Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample630.0ms (47.4%)

Memory

20.4MiB live, 461.0MiB allocated; 690ms collecting garbage

Samples

513.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-acosh: 94.0ms (98.5% of total)

adjust: 1.0ms (1% of total)

Bogosity

explain86.0ms (6.5%)

Memory

-9.9MiB live, 130.4MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
133	-	-	`(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))`
2	-	-	`(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	133	0
↳	`(*.f32 x x)`	overflow	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133
`log.f32`	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`	oflow-rescue	2	0
↳	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`	overflow	2
↳	`(*.f32 x x)`	overflow	133
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	133

Confusion

	Predicted +	Predicted -
+	133	0
-	0	123

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	133	0	0
-	0	0	123

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	123
1	131
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-log: 5.0ms (35% of total)

ival-sqrt: 4.0ms (28% of total)

ival-mult!: 3.0ms (21% of total)

ival-sub!: 1.0ms (7% of total)

ival-add!: 1.0ms (7% of total)

adjust: 0.0ms (0% of total)

preprocess6.0ms (0.5%)

Memory

9.2MiB live, 9.2MiB 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
▶	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series6.0ms (0.4%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms 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
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)

rewrite68.0ms (5.2%)

Memory

8.0MiB live, 53.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	988
0	209	724
0	1178	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 (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 (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 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)) (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) (.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)) 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 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: 9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 212 to 319 computations (73.7% saved)

prune2.0ms (0.2%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Accuracy

100.0%

Counts

60 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	97.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.1%	(acosh.f32 x)
▶	98.5%	#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)))))

Compiler

Compiled 52 to 39 computations (25% saved)

series92.0ms (6.9%)

Memory

-11.8MiB live, 125.7MiB allocated; 32ms collecting garbage

Counts

20 → 84

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))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
(+.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))))
(+.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)
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))
(/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x))
(+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32))
(/.f32 #s(literal 3/32 binary32) (*.f32 x x))
#s(literal 3/32 binary32)
(*.f32 x x)
#s(literal 1/4 binary32)
(acosh.f32 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)

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)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#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 (log x) #s(hole binary32 (log x)))
#s(approx x #s(hole binary32 x))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 (/ 3/32 (pow x 2))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 2))))
#s(approx (/ 3/32 (* x x)) #s(hole binary32 (/ 3/32 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#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 (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 (- (* 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))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* 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 (+ (neg (neg (log x))) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#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 (log x) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 1/4))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 (+ 1/4 (* 3/32 (/ 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 (+ 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 (- (* 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)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 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))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (+ (neg (neg (log x))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#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 (log x) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#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 (+ 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
55.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
22.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))
13.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

Time

Variable

Point

Expression

55.0ms

((log (+ x (sqrt (- (* x x) 1)))) (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

22.0ms

-inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

13.0ms

inf

((log (+ x (sqrt (- (* x x) 1)))) (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+ (neg (neg (log x))) (log 2)) (neg (neg (log x))) (neg (log x)) (log x) x (log 2) 2 (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (acosh x) (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)))

rewrite75.0ms (5.6%)

Memory

-17.3MiB live, 78.7MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	2025
0	313	1591
0	1588	1521

