Metrics for Rust f32::acosh

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.0s (50.1%)

Memory

-10.8MiB live, 757.7MiB allocated; 400ms collecting garbage

Samples

623.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 357.0ms

ival-acosh: 350.0ms (98% of total)

adjust: 3.0ms (0.8% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain250.0ms (12.4%)

Memory

-8.1MiB live, 238.4MiB allocated; 95ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(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	131	0
↳	`(*.f32 x x)`	overflow	131
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	131
`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	131
↳	`(-.f32 (*.f32 x x) #s(literal 1 binary32))`	overflow	131

Confusion

	Predicted +	Predicted -
+	131	0
-	0	125

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	0	0	125

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	125
1	129
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

139.0ms

512×

valid

Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions

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

ival-log: 56.0ms (59.8% of total)

ival-sub: 15.0ms (16% of total)

ival-mult: 10.0ms (10.7% of total)

ival-sqrt: 6.0ms (6.4% of total)

ival-add: 4.0ms (4.3% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess244.0ms (12.1%)

Memory

9.9MiB live, 195.8MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
0	7	9
0	12	9
1	22	9
2	49	9
3	121	9
4	383	9
5	2335	9
6	7889	9
0	8019	8

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

series7.0ms (0.4%)

Memory

11.8MiB live, 11.8MiB 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)

rewrite78.0ms (3.9%)

Memory

3.5MiB live, 93.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

49 → 64

Calls

Call 1

Inputs
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))
x
(sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))
(-.f32 (*.f32 x x) #s(literal 1 binary32))
(*.f32 x x)
#s(literal 1 binary32)
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx x #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (- (* x x) 1) #s(hole binary32 -1))
#s(approx (- (* x x) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* x x) #s(hole binary32 (pow x 2)))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 1) #s(hole binary32 (pow x 2)))
#s(approx (- (* x x) 1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))

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

eval13.0ms (0.7%)

Memory: -27.6MiB live, 16.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 1 186 to 316 computations (73.4% saved)

prune3.0ms (0.1%)

Memory

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

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Accuracy

100.0%

Counts

69 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
▶	51.9%	(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))))
▶	96.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
▶	99.2%	(acosh.f32 x)

Compiler

Compiled 31 to 25 computations (19.4% saved)

series99.0ms (4.9%)

Memory

-17.8MiB live, 92.0MiB allocated; 60ms collecting garbage

Counts

12 → 95

Calls

Call 1

Inputs
(acosh.f32 x)
x
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(+.f32 x #s(approx (sqrt (- (* x x) 1)) x))
#s(approx (sqrt (- (* x x) 1)) x)
(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))))
(+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))))
(sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))
(expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))
(*.f32 (log.f32 x) #s(literal 2 binary32))
(log.f32 x)
#s(literal 2 binary32)

Outputs
#s(approx (acosh x) #s(hole binary32 (log (sqrt -1))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (acosh x) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx x #s(hole binary32 x))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary32 (log (sqrt -1))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary32 (+ (log (sqrt -1)) (/ x (sqrt -1)))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1))) #s(hole binary32 (sqrt -1)))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary32 (+ x (sqrt -1))))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary32 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1)) #s(hole binary32 (sqrt -1)))
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary32 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))))
#s(approx (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1) #s(hole binary32 -1))
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary32 (- (pow x 2) 1)))
#s(approx (* (log x) 2) #s(hole binary32 (* 2 (log x))))
#s(approx (log x) #s(hole binary32 (log x)))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (acosh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (acosh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 x))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary32 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1))) #s(hole binary32 (* 2 x)))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary32 (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary32 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1)) #s(hole binary32 x))
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary32 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary32 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))
#s(approx (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1) #s(hole binary32 (pow x 2)))
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary32 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (* (log x) 2) #s(hole binary32 (* -2 (log (/ 1 x)))))
#s(approx (log x) #s(hole binary32 (* -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 (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary32 (+ (log -1/2) (log (/ -1 x)))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary32 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))))
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1))) #s(hole binary32 (/ 1/2 x)))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary32 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))))
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 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 (- (exp (* (log x) 2)) 1)) #s(hole binary32 (* -1 x)))
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary32 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))))
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))))
#s(approx (* (log x) 2) #s(hole binary32 (* 2 (+ (log -1) (* -1 (log (/ -1 x)))))))
#s(approx (log x) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
62.0ms	x	@	0	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2)
27.0ms	x	@	-inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2)
8.0ms	x	@	inf	((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2)

Time

Variable

Point

Expression

62.0ms

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2)

27.0ms

-inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2)

8.0ms

inf

((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2)

rewrite179.0ms (8.9%)

Memory

25.9MiB live, 69.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	2236
0	287	1674
0	1315	1604

Stop Event

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

Counts

107 → 124

Calls

Call 1

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

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

eval60.0ms (3%)

Memory: -31.6MiB live, 12.7MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 403 to 358 computations (74.5% saved)

prune5.0ms (0.3%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	81	4	85

Accuracy

100.0%

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
✓	51.9%	(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))))
✓	96.1%	(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
✓	99.2%	(acosh.f32 x)

Compiler

Compiled 62 to 47 computations (24.2% saved)

regimes10.0ms (0.5%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

Accuracy

Total -16.2b remaining (-6086.4%)

Threshold costs -16.2b (-6086.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(acosh.f32 x)
(log.f32 (+.f32 x #s(approx (sqrt (- (* x x) 1)) x)))
(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
(log.f32 (+.f32 x (sqrt.f32 (expm1.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))))))

Outputs
(acosh.f32 x)

Calls

3 calls:

3.0ms	x
3.0ms	(log.f32 (+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))))
3.0ms	(+.f32 x (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))))

Results

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify25.0ms (1.3%)

Memory

-28.2MiB live, 21.1MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2

Stop Event

1×

saturated

Calls

Call 1

Inputs
(acosh.f32 x)

Outputs
(acosh.f32 x)

derivations7.0ms (0.4%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 2 to 2 computations (0% saved)

preprocess26.0ms (1.3%)

Memory: 2.7MiB live, 48.4MiB allocated; 7ms 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%)

sample1.0s (50.1%)

explain250.0ms (12.4%)

preprocess244.0ms (12.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series7.0ms (0.4%)

rewrite78.0ms (3.9%)

eval13.0ms (0.7%)

prune3.0ms (0.1%)

series99.0ms (4.9%)

rewrite179.0ms (8.9%)

eval60.0ms (3%)

prune5.0ms (0.3%)

regimes10.0ms (0.5%)

simplify25.0ms (1.3%)

derivations7.0ms (0.4%)

preprocess26.0ms (1.3%)

end0.0ms (0%)

Profiling