5/96 (pow x 6))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* -3/32 (pow x 2)) 5/96) (pow x 6))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* -1/4 (pow x 2)) 3/32)) 5/96) (pow x 6))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32)) 5/96) (pow x 6))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 4) (+ (log 2) (log x))) 3/32)) 5/96) (pow x 6))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ 5/96 (pow x 6))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 6))))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 (/ 5/96 (pow x 2))))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 (/ (+ 5/96 (* 3/32 (pow x 2))) (pow x 2))))
#s(approx (* (* (* x x) x) x) #s(hole binary32 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary32 (pow x 3)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (- (+ (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 x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))
#s(approx (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) #s(hole binary32 (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) #s(hole binary32 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 3/32))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(hole binary32 (+ 3/32 (* 5/96 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -2) (* -1 (log (/ -1 x))))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) #s(hole binary32 (- (+ (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 x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 3/32 (/ 1 (pow x 4))))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) #s(hole binary32 (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4)))))))

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 (log.f32 (+.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(log.f32 (+.f32 x x))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (log.f32 x) (log.f32 x))) (-.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (.f32 (log.f32 x) (log.f32 x)) (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)))))
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 x x) (.f32 x x)) (-.f32 x x))
(/.f32 (fma.f32 (.f32 x x) x (.f32 (.f32 x x) x)) (fma.f32 x x (-.f32 (.f32 x x) (*.f32 x x))))
(+.f32 x x)
x
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 1/4 binary32))
(.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (/.f32 #s(literal 1/4 binary32) x) x)
(/.f32 #s(literal -1/4 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 1/4 binary32) (*.f32 x x))
#s(literal 1/4 binary32)
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32)))
(*.f32 (fabs.f32 x) (fabs.f32 x))
(*.f32 (neg.f32 x) (neg.f32 x))
(*.f32 x x)
(pow.f32 x #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))))) (.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)))) (+.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) #s(literal 3 binary32))) (fma.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))))
(-.f32 (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (log.f32 (+.f32 x x)) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(/.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 (+.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) #s(literal 3 binary32))) (fma.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x)) (-.f32 (.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)) #s(literal -1 binary32) (log.f32 (+.f32 x x)))
(fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)) (log.f32 (+.f32 x x)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))) (log.f32 (+.f32 x x)))
(+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))))
(.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (*.f32 x x) x) x)) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (*.f32 x x) x) x)))
(/.f32 (.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32))) (.f32 (.f32 (*.f32 x x) x) x))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32))) (.f32 (.f32 (.f32 x x) x) x))
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (*.f32 x x) x)) x)
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32))) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))
(/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) x) x)) #s(literal 3/32 binary32) (/.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (.f32 (.f32 (*.f32 x x) x) x)))
(fma.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 x x) x) x)) (/.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (.f32 (.f32 (*.f32 x x) x) x)))
(+.f32 (/.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (.f32 (.f32 (.f32 x x) x) x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (*.f32 x x) x) x)))
(+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (.f32 x x) x) x)) (/.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (.f32 (.f32 (*.f32 x x) x) x)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) #s(literal 9/1024 binary32)) (-.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)))
(/.f32 (-.f32 #s(literal 9/1024 binary32) (.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (/.f32 #s(literal 5/96 binary32) (.f32 x x)))) (-.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3 binary32)) #s(literal 27/32768 binary32)) (fma.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (-.f32 #s(literal 9/1024 binary32) (.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)))))
(/.f32 (+.f32 #s(literal 27/32768 binary32) (pow.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3 binary32))) (+.f32 #s(literal 9/1024 binary32) (-.f32 (.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) (/.f32 #s(literal 5/96 binary32) (.f32 x x))) (.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (.f32 x x))))))
(-.f32 #s(literal 3/32 binary32) (.f32 #s(literal -5/96 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 5/96 binary32) #s(literal 3/32 binary32))
(fma.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/32 binary32))
(+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32))
(+.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 5/96 binary32) (*.f32 x x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 5/96 binary32))
(.f32 #s(literal 5/96 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (/.f32 #s(literal 5/96 binary32) x) x)
(/.f32 #s(literal -5/96 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 5/96 binary32) (*.f32 x x))
#s(literal 5/96 binary32)
#s(literal 3/32 binary32)
(.f32 (.f32 (*.f32 x x) x) x)
(.f32 (.f32 x x) (*.f32 x x))
(.f32 x (.f32 (*.f32 x x) x))
(pow.f32 x #s(literal 4 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 4 binary32)))
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32)))
(.f32 (.f32 x x) x)
(.f32 x (.f32 x x))
(pow.f32 x #s(literal 3 binary32))
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 x (fma.f32 (/.f32 (.f32 x x) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (.f32 #s(literal 3/40 binary32) (.f32 x x)) (pow.f32 #s(literal -1 binary32) #s(literal 5/2 binary32))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 x x) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) x (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) (/.f32 (-.f32 (.f32 (.f32 x x) (log.f32 (+.f32 x x))) #s(literal 1/4 binary32)) (*.f32 x x)))
#s(approx (log (+ x x)) (log.f32 (+.f32 x x)))
#s(approx (+ x x) (+.f32 x x))
#s(approx x x)
#s(approx (/ 1/4 (* x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (/.f32 #s(literal -5/96 binary32) (.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (/.f32 (-.f32 (.f32 #s(literal -3/32 binary32) (.f32 x x)) #s(literal 5/96 binary32)) (.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 x x)) #s(literal 5/96 binary32)) (.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 (.f32 x x) (log.f32 (+.f32 x x))) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 x x)) #s(literal 5/96 binary32)) (.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 x x) x) x) (log.f32 (+.f32 x x))) #s(literal 3/32 binary32)) (.f32 x x)) #s(literal 5/96 binary32)) (.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (/.f32 #s(literal 5/96 binary32) (.f32 (.f32 (.f32 x x) x) (.f32 (*.f32 x x) x))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (/.f32 (fma.f32 (.f32 x x) #s(literal 3/32 binary32) #s(literal 5/96 binary32)) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x))))
#s(approx (+ (/ 5/96 (* x x)) 3/32) (/.f32 #s(literal 5/96 binary32) (*.f32 x x)))
#s(approx (+ (/ 5/96 (* x x)) 3/32) (/.f32 (fma.f32 (.f32 x x) #s(literal 3/32 binary32) #s(literal 5/96 binary32)) (.f32 x x)))
#s(approx (* (* (* x x) x) x) (.f32 (.f32 (*.f32 x x) x) x))
#s(approx (* (* x x) x) (.f32 (.f32 x x) x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (*.f32 x x) x) x))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (log.f32 #s(literal 2 binary32))))
#s(approx (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 (*.f32 x x) x) x)))
#s(approx (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x))))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (*.f32 x x) x) x)))
#s(approx (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))
#s(approx (+ (/ 5/96 (* x x)) 3/32) #s(literal 3/32 binary32))
#s(approx (+ (/ 5/96 (* x x)) 3/32) (+.f32 (/.f32 #s(literal 5/96 binary32) (*.f32 x x)) #s(literal 3/32 binary32)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (.f32 x x) x) x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 (.f32 (.f32 x x) x) (.f32 (.f32 x x) x))) (/.f32 #s(literal 1/4 binary32) (.f32 x x))) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (.f32 x x) x) x)))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))))
#s(approx (- (log (+ x x)) (/ 1/4 (* x x))) (-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
#s(approx (- (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (/ 1/4 (* x x))) (-.f32 (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 (*.f32 x x) x) x))))
#s(approx (+ (log (+ x x)) (neg (/ (+ (/ 5/96 (* x x)) 3/32) (* (* (* x x) x) x)))) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (neg.f32 (.f32 (.f32 (.f32 x x) x) x)))))