Stop Event

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

Counts

104 → 170

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))) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))))
(+.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))))
(+.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)
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))
(/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x))
(+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32))
(/.f32 #s(literal 3/32 binary32) (*.f32 x x))
#s(literal 3/32 binary32)
(*.f32 x x)
#s(literal 1/4 binary32)
(acosh.f32 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)
#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)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (/ (- (* (pow x 2) (- (* (pow x 2) (+ (log 2) (log x))) 1/4)) 3/32) (pow x 4))))
#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 (log x) #s(hole binary32 (log x)))
#s(approx x #s(hole binary32 x))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (/ -3/32 (pow x 4))))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (/ (- (* -1/4 (pow x 2)) 3/32) (pow x 4))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ 3/32 (pow x 4))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 4))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 (/ 3/32 (pow x 2))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 (/ (+ 3/32 (* 1/4 (pow x 2))) (pow x 2))))
#s(approx (/ 3/32 (* x x)) #s(hole binary32 (/ 3/32 (pow x 2))))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#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 (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 (- (* 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))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* 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 (+ (neg (neg (log x))) (log 2)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#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 (log x) #s(hole binary32 (* -1 (log (/ 1 x)))))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (/ -1/4 (pow x 2))))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) #s(hole binary32 (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ 1/4 (pow x 2))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) #s(hole binary32 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 1/4))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(hole binary32 (+ 1/4 (* 3/32 (/ 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 (+ 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 (- (* 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)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 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))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) #s(hole binary32 (+ (log -1) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (+ (neg (neg (log x))) (log 2)) #s(hole binary32 (+ (log -1) (+ (log 2) (* -1 (log (/ -1 x)))))))
#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 (log x) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))
#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 (+ 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
#s(approx (acosh x) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))
(/.f32 (-.f32 (.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32))) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x)))) (-.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x))))
(/.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))
(/.f32 (+.f32 (pow.f32 (log.f32 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x)) #s(literal 3 binary32))) (fma.f32 (log.f32 #s(literal 2 binary32)) (log.f32 #s(literal 2 binary32)) (-.f32 (.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x))) (.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x))))))
(/.f32 (+.f32 (pow.f32 (log.f32 (+.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 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 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))) (.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal -1 binary32) (log.f32 (+.f32 x x)))
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))
(fma.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (log.f32 x)) (/.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)))
(fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (log.f32 (+.f32 x x)))
(fma.f32 #s(literal -1 binary32) (neg.f32 (log.f32 x)) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x)) (log.f32 #s(literal 2 binary32)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 (+.f32 x x)))
(+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))))
(+.f32 (log.f32 #s(literal 2 binary32)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))) (log.f32 x)))
(+.f32 (log.f32 x) (+.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.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 (.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 (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 (+.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 (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 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)))
(/.f32 (.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32))) (.f32 x x))
(/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))
(/.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)) x) x)
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32))) (neg.f32 (.f32 x x)))
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(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (*.f32 x x)))
(+.f32 (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
(+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (*.f32 x x)))
(/.f32 (-.f32 #s(literal 1/16 binary32) (.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x)))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) #s(literal 1/16 binary32)) (-.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)))
(/.f32 (+.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 3 binary32))) (+.f32 #s(literal 1/16 binary32) (-.f32 (.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 3 binary32)) #s(literal 1/64 binary32)) (fma.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (-.f32 #s(literal 1/16 binary32) (.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)))))
(-.f32 #s(literal 1/4 binary32) (.f32 #s(literal -3/32 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/32 binary32) #s(literal 1/4 binary32))
(fma.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/4 binary32))
(+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32))
(+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (*.f32 x x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 3/32 binary32))
(.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (/.f32 #s(literal 3/32 binary32) x) x)
(/.f32 #s(literal -3/32 binary32) (neg.f32 (*.f32 x x)))
(/.f32 #s(literal 3/32 binary32) (*.f32 x x))
#s(literal 3/32 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 1/4 binary32)
(acosh.f32 x)
(log.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) 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)
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) (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 (acosh x) (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 (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (+ (neg (neg (log x))) (log 2)) (log.f32 (+.f32 x x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#s(approx (neg (log x)) (neg.f32 (log.f32 x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#s(approx x x)
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (/.f32 (fma.f32 (.f32 x x) #s(literal 1/4 binary32) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (.f32 x x))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) (/.f32 #s(literal 3/32 binary32) (*.f32 x x)))
#s(approx (+ (/ 3/32 (* x x)) 1/4) (/.f32 (fma.f32 (.f32 x x) #s(literal 1/4 binary32) #s(literal 3/32 binary32)) (.f32 x x)))
#s(approx (/ 3/32 (* x x)) (/.f32 #s(literal 3/32 binary32) (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx (acosh x) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (+.f32 (/.f32 x (sqrt.f32 #s(literal -1 binary32))) (log.f32 (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (acosh x) (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 (acosh x) (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 (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) (.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 (acosh x) (log.f32 (+.f32 x x)))
#s(approx (acosh x) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (acosh x) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))
#s(approx (acosh 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 x x) (.f32 x x))))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (log.f32 (+.f32 x x)))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))
#s(approx (+ (neg (neg (log x))) (log 2)) (log.f32 (+.f32 x x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#s(approx (neg (log x)) (neg.f32 (log.f32 x)))
#s(approx (neg (neg (log x))) (log.f32 x))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(approx (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(literal 1/4 binary32))
#s(approx (+ (/ 3/32 (* x x)) 1/4) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)))
#s(approx (acosh x) (log.f32 (+.f32 x x)))
#s(approx (acosh x) (-.f32 (log.f32 (+.f32 x x)) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))))
#s(approx (acosh x) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))
#s(approx (acosh 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 x x) (.f32 x x))))) (/.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)) 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 (acosh x) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (acosh x) (+.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 (acosh x) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
#s(approx (acosh x) (+.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 (+ (+ (neg (neg (log x))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 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)) (neg (/ (+ (/ 3/32 (* x x)) 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))) (log 2)) (neg (/ (+ (/ 3/32 (* x x)) 1/4) (* x x)))) (+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 #s(literal 2 binary32))) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x))))))
#s(approx (+ (neg (neg (log x))) (log 2)) (+.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))) (+.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 (neg (neg (log x))) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -1 binary32))))
#s(approx (acosh x) (log.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))))
#s(approx (acosh x) (+.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 (acosh x) (+.f32 (log.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) x))) (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 (.f32 x x) (*.f32 x x))))))
#s(approx (acosh x) (+.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)))))

