Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample471.0ms (48.5%)

Memory

18.6MiB live, 725.4MiB allocated; 91ms collecting garbage

Samples

284.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-acosh: 152.0ms (98.9% of total)

adjust: 2.0ms (1.3% of total)

Bogosity

explain107.0ms (11%)

Memory

28.1MiB live, 254.4MiB allocated; 32ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
128	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
0	-	-	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
0	-	-	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`
0	-	-	`(*.f32 x x)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`	oflow-rescue	128	0
↳	`(*.f32 x x)`	overflow	128
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	128

Confusion

	Predicted +	Predicted -
+	128	0
-	0	128

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	0	0	128

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	128
1	128

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

35.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult!: 12.0ms (50.3% of total)

ival-log: 5.0ms (21% of total)

ival-sqrt: 4.0ms (16.8% of total)

ival-sub!: 1.0ms (4.2% of total)

ival-add!: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

preprocess6.0ms (0.6%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series14.0ms (1.5%)

Memory

-20.5MiB live, 24.1MiB allocated; 9ms collecting garbage

Counts

7 → 42

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)))
#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))
#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)))
#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
10.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)
2.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1)

Time

Variable

Point

Expression

10.0ms

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

2.0ms

-inf

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

2.0ms

inf

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

rewrite124.0ms (12.8%)

Memory

-25.4MiB live, 124.6MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	988
0	210	724
0	1179	694

Stop Event

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

Counts

49 → 64

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

eval8.0ms (0.8%)

Memory: 15.7MiB live, 15.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 186 to 316 computations (73.4% saved)

prune2.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Accuracy

100.0%

Counts

69 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.1%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))
▶	97.3%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.4%	(acosh.f32 x)

Status

Accuracy

Program

▶

28.1%

(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))

▶

97.3%

(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))

▶

99.4%

(acosh.f32 x)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series7.0ms (0.7%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

14 → 98

Calls

Call 1

Inputs
(acosh.f32 x)
x
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))
(-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
#s(literal 1 binary32)
(fma.f32 x x #s(literal 1 binary32))

Outputs
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #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 #s(hole binary32 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 (+ 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 (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#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 (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 -1))
#s(approx (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow x 4) 1) #s(hole binary32 -1))
#s(approx (- (pow x 4) 1) #s(hole binary32 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh 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 (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))
#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 (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow x 4) 1) #s(hole binary32 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary32 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (acosh x) #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 (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))))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* 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	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) 1))
2.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) 1))
1.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 1 (+ (* x x) 1))

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite94.0ms (9.7%)

Memory

-25.5MiB live, 116.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	276	2492
0	290	1710
0	1348	1640

Stop Event

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

Counts

112 → 143

Calls

Call 1

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

eval8.0ms (0.8%)

Memory: 20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 945 to 476 computations (75.5% saved)

prune3.0ms (0.3%)

Memory

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

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	105	3	108

Accuracy

100.0%

Counts

108 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.7%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))))
✓	97.3%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.4%	(acosh.f32 x)

Status

Accuracy

Program

▶

26.7%

(log.f32 (+.f32 x (sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))))

✓

97.3%

(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))

✓

99.4%

(acosh.f32 x)

Compiler

Compiled 31 to 24 computations (22.6% saved)

series12.0ms (1.3%)

Memory

-34.4MiB live, 14.7MiB allocated; 8ms collecting garbage

Counts

10 → 50

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))))
(+.f32 x (sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32)))))
x
(sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))
(/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32)))
#s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32)))
(pow.f32 x #s(literal 4 binary32))
#s(literal 4 binary32)
(fma.f32 x x #s(literal 1 binary32))
#s(literal 1 binary32)

Outputs
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 -1))
#s(approx (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (- (pow x 4) 1) #s(hole binary32 -1))
#s(approx (- (pow x 4) 1) #s(hole binary32 (- (pow x 4) 1)))
#s(approx (pow x 4) #s(hole binary32 (pow x 4)))
#s(approx (+ (* x x) 1) #s(hole binary32 1))
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 x))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 (pow x 2)))
#s(approx (/ (- (pow x 4) 1) (+ (* x x) 1)) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (- (pow x 4) 1) #s(hole binary32 (pow x 4)))
#s(approx (- (pow x 4) 1) #s(hole binary32 (* (pow x 4) (- 1 (/ 1 (pow x 4))))))
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* 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 (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (/ (- (pow x 4) 1) (+ (* 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
7.0ms	x	@	-inf	((log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) 1) 1)
1.0ms	x	@	inf	((log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) 1) 1)
1.0ms	x	@	0	((log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) 1) 1)

Time

Variable

Point

Expression

7.0ms

-inf

((log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) 1) 1)

1.0ms

inf

((log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) 1) 1)

1.0ms

((log (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))))) (+ x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1)))) x (sqrt (/ (- (pow x 4) 1) (+ (* x x) 1))) (/ (- (pow x 4) 1) (+ (* x x) 1)) (- (pow x 4) 1) (pow x 4) 4 (+ (* x x) 1) 1)

rewrite84.0ms (8.6%)

Memory

5.1MiB live, 96.7MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1322
0	226	1022
0	1269	992

Stop Event

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

Counts

60 → 77

Calls

Call 1

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

eval6.0ms (0.7%)

Memory: 16.4MiB live, 16.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 080 to 398 computations (80.9% saved)

prune3.0ms (0.3%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Accuracy

100.0%

Counts

85 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	26.7%	(log.f32 (+.f32 x (sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))))
✓	97.3%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.4%	(acosh.f32 x)

Status

Accuracy

Program

✓

26.7%

(log.f32 (+.f32 x (sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))))

✓

97.3%

(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))

✓

99.4%

(acosh.f32 x)

Compiler

Compiled 85 to 55 computations (35.3% saved)

regimes8.0ms (0.8%)

Memory

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

Accuracy

Total -23.7b remaining (-11434.3%)

Threshold costs -23.7b (-11434.3%)

Counts

5 → 1

Calls

Call 1

Inputs
(acosh.f32 x)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 #s(approx (- (pow x 4) 1) (pow.f32 x #s(literal 4 binary32))) (fma.f32 x x #s(literal 1 binary32))))))
(log.f32 (+.f32 x (sqrt.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))))))

Outputs
(acosh.f32 x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.4%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.4%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

derivations3.0ms (0.3%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess10.0ms (1%)

Memory: 24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample471.0ms (48.5%)

explain107.0ms (11%)

preprocess6.0ms (0.6%)

series14.0ms (1.5%)

rewrite124.0ms (12.8%)

eval8.0ms (0.8%)

prune2.0ms (0.2%)

series7.0ms (0.7%)

rewrite94.0ms (9.7%)

eval8.0ms (0.8%)

prune3.0ms (0.3%)

series12.0ms (1.3%)

rewrite84.0ms (8.6%)

eval6.0ms (0.7%)

prune3.0ms (0.3%)

regimes8.0ms (0.8%)

derivations3.0ms (0.3%)

preprocess10.0ms (1%)

end0.0ms (0%)

Profiling