eval9.0ms (0.7%)

Memory: 11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 848 to 706 computations (61.8% saved)

prune5.0ms (0.4%)

Memory

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

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	127	5	132

Accuracy

100.0%

Counts

132 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.5%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	94.4%	(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
✓	99.2%	(acosh.f32 x)
✓	97.3%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
✓	96.0%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))

Compiler

Compiled 144 to 110 computations (23.6% saved)

regimes7.0ms (0.5%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Accuracy

Total -17.3b remaining (-7155.4%)

Threshold costs -17.3b (-7155.4%)

Counts

7 → 1

Calls

Call 1

Inputs
(acosh.f32 x)
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (+.f32 x x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f32 (+.f32 (log.f32 (+.f32 x x)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 5/96 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 (.f32 x x) x) x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
(log.f32 #s(approx (+ x (sqrt (- (* x x) 1))) (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (.f32 x x)) #s(literal 1/8 binary32)) (.f32 (.f32 x x) (.f32 x x)))) #s(literal 2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 x x))) x)))

Outputs
(acosh.f32 x)

Calls

3 calls:

2.0ms	x
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
2.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.2%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.2%	1	`x`

Compiler

Compiled 14 to 14 computations (0% saved)

derivations46.0ms (3.6%)

Memory

-52.7MiB live, 2.3MiB allocated; 13ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess10.0ms (0.8%)

Memory: 16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 19 to 18 computations (5.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample596.0ms (46.9%)

preprocess59.0ms (4.6%)

series6.0ms (0.5%)

rewrite101.0ms (8%)

eval5.0ms (0.4%)

prune2.0ms (0.2%)

series214.0ms (16.9%)

rewrite69.0ms (5.5%)

eval28.0ms (2.2%)

prune5.0ms (0.4%)

series55.0ms (4.3%)

rewrite51.0ms (4%)

eval9.0ms (0.7%)

prune5.0ms (0.4%)

regimes7.0ms (0.5%)

derivations46.0ms (3.6%)

preprocess10.0ms (0.8%)

end0.0ms (0%)

Profiling