eval12.0ms (0.9%)

Memory: 26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 558 to 716 computations (84.3% saved)

prune4.0ms (0.3%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	141	4	145

Accuracy

100.0%

Counts

145 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.1%	(acosh.f32 x)
▶	98.9%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))

Compiler

Compiled 49 to 35 computations (28.6% saved)

series214.0ms (16.1%)

Memory

-18.3MiB live, 71.2MiB allocated; 16ms collecting garbage

Counts

12 → 37

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
193.0ms	x	@	-inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (log (+ x x)) (+ x x) x (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x))) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (neg (* x x)))
12.0ms	x	@	0	((log (+ x (sqrt (- (* x x) 1)))) (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (log (+ x x)) (+ x x) x (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x))) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (neg (* x x)))
8.0ms	x	@	inf	((log (+ x (sqrt (- (* x x) 1)))) (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (log (+ x x)) (+ x x) x (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x))) (+ (/ 3/32 (* x x)) 1/4) (/ 3/32 (* x x)) 3/32 (* x x) 1/4 (neg (* x x)))

Time

Variable

Point

Expression

193.0ms

-inf

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

12.0ms

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

8.0ms

inf

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

rewrite76.0ms (5.7%)

Memory

7.8MiB live, 52.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	950
0	175	794
0	894	756

Stop Event

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

Counts

49 → 89

Calls

Call 1

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

Outputs
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x))))
(/.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (log.f32 (+.f32 x x))) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x)))) (-.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x))))
(/.f32 (+.f32 (pow.f32 (log.f32 (+.f32 x x)) #s(literal 3 binary32)) (pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 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 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x))) (.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x))))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal -1 binary32) (log.f32 (+.f32 x x)))
(fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) (log.f32 (+.f32 x x)))
(+.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x)) (log.f32 (+.f32 x x)))
(+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.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 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (.f32 x x) (.f32 x x))))
(+.f32 x x)
x
(.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (*.f32 x x)))
(/.f32 (.f32 #s(literal -1 binary32) (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x x))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32))) (neg.f32 (.f32 (neg.f32 x) x)))
(/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x))
(+.f32 (/.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (.f32 (neg.f32 x) x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
(neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)))
(/.f32 (-.f32 #s(literal 1/16 binary32) (.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x)))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) #s(literal 1/16 binary32)) (-.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)))
(/.f32 (+.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 3 binary32))) (+.f32 #s(literal 1/16 binary32) (-.f32 (.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x))) (.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (.f32 x x))))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 3 binary32)) #s(literal 1/64 binary32)) (fma.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (/.f32 #s(literal 3/32 binary32) (.f32 x x)) (-.f32 #s(literal 1/16 binary32) (.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32)))))
(-.f32 #s(literal 1/4 binary32) (.f32 #s(literal -3/32 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x))))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 3/32 binary32) #s(literal 1/4 binary32))
(fma.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/4 binary32))
(+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 binary32))
(+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 3/32 binary32) (*.f32 x x)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal 3/32 binary32))
(.f32 #s(literal 3/32 binary32) (/.f32 #s(literal 1 binary32) (.f32 x x)))
(/.f32 (/.f32 #s(literal 3/32 binary32) x) x)
(/.f32 #s(literal -3/32 binary32) (*.f32 (neg.f32 x) x))
(/.f32 #s(literal 3/32 binary32) (*.f32 x x))
#s(literal 3/32 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 1/4 binary32)
(*.f32 (neg.f32 x) x)
(.f32 (.f32 x x) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 x x))
(*.f32 x (neg.f32 x))
(neg.f32 (*.f32 x x))
#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)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (/.f32 (-.f32 (.f32 (-.f32 (.f32 (log.f32 (+.f32 x x)) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.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 (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x))) (/.f32 #s(literal -3/32 binary32) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x))) (/.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 x x)) #s(literal 3/32 binary32)) (.f32 (.f32 x x) (*.f32 x x))))
#s(approx (+ (/ 3/32 (* x x)) 1/4) (/.f32 #s(literal 3/32 binary32) (*.f32 x x)))
#s(approx (+ (/ 3/32 (* x x)) 1/4) (/.f32 (fma.f32 (.f32 x x) #s(literal 1/4 binary32) #s(literal 3/32 binary32)) (.f32 x x)))
#s(approx (/ 3/32 (* x x)) (/.f32 #s(literal 3/32 binary32) (*.f32 x x)))
#s(approx (* x x) (*.f32 x x))
#s(approx (neg (* x x)) (*.f32 (neg.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))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.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))) (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 (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* 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))))
#s(approx (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (+.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x))) (log.f32 #s(literal 2 binary32))))
#s(approx (log (+ x x)) (+.f32 (neg.f32 (neg.f32 (log.f32 x))) (log.f32 #s(literal 2 binary32))))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))
#s(approx (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x))) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x)))
#s(approx (+ (/ 3/32 (* x x)) 1/4) #s(literal 1/4 binary32))
#s(approx (+ (/ 3/32 (* x x)) 1/4) (+.f32 (/.f32 #s(literal 3/32 binary32) (*.f32 x x)) #s(literal 1/4 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 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 (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* x x)))) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))))
#s(approx (+ (log (+ x x)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* 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)) (/ (+ (/ 3/32 (* x x)) 1/4) (neg (* 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 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (.f32 (neg.f32 x) x))))
#s(approx (log (+ x x)) (+.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (log.f32 #s(literal -2 binary32))))

eval7.0ms (0.5%)

Memory: 13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 913 to 448 computations (84.6% saved)

prune4.0ms (0.3%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	88	4	92

Accuracy

100.0%

Counts

92 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	97.5%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.1%	(acosh.f32 x)
✓	98.9%	#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f32 (log.f32 (+.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3/32 binary32) (.f32 x x)) #s(literal 1/4 binary32)) (neg.f32 (.f32 x x)))))

Compiler

Compiled 128 to 72 computations (43.8% saved)

regimes27.0ms (2%)

Memory

-39.1MiB live, 15.6MiB allocated; 6ms collecting garbage

Accuracy

Total -16.0b remaining (-5385.2%)

Threshold costs -16b (-5385.2%)

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

Outputs
(acosh.f32 x)

Calls

3 calls:

23.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
2.0ms	x
2.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

Accuracy	Segments	Branch
99.1%	1	`(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))`
99.1%	1	`(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))`
99.1%	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

derivations3.0ms (0.2%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess11.0ms (0.8%)

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%)

sample630.0ms (47.4%)

explain86.0ms (6.5%)

preprocess6.0ms (0.5%)

series6.0ms (0.4%)

rewrite68.0ms (5.2%)

eval5.0ms (0.4%)

prune2.0ms (0.2%)

series92.0ms (6.9%)

rewrite75.0ms (5.6%)

eval12.0ms (0.9%)

prune4.0ms (0.3%)

series214.0ms (16.1%)

rewrite76.0ms (5.7%)

eval7.0ms (0.5%)

prune4.0ms (0.3%)

regimes27.0ms (2%)

derivations3.0ms (0.2%)

preprocess11.0ms (0.8%)

end0.0ms (0%)

Profiling